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zhenek [66]
3 years ago
5

Write an equation for the line that is parallel to the given line and that passes through the given point. y = �5x 3; (�6, 3

Mathematics
1 answer:
Inga [223]3 years ago
3 0
I am assuming y= –5x+3  and the point is (–6, 3). If not, just leave out the negative signs.

The general formula for a line is y=mx+c. Where m=slope, c= some constant. 

Parallelism mean equal slopes. So the slope of the line will be the coefficient of the x term in <span>y= –5x+3.

So we have, y=-5x+c

To find c, substitute values from the given point, (x=-6, y=3) and solve.

c= 3 + 5(-6)
c=-27

Therefore </span><span>y= –5x–27</span>
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Whats the least common multiple of 18 and 42?
wlad13 [49]
The least common multiple of 18 and 42 is 126. Sorry I don't know how to explain it.
6 0
3 years ago
The following prism has a base area of 20\pi20π20, pi square units and a volume of 120\pi120π120, pi cubic units. The cylinder h
vivado [14]

Given:

A prism has a base area of 20\pi square units and a volume of 120\pi cubic units.

To find:

The volume of the cylinder if the cylinder has the same base area and height.

Solution:

Volume of a prism is:

V=Bh

Where, B is the base area and h is the height of the prism.

The volume of cylinder is:

V=\pi r^2h

V=Bh

Where, r is the radius, h is the height of the cylinder and B=\pi r^2 is the base area.

Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.

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3 0
3 years ago
Solve the inequality 17u≥−8, and write the solution in interval notation.
xxTIMURxx [149]

Answer:

u= -8/17 [-8, ∞)

Step-by-step explanation:

solve it like regular equation

17u≥-8

divide 17 on both side

then you get u≥-8/17

so, (u) is any value greater than or equal to -8/17

less than equal means solid dot on number line i think its called also mean ([) meaning it includes this value too. It is a multiplication so it can be any number above -8 or -8 itself. Thus, the interval notation will be [-8, ∞). Infinite is not a fix number so we use this (). hope this helps good luck

8 0
3 years ago
What is the equation of the line that passes through the point (-1, -3) and has a slope of -5?
spin [16.1K]

Answer:

<h2>A) y = -5x - 8</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point on a line

We have the slope m = -5, and the point (-1, -3). Substitute:

y-(-3)=-5(x-(-1))\\\\y+3=-5(x+1)

Convert to the slope-intercept form (y = mx + b):

y+3=-5(x+1)          <em>use the distributive property</em>

y+3=-5x-5            <em>subtract 3 from both sides</em>

y=-5x-8

7 0
3 years ago
A square with a side length of 30 cm is divided into 4 triangles which expression CANNOT be used to find the area of one of the
zhenek [66]

Answer: A

Step-by-step explanation:

5 0
3 years ago
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