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Salsk061 [2.6K]

3 years ago

11

What is an equation of the line that contains the point (3 -1) and is perpendicular to the line whose equation is y=-3x+2?

1 answer:

Svetach [21]3 years ago

3 0

The slope of a perpendicular line is the opposite reciprocal of the original slope. So the slope is 1/3.
Answer: y = x/3 - 2

Work in attached picture.

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Can some one help me. Solve this equation.

Marina86 [1]

$\bold{Given : 2^2^x^-^2 - 2^x^-^1 = 2^x - 2}$

$\bold{\implies (2^2^x) (2^-^2) - (2^x)(2^-^1) = 2^x - 2}$

$\bold{\implies \frac{(2^2^x)}{(2^2)} - \frac{(2^x)}{(2^1)} = 2^x - 2}$

$\bold{\implies \frac{(2^2^x)}{4} - \frac{(2^x)}{2} = 2^x - 2}$

$\bold{\implies \frac{[2^2^x - (2^x)(2)]}{4} = 2^x - 2}$

$\bold{\implies [2^2^x - (2^x)(2)] = (4)(2^x) - 8}$

$\bold{\implies 2^2^x - (2^x)(2) - (4)(2^x) + 8 = 0}$

$\bold{\implies (2^x)^2 - (2^x)(6) + 8 = 0}$

$\bold{Let\;us\;take : (2^x) = Z}$

$\bold{\implies Z^2 - 6Z + 8 = 0}$

$\bold{\implies Z^2 - 4Z - 2Z + 8 = 0}$

$\bold{\implies Z(Z - 4) - 2(Z - 4) = 0}$

$\bold{\implies Z = 4\;\;(or)\;\;Z = 2}$

$\bold{But : Z = 2^x}$

$\bold{\implies 2^x = 4\;\; (or) \;\; 2^x = 2}$

$\bold{\implies 2^x = 2^2\;\; (or) \;\; 2^x = 2^1}$

$\bold{\implies x = 2\;\;(or)\;\; x = 1}$

8 0

3 years ago

Evaluate the expression (-x^3y^2)^2 for x =10 and y =-1 A.-1,000,000 B.-600,000 C.1,000,000 D.600,000

leva [86]

C. Would be your answer

6 0

3 years ago

Given that the measure of ∠x is 57°, and the measure of ∠y is 51°, find the measure of ∠z.

Alchen [17]

Area of a triange = 180 degrees
60 + 90 + 30= 180
180-30=150
Z=150 degrees

4 0

3 years ago

Solve The Math equation below

Angelina_Jolie [31]

The Answer Is D. x=72

3 0

3 years ago

The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls

kumpel [21]

Answer:

standard error = 1.63

Step-by-step explanation:

To calculate the standard error we need to know the standard deviation (σ) and the sample size (n) (see the attached formula).

To obtain the standard deviation we use the given sample variance of 77.4 years:

σ²= variance

Therefore:

σ = √77.4 = 8.8

Now we can calcuate the estimated standard error:

standard error = σ /√n = 8.8/√29 = 1.63

The standard error gives us an estimation about how far the mean of the sample is from the mean of the entire population, and in this case is 1.63.

7 0

3 years ago