7(x+y)−7x simplified expression

Find the slope of each line defined below and compare their values.

inn [45]

Step-by-step explanation:

The equation of line A:

y - 1 = 0.5x - 3

y = 0.5x - 2. Hence its gradient is 0.5.

For line B, its y intercept is -8, so y = mx - 8.

When x = -4, y = -4m - 8 = 0 as shown in the graph. This means that m = -2.

So the equation of line B:

y = -2x - 8. Its gradient is -2.

Since |-2| > |0.5|, line B is steeper than line A.

8 0

3 years ago

Explain how proving two triangles congruent can help prove parts of the triangle congruent.

NemiM [27]

Explanation:

If two triangles are congruent, this means they are the same shape and the same size.

By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.

When we know that two triangles are congruent and are showing that corresponding sides or corresponding angles of the triangles are congruent, we use the justification "CPCTC". This stands for:

Corresponding

Parts of

Congruent

Triangles are

Congruent.

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Clarge%5Cbegin%7Bbmatrix%7D%20%5Cbegin%7Barray%7D%20%7B%20l%20l%20%7D%20%7B%202%20%7D%20%

SVETLANKA909090 [29]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

$\begin{bmatrix} \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \end{bmatrix} \begin{bmatrix} \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \end{bmatrix}$

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\begin{bmatrix} \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \end{bmatrix} \begin{bmatrix} \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \end{bmatrix}$

In matrix multiplication, the number of columns in the 1st matrix is equal to the number of rows in the 2nd matrix.

$\left(\begin{matrix}2&3\\5&4\end{matrix}\right)\left(\begin{matrix}2&0&3\\-1&1&5\end{matrix}\right)$

Multiply each element of the 1st row of the 1st matrix by the corresponding element of the 1st column of the 2nd matrix. Then add these products to obtain the element in the 1st row, 1st column of the product matrix.

$\left(\begin{matrix}2\times 2+3\left(-1\right)&&\\&&\end{matrix}\right)$

The remaining elements of the product matrix are found in the same way.

$\left(\begin{matrix}2\times 2+3\left(-1\right)&3&2\times 3+3\times 5\\5\times 2+4\left(-1\right)&4&5\times 3+4\times 5\end{matrix}\right)$

Simplify each element by multiplying the individual terms.

$\left(\begin{matrix}4-3&3&6+15\\10-4&4&15+20\end{matrix}\right)$

Now, sum each element of the matrix.

$\large\boxed{\boxed{\left(\begin{matrix}1&3&21\\6&4&35\end{matrix}\right) }}$

7 0

3 years ago

Please help, need this ASAP: A line passes through the points (-3,-5) and (6,1). The equation of this line can be written in the

Murrr4er [49]

The slope of the line is (6 - (-3))/(1 - (-5)) = 9/6 = 3/2, so by point slope form, the equation of the line is (y + 5) = 3/2(x + 3). Then 2y + 10 = 3x + 9, so 3x - 2y = 1. A + B + C = 3 + (-2) + 1 = 2.

5 0

4 years ago

What is the volume of this sphere?

Natasha_Volkova [10]

Answer:

Option c. 11,488.21 cm3

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$