10 POINTS<br><br> Seventeen is 20% of what number?<br><br> Enter your answer in the box.

Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)

pshichka [43]

Option D (The student should have used as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5) and is perpendicular to y = 4x + 2

The slope of the required line would me -1/m because both lines are perpendicular.

So, slope of new line will be: -1/4

because the equation of slope-intercept form is: $y=mx+b$ where m is the slope

Now, for finding equation the student used point slope form i.e $y-y_1=m(x-x_1)$

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

$y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3$

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step $y-5 = 2(x-(-8))$

So, Option D (The student should have used as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope

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3 0

3 years ago

Read 2 more answers

Hello Brainly Teacher Brainly Moderators and trusted helpers!

tatyana61 [14]

Answer:

P(x < 84) = 0.3085 or approximately 31%

============

<em>Hello to you from Brainly team!</em>

<h3>Given</h3>

Mean grade μ = 86,
Standard deviation σ = 4,
Grade limit x = 84.

Probability of that a randomly selected grade is less than 84 or P(x < 84).

<h3>Solution</h3>

Find z-score using relevant equation:

z = (x - μ)/σ

Substitute values and calculate:

z = (84 - 86)/4 = - 0.5

Using the z-score table find the corresponding P- value.

P(x < 84) = 0.30854 or approximately 31%

4 0

1 year ago

−4.2(−2.8+4.5) I think I know what the answer is but I just want to be 100% sure. Please solve this and tell me your answer. I

Talja [164]

Answer:

-7.14

Step-by-step explanation:

Evaluate

−4.2(−2.8 + 4.5)

Open parenthesis

(-4.2 * -2.8) + (-4.2 * 4.5)

= (11.76) + (- 18.9)

= 11.76 - 18.9

= -7.14

NOTE:

Negative (-) × negative (-) = positive (+)

Positive (+) × positive (+) = positive (+)

Negative (-) × positive (+) = negative (-)

Positive (+) × negative (-) = negative (-)

7 0

3 years ago

Use the figure below to complete the following problem Given : R,S,T are midpoints of AC, AB, and CB.

Nikolay [14]

Answer:

answer=RT

Step-by-step explanation:

because

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to 3x + 5 y + y - 2y

LuckyWell [14K]

Answer:

Step-by-step explanation:

3x+5y+y-2y = 3x +y(5+1-2)

= 3x +4y

6 0

3 years ago

10 POINTS Seventeen is 20% of what number? Enter your answer in the box.