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Vedmedyk [2.9K]
3 years ago
11

~PLEASE HELP ASAP OFFERING 10 POINTS~

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0
T = c + cb
t - c = cb
(t - c)/c = b
b = (t - c)/c
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Find the equation of the line through (0,4) perpendicular to the line y = 3x
Rufina [12.5K]

Answer:

y =  -  \frac{1}{3} x + 4

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

The product of the gradients of perpendicular lines is -1.

Gradient of given line= 3.

(Gradient of line)(3)= -1

3m= -1

m= -  \frac{1}{3}

subst. m= -  \frac{1}{3} into the equation:

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

To find the value of c, substitute a coordinate.

When x=0, y=4,

4 =  -  \frac{1}{ 3} (0) + c \\ 4 = c \\ c = 4

Thus the equation of the line is y =  -\frac{1}{3} x + 4.

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Answer:

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Step-by-step explanation:

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3 years ago
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The radius of a circle is 3 millimeters. What is the circle's area? r=3 mm Use 3.14 for ​. square millimeters
Lena [83]
I’m pretty sure it’s 3,140,000
6 0
3 years ago
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Vlada [557]

Answer:

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Step-by-step explanation:

3 0
3 years ago
The sum of 5 consecutive even numbers is 100. What is the first number in this sequence?
gayaneshka [121]

Answer:

16

Step-by-step explanation:

Let's represent this with an equation, where x is the first number. The next number must be x+2, because it has to be even, not x+1, and the rest continue the same way:

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Solve for x.

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4 0
3 years ago
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