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3 years ago

Who can help me figure this one out!?

Mathematics

1 answer:

STatiana [176]3 years ago

4 0

First find the inverse function:
y = -x^2 + 2
y - 2 = -x^2
2 - y = x^2
x = (2 - y)^0.5
Therefore inverse: y = (2 - x)^0.5 [x < 2]
Then simply sub in four random values for x to give your answer (hint, for your x values, use 1, - 2, - 7 and - 14. These should yield nice integer values for y)

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In Exercises 15 and 16, tell whether the triangle with the given side

Nata [24]

15. 10 cm, 10 cm, V200 cm : Right Angled Triangle

16. 9 in., 16 in., 25 in. : Not a right angled triangle

Step-by-step explanation:

In order to check whether the given sides form a right angled triangle, we check if the sum of squares of two shorter sides is equal to the square of third longest side.

15. 10 cm, 10 cm, V200 cm

$The\ shorter\ sides\ are\ 10cm\ and\ 10cm\\Let \\a=10\\b=10\\c=\sqrt{200}So,\\c^2=a^2+b^2\\(\sqrt{200})^2=(10)^2+(10)^2\\200 = 100+100\\200 = 200$

The triangle is a right angled triangle.

16. 9 in., 16 in., 25 in.

Here

a = 9 in

b=16 in

c=25 in

So,

$c^2=a^2+b^2\\(25)^2=(9)^2+(16)^2\\625=81+256\\625=337$

The given triangle is not a right angled triangle.

Keywords: Triangle, Right angled Triangle

Learn more about triangle at:

#LearnwithBrainly

3 0

3 years ago

Mateus recorded the number of miles driven and the amount

IrinaK [193]

The maximum amount of miles that can be driven is A) 220 miles.

8 0

3 years ago

A rectangle has an area of 6x ^ 2 + 7x - 3 square units. Which of the following could represent the perimeter of the rectangle i

Marina CMI [18]

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8 0

3 years ago

Determine the area of the triangle.

wlad13 [49]

Answer:

no triangle given try to use a = 1/2(b x h) for the area

Step-by-step explanation:

3 0

2 years ago

Which function in vertex form is equivalent to f(x) = x^2 + 6x + 3?

OlgaM077 [116]

$f(x)=x^2+6x+3$

Complete the square:

$x^2+6x+a^2\implies a=\dfrac{6x}{2x}=3\implies x^2+6x+3^3$

And we have:

$f(x)=x^2+6x+3\\\\f(x)=x^2+6x+3^2-3^2+3\\\\f(x)=(x+3)^2-9+3\\\\\boxed{f(x)=(x+3)^2-6}$

Answer B.

3 0

3 years ago