Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Firstly, I'm not from the USA so I'm not sure if I've understood the question correctly (different phrasing of the question here in the UK), but I hope I've done this right and this helps! :)

Method 1:

I would draw the graph! It makes it easier to visualise. You don't have to do a neat proper graph, just scribble something down. If you then count the number of squares between point A and point B you would get 5.

Method 2:

This is probably a more MATHEMATICAL method, but I think Method 1 or Method 2 are both fine. Since we are only asked about point A and point B, we don't have to think about points C or D. Since this is a rectangle, we know that the line would be straight and would also likely be perpendicular / parallel to the x or y axis. If we compare the coordinates of points A and B, we can see that they both have -6 in them: this shows us that these points are along the same row. So all you have to do is find the difference between the tow other points, i.e. the -8 in A and the -3 in B. -3 minus -8 = 5. So that gives you the length of the side.

I hope this helped, sorry for the lengthy explanation and slightly dodgy vocabulary (?).

Bluey

Answer 2

Answer:

Step-by-step explanation:

You could use distance formula to find the length

A( -8, -6) ; B(-3,-6)

Distance= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]AB =\sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\= \sqrt{(5)^{2}+0}\\\\= \sqrt{5^{2}}\\[/tex]

AB = 5 units


Related Questions

Horatio wants to ship a batch of 8 machine parts. The packaging for each part weighs 2 pounds. If each part weighs x pounds, which expression represents the total weight of the parts and their packaging? And if each part weighs 6 pounds, what will the total weight of the shipment be? A. The expression is 2(x + 8), and the weight is 28 pounds. B. The expression is 8(x – 2), and the weight is 32 pounds. C. The expression is 8x – 2, and the weight is 46 pounds. D. The expression is 8x + 2, and the weight is 50 pounds. E. The expression is 8(x + 2), and the weight is 64 pounds. Reset Next

Answers

Answer: E. The expression is 8(x + 2), and the weight is 64 pounds.

Step-by-step explanation:

Given: Number of machine parts in a batch = 8

weight of packaging for each part = 2  pounds

Let  x be the weight of each part ( in pounds).

Weight of each part with packaging = x+2

Then, Total weight of the parts and their packaging =  (Number of machine parts) x (Weight of each part with packaging )

= 8(x+2)

If each part weighs 6 pounds, then put x= 6

Total weight of the parts and their packaging =  8(6+2)

= 8 x 8 = 64 pounds

Hence, If each part weighs 6 pounds, then the total weight of the shipment will be 64 pounds .

Here is what we know:

8 machine parts

each part = x pouunds

packaging for each part is 2 pounds so 16 pounds for packaging

If y=total weight wiith that information we can form this equation

y=8x + 16

If each part equals 6 pounds the total shipment will be

y=8x+16

y=8(6) + 16

y= 48 + 16

y=64

Please help me on this question

Answers

Answer:

x = [tex]\frac{k(a+r)}{7}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{7x}{k}[/tex] - r ( add r to both sides )

a + r = [tex]\frac{7x}{k}[/tex] ( multiply both sides by k to clear the fraction )

k(a + r) = 7x ( divide both sides by 7 )

[tex]\frac{k(a+r)}{7}[/tex] = x

Answer:

        ak - kr                 k(a - r)

x = --------------  or  x = ------------

             7                          7

Step-by-step explanation:

1. Multiply all three terms by k to eliminate the fraction:

ak = 7x - kr

2.  Subtract kr from both sides:

7x = ak - kr

3.  Divide both sides by 7:

        ak - kr                 k(a - r)

x = --------------  or  x = ------------

             7                          7

Pls help with this question thank u all

Answers

Answer:

4 cm (A)

Step-by-step explanation:

triangle BAC is just a larger version of triangle EAD. given that ED is 5cm, and BC is 10cm, triangle BAC must be twice the size of EAD. since the ratio of AD to ED is 4:5, and BC is twice the size, all we need to do is multiply both sides by 2 to find length AC. 4*2 = 8. now we can subtract length AD from AC to get CD. 8 - 4 = 4.

sorry if what i wrote is a little confusing

Answer:

(A) 4cm


Explanation

Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200​

Answers

Answer:

$1500

Step-by-step explanation:

It is given that

Rent  = $100

Groceries and drinks = $1000

Insurance premiums   = $10

Loan interest payment  =$30

Clothes  = $200

Utilities  = $300

Home security fee  = $200​

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]

Therefore, total variable cost for last month is $1500.

