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Montano1993 [528]
3 years ago
5

Plzz helppp its due in 10 mins

Mathematics
1 answer:
marishachu [46]3 years ago
8 0
The main reason why you don’t think that I was wrong because you didn’t want me a because you didn’t want me a because I’m not gonna be able to
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Write an equation in intercept form of the parabola that passes through the point (3,40) and has x-intercepts −5 and 4.
Maru [420]
The equation of this parabola will have the form f(x) = a(x+5)(x-4), which works out to f(x) = a(x^2 + x - 20).  Since the parabola passes thru (3,40),

40 = a(3^2 + 3 - 20), or 40 = a(-8), so a = -5.

Thus, the equation of this parabola is     y = -5(x^2 + x - 20).
5 0
3 years ago
What is the ratio of the perimeter of ΔHKO to the perimeter of ΔFGO
Lera25 [3.4K]

Answer:

Part 1) The ratio of the perimeter of ΔHKO to the perimeter of ΔFGO is \frac{1}{2}

Part 2) The ratio of the area of ΔKHO to the area of ΔGFO is \frac{1}{4}

Step-by-step explanation:

Part 1)

we know that

If two figures are similar , then the ratio of its perimeters is equal to the scale factor

In this problem

Triangles HKO and FGO are similar by AAA Theorem

Find the scale factor

The scale factor is equal to the ratio of its corresponding sides

\frac{4}{8}=\frac{7}{14}=\frac{1}{2}

Part 2) Find the ratio of the area of ΔKHO to the area of ΔGFO

Area of ΔKHO

A=4*7/2=14\ units^{2}

Area of ΔGFO

A=8*14/2=56\ units^{2}

The ratio of its areas is equal to

\frac{14}{56}=\frac{1}{4}

Alternative Method

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem we have that

The scale factor is \frac{1}{2}

so

squared the scale factor

(\frac{1}{2})^{2}=\frac{1}{4} ----> is correct

7 0
3 years ago
There are 36 female performers in a dance recital. The ratio of men to women is 5:6. How many men are in the dance recital?
Vanyuwa [196]
There are 30 men. the way to check this is my dividing 36/6 and you get 6.
6 0
3 years ago
Six copies of a book cost $90. How much does<br> each copy of the book cost?
IRINA_888 [86]
Each book costs $15. 90 divided by 6 is 15 which is also 90 over 6.
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3 years ago
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A cliff diver leaps from a 100-foot cliff into the Pacific. The diver’s height above the water is modeled by the function P(x) =
konstantin123 [22]

Answer:

2.1 < x <2.5

Step-by-step explanation:

i’m taking the test rn i’m not sure if it’s correct i’ll lyk!

7 0
4 years ago
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