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Sonja [21]
3 years ago
11

Evaluate x^2/y + x^2/z, if x=10, y=-5, and z=-2

Mathematics
2 answers:
jeyben [28]3 years ago
6 0
Hi Jasmine

x²/y + x²/z
if x = 10, y=-5 , z = -2
Evaluate x, y,z
10^2/-5 + 10^2/-2
10²/-5 + 10²/-2
- 70

I hope that's help !
wlad13 [49]3 years ago
3 0

Answer:

The answer is -70.

Step-by-step explanation:

In order to determine the answer, we have to know about "replacing variables". In any expression which contains variables, we can replace them by values to get different results.

So, in this case, we have the variables "x", "y" and "z", and also we have the values to replace every variable.

Replacing those values:

\frac{x^2}{y}+\frac{x^2}{z}\\ \\x=10\\y=-5\\z=-2\\\\\frac{(10)^2}{(-5)}+\frac{(10)^2}{(-2)}\\ \frac{100}{(-5)}+\frac{100}{(-2)}\\ -20-50\\-70

Finally, the value of the expression is -70.

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Which systems of equations intersect at point A in this graph?
abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

Step-by-step explanation:

Given the point

  • A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Arrange equation variable for elimination

\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}

so

y+3x=-5

-

\underline{y-4x=9}

7x=-14

so the system of equations becomes

\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}

Solve 7x = -14 for x

7x=-14

Divide both sides by 7

\frac{7x}{7}=\frac{-14}{7}

Simplify

x = -2

For y - 4x = 9 plug in x = 2

y-4\left(-2\right)=9

y+4\cdot \:2=9

y+8=9

Subtract 8 from both sides

y+8-8=9-8

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

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3 years ago
What is the factor of 16
insens350 [35]
1x16
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is the answer
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3 years ago
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11111nata11111 [884]

The question is incomplete. Here is the complete question.

As a part of city building refurbishment project,  architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: <u>Unit</u> <u>Scale</u> is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

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So, the dimensions of the new park in actual dimensions would be

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9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

6 0
3 years ago
How many numbers have absolute value 3?
kirill115 [55]

Answer:

how many numbers have absolute value 3? zero is your answer

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Step-by-step explanation:

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Find the missing length.<br> 10<br> 4<br> с<br> C=<br> ✓ [?]<br> Pythagorean Theorem: a2 + b2 = c2
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Answer:

a2 (10x10) + b2 (4x4) = c2 (100+16)

Answer: √116

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3 years ago
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