Right isosceles triangles are constructed on the sides of a3−4−5 right triangle, as shown. A capital letter represents the area of each triangle. What is X+Y /z

Answer:

-3.2 is the opposite of 3.2

2.3 is the opposite of -2.3

1.5 is the opposite of -1.5

-5.1 is the opposite of 5.1

Step-by-step explanation:

If your value is a positive, make it a negative

Ex. 3-->-3

If your answer is a negative, make it a positive

Ex. -3-->3

Answer:

-3.2 is the opposite of 3.2

2.3 is the opposite of -2.3

1.5 is the opposite of -1.5

-5.1 is the opposite of 5.1

Answer:

The second option (see attached image)

Step-by-step explanation:

You are looking for a box diagram that represents 9 units, and from those, clearly marked sections that contain 3/2 = 1.5 units.The idea is to count how many 1.5 units you have in 9 units.

The in the second diagram you see 9 boxes subdivided in half. Then outlined in red other smaller boxes of length 1.5 units. We can clearly see from the diagram that there are exactly 6 of these smaller 1.5 units red boxes to produce the total 9 unit object.

Answer:

c. x ≤ 6

Step-by-step explanation:

Well we can tell the line is solid so we can cross out answers,

b.

And it is 6 units to the right where x is less than or equal to 6.

Thus,

the answer is c. x ≤ 6.

Hope this helps :)

Answer:

C

Step-by-step explanation:

x less than or equal to 6

If there had been a dashed vertical line at 6, it would have just been less than

Answer:what!?

Step-by-step explanation:

Answer: $ 82,531.59.

Step-by-step explanation:

Formula to calculate the accumulated amount compounded daily:

[tex]A=P(1+\dfrac{r}{365})^{t}[/tex]

,where P=principal amount, t=time ( in days ), r =rate of interest.

Given: P= $51,123.21

r = [tex]2\dfrac{3}{8}\%=\dfrac{19}{8}\%=0.02375[/tex]

t= 20 years 2 months

[tex]= 20(365)+\dfrac{2}{12}(365)\\\\= 7360.83[/tex]  [1 year = 365 days, 1 year = 12 months]

Substitute all values in the formula, we get

[tex]A=(51123.21)(1+\dfrac{0.02375}{365})^{7360.83}\\\\\approx82531.59[/tex]

hence, future value = $ 82,531.59.

Answer:

3 dolla

Step-by-step explanation:

Answer:

a) [tex]\boxed{-4}[/tex]

b) [tex]\boxed{26}[/tex]

c) [tex]\boxed{-12}[/tex]

d) [tex]\boxed{-9}[/tex]

e) [tex]\boxed{10}[/tex]

f) [tex]\boxed{-12}[/tex]

Step-by-step explanation:

1) [tex]\frac{41 - 3^2}{\sqrt{36}* 3-26 }[/tex]

=> [tex]\frac{41-9}{6*3-26}[/tex]

=> [tex]\frac{32}{18-26}[/tex]

=> [tex]\frac{32}{-8}[/tex]

=> -4

2) [tex]12+\sqrt[3]{8} * (9-2)[/tex]             ∴ [tex]\sqrt[3]{8} = 2[/tex]

=> [tex]12+2*(7)[/tex]

=> 12 + 14

=> 26

3) [tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]

=> [tex]\frac{28-(49+3)}{-13+15}[/tex]

=> [tex]\frac{28-52}{2}[/tex]

=> [tex]\frac{-24}{2}[/tex]

=> -12

4) [tex]\frac{28}{4} - \sqrt[3]{8} * 2^3[/tex]

=> 7 - 2 * 8

=> 7 - 16

=> -9

5) [tex]7^2-5*8+1[/tex]

=> 49 - 40 + 1

=> 9 + 1

=> 10

6) [tex](2 * \sqrt{16} ) - (\sqrt[3]{27} * \sqrt{81} ) + 7[/tex]

∴  [tex]\sqrt{16} = 4, \sqrt[3]{27} = 3 , \sqrt{81} = 9[/tex]

=> (2 * 4) - (3 * 9) + 7

=> 8 - 27 + 7

=> -19 + 7

=> -12

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

Apply order of operations to solve each expression.