Answer:

$1500

Step-by-step explanation:

I just took the test and got it right

What is 10^4 in standard notation

Answers

Answer:

10,000

Step-by-step explanation:

Standard notation is just the normal way of writing things. 10 x 10 x 10 x 10 = 10,000.

ANSWER : 10,000

BECAUSE: 10 x 10 x 10 x 10 = 10,000

What is the measure of Angle X W Y? Triangle X W Y. The exterior angle to angle W is 74 degrees. 16 degrees 74 degrees 106 degrees 116 degrees

Answers

Answer: 106 degrees

The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.

Answer:

the answer is 74

Step-by-step explanation:

i did the cumulative test

Write the function f(x) = x^2 + 8x + 12 in vertex form. Enter all work. Please help me.

Answers

Hello!

Answer:

f(x) = (x + 4)² - 4

Step-by-step explanation:

Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:

f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²

Simplify:

f(x) = (x² + 8x + 16) + 12 - 16

Subtract to find the 'k' value:

f(x) = (x + 4)² - 4. This is the equation in vertex form.

The taxi fare in Gotham City is $2.40 for the first ½ mile, and each additional mile costs $0.20. You plan to give the driver a $2.00 tip. How many miles can you ride for $10.00?

Answers

Answer:

He can ride for 28 miles

Step-by-step explanation:

Total cost of the ride = $ 10

Tips = $ 2

Cost of ride excluding tips = 10 - 2 = $ 8

Taxi fare for first 500 miles = $ 2.40

Taxi fare excluding first 500 miles =  8 - 2.40 = $ 5.60

distance traveled by him excluding first 500 miles = 5.60 ÷ cost of additional mile

 = 5.60 ÷ 0.20

=28 miles

Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point C(5, 12).
If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of CD is ___. The point ____ lies on CD.

Answers

Answer:

y = -x + 17

Step-by-step explanation:

A(-10,-3)

B(7,14)

C(5,12)

Need line CD perpendicular to AB through C.

Solution:

slope of AB, m1 = (yb-ya) / (xb-xa) = (14- -3) / (7- -10) = 17/17 = 1

Slope of CD, m2 = -1/m1 = -1 / 1 = -1

Line CD through C, using the point slope form

y-yc = m2(x-xc)

y-12 = -1 (x-5)

rearrange

y = -x + 5 + 12

y = -x + 17

Answer:

x intercept of CD is (17, 0)

Point (-2, 19) lies on CD

Step-by-step explanation:

Line 'L' is horizontal and passes through (-5,8). Line 'L is vertical and passes through $(4,-1)$. Find the point of intersection of $\ell_1$ and $\ell_2$.

Answers

The two lines intersect at (4,8)

Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)

Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)

Put this together to get the answer (x,y) = (4,8)

Answer:

The two lines intersect at (4,8).

Estimate to the nearest hundredth: √48 A. 6.93 B. 7.12 C. 24.00 D. 6.55

Answers

Answer:

The answer is option A.

√48 = 6.93 to the nearest hundredth

Hope this helps you

Answer:

A

Step-by-step explanation:

Use the De Morgan law that states: ~(p ∧ q) is equivalent to ~ p ∨ ~ q to write an equivalent English statement for the statement. It is not the case that a gun and a nose are both weapons. A gun is not a weapon or a nose is not a weapon. guns are not noses. A gun is a weapon but a nose is not. A gun is not a weapon and a nose is not a weapon.

Answers

Answer:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Step-by-step explanation:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

The equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

What is De Morgan's Law?

