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finlep [7]
3 years ago
12

Given h(x) = x^2-4/2, find h(-8)

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

62

Step-by-step explanation:

(-8)^2-2

64-2 = 62

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If
arlik [135]

Given:

In a right angle triangle θ is an acute angle and \tan\theta =\dfrac{3}{5}.

To find:

The value of \cos \theta.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

We have,

\tan\theta =\dfrac{3}{5}

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

Hypotenuse=\sqrt{Perpendicular^2+base^2}

Hypotenuse=\sqrt{(3x)^2+(5x)^2}

Hypotenuse=\sqrt{9x^2+25x^2}

Hypotenuse=\sqrt{34x^2}

Hypotenuse=x\sqrt{34}

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

\cos \theta=\dfrac{5x}{x\sqrt{34}}

\cos \theta=\dfrac{5}{\sqrt{34}}

Therefore, the value of \cos \theta is \dfrac{5}{\sqrt{34}}.

8 0
2 years ago
Y X 2/3= 1 Solve for y
makkiz [27]
Y= 3/2x would be the answer.
6 0
3 years ago
Read 2 more answers
The formula for the slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is m=?
Ad libitum [116K]
The formula to find the slope of a line is \frac{y_{2} - y_{1}}{x_{2}-x_{1}}.

I'm not sure if my fraction looks right, so I'll add it in a separate attachment too.

3 0
3 years ago
Can anyone help me understand this
bagirrra123 [75]

Answer:

(x, y) = (2, 9)

Step-by-step explanation:

For the triangles to be congruent, the hypotenuses must be the same length:

y = x + 7

and the marked leg must be the same length in each triangle:

y -3 = 4x -2

These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:

(x +7) -3 = 4x -2

x +4 = 4x -2 . . . . . . collect terms

x +6 = 4x . . . . . . . . .add 2

6 = 3x . . . . . . . . . . . subtract x

2 = x . . . . . . . . . . . . divide by 3

y = 2 + 7 = 9 . . . . . .substitute for x in the first equation

The values you're looking for are x = 2, y = 9.

5 0
3 years ago
Convert 450 MPa to psi. Note: 1 MPa = 145 psi.
Nastasia [14]

Answer:

65250 psi

450*145=65250

3 0
3 years ago
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