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Kobotan [32]
2 years ago
5

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

Mathematics
1 answer:
Marrrta [24]2 years ago
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
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