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GarryVolchara [31]
3 years ago
5

7(x+3)=-2(x-5) Help pls?

Mathematics
2 answers:
ANEK [815]3 years ago
6 0

Answer:

x=\frac{-11}{9}

Step-by-step explanation:

distribute 7 into (x+3) and -2 into (x-5)

7x+21=-2x+10

add -2x on both sides

7x+2x+21=10

9x+21=10

subtract 21 on both sides

9x=-11

divide both sides by 9

x=-11/9

hope this helps

olganol [36]3 years ago
3 0

Answer:

x = -11/9

Step-by-step explanation:

7(x+3)=-2(x-5)

Distribute

7x+21 = -2x+10

Add 2x to each side

7x+21 +2x = -2x+10+2x

9x +21 = 10

Subtract 21 from each side

9x +21-21 = 10-21

9x = -11

Divide each side by 9

9x/9 = -11/9

x = -11/9

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-62 + 18y = 264<br> -12x - 36y = 130<br><br><br> What solution is this
sergeinik [125]

Answer: x = -\frac{391}{6} =\\-65 \frac{1}{6}\\ -65.166666667\\y=\frac{163}{9}=18\frac{1}{9}  \\18.111111111

Step-by-step explanation: Multiply -36 and 163/9 to get -652. Add 652 to both sides then add 130 and 652 to get 782. Divide both sides by -12 then reduce the fraction 782/-12 to lowest terms by extracting and canceling out 2. The system is now solved.

3 0
2 years ago
On a 1‐mile walking tour of New York City, a group had to take a detour that was 300 yards shorter than half the distance of the
tresset_1 [31]

Answer:

580 yards long.

Step-by-step explanation:

The distance of the walking tour is = 1 mile

Step 1

We have to convert 1 mile to yards

Therefore ,

1 mile = 1760 yards

Step 2

We are told that the group took a detour that was 300 yards shorter than half the distance of the tour.

The second step would be to find out how many yards is equal to half the distance of the tour.

Half the distance of the tour = 1/2 of a mile

And in step 1 we have converted whole distance of the tour to yards

= 1 mile = 1760 yards.

Hence, Half the distance of the tour = 1760 yards ÷ 2

= 880 yards.

Step 3

The group took a detour that was 300 yards shorter than half the distance of the tour.

This means mathematically,

Half the distance of the tour - 300 yards

= 880 yards - 300 yards

= 580 yards.

Therefore, the detour was 580 yards long.

7 0
3 years ago
Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo
Alla [95]

Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

\displaystyle y-3=-\frac{1}{2}(x-2)

Operating

\displaystyle y=-\frac{1}{2}(x-2)+3

Simplifying

\displaystyle y=-\frac{1}{2}x+4

That is the equation in slope-intercept form. Intercept: y=4

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