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dem82 [27]
2 years ago
14

A straight line has the same gradient as y=3x+5 and it passes through the point (0,12).

Mathematics
1 answer:
Leokris [45]2 years ago
5 0

Answer:

y = 3x + 12

Step-by-step explanation:

y = 3x + 5 has slope 5.

We need the equation of a line with slope 5 that passes through point (0, 12).

y - y1 = m(x - x1)

y - 12 = 3(x - 0)

y - 12 = 3x

y = 3x + 12

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The given line passes through the points (-4, -3) and (4,
drek231 [11]

Answer:

y = 2x + 11

Step-by-step explanation:

The first thing we need to do

is to find the slope of the line that passes through the points (-4,-3) and (4,1)

Mathematically, that would be;

m = y2-y1/(x2-x1)

where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)

substituting these. values we have;

m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5

Now we are told this line is perpendicular to another line that passes through another point.

We can find the slope of this other line

Since both lines are perpendicular, the product of their slope is -1.

Thus , -0.5 * m = -1

m = -1/-0.5 = 2

So the slope of the other line is 2

Using the point-slope form;

y-y1= m(x-x1)

The point for the other line is (-4,3)

So the equation will be

y-3 = 2(x+4)

y-3 = 2x + 8

y = 2x + 11

8 0
3 years ago
after eating at the restaurant, jason, sandy, and sam decided to divide the bill evenly. if each person pid 34 dollars, what was
stealth61 [152]

Answer:

$102

Step-by-step explanation:

34x3=102

34+34+34=102

There are three people total, each paid 34. Add each person's total to the others, or multiply by three.

5 0
3 years ago
The net of a square pyramid is shown below:
xxMikexx [17]
The surface area is 24
3 0
3 years ago
Find the missing side for each triangle below
xxTIMURxx [149]

Applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.

<h3>How to Solve a Right Triangle Using Trigonometry Ratio</h3>

The Trigonometry Ratios are:

  • SOH - sin∅ = opp/hyp.
  • CAH - cos∅ = adj/hyp.
  • TOA - tan∅ = opp/adj.

Thus, given:

∅ = 51°

hyp = 3

adj = x

  • Apply, CAH:

cos 51 = x/3

x = (cos 51)(3)

x = 1.9

Thus, applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.

Learn more about Trigonometry Ratio on:

brainly.com/question/4326804

4 0
3 years ago
Is 40 a multiple or a factor
gladu [14]
Hey there!
It can be both. It's a multiple of 8 because 8 times 5 is 40, but it's also a factor of 120 because 80 times 3 is 120.
Hope this helps!
5 0
3 years ago
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