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3 years ago

Write the equation of the quadratic function in standard form represented by the graph.

Mathematics

1 answer:

algol133 years ago

6 0

Answer:

y = x^2 +6x+8

Step-by-step explanation:

First find the zeros, -4 ,-2

y =a (x - -4) (x - -2)

y = a(x+4)(x+2)

Then it is multiplied by a constant so pick a point on the curve and solve for the constant

We will use (0,8)

8 = a(0+4)(0+2)

8 = a(8)

a =1

y = (x+4)(x+2)

Writing in standard form

FOIL

y = x^2 +2x+4x+8

y = x^2 +6x+8

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Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14

Hitman42 [59]

Answer:

The angle of elevation of the sun from the ground to the top of a tree is $36^{\circ}$ .

Step-by-step explanation:

As given

The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.

Now by using the trignometric identity .

$tan\theta =\frac{Perpendicular}{Base}$

As figure is given below .

AB = Perpendicular = 10 yards

BC = Base = 14 yards

Putting all the values in the trignometric identity .

$tan\theta =\frac{AB}{BC}$

$tan\theta =\frac{10}{14}$

$\theta =tan^{-1}(\frac{10}{14})$

$\theta =36^{\circ}$

Therefore the angle of elevation of the sun from the ground to the top of a tree is $36^{\circ}$ .

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3 years ago

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8x over 3 - x over 2 equals -13

Leya [2.2K]

Equation:
x/3 = x/8 + 2/3
---
Multiply thru by 24 to get:
8x = 3x + 16
5x = 16
x = 3 1/5
========

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3 years ago

1. Which point is located at (-2,-6)

andriy [413]

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Convert 26inches into meters

SOVA2 [1]

Answer:

0.6604 m

Step-by-step explanation:

The convertion from inches to meters is 1 inch= 0.024 meters, so:

26 inches = 26 inch* 0.024 meters/inch = 0.6604 meters

Good luck!

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3 years ago

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meriva

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3 years ago

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