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Norma-Jean [14]
3 years ago
12

Please help me with 9&10

Mathematics
1 answer:
Andrew [12]3 years ago
3 0
This is problem #9. I'm not sure how to solve #10, although the solution may be found in a similar way.

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Write an equation of a line perpendicular to y=3x+5 that contains the points (-3,-4)
Vlad [161]

The equation of line is:

y = - \frac{1}{3}x-5

Further explanation:

Given equation of line is:

y = 3x+5

The standard form of point-slope form is:

y = mx+b

Comparing the given equation with the standard form is:

m = 3

We know that product of slopes of two perpendicular lines is -1

Let m2 be the slope of line perpendicular to y = 3x+5

Then

3 * m_2 = -1\\m_2 = -\frac{1}{3}

Putting the value of slope in standard form

y = -\frac{1}{3}x + b

To find the value of b, putting (-3,-4) in equation

-4 = -\frac{1}{3}(-3) + b\\-4 = 1 + b\\b = -4-1\\b = -5

Putting the values of slope and b in equation

y = - \frac{1}{3}x-5

Keywords: Slope, Point-intercept form

Learn more about perpendicular lines at:

  • brainly.com/question/1332667
  • brainly.com/question/13096001

#LearnwithBrainly

5 0
3 years ago
Eric brought a canoe for $333.75. The sales tax was 5.25%
alexandr1967 [171]
Eric bought a canoe for $333.75 and the sales tax was 5.25%.

If you are trying to calculate the sales tax amount, you just convert the percentage into a decimal, and then multiply it by the price.

5.25% = 0.0525

0.0525 * 333.75 =  <span>17.521875

Therefore, the sales tax amount is approximately $17.52.

If you are trying to find the total price of Eric's purchase, you would just add the sales tax to the price of the canoe.

17.52 + 333.75 = $351.27

The total cost of Eric's purchase was approximately $351.27.

</span>
7 0
3 years ago
angle 0 is in quadrant 1 with sin0 = 2/5. Use the Pythagorean identity, sin^2 0 + cos^2 0 = 1, to calculate the value of cos0 as
Gwar [14]
We know that
sin²x+cos²x=1
so 
clear cos x
cos x=(+/-)√[1-sin²x]

in this problem
<span>Angle 0 is in quadrant 1 -----> cos o and sin o are positive
</span>sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5

the answer is
cos o=√21/5

7 0
3 years ago
Y varies inversely with x. If y = 40 when x = 16, find x when y =-5.
AfilCa [17]
Y varies directly with x m eans
y=kx where k is constant

y=40
x=16
find k
40=k16
divide both sides by 16
5/2=k

y=5/2x

y=-5 find x
-5=5/2x
times 2/5 both sides to cancle fraciton (5/2 times 2/5=10/10=1)
-10/5=x
-2=x

x=-2
7 0
3 years ago
Asking for some help. If you can, please do​
Verizon [17]

Answer:

I believe the answer is 24 ft as the diameter, but I am not for sure.

Step-by-step explanation:

7 0
3 years ago
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