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DochEvi [55]
2 years ago
14

What value(s) of x will make x2 = 25 true? A. 5 and -5 B. 5 C. 5 D. 12.5 and -12.5

Mathematics
1 answer:
Dima020 [189]2 years ago
3 0

x^2 = 25

x = -5, 5

Check your work!

(-5)^2 = 25

(5)^2 = 25

Hope this helps! :)

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If b – 4 = -12, what is the value of b?
suter [353]

Answer

b=-8

Step-by-step explanation:

b-4=-12

+4    +4

b=-8 =)

3 0
2 years ago
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What is a difference of squares that has a factor of x + 8
natulia [17]
A²-b²=(a-b)(a+b)

so if (x+8) is a factor then (x-8) is also a factor

so
(x+8)(x-8)=x²-8²=x²-64

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3 0
3 years ago
Which is the distance between the point with the coordinates (-2,3) and the line with the equation 6x-y=-3
harina [27]

Answer:

1.97 units

Step-by-step explanation:

The distance from a point (h,k) to a line ax+by+c=0 is given by:

d=\frac{|ah+bk+c|}{\sqrt{a^2+b^2} }

The given line is 6x-y=-3. or 6x-y+3=0.

This implies that: a=6, b=-1 and c=3

The given point is (-2,3)

This implies that: h=-2 and k=3

We substitute into the formula to get:

d=\frac{|6(-2)+-1(3)+3|}{\sqrt{6^2+(-1)^2} }

d=\frac{|-12-3+3|}{\sqrt{36+1} }

d=\frac{12}{\sqrt{37} }

d=1.97

8 0
3 years ago
Which ordered pairs cause this relation NOT to be a function? Why? {(0, 0.5), (0.5, 1), (3, 1), (1, 6), (3, 2)} A) (0.5, 1) and
Mumz [18]

Answer:

C) (3, 1) and (3, 2); The same x-value has different y-values.

Step-by-step explanation:

The given ordered pairs are:

{(0, 0.5), (0.5, 1), (3, 1), (1, 6), (3, 2)} A) (0.5, 1) and (0, 0.5)}

This relation is not a function because there is an x-value having two different y-values.

This occurred in (3,1) and (3,2).

This will cause a vertical line to intersect the graph of this relation at more than one point. Hence it fails the vertical line test.

The correct answer is C

4 0
3 years ago
Suppose that we were going to conduct a study to determine if there is an increased risk of getting lung cancer based on whether
oee [108]

Answer:

Sample relative risk is 4.

Step-by-step explanation:

We are given the following in the question:

Group 1 of smokers: 10 out of 100 get lung cancer.

\text{P(Lung cancer for smoker)} = \dfrac{10}{100} = \dfrac{1}{10}

Group 2 of non-smokers: 5 out of 200 get lung cancer

\text{P(Lung cancer for non-smoker)} = \dfrac{5}{200} = \dfrac{1}{40}

Sample relative risk:

  • It is the ratio of probability of an outcome in an exposed group to the probability of an outcome in an unexposed group.

Sample relative risk =

\dfrac{\text{P(lung cancer for smokers)}}{\text{P(lung cancer for non smokers)}}\\\\=\dfrac{\frac{1}{10}}{\frac{1}{40}} = \dfrac{40}{10} = 4

Thus, sample relative risk is 4.

4 0
2 years ago
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