[tex]\frac{41-9}{6 \times 3-26}[/tex]

[tex]\frac{41-9}{18-26}[/tex]

[tex]\frac{32}{-8}=-4[/tex]

[tex]12+2\times 7[/tex]

[tex]12+14=26[/tex]

[tex]\frac{28-(49+3)}{-13+15}[/tex]

[tex]\frac{28-52}{2}[/tex]

[tex]\frac{-24}{2} =-12[/tex]

[tex]7-2 \times 8[/tex]

[tex]7-16=-9[/tex]

[tex]49-40+1[/tex]

[tex]=10[/tex]

[tex](2 \times 4)-(3 \times 9) +7[/tex]

[tex]8-27+7[/tex]

[tex]=-12[/tex]

Answer:

x=25

Step-by-step explanation:

To find x (hypotenuse), it is a^2+b^2=c^2

24^2+7^2=625

[tex]\sqrt{625}[/tex]=25

x=25

Hope this helps!!

The correct theorems which verifies that, WVU = RST is,

⇒ HL

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

To find correct theorems which verifies that, WVU = RST

Now, We know that;

The Hypotenuse-Leg Theorem is the only viable way to determine congruency between 2 right triangles.

Here, By both triangles;

⇒ ∠VUW = 90°

⇒ ∠STR = 90°

Thus, The correct theorems which verifies that, WVU = RST is,

⇒ HL

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Answer:

62.5°

Hope this helps :)

Answer:

Neither

Step-by-step explanation:

This is a linear function as opposed to an exponential function as there are no x terms in higher powers.

Answer:

I graphed the function and its exponential growth

Step-by-step explanation:

Answer:

According to the graph, f(−3)=3 and f(9)=-7

-7-3/9-(-3)= −10/12

Therefore the answer is -5/6

From Khan

The average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

        [tex]b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

        where : [m] → is slope of line and [c] → is the y - intercept

We have the following function -

f(x) = x³ - 9

The average rate of change would be -

r = {720 - (- 36)}/{9 - (- 3)}

r = 756/12

r = 63

Therefore, the average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

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[ Complete question -

what is the average rate of change of f(x) = x³ - 9 over the interval [-3,9] ]

Answer:

Any negative number and 0 works for the expression.

Step-by-step explanation:

Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.

Let's try a random positive number in the expression

[tex]|6| = -(6)\\6 \neq -6[/tex]

So this positive number doesn't work, let's just test with another one.

[tex]|9| = -(9)\\9 \neq -9[/tex]

So we know that positive numbers won't work with this expression.

Let's test 0 quickly, just to make sure.

[tex]|0| = -0\\0 = 0[/tex]

So 0 works.

Let's try a few negative numbers now.

[tex]|-5| = -(-5)\\5 = 5[/tex]

So yes, this does work. Let's try one more negative number.

[tex]|-120| = -(-120)\\120 = 120[/tex]

This works. So, every negative number and 0 work with this equation.

Hope this helped!

Answer:

|a|=−a is true only if a is negative or zero

Step-by-step explanation:

Recall that absolute values are always 0 or positive.  

|a|=−a is true only if a is negative or zero.

Answer: The answer is the picture shown below

Step-by-step explanation:

To do this you will need to make a coordinate plane about 20 up and 20 down. So there is a formula that is y=mx+b which is called the slope intercept form and as you can see the problem given to you was already given in this formula. The variable m in the equation is the slope and slope is also known as rise (which basically means go up if positive and down if negative) over run (which is right if positive and left if negative) and as you can see in the equation the number 4/5 is the variable m. Since slope is rise over run 4 would be the rise and 5 would be the run, so you would go up 4 and right 5 because they are both positive. Now there is another variable that is b which would be the -1. In slope intercept formula b is the y intercept so -1 is where the line would cross the y axis. Now that you know all the parts to the slope you can put it together giving you the answer.

Answer:

Step-by-step explanation:

[tex]y=\dfrac{4}{5}x-1[/tex]

This is an equation for a line in the slope-intercept form.

For the straight line we only need two points on the coordinate plane.

Choose two x values. Place them in the equation and calculate the y values.