The De Morgan's law states that → ~(p ∧ q) is same as (~ p ∨ ~ q). Theoretically, we can write it as → Not (A and B) is the same as Not A or Not B.

Given is the following statement - It is not the case that a gun and a nose are both weapons.

Now, we know that the De Morgan's law states that → Not (A and B) is the same as Not A or Not B. In the statement given -

A = gun

B = nose

~(p ∧ q) = Not(A ∧ B)

So, we can write it as -

~(p ∧ q) =  Not(A ∧ B) = A gun is not a weapon or a nose is not a weapon.

where -

A gun is not a weapon → ~p

or →

a nose is not a weapon → ~q

Therefore, the equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

To solve more questions on De Morgan's Law, visit the link below-

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An airplane takes 5 hours to travel a distance of 3900 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is _____ (mph,hour,miles) and the speed of the wind is ____(mph,hour,miles)

Answers

Answer:

not quite sure what this is asking for but the average speed is 7800/11

It did 7800/11 ¯\(º_o)/¯

A prism has a volume of 238 cubic millimeters. Which is the correct substitution for finding the length of the prism?

Answers

Answer:

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Step-by-step explanation:

A prism has a volume of 238 cubic millimeters.

A prism has a length of l millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters.

Which is the correct substitution for finding the length of the prism?

A. V = l w h. 238 = l + 8 and one-half + 3 and one-half

B. V = l w h. V = 238 times 8 and one-half times 3 and one-half

C. V = l w h. l times 8 and one-half times 3 and one-half

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

From the question

V=lwh

Volume of a prism=length)(width)(height)

Volume=238

l= l mm

w= 8 1/2

h= 3 1/2

Substituting all the values

V=lwh

238= l * 8 1/2 * 3 1/2

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Answer:

D

Step-by-step explanation:

got it right on edge 2020

The circle below has center C. Suppose angle EDF = 84º and DF is tangent to the circle at D.
Find the following. Type your numerical answers (without units) in each blank.

Answers

Answer: [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Step-by-step explanation:

In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.

Also, CE = CD = radius

⇒ ∠CED = ∠CDE  ---(i)  [angles opposite to equal sides of triangle are equal]

Since radius makes a right angle with tangent.

So, ∠CDF = 90°

⇒ ∠CDE =∠CDF - ∠EDF

⇒ ∠CDE=  90° - 84°

⇒ ∠CDE = 6°

From (i) ∠CED =∠CDE = 6°

In ΔCDE

⇒∠CED + ∠CDE + ∠ECD =  180°

⇒ 6°+6°+ ∠ECD =  180°

⇒ 12°+ ∠ECD =  180°

⇒∠ECD =  180° - 12°

⇒∠ECD =  168°

Since , Angle measure of the central angle is equal to the measure of the intercepted arc.

Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]

⇒[tex]m\overbrace{ED}[/tex]=  168°

Hence,  [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Can you pleease help ill mark as brainliest

Answers

Answer:

Step-by-step explanation:

to reflect an object in given line , measure the distance perpendicular to the line from each point and to the other side by line


Now let reflect

Here a picture

Hope this help you

Can someone answer a-c please!

Answers

Okay

Here an example for factoring the zero

A. X^2+x -20=0

(X+3) (x-4)=0

X+3=0 X-4=0

X=-3 Or x= 4


Here an an example for quadratic form


X-2=0

Formula for quadratic form is

Ax^2 +bx +c =0

Discriminant =b^2 -4ac


0^2 -4(1)(-2)=8

So 8 is not perfect square


Here we a solution

X= -b+-√b^2-4ac/2a

X= -0+_ √0^2-4(1)(-2)/2(1)


X=-0+_ √8/2

X= +_2 √2/2

Cancel 2

+_ √2



And last question which one you prefer so you can choice any


Hopefully this help you :)


The function h is defined by h (x) = x^2 +5.
Find h (4a).
????

