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Len [333]
3 years ago
8

Branliest solve the equation 8.7=3.5m-2.5(5.4-6m)

Mathematics
1 answer:
ira [324]3 years ago
7 0
Simplifying
8.7 = 3.5m + -2.5(5.4 + -6m)
8.7 = 3.5m + (5.4 * -2.5 + -6m * -2.5)
8.7 = 3.5m + (-13.5 + 15m)

Reorder the terms:
8.7 = -13.5 + 3.5m + 15m

Combine like terms: 3.5m + 15m = 18.5m
8.7 = -13.5 + 18.5m

Solving
8.7 = -13.5 + 18.5m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-18.5m' to each side of the equation.
8.7 + -18.5m = -13.5 + 18.5m + -18.5m

Combine like terms: 18.5m + -18.5m = 0.0
8.7 + -18.5m = -13.5 + 0.0
8.7 + -18.5m = -13.5

Add '-8.7' to each side of the equation.
8.7 + -8.7 + -18.5m = -13.5 + -8.7

Combine like terms: 8.7 + -8.7 = 0.0
0.0 + -18.5m = -13.5 + -8.7
-18.5m = -13.5 + -8.7

Combine like terms: -13.5 + -8.7 = -22.2
-18.5m = -22.2

Divide each side by '-18.5'.
m = 1.2

Simplifying
m = 1.2
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write a simplified polynomial expression in the standard form to represent the area of the rectangle below x-4 5x+2
Ann [662]

The area of the rectangle is 5x^{2} -18x-8

Explanation:

One side of the rectangle is x-4

The another side of the rectangle is 5x+2

The formula to find the area of the rectangle is length × width

Area = length × width

Substituting the values, we have,

\begin{aligned}\text { Area } &=(x-4)(5 x+2) \\&=5 x^{2}+2 x-20 x-8 \\&=5 x^{2}-18 x-8\end{aligned}

Thus, the area of the rectangle is 5x^{2} -18x-8

3 0
3 years ago
Read 2 more answers
Solve each equation by graphing the related function. If th equation has no real number solution, write no solution. X^2 + 7 = 0
Brrunno [24]
Answer:
The equation x² + 7 = 0 has no solution

Explanation:
1- using graph:
To solve the equation means graphically means to find the x-intercepts.
The attached image shows the graph of the given function.
We can note that there are no x-intercepts. This means that the given function has no real solutions

2- using algebra:
To solve the equation algebraically means to find the values of x that would make the equation equal to zero.
Solving the given equation, we would find that:
x² + 7 = 0
x² = -7
x = <span>± </span>√-7
The square root of a negative number will always give imaginary values. This means that the equation has no real solutions

Hope this helps :)

6 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
andrew-mc [135]

Answer:

(-5.25,-3.5)

Step-by-step explanation:

Q(-3,-2)

Q'(-3*7/4.-2*7/4)

4 0
2 years ago
What is the slope of the line passing through (-5,2) and (1,8)
nikdorinn [45]

Answer:

go to slope calclculator

Step-by-step explanation:

6 0
3 years ago
I need help with elimination with substitution. The equations are 3x+4y=19 and 3x+6y=33
olganol [36]
For elimination, multiply one whole equation by negative one (-1), then add or subtract according to your signs. After that, it will be a one-step equation.

3x + 4y = 19          3x + 4y = 19             3x + 4y = 19          -2y = -14        y = 7
3x + 6y = 33     -1 (3x + 6y = 33)          -3x - 6y = -33          -14 / -2

Then you would go back and substitute the value of (y) back into either equation and then solve for the remaining variable (x). Finally, use both values to make an ordered pair.

3x + 4y = 19          3x = -9          x = -3          (-3 , 7)
3x + 4(7) = 19       (-9 / 3)
3x + 28 = 19          

Good Luck

4 0
3 years ago
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