Complete the square to solve the equation below. Check all that apply. x² - 10x - 5=9
2 answers:
Answer:
A and D
Step-by-step explanation:
Given
x² - 10x - 5 = 9 ( add 5 to both sides )
x² - 10x = 14
To compete the square
add (half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = 14 + 25
(x - 5)² = 39 ← take the square root of both sides
x - 5 = ± ( add 5 to both sides )
x = 5 ±
Hence
x = 5 - → A
x = 5 + → D
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Answer:
the equation representing total amount of blood donated is .
Step-by-step explanation:
Total number of volunteers = 32
number of volunteers couldn't donate blood = .
So Number of volunteers who donated blood can be calculated by subtracting number of volunteers couldn't donate blood from Total number of volunteers.
Framing in equation form we get;
So, the number of remaining volunteers who donated blood = .
Each of these volunteers donated blood = 470 ml
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Framing in the equation form we get;
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Jackson's method to figure out the height of the mountain is from the
similar triangles formed by the light using the mirror.
Response:
- The height of the mountain is <u>50 feet 8 inches</u>
The given parameters are;
Distance of the mirror from Jackson = 5 feet
Distance of the mirror from the base of the mountain = 40 feet
Height of Jackson = 6'4'' tall
Required:
The approximate height of the mountain, <em>h</em>
Solution:
The triangles formed by the light from the top of the mountain which is
reflected to Jackson from the mirror, Jackson's height, the height of the
mountain, and their distances from the mirror, are similar triangles.
The ratio of corresponding sides of similar triangles are equal, therefore,
we have;
Which gives;
- The height of the mountain is approximately <u>50 feet 8 inches</u>
Learn more about similar triangles here:
