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Novosadov [1.4K]
3 years ago
13

Find the value of z​

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

z = 12 \sqrt{5}

Step-by-step explanation:

By geometric mean property:

y =  \sqrt{24 \times 6}  \\  \\ y =  \sqrt{144}  \\  \\ y = 12

By Pythagoras Theorem:

z =  \sqrt{ {12}^{2}  +  {24}^{2} }  \\  \\ z =  \sqrt{144 + 576}  \\  \\ z =  \sqrt{720}  \\  \\ z = 12 \sqrt{5}

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Wittaler [7]
Hello!

2(x + 9) = 4(x + 7) + 2

Distribute the 2

2x + 18 = 4(x + 7) + 2

Distribute the 4

2x + 18 = 4x + 28 + 2

Combine like terms

2x + 18 = 4x + 30

Subtract 18 from both sides

2x = 4x + 12

Subtract 4x from both sides

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Divide both sides by -2

x = -6

Where she did something different than me is her mistake

Hope this helps!
6 0
3 years ago
State the slope-intercept form of the equation for the graph with the points 3,0 and 0,-1
Dvinal [7]

Answer:

The answer is y=1/3x-1

Step-by-step explanation:

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-1 -1

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6 0
3 years ago
What is the approximate area of the circle shown below 9.4 cm
aivan3 [116]

Answer:

Step-by-step explanation:

A= πr²

A= 22/7 multiply by the radius.

Divide 9.4cm by 2.

Whatever you get is your answer. Now take the formula I have shown you above. Whatever you get is your answer.

6 0
3 years ago
what is the equation of a line that passes through the point (6,1) and is perpendicular to the line whose equation is y=2x-6?
alexandr402 [8]

Answer:

y = -(1/2)x + 4

Step-by-step explanation:

Use the standard form on an equation:  y = mx + b

A line that is perpendicular has a slope that is the opposite reciprocal of the other line.  We also have a point (x, y) that is on the line, so our equation begins as..

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1 = -3 + b

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so our equation is

y = -(1/2)x + 4

3 0
3 years ago
Read 2 more answers
Help please !! It’s geometry
Olenka [21]

Answer:

36

Step-by-step explanation:

Since BD is similar to GI, the ratio of the sides of the triangles is 27:3=9:1. This means that BC is 9 times larger than BH, or 4*9=36 units long. Hope this helps!

8 0
3 years ago
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