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Xelga [282]
1 year ago
7

Write the STANDARD FORM of the equation through the point (4,-4) witha slope of -2.

Mathematics
1 answer:
boyakko [2]1 year ago
8 0

The general equation of line with the slope "m" and passing points (a,b) is :

y - b = m (x -a)

In the given question:

Slope m = -2, passing points (a,b) = (4,-4)

Substitute the value of a = 4, b = -4 in the general equation of line

\begin{gathered} y-b=m(x-a) \\ y-(-4)=(-2)(x-4) \\ y+4=-2(x-4) \\ y+4=-2x+8 \\ y+2x=8-4 \\ 2x+y=4 \end{gathered}

The equation with the slope -2 and passing points (4,-4) is 2x + y = 4

Answer : 2x + y = 4

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What solid 3D object is produced by rotating the rectangle about line m?
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Answer:

A. A cylinder with diameter 8 units

Step-by-step explanation:

∵ The <u>line</u> m is the <em>central axis</em>

So the radius is 4 units. ∴ Diameter is 8 units.

∵ The picture is a <em>rectangle</em>.

[ The <em>rectangle rotates</em> are its side to form a <em>cylinder</em> ]

So a cylinder with diameter 8 units.

The answer is A.

7 0
1 year ago
Factor n^3 - n^2 + 3n - 3.
lozanna [386]
N^2(n - 1) + 3(n - 1)

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the answer is c
5 0
2 years ago
What is the rate of change of the linear relationship modeled in the table (-2,5) (-1,4) (0,3) (1,2)
poizon [28]

The rate of change of the linear relationship is -1.

Explanation:

It is given that there is a linear relationship between all these points, these points lie on a straight line.

The equation to find the slope passing through two points \left(x_{1}, y_{1}\right) and \left(x_{2}, y_{2}\right) is given by

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting the points (-2,5) and (-1,4), we get,

\begin{aligned}m &=\frac{4-5}{-1+2} \\&=\frac{-1}{1} \\&=-1\end{aligned}

Thus, the slope is -1.

Thus, the rate of change of the linear relationship is -1.

8 0
3 years ago
Solve for y- 4y−3=5y+2
Anastaziya [24]
Y=<span><span>−5/8 which is the answer to the equation 
 To check plug in the y value and see if it equals out</span></span>
6 0
3 years ago
Read 2 more answers
Can someone help solve for Y
kotykmax [81]
Because angleCBD+angleBDC+angleC=180 so angleCBD+angleBDC=180-angleC=180-82=98 because BC=DC so angleCBD=angleBDC so 2 angleCDB=98 so angleCDB=49 so y=29 by Joy Xu,紫馨雪汐
7 0
2 years ago
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