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Tasya [4]
3 years ago
5

write the equation of a line that is perpendicular to the given line and that passes through the given point. y-4=5/2(x+3) ; (-7

,8)
Mathematics
2 answers:
faltersainse [42]3 years ago
7 0
The gradient of the perpendicular line would be the negative reciprocal of the original line. Therefore the gradient of the perpendicular line would be -2/5x.
Since we know y=mx+c, ∴y=-2/5x+c. Sub in the x and y values of the given point and we get that c=26/5.

The perpendicular equation would be y=-2/5x+26/5.
I hope I got this right.
Jobisdone [24]3 years ago
4 0
Comparing equation y-4 = 5/2(x+3) with slope-point form y-y1=m(x-x1), slope of given line is 5/2. Let m' be the slope of required line. product of the slope of perpendicular lines is equal to -1. Therefore, mxm' = -1. m' = -2/5. Using slope-point form to find the equation of required line, y-y1 = m(x-x1) . y-8 = -2/5(x-(-7)). y-8 = -2/5(x+7).
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There is a 5% sales tax on clothing at your favorite store you've gone shopping 4 times how much tax did you pay each time ?
salantis [7]
All you have to do is the amount she bought divided by 0.05 and then add the answer you get to the amount she bought each time
8 0
3 years ago
Propane is stored in a cylindrical tank with a diameter of 15 inches and a height of 48 inches. Which equation could be used to
Virty [35]

Step-by-step explanation:

remember. the radius is always half the diameter.

volume of a cylinder

pi × r² × height

pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³

volume of a sphere

4/3 × pi × r³

and that volume should be the same as the cylinder. so,

4/3 × pi × r³ = pi×56.25×48

4/3 × r³ = 56.25 × 48

1/3 × r³ = 56.25 × 12

r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025

r =  \sqrt[3]{2025}

which would be 12.65148998... in.

8 0
2 years ago
The length of time of the school field day was decreased
Tju [1.3M]
18% because take the first digits of each number and put them together lol
8 0
3 years ago
Luke's water bottle holds 2,150 milliliters. He drinks 3.5 bottles of water each day. How many milliliters of water does he drin
sashaice [31]

Answer:

7525 milliliters

Step-by-step explanation:

because if you multiply 2150 by 3.5 you will get that number

4 0
2 years ago
Solve each system by the addition method.
bagirrra123 [75]

Answer:

(x, y) = (2, -1.5)

Step-by-step explanation:

x + 2y = -1

5x - 4y = 16

<=>

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

5x - 4y = 16

<=>

2x + 4y = -2

5x - 4y = 16

<=>

7x = 14

<=>

x = 2

(*)x + 2y = -1

=> 2 + 2y = -1

=> 2y = -3

=> y = -1.5

=> (x, y) = (2, -1.5)

6 0
3 years ago
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