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jeka94
3 years ago
14

Find the missing side length to the nearest tenth of a millimeter.

Mathematics
1 answer:
wel3 years ago
8 0

Answer:

17.9

Step-by-step explanation:

3.7²+17.5²=319.94

\sqrt{319.94\\= 17.9

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-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
Least to greatest. <br> -5, 1 1⁄5, -5 3⁄4, 5⁄12
Mazyrski [523]
-5 3/4, -5, 1 1/5, 5/12
7 0
3 years ago
HELP PLEASE DUE IN 3 MINUTES
miv72 [106K]

Answer:

im pretty sure its 6 hope i helped

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3 years ago
Mr. Fink's economy car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons.
Sphinxa [80]

Answer:

280 miles

Step-by-step explanation:

So, 420 miles=12 gallons

That means that for 1 gallon you would be able to go 35 miles.

Just multiply that by 8. 35*8=280

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3 years ago
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anyanavicka [17]

Answer:

Step-by-step explanation:

This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.

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3 years ago
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