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2 years ago

If 4x^2-100=0 the roots of the equation are

1 answer:

8 0

Your equation:       4x² - 100   = 0

Factor the left side: (2x + 10) · (2x - 10) = 0

This equation is true if either factor is zero.

-- One factor:    2x + 10 = 0

Divide each side by 2: x + 5 = 0
Subtract 5 from each side: x = -5 .

-- The other factor:       2x - 10 = 0

Divide each side by 2: x + 5 = 0
Add 5 to each side: x =  5 .

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Which is an equation in point slope form of the line that passes through the points (7, 5) and (-4, -1)

emmasim [6.3K]

Answer:

y = (6/11)x + 13/11

Step-by-step explanation:

y = mx + c

m = (-1-5)/(-4-7) = -6/-11 = 6/11

y = (6/11)x + c

When x = 7, y = 5

5 = (6/11)(7) + c

5 = 42/11 + c

c = 5 - 42/11

c = 13/11

y = (6/11)x + 13/11

11y = 6x + 13

5 0

2 years ago

Let AB = 24, AC = 10 and BC = 26.

nata0808 [166]

Answer:

a) 24

b) 10

c) 12/13

d) 5/13

e) 12/5

Step-by-step explanation:

a) We can see that the leg opposite <C is AB, and we are given AB = 24

b) We can see the leg adjacent to <C is AC, and we are given that AC = 10

c) The trig function sine is equal to

$\frac{opposite}{hypotenuse}$

The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:

$sin(c) = \frac{24}{26} = \frac{12}{13}$

d)The trig function cosine is equal to

$\frac{adjacent}{hypotenuse}$

The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:

$cos(c) = \frac{10}{26} = \frac{5}{13}$

d)The trig function tangent is equal to

$\frac{opposite}{adjacent}$

The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:

$tan(c) = \frac{24}{10} = \frac{12}{5}$

4 0

2 years ago

Could u all check this if am correct before i turn it in.

just olya [345]

All the answers are correct.

8 0

2 years ago

Read 2 more answers

Alice works at a health care facility. She has measured the hemoglobin levels of 200 people. The data follows a normal distribut

amid [387]

This is a normal distribution with a Mean: 14 g/dL and a Standard deviation: 1 g/dL.
A ) Hemoglobin levels less than 13:
13 = 14 - 1 = Mean - 1 SD
0.16 x 200 = 32
Answer: 32 people.
B ) Hemoglobin levels greater than 14 :
0.50 x 200 = 100
Answer: 100 people.

7 0

3 years ago

Marco would like to hang a banner over his shoe store. He has two ladders and would like to know how high above the ground each

GuDViN [60]

13 divided by 11.3 is 1.150442477876106. So 15 by 1.150442477876106 and you get 13.03846162772485. Just round it to the nearest tenth and you get 13.0.

5 0

2 years ago