Domain and range of y=-.50x+12

Sonbull [250]

A) 2 1/3 = 7/3
7/3 / 1/4 = 7/3 x 4/1 = 28/3 = 9 and 1/3

b) 4 2/5 = 22/5
1 1/5 = 6/5
22/5 / 6/5 = 22/5 x 5/6 = 110/30 = 3 and 2/3

7 0

3 years ago

The triangle below is isosceles. If ∠C≅∠B, then what is BC, in units?

ladessa [460]

Answer:

Step-by-step explanation:

If angles C and B have equal degrees then the side AC is also equal to side AB in length and you can make their equations equal as well and solve for X.

2x+16=7x+6

get X's all on same side and the constants all on the other side,

-2x +2x+16=7x+6+-2x

The X's on the left cancel out.

16=5x+6

-6+16=5x+6+-6

add -6 to each side. On the right the 6 is now cancelled out.

10=5X

divide each side by 5 to cancel out the 5

10/5= 5X/5

2=X . ANSWER

5 0

2 years ago

Use matrix addition to solve this equation: B + 15 −7 4 0 1 2 = 1 2 12 4 0 2 b11 = b12 = b13 = b21 = 4 b22 = −1 b23 = 0

Arada [10]

Answer:

$b_{11}=-14,b_{12}=9,b_{13}=8,b_{21}=4,b_{22}=-1,b_{23}=0$

Step-by-step explanation:

The given matrix addition is

$B+\begin{bmatrix}15&-7&4\\ 0&1&2\end{bmatrix}=\begin{bmatrix}1&2&12\\ 4&0&2\end{bmatrix}$

We need to find the elements of matrix B.

Let $B=\begin{bmatrix}b_{11}&b_{12}&b_{13}\\ b_{21}&b_{22}&b_{23}\end{bmatrix}$

Substitute the value of matrix.

$\begin{bmatrix}b_{11}&b_{12}&b_{13}\\ b_{21}&b_{22}&b_{23}\end{bmatrix}+\begin{bmatrix}15&-7&4\\ 0&1&2\end{bmatrix}=\begin{bmatrix}1&2&12\\ 4&0&2\end{bmatrix}$

After addition of two matrix we get

$\begin{bmatrix}b_{11}+15&b_{12}-7&b_{13}+4\\ b_{21}+0&b_{22}+1&b_{23}+2\end{bmatrix}=\begin{bmatrix}1&2&12\\ 4&0&2\end{bmatrix}$

On equating both sides.

$b_{11}+15=1\Rightarrow b_{11}=-14$

$b_{12}-7=2\Rightarrow b_{12}=9$

$b_{13}+4=12\Rightarrow b_{13}=8$

$b_{21}+0=4\Rightarrow b_{21}=4$

$b_{22}+1=0\Rightarrow b_{22}=-1$

$b_{23}+2=2\Rightarrow b_{23}=0$

Therefore, the elements of matrix B are $b_{11}=-14,b_{12}=9,b_{13}=8,b_{21}=4,b_{22}=-1,b_{23}=0$ .

3 0

3 years ago

On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to f

ratelena [41]

How does the area of triangle RST compare to the area of triangle LMN? is 2 square units less than the The area of △ RST area of △ LMN The area of △ RST is equal to the area of △ LMN The area of △ RST is 2 square units greater than the area of △ LMN The area of △ RST is 4 square units greater than the area of △ LMN.Jun 25, 2021

7 0

2 years ago

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What is the diameter of a hemisphere with a volume of 8514 cm', to the nearest

Mandarinka [93]

Answer:

32.0 cm

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

r = cube root (Volume * 3/2 * 1/π )

r = cube root ( 8514 * 3/2 * 1/π)

r = 15.96

in the nearest tenth r = 16.0 cm

D= 2r

D= 2(16)

D= 32cm

6 0

2 years ago

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