For x = 0:

[tex]y=\dfrac{4}{5}(0)-1=0-1=-1\to(0,\ -1)[/tex]

For x = 5:

[tex]y=\dfrac{4}{5}(5)-1=4-1=3\to(5;\ 3)[/tex]

Mark points on the coordinate plane and draw a line through these points.

Answer:

[tex]12(3 + 4 + 5 + ...... + 12 + 13) = 1056[/tex]

Step-by-step explanation:

Given:

The attached

Required

Find the value of the expression

The interpretation of is to add the sequence: 12n

where n = from 3 to 13

Solving the for each term of the sequence

[tex]When\ n = 3, 12n = 12(3)[/tex]

[tex]When\ n = 4, 12n = 12(4)[/tex]

[tex]When\ n = 5, 12n = 12(5)[/tex]

....................

...........

...

.

[tex]When\ n = 12, 12n = 12(12)[/tex]

[tex]When\ n = 13, 12n = 12(13)[/tex]

The sum is then calculated as follows;

[tex]Sum = 12(3) + 12(4) + 12(4) + ...... + 12(12) + 12(13)[/tex]

12 is a common factor;

Hence;

[tex]Sum = 12(3 + 4 + 5 + ...... + 12 + 13)[/tex]

Replace ....... with actual numbers

[tex]Sum = 12(3 + 4 + 5 +6 + 7 + 8 + 9 + 10 + 11 + 12 + 13)[/tex]

[tex]Sum = 12(88)[/tex]

[tex]Sum = 1056[/tex]

Hence;

[tex]12(3 + 4 + 5 + ...... + 12 + 13) = 1056[/tex]

From the list of given options;

Option B is correct

[tex]12(3 + 4 + 5 + ...... + 12 + 13) = 1056[/tex]

Answer:

220=48+h or 220=48h

Step-by-step explanation:

the word more can refer to a greater degree or extent.  possibly referring

to addition or multiplication.

Answer:

220=48+h

Step-by-step explanation:

We know that 220 is the sum of 48 and h so you just represent it in an equation/equality statement.

Answer:

4[1/2(5 x 6)] + 6x6

Step-by-step explanation:

The first part of the expression is 4[1/2(5 x 6)]. This is the formula to find the surface area of the triangles. A regular triangle's area is 1/2(l*w). Since there are four trinagles, you have to multiply the whole expression by 4.

The second part of the equation is finding the surface area of the base which is a square. Since squares have four equal sides, its safe to say that you can use 6 * 6.

Hope that helped!

Answer:

[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]

Step-by-step explanation:

According to the definition of absolute value:

[tex]f(x)[/tex] if [tex]f(x) \geq 0[/tex]

[tex]-f(x)[/tex] if [tex]f(x) <0[/tex]

If [tex]m < 8[/tex], then:

[tex]y_{max} = 7\cdot (8) - 56[/tex]

[tex]y_{max} = 0[/tex]

[tex]y[/tex] becomes negative as [tex]m[/tex] diverges to [tex]-\infty[/tex].

Then, the absolute value can be rewritten as follows:

[tex]|7\cdot m - 56| = -(7\cdot m -56)[/tex] if [tex]m <8[/tex]

[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]

Answer: D

Step-by-step explanation:

In every other solution, x gets canceled out, so it has no impact on the equation.  Thus, A, B, and C all have either infinite or no solution, because they have 6x on both sides of the equation.

Further proof:

6x-6=15x+15

Add(6)

6x=15x+21

Subtract(15x)

-9x=21

Divide(-9)

x = -2 3/9

Hope it helps <3

Answer:

d) 6x - 6 = 15x + 15

Step-by-step explanation:

Well let’s solve.

a)

6x - 15 = 6x + 15

Lets use the communicative property which is the moving of numbers.

We can start with -15, so we do +15,

6x = 6x + 30

Then we can do -6x

0 = 30

This is a false statement meaning there is no solution.

b)

6x - 6 = 6x + 15

We can start by doing +6

6x = 6x + 21

-6x

0 = 21

Again, this is a false statement meaning this has no solutions.

c)

6x + 15 = 6x + 15

So we do -15

6x = 6x

If this is the case then there is infinitely many solutions.

d)

6x - 6 = 15x + 15

So we can start by doing +5p6

6x = 15x + 21

Then we can do -15x

-9x = 21

then we can do 21 / -9 which is -2 1/3.

x = -2 1/3

So this has one solution.

