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3 years ago

10

Find the geometric mean of 20 and 25

1 answer:

IrinaK [193]3 years ago

5 0

Answer: √20⋅25=22.36

Step-by-step explanation:

Geometric mean of 20 and 25 is √20⋅25=22.36(2dp)

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(100 – 40)/2 - 30 =?

Lena [83]

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4 years ago

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Casey's grandmother sent her an $85 gift card for her birthday last year. This year, she sent her a $125 gift card. Which propor

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3 years ago

Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

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3 years ago

Jordan built a scale model of a space shuttle at a scale of 1 to 200. If the actual space shuttle is 54 meters long, how long

KATRIN_1 [288]

540 (100 centimeters = 1 meter, so 54 x 100 = 540.)

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2 years ago