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8_murik_8 [283]
3 years ago
12

a line is paralll yo y=4x-2 and intersects the point (5,-11). what is the equation of this parallel line

Mathematics
1 answer:
victus00 [196]3 years ago
6 0

The equation of line parallel to given line is: y=4x-31

Step-by-step explanation:

Given equation of line is:

y = 4x-2

The equation of line is in slope-intercept form so the co-efficient of x is the slope of the line.

Let m1 be the slope of the given line

then

m1 = 4

Let m2 be the line that is parallel to given line

As we know that the slopes of parallel lines is equal so

m1=m2 = 4

The slope-intercept form of equation of line is:

y = m_2x+b

Putting the value of slope

y = 4x+b

to find the value of b, putting (5,-11) in the equation

-11 = 4(5) + b\\-11 = 20+b\\b = -11-20\\b = -31

Putting the value of b

y=4x-31

Hence,

The equation of line parallel to given line is: y=4x-31

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/3126500
  • brainly.com/question/3306327

#LearnwithBrainly

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What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area
liq [111]

Answer:

Area of given figure = 96 unit²

Step-by-step explanation:

Given:

Length of shape = 4 unit

Width of shape = 4 unit

Height of shape = 4 unit

Find:

Area of given figure

Computation:

All side of figure all equal

So,

Given figure is a cube

Number of faces of cube = 6

Area of base = side x side

Area of base = 4 x 4

Area of base = 16 unit²

Area of given figure = Area of base x Number of faces of cube

Area of given figure = 16 x 6

Area of given figure = 96 unit²

8 0
3 years ago
Mrs. Eaton's dass is participating in the "Box Teps for Education campaign. On the first day, her
Katyanochek1 [597]

The number of tops on the 6th day based on the exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where a is a constant and a>1

First day class collected = 2 tops

Third day class collected = 8 tops

The exponential function can be modelled:

\rm D(N) = 2^N

D(1) = 2  (first day)

D(3) = 8  (third day)

D(6) = 64 (sixth day)

The linear function can be modeled:

D(N) = 3N -1

D(1) = 2  (first day)

D(3) = 8 (third day)

D(6) = 17 (sixth day)

Thus, the number of tops on 6th day based on exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.

Learn more about the exponential function here:

brainly.com/question/11487261

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3 years ago
Claire tried to evaluate 30x8 step by step
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Answer:

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8 0
3 years ago
Read 2 more answers
5x + 10/ x+2 *2x/4x-10
Margarita [4]

I believe this would be 5x/2x-5

Hope this helps!

3 0
4 years ago
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