Answer:

Jordan weighs 120 pounds, Sam weighs 60 pounds

Step-by-step explanation:

We can create an equation 2s=J. Our second equation is S+J=180. We can substitute J for 2s and our new equation will be 3s=180. We can divide 3 from both sides and we get s= 60. And we know that Jordan weighs two times as sam, then Jordan weighs 120 pounds.

Answer: Jordan=120. Sam=60

Step-by-step explanation: Together they weigh 180 pounds Jordan weighs twice as much as sam. We can write their values as Sam=x and Jordan=2x then we can make a equation

2x+x=180

3x=180

x=60

Then we can substitute x in Jordan and sams values to get our final answe;

Jordan=120. Sam=60

Answer:

50 mph

Step-by-step explanation:

225 in 4.5 Hours

1 Hour - 50 miles

(225 ÷ 4.5 = 50)

Hope this helps.

Answer:

50mph

Step-by-step explanation:

To figure this out you would just have to divide the number of miles which is 255 by the number of hours which is 4.5 and you would get 50mph.

Answer:

A and C

Step-by-step explanation:

The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The quadratic function f(q) = q² - 125 can be factored as (q - 5)(q + 5).

Now,

To find the roots, we set the function equal to zero and solve for q:

So,

q² - 125 = 0

(q - 5)(q + 5) = 0

q - 5 = 0 or q + 5 = 0

q = 5 or q = -5

Therefore,

The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.

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Answer:

[tex]y = -2x[/tex]

Step-by-step explanation:

Given

x || 0 || 1 || -2

y || 0 ||  -2 || 4

Required

Determine the function rule

First, we have to determine the slope of the function using;

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Where x and y represent any two corresponding values of x and y

When x = 0; y = 0  [tex](x_1,y_1)[/tex]

When x = 1; y = -2  [tex](x_2,y_2)[/tex]

Substitute these values in [tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

[tex]m = \frac{0 - (-2)}{0 - 1}[/tex]

[tex]m = \frac{0 +2}{0 - 1}[/tex]

[tex]m = \frac{2}{- 1}[/tex]

[tex]m = -2[/tex]

Next, is to determine the function rule; using slope intercept form as follows;

[tex]y - y_1 = m(x - x_1)[/tex]

Take any corresponding values of x and y as x1 and x2

When x = -2; y = 4

[tex]y - y_1 = m(x - x_1)[/tex] becomes

[tex]y - 4 = -2(x - (-2))[/tex]

[tex]y - 4 = -2(x + 2)[/tex]

Open the bracket

[tex]y - 4 = -2x -4[/tex]

Add 4 to both sides

[tex]y - 4 + 4 = -2x - 4 + 4[/tex]

[tex]y = -2x[/tex]

Hence, the function rule is [tex]y = -2x[/tex]

Answer:

y = -2 x - 1

Step-by-step explanation:

Answer:

-243

Step-by-step explanation:

To solve this problem you will need to know the difference between an arithmetic and a geometric.

    An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

    A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

    We can see in the sequence that the number that is being multiplied over and over again is -3 so the answer is a geometric sequence.

    Now that we know that it is a geometric sequence we will multiply the last number which is 81 by -3 which will get us -243

Answer:

To solve this problem you will need to know the difference between an arithmetic and a geometric.

   An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

   A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

   We can see in the sequence that the number that is being multiplied over and over again is -3 so the answer is a geometric sequence.

   Now that we know that it is a geometric sequence we will multiply the last number which is 81 by -3 which will get us -243

Step-by-step explanation:

Answer:

y = 3x

Step-by-step explanation:

Assume a slope of 3

The y intercept is 0

The slope intercept form of the equation is

y= mx+b where m is the slope and b is the y intercept

y =3x+0

y = 3x

Answer:

8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, 10, 13, 3, 12, 2

Step-by-step explanation:

The answer is actually very simple: the numbers are placed in alphabetical order.

E ight

E ighteen

E leven

F ifteen

F our

F ourteen

N ineteen

O ne

S even

S eventeen

S ix

S ixteen

T en

T hirteen

T hree

T welve

T wo

Answer:

c. (x-3) is not a factor.

Step-by-step explanation: