Part I
What is the area of the side yard?

Answer:

Hi! The answer to your question is H. [tex]4\sqrt{5}[/tex]

Step-by-step explanation:

[tex]Y1 = 6[/tex]

[tex]Y2 = -2[/tex]

[tex]X1 = 4[/tex]

[tex]X2 = 8[/tex]

[tex]AB = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]AB = \sqrt{(8-4)^2+(-2-6)^2}[/tex]

[tex]AB =\sqrt{(4)^2+(-8)^2}[/tex]

[tex]AB = \sqrt{16+64}[/tex]

[tex]AB = 4\sqrt{5}[/tex]

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Hope this helps!!

- Brooklynn Deka

Answer:

y - 20 = (-1/5)(x - 5)

Step-by-step explanation:

The slope of the given line is 5.  The slope of any line perpendicular to the given line is the negative reciprocal of the given slope:  

Slope of perpendicular line here is -1/5.

We use the point-slope formula as a framework here:

y - 20 = (-1/5)(x - 5)

Answer:

∠P=29°

Step-by-step explanation:

The exterior angle theorem says that the exterior angle of a triangle is equal to the sum of the two remote interior angles.

56=∠P+27

∠P=56-27

∠P=29

Answer:

6.8

Step-by-step explanation:

The solution is : 6.8 is the decimal when 34 divided by 5.

Here, we have,

given that,

34 divided by 5

Given the following mathematical expression;

34 /  5

We would apply the law of division for fractions.

34 /  5

= 34 ÷ 5

= 6.8

the decimal form.

Hence, The solution is : 6.8 is the decimal when 34 divided by 5.

To learn more on division click:

brainly.com/question/21416852

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Answer:

Let J = height of Little Jim. Then Big Jim's height is 2J.

when big jim stands on a bench that is 15 inches high, the top of his head is 53 inches above the top of little jims head.

The above given sentence means 15+ 2J= J+53.

15+2J = J+53

2J-J = 53-15

Answer:

5:15 simplified is 1:3

Hope this helps!

Answer:

5:15 simplified (or divided by 5) is 1:3

Step-by-step explanation:

The answer would be:

C. 5(y^3 - x^2)

Answer:

135

Step-by-step explanation:

So, our first term is 459.

Lets find what our change in terms is. To do this, lets subtract the frist term by the second:

459-450

This will get you 9.

Now that we know our change per term, lets find our 37th term.

All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )

So this is what we can use to solve for this:

459-(9x37)

This equals

135.

Hope this helps!

Step-by-step explanation:

first term = a = 459

common difference = d = 450 - 459 = -9

nth term = an

n = -9

an = a + (n-1)d

= 459 +(37-1)-9

= 459 + (36)-9

= 459 -324

= 135

37 th term = 135

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Answer:

The answer would be C)5

Step-by-step explanation:

The unknown triangle is half of the size of the original triangle, The right side measurement basically hints to the actual answer.

Answer: -4096

Step-by-step explanation:

Answer:

A)

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Step-by-step explanation:

x and y are differentiable functions of t, and we are given the equation:

[tex]xy=6[/tex]

First, let's differentiate both sides of the equation with respect to t. So:

[tex]\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6][/tex]

By the Product Rule and rewriting:

[tex]\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0[/tex]

Therefore:

[tex]\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0[/tex]

A)

We want to find dy/dt when x = 4 and dx/dt = 11.

Using our original equation, find y when x = 4:

[tex]\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}[/tex]

Therefore:

[tex]\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0[/tex]

Solve for dy/dt:

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

We want to find dx/dt when x = 1 and dy/dt = -9.

