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4 years ago

6

10 POINTS

1 answer:

Kipish [7]4 years ago

8 0

Draw the altitude from the vertex angle to the base of the triangle. Since the altitude is perpendicular to the base, 2 congruent right triangles are created. Then, use the cosine ratio to find the length of each congruent side.

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What is the y value of the vertex 4x^2+8x-8

Oksana_A [137]

Answer:

The y-value of the vertex is $-12$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

In this problem we have

$f(x)=4x^{2}+8x-8$ -----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+8=4x^{2}+8x$

Factor the leading coefficient

$f(x)+8=4(x^{2}+2x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+8+4=4(x^{2}+2x+1)$

$f(x)+12=4(x^{2}+2x+1)$

Rewrite as perfect squares

$f(x)+12=4(x+1)^{2}$

$f(x)=4(x+1)^{2}-12$

The vertex is the point $(-1,-12)$

The y-value of the vertex is $-12$

5 0

3 years ago

Read 2 more answers

Write y = 2x + 3 using function notation.

Setler79 [48]

F(x) = 2x + 3 i think

7 0

3 years ago

Read 2 more answers

Altitude in general the air temperature decreases 10 F for every 4,000 feet increase in altitude. If a hiker climbs 3,000 feet,

Lyrx [107]

The temperature will decrease by 7.5 F

4 0

3 years ago

How much is 1/4+ 1/6

torisob [31]

5/12! How it helps :)

6 0

3 years ago

german

Answer:

17 units

Step-by-step explanation:

Distance between points $(a,b)\,,\,(c,d)$ is given by $\sqrt{(c-a)^2+(d-b)^2}$

The trail starts at P(−2, 2) and goes to Q(5, 2).

Take $(a,b)=(-2,2)\,,\,(c,d)=(5,2)$

$PQ=\sqrt{(5+2)^2+(2-2)^2}=\sqrt{7^2}=7$ units

It goes from Q to R(5, −5)

Take $(a,b)=(5,2)\,,\,(c,d)=(5,-5)$

$QR=\sqrt{(5-5)^2+(-5-2)^2}=\sqrt{(-7)^2}=7$ units

It goes from R to S.

Take $(a,b)=(5,-5)\,,\,(c,d)=(8,-5)$

$RS=\sqrt{(8-5)^2+(-5+5)^2}=\sqrt{3^2}=3$ units

$PQ+QR+RS=7+7+3=17$ units

4 0

3 years ago