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zvonat [6]
3 years ago
9

Use the Distributive Property to solve the equation.4(x - 6) + 6 = 6x-2​

Mathematics
2 answers:
KatRina [158]3 years ago
5 0

Answer:

x = -8

Step-by-step explanation:

(4 · x) - (4 · 6) + 6 = 6x - 2

4x - 24 + 6 = 6x - 2

4x - 18 = 6x - 2

Isolate x.

4x = 6x - 2 + 18

4x = 6x + 16

4x - 6x = 16

-2x = 16

x = 16 ÷ -2

x = -8

I hope this helps! :)

kkurt [141]3 years ago
3 0

Answer:

-8 =x

Step-by-step explanation:

4(x - 6) + 6 = 6x-2​

Distribute the 4

4x - 24 +6 = 6x-2

Combine like terms

4x - 18 = 6x-2

Subtract 4x from each side

4x-18-4x = 6x-2-4x

-18 = 2x-2

Add 2 to each side

-18+2 = 2x-2+2

-16 = 2x

Divide each side by 2

-16/2 =2x/2

-8 =x

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ElenaW [278]

Answer:

6-11i

Step-by-step explanation:

(2 + 7i) - (6 + 8i) + (10 - 10i)

Distribute the minus sign

(2 + 7i) - 6 - 8i + (10 - 10i)

Combine like terms

2-6 +10     +7i-8i-10i

6                 -11i

7 0
3 years ago
A gallon is 128oz. An airplane can carry 1,445 gallons of fuel. Write the number of ounces of fuel the plane can carry.
BARSIC [14]

Answer:

184960

Step-by-step explanation:

1445 x 128 = 184960

3 0
3 years ago
Is the equations of quadratic number pattern will always have real roots
algol [13]
No, not at all.

The general quadratic equation is

                         Ax² + Bx + C = 0 .

The roots are real only if  (B² - 4AC) is not negative.

That means if you graph it, it touches or crosses the x-axis.

If the graph is up in the air and never touches the x-axis,
then it has no real roots.
8 0
3 years ago
This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards
liberstina [14]

Answer:

Given : The high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide.

The school decided to cover the semicircles with grass to create a space for stretching and other activities.

To Find: area of one of the semicircles at either end of the track

How many square yards of grass will the school need to cover the entire circle?

Solution:

Diameter of semicircle = 70 yards

Radius of semicircle = 70/2 = 35 yards

Area of semicircle at one end = (1/2)πr²

= (1/2)(22/7)35²

= 1,925 sq yards

area of one of the semicircles at either end of the track = 1,925 sq yards

square yards of grass will the school need to cover the entire circle

= 2 x   1,925

= 3850 sq yards

distance around one of the semicircles at either end of the soccer field = πr  = (22/7) 35 = 110 yards

distance around the inner lane of the track  = 100 + 100 + 110 + 110

= 420 yards

Please Mark as Brainliest

Hope this Helps

4 0
3 years ago
What is the answer 6.25=r2
Rom4ik [11]
The opposite of multiplication is division, so you divide 2 from both sides. R2/2 = cancel out 6.25/2 = 3.125 R = 3.125
3 0
4 years ago
Read 2 more answers
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