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Vedmedyk [2.9K]
2 years ago
12

= Initial Knowledge Check Rewrite the expression by factoring out (y+9). 3y^2 (y + 9) + 7(y+9)​

Mathematics
1 answer:
alex41 [277]2 years ago
6 0

Answer:

3y {}^{2} (y + 9) + 7(y + 9) \\  = (y + 9)(3y { }^{2}  + 7)

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If m angle abf=7b-24 and m angle abe=2b find m angle ebf
cricket20 [7]

angle ABE is equivalent to the whole angle, and it measures 2b. <span>
while the angle ABF is only a portion of angle ABE, and it measure 7b - 24. 

<span>since we know the measure of the whole angle and a part of the angle, we can then subtract to find the left over angle (angle EBF), so

Angle EBF = Angle ABE - Angle ABF </span></span>

Angle EBF = 2b – (7b – 24)

<span>Angle EBF = 24 – 5b</span>

8 0
3 years ago
Find the area of the shaded region.<br> help pls
umka2103 [35]

Answer:

1. 50 m

2. 80 cm

Step-by-step explanation:

1. There are 2 triangles, subtract the area of 1 of them from the other.

The triangle that needs to be subtracted: b = 20 m, h = 10 m

A = 1/2b * h = 1/2(20) * 10 = 10*10 = 100 m

The big triangle, the one that needs to be subtracted plus the one you need to find the area of: b = 20 cm, h = 15 cm, 1/2(20) * 15 = 10 * 15 = 150

150 - 100 = 50 c

2. Divide it into 3 parts:

1- 3*4 = 12

2. 7*(4 + 4) = 7*8 = 56

3. [(4 + 4) * (13 - 7 - 3)]/2 = (8*3)/2 = 24/2 = 12

12 + 56 + 12 = 80 cm

7 0
3 years ago
How do you solve 6x + 2(x-4)=8+4(x+2)
babunello [35]

Answer:

\LARGE{ \underline{\underline{ \sf{\pink{ Required\: answer:}}}}}

6x + 2 ( x - 4) = 8 + 4 ( x + 2)

6x + 2x - 8 = 8 + 4x + 8

<em><u>Arranging</u></em><em><u> </u></em><em><u>like</u></em><em><u> </u></em><em><u>terms</u></em><em><u> </u></em>

6x + 2x - 4x = 8 +8 - 8

8x - 4x = 8

4x = 8

x = 8/4

x = 2

7 0
2 years ago
A 20% acid solution is mixed with 20 liters of a 45% acid solution. How much of a 30% acid solution will result?
vaieri [72.5K]

Answer:

50 liters

Step-by-step explanation:

If x is the volume of 20% acid, then:

x (0.20) + 20 (0.45) = (x + 20) (0.30)

0.2x + 9 = 0.3x + 6

3 = 0.1x

x = 30

30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.

6 0
3 years ago
Please use system of linear equations by elimination OR substitution. I need the work as well please.
Olin [163]

1) P= 64 cm, width = x, length = 14 + x

64 = x + x + 14 + x + 14 + x

64 = 4x + 28

4x = 64 - 28

4x = 36

x = 36/ 4

x = 9

AREA = 9 x (9+14)

Area = 9 x 23

Area = 207 cm

2) smaller no. = y, bigger no. = x

x - y = 3

2x+1/2y=36

Next, multiply 2 to first equation and find y:

2x-2y=6

5/2y=30

y = 12

Substitue y to x-y=3 to find x,

x = 15

3) x = pencil, y = pen

5x + 4y = $6.15

8x + 3y = 9.85$

8x + 7y = ?

5x + 4y = 6.15$ multiply both sides by -3

8x + 3y = 9.85$ multiply both sides by 4

-15x + 32x = (-3)*6.15 + 4*9.85

7x = 19.87 multiply both sides by 8/7

8x = (8/7) x 19.87

Add both equations:

32y - 15y = 8x6.15 - 5*9.58

17y = 1.3

y = 91/17) x 1.3

7y = (7/17)x 1.3

8x + 7y = (8/7) x 19.87 + (7/17) x 1.3

8x + 7y = $23.244

4) 2l + 2w = 0

2 x 2l + 2 x 1/2w = 40 + 16

l+w = 20

4l+w = 56

I’ve got l = 12 and w = 8

5) answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° = \frac{ab}{bc}

but bc = 20 feet.

⇒ tan 55 ° =   \frac{ab}{20}

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

6) The answer is teh attachment !

7) 3x-x+2=4

HOPE THE ANSWERS HELP!! PL MARK ME BRAINLIEST!

3 0
2 years ago
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