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1 year ago

What is the slope of the equation? -2x + 5y = 10

Mathematics

1 answer:

RUDIKE [14]1 year ago

4 0

Answer:

Slope is 1

Step-by-step explanation:

$-2x+5y=10\\\\5y=10+2x\\\\y=5+x\\\\y=x+5$

Thus, the slope of the equation is 1

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What is the solution to the system of equations below?<br>2x+3y = 17<br>3x+6y= 30

brilliants [131]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}2x+3y=17&\text{multiply both sides by (-2)}\\3x+6y=30\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-4x-6y=-34\\3x+6y=30\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-x=-4\qquad\text{change the signs}\\.\qquad x=4\\\\\text{put the value of x to the first equation:}\\\\2(4)+3y=17\\8+3y=17\qquad\text{subtract 8 from both sides}\\3y=9\qquad\text{divide both sides by 3}\\y=3$

5 0

2 years ago

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I have 6.5 yards of fabric and if the fabric costs $3.99 per yard how much will I spend

Masteriza [31]

Answer: You will spend 25.94$

Step-by-step explanation:

6.5 yards by 3.99 per yard = 6.5 times 3.99 = 25.935 witch rounds too 25.94$

4 0

2 years ago

Read 2 more answers

Is ratio 4.2:1.5 proportional to 12.6:4.5

Gennadij [26K]

If we divide 12.6/4.5 by 3 we receive 4.2/1.5. So yes they are proportional. <span />

5 0

3 years ago

What is equivalent to 8-8x

MrRissso [65]

8 - 8x is already in its simplest form.

Without knowing the value of x, you cannot find what is equivalent to 8 - 8x, but you can it if is an equation, such as 8 - 8x = 88 (x would be -10).

However, you can still rewrite it as -8x + 8, which is equivalent to 8 - 8x.

3 0

2 years ago

See question in attached photo.

statuscvo [17]

9514 1404 393

Answer:

(a, b) = (-2, -1)

Step-by-step explanation:

The transpose of the given matrix is ...

$A^T=\left[\begin{array}{ccc}1&2&a\\2&1&2\\2&-2&b\end{array}\right]$

Then the [3,1] term of the product is ...

$(A\cdot A^T)_{31}=\left[\begin{array}{ccc}a&2&b\end{array}\right]\cdot\left[\begin{array}{ccc}1&2&2\end{array}\right]=a+2b+4$

and the [3,2] term is ...

$(A\cdot A^T)_{32}=\left[\begin{array}{ccc}a&2&b\end{array}\right]\cdot\left[\begin{array}{ccc}2&1&-2\end{array}\right]=2a-2b+2$

Both of these terms in the product matrix are 0. We can solve the system of equations by adding these two terms:

(a +2b +4) +(2a -2b +2) = (0) +(0)

3a +6 = 0

a = -2

Substituting for 'a' in term [3,1] gives ...

-2 +2b +4 = 0

b = -1

The ordered pair (a, b) is (-2, -1).

8 0

2 years ago