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4 years ago

6

Which best explains the relationship between lines a and b? They are skew and will never intersect. They are parallel and will n

ever intersect. They are perpendicular and will intersect. They will intersect at two points.

2 answers:

svlad2 [7]4 years ago

7 0

Answer:

a

Step-by-step explanation:

r-ruslan [8.4K]4 years ago

5 0

Answer:

They are skew and will never intersect.

Step-by-step explanation:

see attachment for the missing figure

Lines a and b are skew lines since they are not parallel and they do not intersect. The explanation that they don't intersect is on the grounds that each line is in a parallel plane. Parallel means heading off to the same direction but neither converging nor diverging.

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When Lorenzo finished his exam last week, he thought the test was over. But the instructor put z-scores on each student's paper

Anarel [89]

Answer:

Lorenzo's score on exam was 75.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 61

Standard Deviation, σ = 8

We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

z-score = 1.75

We have to find the value of x.

Putting values, we get

$1.75 = \dfrac{x - 61}{8}\\\\x = 1.75(8) + 61\\x = 75$

Thus, Lorenzo's score on exam was 75.

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3 years ago

Andrea has averaged the ages of 12 people in her class, and the mean is 16 years old. She removes one person from the data set a

fredd [130]

C.)27 I think that’s the answer

5 0

3 years ago

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What is Y=x^2+6x+4 in vertex form?

GenaCL600 [577]

Y = (x+3)^2 - 5 here's the answer hope it helps

6 0

4 years ago

Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation

Kryger [21]

Answer:

$y + x - 6 = 0$

Step-by-step explanation:

Given

$M(0,6) \ and \ N(6,0)$

Required

Find the equation of the line

First, the slope of the line has to be calculated using the following formula;

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$where\ (x_1,y_1) = (0,6) \ and \ (x_2,y_2) = (6,0)$

So, the equation becomes

$m = \frac{0 - 6}{6 - 0}$

$m = \frac{-6}{6}$

$m = -1$

The equation of the line can then be calculated using

$m = \frac{y - y_1}{x - x_1} \ or \ m = \frac{y - y_2}{x - x_2}$

$Using \ m = \frac{y - y_1}{x - x_1}$

$-1 = \frac{y - 6}{x -0}$

$-1 = \frac{y - 6}{x}$

Multiply both sides by x

$-1 * x = \frac{y - 6}{x} * x$

$-x = y - 6$

Add x to both sides

$x -x = y - 6 + x$

$0 = y - 6 + x$

Reorder

$y + x- 6 = 0$

$Using \ m = \frac{y - y_2}{x - x_2}$

$-1 = \frac{y - 0}{x - 6}$

$-1 = \frac{y}{x - 6}$

Multiply both sides by x - 6

$-1 * (x-6) = \frac{y}{x - 6} * (x-6)$

$-1 * (x-6) = y$

$-x+6 = y$

Add x - 6 to both sided

$x - 6 -x+6 = y +x - 6$

$0 = y + x - 6$

$y + x - 6 = 0$

Hence, the equation of the line is $y + x - 6 = 0$

3 0

3 years ago

Choose all equivalent expression(s).

ElenaW [278]

<u>Given</u>:

The given expression is $a b^{-3 x}$

We need to determine the equivalent expression.

<u>Equivalent expression:</u>

Let us determine the equivalent expression.

The equivalent expression can be determined by simplifying the given expression.

Hence, let us apply the exponent rule to simplify the given expression.

Thus, applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we get;

$a(\frac{1}{b^{3x}})$

Rewriting the expression, we get;

$a(\frac{1^{3x}}{b^{3x}})$

Simplifying, we get;

$a\left(\frac{1}{b}\right)^{3 x}$

Thus, the equivalent expression is $a\left(\frac{1}{b}\right)^{3 x}$

Hence, Option C is the correct answer.

7 0

3 years ago

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