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vladimir1956 [14]
3 years ago
15

Solve: 7 = x + 12 A) -19 B) -5 C) 4 D) 5

Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

<em><u>Hello, there! :)</u></em>

<u><em>Answer:</em></u>

<u><em>x=-5 </em></u>

<u><em>B. -5</em></u>

<u><em>*The answer must have a negative sign.*</em></u>

Step-by-step explanation:

Definition of subtraction property of equality.

Subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

a-c=b-c

First, you had to switch sides.

x+12=7

Then, you subtract by 12 from both sides of an equation.

x+12-12=7-12

And finally, simplify or solve.

7-12=-5

x=-5

Hope this helps!

Thanks!

-Charlie

:)

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7 0
3 years ago
Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you
Paul [167]

Answer:

a: no solutions

b: (2, 3)

Step-by-step explanation:

a:

In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.

b:

Since both of the equations are equal to y, we can set them equal to each other:

\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):

(x-2)^2 = 0

x = 2

Now, to find y, plug-in x to any of the equations:

y = 2*2-1 = 3

Therefore, the solution to this system of equation is (2, 3)

I hope this helped.

4 0
3 years ago
5/8x - 11/2 = 3/4 <br> what does the x equal ?
Verizon [17]

Answer:

x=10

Step-by-step explanation:

5/8x - 11/2 = 3/4

Multiply each side by 8 to clear the fractions

8(5/8x - 11/2 = 3/4)

5x - 44 = 6

Add 44 to each side

5x-44+4= 6+4

5x= 50

Divide by 5

5x/5 = 50/5

x =10

6 0
3 years ago
Find the sum of interior angles a polygon has with the given number of sides a.9 b.19
Gnom [1K]

The equation for this is (n-2) x 180

Replace n with the number of sides:

a. 9:  (9-2) x 180 = 7 x 180 = 1,260

b. 19: (19-2) x 180 = 17 x 180 = 3,060

4 0
3 years ago
The perimeter of an equilateral triangle is 114mm. <br> State the length of one of its sides
spin [16.1K]

Answer:

Since an equilateral triangle has all three side equal then one of its side is 38mm

8 0
3 years ago
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