Answers

Answer:

16a^2+5

Step-by-step explanation:

Please help with the questions on the picture, it's very urgent......Thank you✨​

Answers

Answer:

2. sinθ= cos 35°

sinθ= sin(90°-35)

θ= 55°

3. cos4θ= sin5θ

cos 4θ= cos (90-5θ)

4θ=90°-5θ

collect like terms

4θ+5θ=90°

9θ=90° (divide both sides by 9)

therefore θ=10°

Which value makes the inequality x^2 ≥ x false?
A. -1/4
B. 0
C. 1/4
D. 1

Answers

Answer:

D

Step-by-step explanation:

cas if x =1

then 1^2>or=1

1is not >or=1

the answer is D. -1/4 because it would make 1=1 instead of greater than or equal to 1

describe the y-intercept in terms of knots and rope length

Answers

Answer:

what is the y-intercept sorry i can't help there isn't enough information

Step-by-step explanation:

Which relation is a function? Coordinate grid with graph of a vertical line at x equals 3. A coordinate grid with graph of a curve that increases through the third quadrant through the origin and exits the first quadrant A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin.

Answers

Answer:

the answer is "A coordinate grid containing a U shape with arrows on both ends that opens to the right.  The bottom portion of the U passes through the origin"

I took the test.  Good luck!

A function is a coordinate grid containing a U shape with arrows on both ends that opens to the right, and in which the bottom portion of the U passes through the origin.

A function is a rule that connects outputs to each value. The relationship between value and output is often described with a mathematical formula, where the value is represented by one or more variables, alternatively by a table or graphically by a graph, a relationship diagram or an arrow diagram.

An important property of functions is that they are deterministic (that is, consistent, so that each value always gives the same value). This means that the function can be seen as a machine, which systematically delivers output values ​​as soon as input values ​​are inserted.

Learn more in https://brainly.com/question/23505310

Convert 18 ft to yards

Answers

Answer:

6 yds

Step-by-step explanation:

We know there are 3 ft in 1 yd

Divide  by 3 ft

18 ft / 3 ft = 6 yds

Answer:

6 yards

Step-by-step explanation

1 yard= 3 feet

Gary runs a recycling centre for a local charity.
New staff have to take part in 7 hours of training before they can
work at the centre,
Gary needs to arrange a training programme for new staff.
The training programme will start on Monday 5th September
Each training day:
1) starts at 10 am and must finish by 5 pm
2)has sessions in 2 hour blocks which include a 15 minute
break
3)has a 1 hour break for lunch

The 15 minute breaks and
lunch do not count towards the 7 hours of training

At the end of the training there will be a 90 minute assessment.

Gary needs to know the least number of days he needs to allocate
for the 7 hours of training and the assessment.
Plan a training programme for Gary.
Show the start and finish times for the sessions on your plan.​

Answers

Answer:

Just use 2 days

Step-by-step explanation:

Train for 2

Break

Train for 2

Break

Lunch

Day 2:

Train for 2

Break

Lunch

Exams


9. Find the value of x. Using that value, what is the
measurement of ZUTQ?
thank you <3

Answers

Answer:

92°

Step-by-step explanation:

We know that [tex]\overline{QV}[/tex] is a straight line which means that we know that ∠QTU + ∠VTU = 180

11x+4+∠VTU = 180

∠VTU = 180-11x-4

∠VTU = 176-11x

Then, using the triangle inequality, we know that ∠VTU+∠TUV+∠UVT = 180

3x+14+54+176-11x=180

-8x+244=180

-8x = -64

x=8

Now we can substitute and solve for ∠UTQ

11(8)+4 = 88+4 = 92°

Answer: 92°

Step-by-step explanation:

Please help will mark brainliest
the bearing from Canada to Atlanta is 040 degrees. Calculate the bearing from Atlanta to Canada

Answers

Answer:

The bearing from Atlanta to Canada is 220 degrees

Step-by-step explanation:

Given

Represent Canada with C and Atlanta with A

Bearing from C to A = 040

Required

Determine the bearing from A to C

This concept is referred to as Back Bearing and it's calculated as follows.

