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3 years ago

How do you solve 2z - 31 = -9z + 24?

2 answers:

6 0

2z−31=−9z+24

Add 9z to both sides.

2z−31+9z=−9z+24+9z

11z−31=24

Add 31 to both sides.

11z−31+31=24+31

11z=55

Divide both sides by 11.

11z/11=55/11

z=5

Oksana_A [137]3 years ago

3 0

2z - 31 = -9z + 24
+9z +9z
11z - 31 = 24
+31 +31
11z = 55
÷11 ÷11
z = 5

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Alenkinab [10]

The dimensions of the rectangle would be (6-2) x (7-0) = 4 x 7

That makes the area (4)(7) = 28.

That makes the perimeter (7+4)(2) = 22

That makes the diagonal sqrt((7^2)+(4^2)) = sqrt(49+16) = sqrt(65)

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3 years ago

What is the value of xy+2z when x=-2, Y=4, and z=-5

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Step-by-step explanation:

xy + 2z = (-2)*4 + 2*(-5)

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8 0

3 years ago

Read 2 more answers

\Grace is 1.65 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 25.35 meters. She stands 20.9 meters awa

Anika [276]

Grace's height and the tree's height are related by equivalent ratios

The height of the tree is 2.00 meters

Grace's height is given as:

$\mathbf{h = 1.65}$

When she measured the length of the tree's shadow, we have:

$\mathbf{l = 20.9m}$ --- the length of her shadow

$\mathbf{L = 25.35m}$ --- the length of the tree's shadow

The height (H) of the tree is calculated using the following equivalent ratio

$\mathbf{h:H = l:L}$

Substitute known values

$\mathbf{1.65:H = 20.9:25.35}$

Express as fractions

$\mathbf{\frac H{1.65} =\frac{25.35}{20.9}}$

Multiply both sides by 1.65

$\mathbf{H=\frac{25.35}{20.9} \times 1.65}$

Simplify

$\mathbf{H=2.00}$

Hence, the approximated height of the tree is 2.00 meters

Read more about equivalent ratios at:

brainly.com/question/13513438

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3 years ago

A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time

galben [10]

Answer:

The height at time of 12.1 seconds is approximately 729.2562 feet

Step-by-step explanation:

The general form of the quadratic regression equation is y = A + Bx + Cx²

The quadratic regression formula is given as follows;

$B = \dfrac{S_{xy}S_{x'x'}-S_{x'y}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}$

$C = \dfrac{S_{x'y}S_{xx}-S_{xy}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}$

$A = \bar y - B \bar x - C \bar {x^2}$

$S_{xx} = \Sigma (x_i - \bar x)^2$

$S_{xy} = \Sigma (x_i - \bar x)(y_i - \bar y)$

$S_{xx'} = \Sigma (x_i - \bar x)(x^2_i - \bar {x^2})$

$S_{x'x'} = \Sigma (x^2_i - \bar {x^2})^2$

$S_{x'y} = \Sigma (x^2_i - \bar {x^2})(y_i - \bar {y})$

Solving using an online quadratic regression calculator, gives;

A = 2.5643259

B = 246.6374865

C = -15.41986006

Substituting gives;

y = 2.5643259 + 246.6374865·x -15.41986006·x²

When time, x = 12.1, we have;

y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet

The height at time of 12.1 seconds ≈ 729.2562 feet.

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3 years ago

Given the diagram below solve for x

kifflom [539]

Answer:

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x=8.57

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