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AveGali [126]
3 years ago
10

Write an equation of a line that is perpendicular to the line y = 3/2x + 3 and goes through the point (-3, -8). Hint: Use the po

int-slope form. Then convert your answer into slope-intercept form.
Mathematics
1 answer:
JulijaS [17]3 years ago
8 0
Point-slope form looks like this: y - k = m(x - h) where m is the slope, k is the y-value and h is the x-value. For (-3, -8), -3 would replace h and -8 would replace k.

Slope-intercept form looks like this: y = mx + b where m is the slope and b is the y-value.

To solve the problem we must plug in the given coordinate and slope to the point-slope formula then change the point-slope form into slope-intercept form. But first we need to know what the slope is.

If a line is perpendicular to another line, their slopes are negative reciprocals of each other. So with the line y = 3/2x + 3, the slope for another line that is perpendicular has to be -2/3 because we switched the numerator and denominator and made it from positive to negative.

Now that we know the slope and the given coordinate, we can start solving.

Plug the givens into the point-slope formula y - k = m(x - h).
y - (-8) = -2/3(x - (-3))
y + 8 = (-2/3*x) - (-2/3*-3)
y + 8 = -2/3x + 2 Now we can convert the equation to slope-intercept form.
y + 8 - 8 = -2/3x + 2 - 8 Remember that what we do on one side we must do one the other, so we subtract 8 on the left <em>and </em>right to get y by itself.
y = -2/3x - 6 This equation is now in slope-intercept form y = mx + b, so this is the final result.

I hope this explanation made sense. If there is anything that I made look confusing, feel free to tell me and I'll try my best to explain!
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Given the function h of x equals three times the square root x plus 1 end root minus 2, which statement is true about h(x)?
topjm [15]

A function assigns the values. The correct option is D.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The given function h(x)=3(\sqrt{x+1})-2 when plotted on the graph will look as shown below. Therefore, the function is increasing on the interval (–1, ∞).

Hence, the correct option is D.

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8 0
2 years ago
Dan went on a road trip to see his friend. He started with $87.50 in his pocket. He spent $36.19 on gas, $5.87
Rus_ich [418]

Answer:

$32.89

Step-by-step explanation:

Starting Value: $87.50

After Gas: $87.50 - $36.19 = $51.31

After Chips: $51.31 - $5.87 = $45.44

After Happy Meal: $45.44 - $12.55 = $32.89

Therefore, Dan has $32.89 left

4 0
2 years ago
Don't answer this.
prisoha [69]

The information given that A, B, and C are equal in length; each one is 4.47 units long illustrates that the angle is an equilateral triangle.

Secondly, when two of its sides are congruent, then the triangle is an isosceles triangle.

<h3>How to illustrate the information?</h3>

It should be noted that an equilateral triangle simply means the triangle tht had equal shape and angles. Here, since A, B, and C are equal in length; each one is 4.47 units long illustrates that the angle is an equilateral triangle.

Secondly, when two of its sides are congruent, then the triangle is an isosceles triangle. On such triangle, two out of the three sides are equal.

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3 0
2 years ago
Hello! Please help! (directions on the image) :D
o-na [289]
Maybe 2.5 I guess I know that it says the answer is shown there check it out yourself
6 0
3 years ago
16an - 19an +8b +9an +12 b
Dominik [7]

Answer:

16an - 19an + 9an + 8b + 12b

6an + 20b

8 0
3 years ago
Read 2 more answers
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