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Lelu [443]
3 years ago
11

3. Write the equation of a line that is perpendicular to the given line and that passes through the given point.

Mathematics
1 answer:
prohojiy [21]3 years ago
3 0
To find the perpendicular line a y- 2 = 7/3 (x + 5) you must first observe that the slope is m = 7/3, therefore, the slope of the perpendicular line put of the reciprocal, that is, m = - 3/7. So the possible options are A or C, but since the point (-4, 9) must go through the line, we find that the equation that satisfies that is option C.Therefore the perpendicular line that passes through the point (-4, 9) is C. y - 9 = -3/7 (x + 4)
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In the accompanying diagram, AEFB, AD II EC , DF || CB, mDAE = 34 and m DFE = 57. Find
scoray [572]

Answer:

1.  Solve small triangle

2. 180-90-57=33

3.solve medium triangle

4. E=33

5.C=90

6.180-90-33=57

7.B=57

8. solve big triangle

9.A=34

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8 0
3 years ago
You are given the function f(x)=1/x^2+10. f(x) is concave up whenever: A. x^2−10 is negative. B. 3x^2−10 is positive. C. 3x^2+10
lukranit [14]

Answer:

f(x) is concave up whenever:

B. 3x²−10 is positive

f(x) is concave down whenever:

A. 3x²−10 is negative

The points of inflection of f(x) are the same as:

B. the zeros of 3x²−10

Step-by-step explanation:

Given the function f(x) = 1 / (x²+10)

We can determine the concavity by finding the second derivative.

If

f"(x) > 0  ⇒  f(x) is concave up

If

f"(x) < 0  ⇒  f(x) is concave down

Then

f'(x) = (1 / (x²+10))' = -2x / (x²+10)²

⇒  f"(x) = -2*(10-3x²) / (x²+10)³

if   f"(x) = 0   ⇒  -2*(10-3x²) = 0    ⇒  3x²-10 = 0

f(x) is concave up whenever 3x²−10 > 0

f(x) is concave down whenever 3x²−10 < 0

The points of inflection of f(x) are the same as the zeros of 3x²-10

it means that 3x²-10 = 0

7 0
2 years ago
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weeeeeb [17]
225 is the final answer, hope that this helps you. 
=)
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<h2>Answer:</h2><h2>2</h2>

<h2>Solution: </h2>

\sqrt{25}  = 5 \\  \sqrt{16 }  = 4  \\  \sqrt{49}  = 7

5+4-7 = 9-7 = 2

Our Answer 2

<h2> </h2>

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