Because the front bearing is less 180 (040, to be precise), we have to add it to 180 to get the back bearing;

Hence,

[tex]A\ to\ C\ =\ 180\ + C\ to\ A[/tex]

Substitute 040 for C to A

[tex]A\ to\ C\ =\ 180\ + 040[/tex]

[tex]A\ to\ C\ =\ 220[/tex]

Hence, the bearing from Atlanta to Canada is 220 degrees

Help Help Help ! Math wiz

Answers

Answer:

This is not an exponential function because the variable is in the exponent position.

The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height. Assuming the trunk is at least 96 inches deep can the tv fit into the trunk? Explain

Answers

Answer:

It states that assuming the trunk is 96" long.  So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.

Step-by-step explanation:

The length of the diagonal of the trunk is 56.356011 inches.

What is Pythagoras Theorem?

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.

Given:

height of the trunk= 26 inches

length of the trunk= 50 inches

using Pythagorean theorem,

diagonal length of the trunk=√(height² +length²)

=√(26²+50²)

=√3176

=56.356011 inches

Hence, the length of the diagonal of the trunk is 56.356011 inches.

Learn more about this concept here:

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What is the surface area of the rectangular pyramid below? 13,13,13

Answers

Answer:

1,014

Step-by-step explanation:

Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be

13x13x6 (6 sides)

=1014

Answer:

507

Step-by-step explanation:

apeex

Which statement is true about the polynomial 5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified? It has 3 terms and a degree of 9. It has 3 terms and a degree of 10. It has 4 terms and a degree of 9. It has 4 terms and a degree of 10.

Answers

Answer: The polynomial has 3 terms and a degree of 10.

Step-by-step explanation:

The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]

Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.

Combine like terms , we get

[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.

Degree of [tex]6st^9[/tex]  is 1+9=10;

Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;

Degree of  [tex]- 6t^7[/tex]  is 7.

Since degree of the polynomial = highest degree i.e. 10

Hence, the polynomial has 3 terms and a degree of 10.

The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.

Discussion:

By counting the number of terms in the polynomial;

We can conclude that the polynomial has 4 terms and hence can be called a tetranomial.

Additionally, the degree of the polynomial is 10.

This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.

Read more on polynomial degree;