Again, using our original equation, find y when x = 1:

[tex](1)y=6\Rightarrow y=6[/tex]

Therefore:

[tex]\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0[/tex]

Solve for dx/dt:

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Answer:

500

Step-by-step explanation:

Answer:

B = (10, 9 )

Step-by-step explanation:

Using the midpoint formula

M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A(- 2, 3) and (x₂, y₂ ) = B(x, y) , then equate to the x and y coordinates of the midpoint M(4, 6)

[tex]\frac{-2+x}{2}[/tex] = 4 ( multiply both sides by 2 )

- 2 + x = 8 ( add 2 to both sides )

x = 10

and

[tex]\frac{3+y}{2}[/tex] = 6 ( multiply both sides by 2 )

3 + y = 12 ( subtract 3 from both sides )

y = 9

Then B = (10, 9 )

1. x+12

2. x-8

3. 3*x

4. x^(2)+5

5. (x/2)+7

6. 4*(x+6)

7. (1/2)*x

8. 2x+8

9. x^(2)+3

10. (x/3)+12

Additional activity

1. 2-50

2.20/4=5

3.100-50=50

4.three times two then add to four equals ten

5. the diffrence of eight and four

Answer:

it 5

Step-by-step explanation:

i got i correct

Answer:

24 will be your answer.

Step-by-step explanation:

Answer:

The author thought the event was exciting and interesting

Answer:

The complementary angle is 41 degrees

Step-by-step explanation:

A complementary angle is when two angles add up to 90

90 = 49 + x

90 - 49 = 49 - 49 + x

41 = x

Answer:

f= -2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

f(3)=−2

Step 1: Simplify both sides of the equation.

3f=−2

Step 2: Divide both sides by 3.

3f

3

=

−2

3

f=

−2

3

Answer:

f=

−2

3

Answer:

33 square units

Step-by-step explanation:

Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.

The area of a rectangle is simply [tex]A = bh[/tex], where b represents the base and h represents the height.

Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.

Substituting in the values, we get:

[tex]A = (6)(4)\\A = 24[/tex]

The area of the rectangle is 24 square units

The area of a triangle is simply [tex]A = \frac{1}{2} bh[/tex].

The base of each triangle is 3, and the height of each triangle is also 3.

Substituting in the values, we get:

[tex]A = \frac{1}{2} (3)(3)\\A = \frac{1}{2} (9)\\A = 9 / 2\\A = 4.5[/tex]

The area of each triangle is 4.5 square units

To get the area of the polygon, we simply add up the area of the rectangle and both triangles

[tex]A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33[/tex]

The total area of the polygon is 33 square units.

Answer:

C is the correct answer

Step-by-step explanation:

Answer:

the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

Step-by-step explanation:

The computation of the cost of one cherry pie and the lemon meringue pie is shown below:

Let us assume the cherry pie be x

And, the lemon meringue pie be y

So according to the question

x + 5y = $69

5x + 7y = $129

Now multiply by 5 in the equation 1

5x + 25y = $345

5x + 7y = $129

18y = $216

y = $12

And, x would be

x + 5($12) = $69

x = $9

Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

Answer:

17 is what percent of 60? = 28.33.

what percent of 238 is 48 = 20.17

what percent of 365 is 40 = 10.96

Step-by-step explanation:

Answer:

Area = 42 in^2

Step-by-step explanation:

here's your solution

=> divide above picture in two parts

=> rectangle and traingle

=> area of rectangle = length* width

=> area of rectangle = (5*6)in.

=> area of rectangle = 30 in^2

=> now, area of traingle = 1/2*base *height

=> area of traingle = 1/2*4*6

=> area of traingle = 12 in^2

=> area of figure = 30 in^2 + 12 in^2

=> Area = 42 in^2

hope it helps

Answer:

42 in.²

Step-by-step explanation:

We need to find the area of the rectangle and then the triangle and then add them up. For the rectangle its 6 x 5 = 30 and for the triangle its 6 x 4 = 24/2 = 12 *we have to divide by 2 because we are finding the area of a triangle*. So we add 30 + 12 = 42 so your answer is 42 in.²

:DDD hope I was able to help

log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )

log3 ( x )( x - 2 ) = log3( x + 10 )

log3 ( x^2 - 2x ) = log3( x + 10 )

x^2 - 2x = x + 10

x^2 - 3x - 10 = 0

( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2

Answer:

a, b, c are all perfect square trinomials

Step-by-step explanation:

a)  (x+3)²

b) (w²-2)²

c) (xy-1)²

Answer:

60%

Convert fraction (ratio) 15 / 25 Answer: 60%