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Shkiper50 [21]
3 years ago
14

Given the line: y=2x+3. What is theslope of a line perpendicular to the given line

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0
The slope for this line would be 2
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I'd be happy if you could help!​
ss7ja [257]

Step-by-step explanation:

Circumference=22π

2πr=22π

r=11 in.

Area=121π in.²

Hope it helps you

8 0
3 years ago
-x=-y+2 and 3y+4=2x solve using matrices
MissTica

\begin{cases}-x=-y+2\\3y+4=2x\end{cases}\implies\begin{cases}x-y=-2\\2x-3y=4\end{cases}

In matrix form, this is

\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-2\\4\end{bmatrix}

The coefficient matrix has determinant

\begin{vmatrix}1&-1\\2&-3\end{vmatrix}=-3+2=-1\neq0

so it has an inverse, which is

\begin{bmatrix}1&-1\\2&-3\end{bmatrix}^{-1}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}

Multiply both sides by the inverse matrix:

\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}-2\\4\end{bmatrix}

\implies\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-10\\-8\end{bmatrix}

so that x=-10 and y=-8.

8 0
3 years ago
Which of the following best defines a function?
Sidana [21]
Answer: <span>A. A function is a special type of relation for which there is a rule that pairs each input with exactly one output.

Option B is incorrect because it does not include that there cannot be two x-values with the same y-value. Option C is incorrect because it is a relation, not just a set of ordered pairs. Option D is incorrect because there <em>is</em> a particular pattern in a function.

Hope this helps!</span>
8 0
3 years ago
Ellen drove 357.3 miles.for each gallon of gas,the car can travel 21 miles.select a reasonable estimate of the number of gallons
kari74 [83]
Just a little over 17 gallons was used
7 0
3 years ago
The length of a rectangle is seven more than double the width. If the perimeter is 22 inches find the dimensions
lubasha [3.4K]

Answer:

width = 1 1/3 inches

length = 9 2/3 inches

Step-by-step explanation:

let 'w' = width

let '7+2w' = length

P = 2l + 2w

22 = 2w + 2(7+2w)

22 = 2w + 14 + 4w

8 = 6w

w = 4/3 or 1 1/3

substitute 1 1/3, or 4/3, to find length:

l = 7 + 2(4/3)

l = 7 + 8/3 or 9 2/3

7 0
3 years ago
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