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If f ( x) = 4x2 and g( x) = 5x , what isg( f (2x)) ? Which two features of Earth's crust involve tension?O A. Convergent boundariesB. Reverse faultsc. Divergent boundariesO D. Normal faults One implication of the bird-in-the-hand theory of dividends is that a given reduction in dividend yield must be offset by a more than proportionate increase in growth in order to keep a firm's required return constant, other things held constant. a. True b. False what is a chemical bond? an attractive force between 2 molecules John Cage'shas a percussive sound inspired by African dance music and reminiscent of gamelan music.O A. tablaO B. prepared pianoO C. musique concrteO D. synthesizer b. i. In a hydraulic press, a force of 200N is applied to master piston of area 25cm. 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Which logical fallacy do these sentences demonstrate?reversing causal directiongenetic fallacycorrelation proves causationfallacy of the single cause LSM subcontracted with Henry Isaacs Home Remodeling and Repair (Isaacs) to perform the roofing work on the project. Isaacs in turn subcontracted with Hal Brewster Home Improvements (Brewster), to conduct the roofing work on Isaacs' behalf. When Brewster performed work on the roof, he "botched the job" and caused extensive leaking inside the house. LSM and Issacs attempted to correct the problems, but eventually abandoned the project, leaving Logan-Baldwin to hire others to complete the renovations. Logan-Baldwin sued LSM, Isaacs, and Baldwin for breach of contract. Isaacs sought to dismiss Logan-Baldwin's claim against it, arguing no privity of contract existed between themselves and Logan-Baldwin, and therefore Isaacs should not be liable for any damages.Required:Does Logan-Baldwin have contract rights over Isaacs as an intended third-party beneficiary? 1. Because Henry Isaacs delegated its duty to repair the roof to Brewster, Henry Isaacs remains responsible for Brewster's failure to install the new roof on the residence properly. a. True b. False2. Logan-Baldwin is entitled to compensatory damages (covering the cost of hiring other contractors to fix the roof) caused by the breach of contract by LSM and Henry Isaacs. a. True b. False3. Logan-Baldwin qualified as a third party creditor beneficiary of the contract between LSM and Henry Isaacs and the contract between Henry Isaacs and Brewster, even if Logan-Baldwin is not named in those contracts. a. True b. False4. Palisades Plaza is not entitled to damages for breach contract by LSM, Henry Isaacs, and Brewster unless Palisades Plaza has clean hands and has tendered performance under the contract. a. True b. False5. If the agreement between Henry Isaacs and Brewster to install a new roof is a novation, Henry Isaacs is not liable for breach of contract for the failure to install the new roof properly.a. True b. False Name the polar and tropical air masses that affect U.S. weather. Describe the pattern of movement across the continent and patterns of precipitation associated with warm and cold fronts. Complete each statement with the correct term from the drop-down menu.Many molecules are moved through the body by . provide structure for plants. determine what people look like.Cells are surrounded and protected by . speed up chemical reactions in the body.Hemoglobin, a protein, is built by .The human body is insulated by Elliot became widowed after nearly 40 years of marriage. He has convinced himself that no one will ever love him again. His irrational thinking has caused him to suffer from depression, and he rarely leaves his house. What perspective might BEST explain his behavior Your sister asks you to pick out one of her CDs to listen to. She has 6 rock, 4 country, and 4 rap CDs. If you pick one at random, what is the probability that you pick a country CD? Ama has a rectangular garden measuring 12m and 25m.He wants to divide it into square plots of equal sizes .What is the largest sized square he can use? An electron and a proton each have a thermal kinetic energy of 3kBT/2. Calculate the de Broglie wavelength of each particle at a temperature of 1950 K. (kb is Boltzmann's constant, 1.38x10-23 J/K). You short 200 contracts of a call option on Stock XYZ. The contract multiplier is 100, i.e. each contract is on 100 shares of the stock.In addition, you hold the following positions as of the end of previous trading day: 15,559 shares of the underlying stock; and $809,608 in debt.The XYZ stock price is $51 right now. The risk-free interest rate is 4% per year. There are 252 trading days in a year.Using the Black-Scholes model, you establish that the total delta of your option position is-13,495You adjust your hedge to bring your shareholding to match the new option delta. Which of the following is correct for your DEBT account, after you make the necessary adjustments?a. $809,608 - (15,559 13,495)*51 = 704,344b. $809,608e(0.04*1/252) + (15,559 13,495)*51 = 915,000c. $809,608e(0.04*1/252) (15,559 13,495)*51 = 703,932d. $809,608 + (15,559 13,495)*51 = 914,872 Complete the sentences with the third conditional. 2. Jawaher............... (not/be) so upset if she............... (pass) the driving test.3. If muntaha......... (be) hungry, she........... (have) something to eat.4. I................... (phone) you if i............... (have) your telephone.5. I........................ (sell) my sapphire ring if I.............. (not/give) it to my niece.6. I........... (win) the competition if i................ (know) all the answer.7. You............... (learn) French if you............. (stay) linger in paris.8. If i.................. (see) my aunt, i............. (tell) her the good news.9. My sister.............. (be) happier if she................ (marry) her true love.10. If Hamdan.................. (have) more free time, he.......... (do) his project yesterday.Please help me I need the answer for this questions faster. Pleassssss! Which of these is an example of a trade restriction?A. A tax on all salesB. A law against cartelsC. A zoning ordinanceD. A tariff on imported cars As a general rule, labeling requirements and enforcement tends to be more stringent in ________ countries than in ________ countries. a. Older; younger b. Larger; smaller c. Economically developed; economically developing d. Smaller; larger