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irinina [24]
3 years ago
13

Write an equation for line L in point-slope form and slope-intercept form.

Mathematics
1 answer:
Marianna [84]3 years ago
5 0

Answer:

y = -\frac{1}{4}x + c --- Slope intercept

y - y_1 = -\frac{1}{4}(x - x_1) --- Point slope

Step-by-step explanation:

Given

Perpendicular to y = 4x

Required

Determine its equation

The general form of an equation is:

y = mx + c

Where

m = slope

By comparison:

m = 4

Next, we calculate the slope of L.

Because L is perpendicular to y = 4x, the relationship between their slopes is:

m_2 = -\frac{1}{m}

Substitute 4 for m

m_2 = -\frac{1}{4}

The equation of L in slope intercept form is: y = mx + c

Substitute -1/4 for m

y = -\frac{1}{4}x + c

In point slope form, we have:

y - y_1 = m(x - x_1)

Substitute -1/4 for m

y - y_1 = -\frac{1}{4}(x - x_1)

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Countering a cost $9.40 per sales tax. After sales tax, it cost $9.87. What is the sales tax rate?
Nady [450]
STEP 1:
find the sales tax (decimal form)

x= sales tax

Cost + (Cost * Sales Tax)= Total
plug in known numbers

$9.40 + ($9.40 * x)= $9.87

9.40 + 9.40x= 9.87
subtract 9.40 from both sides

9.40x= 0.47
divide both sides by 9.40

x= 0.47/9.40

x= 0.05 sales tax decimal form


STEP 2:
find sales tax percentage

= 0.05 * 100
or move decimal to the right two decimal places

= 5% sales tax percent form


ANSWER: The sales tax is 5% (or 0.05 in decimal form)

Hope this helps! :)
6 0
3 years ago
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Please help me with this/ will give brainlist
nalin [4]

Answer:

102 degrees bc it is vertical angle means there's same degree

6 0
2 years ago
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Lori needs at least 12 liters of water to fill a water cooler. She has a container with 4.55 liters of
Stels [109]

Answer:

<u></u>

  • <u>Yes, she has enough water.</u>

Explanation:

To <em>estimate</em> the value, you can work with friendly numbers: numbers closed to the given numbers and with which you can perform easy mental calculations.

For example 4.55 may be rouned to 5, 4.85 may be rounded to 5, and 3.25 may be rounded to 3. That yields 5 + 5 + 3 = 13

Then, it seems you have about 13 liters. Is the final number equal or greater than 12 for sure?

To round 4.55 to 5 you increased the amount in 0.45, to round 4.85 to 5 you increased the amount by 0.15, and to round 3.25 to 3 you decreased the amount in 0.25.

What was the net change in your values: 0.45 + 0.15 - 0.25 = 0.60 - 0.25 = 0.35. Those are easy calculations that you can perform in your mind.

That means that you increased your total in less than 1 liter. Meaning that the final total is overestimated by 0.35, and that if you used the real amounts to make the calculations, the total will be still more than 12.

4 0
3 years ago
The three angles in a triangle are in the ratio 3:5:7. Find the largest angle in the triangle?
Rzqust [24]

Answer: The largest angle is 7x

Step-by-step explanation:

Their sum is 180, so

3x + 5x + 7x = 180

5x = 180 --> x = 12

The largest angle is 7x, which is 7(12) = 84

7 0
3 years ago
Find the midpoint of the line segment whose endpoints are (0,1/2 ) and (0,3/4 ).
Ksivusya [100]
Formula of the midpoint:
x =(x₁+x₂)/2    and y = (y₁+y₂)/2

Plugin the respective value
for A(0,1/2)  and B(0, 3/4)

x= (0+0)/2 = 0
y = (1/2 + 3/4)/2 = 5/8 

Then the midpoint of the line segment whose endpoints are (0,1/2 ) and (0,3/4 ). is M(0, 5/8) or M(0, 0.625)

8 0
3 years ago
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