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Salsk061 [2.6K]
4 years ago
6

Write the equation of the lines that passes through the points (-3, -2) and (0, -3)

Mathematics
1 answer:
N76 [4]4 years ago
7 0

Answer:

-\frac{1}{3}

Step-by-step explanation:

To find the slope of a line using two points, employ the use of the slope formula.

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

Your y1 term is -2, your y2 term is -3.

Your x1 term is -3, your x2 term is 0.

\frac{-3-(-2)}{0-(-3)} \\\\\\\frac{-3+2}{0+3} \\\\\frac{-1}{3} \\

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What is the value of C in the matrix equation below?
lara [203]

Given:

The matrix equation is:

\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}

To find:

The value of matrix C.

Solution:

Let A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}. Then the given equation can be rewritten as

A-C=B

-C=B-A

C=-(B-A)

C=A-B

On substituting the values of the matrices, we get

C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}

C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}

C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}

C=\begin{bmatrix}-4&2&-7\end{bmatrix}

Therefore, the correct option is C.

6 0
3 years ago
Read 2 more answers
Find the area of each face of the cube whose volume is 729 meter square
natita [175]

Answer:

4.5

Step-by-step explanation:

6a^2 = The  surface area of cube \\\sqrt{729} = 27\\27 / 6 = 4.5

5 0
3 years ago
The perimeters of the rectangle shown are equal. what is the perimeter of each rectangle.​
Svetradugi [14.3K]

Answer:

3.2 units

Step-by-step explanation:

Since the perimeters of the rectangles are equal:

n + n + 0.6 = n +0.1 + 2n

2n + 0.6 = 3n + 0.1

0.5 = n

Left Rectangle:

2 (0.5 + 0.5 + 0.6) = 3.2 units

Since they have the same perimeter, the rectangle on the right also has a perimeter of 3.2 units.

6 0
3 years ago
Order these numbers from least to greatest.0.85,1/4,5/8,20%,0.3
Pavlova-9 [17]
1/4 = 0.25
5/8 = 0.625
20% = 0.20
So now we have: 0.20 < 0.25 < 0.3 < 0.625 < 0.85
So the solution is 20%, 1/4, 0.3, 5/8, 0.85
4 0
3 years ago
Your fi nancial advisor recommends buying a 10-year bond with a face value of $1,000 and an annual coupon of $80. The current in
rusak2 [61]

Answer:

Bond Price​= $1,070.24

Step-by-step explanation:

Giving the following information:

Cupon= $80

Number of periods= 10 years

Face value= $1,000

Interest rate= 7%

<u>To calculate the price of the bond, we need to use the following formula:</u>

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 80*{[1 - (1.07^-10)] / 0.07} + [1,000 / (1.07^10)]

Bond Price​= 561.89 + 508.35

Bond Price​= $1,070.24

8 0
3 years ago
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