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Tpy6a [65]
3 years ago
8

The area of the rectangle shown is 32x^2 + 12 If width can be represented by 4x, write an expression to represent the length of

the rectangle
Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

L=(8x^2+3)/x

Step-by-step explanation:

The area of a rectangle is length time width.

A=LW

In this case,

A=32x^2+12

W=4x

Solve for L

L=A/W

Substitute

L=(32x^2+12)/4x

L=(8x^2+3)/x

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mrs_skeptik [129]
For your first question the answer is C(-2) and your next question the answer is A(-28)
8 0
3 years ago
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Find the value of below algebriac expression for x=2,y=-1 and z=2 i. 4x2−3y2+5z24x2−3y2+5z2 ii. 3x3−2x(4yz+5x2)3x3−2x(4yz+5x2) i
Advocard [28]

Answer:

i. 33

ii. 1488

iii. 65

Step-by-step explanation:

i. 4x² − 3y² + 5z²

Putting the values x=2, y=-1 and z=2

4(2)² − 3(-1)² + 5(2)²

4×4 − 3×(1)² + 5×(4)

(16) -  (3×1) + (20)

16 -  3+ 20

36 - 3

33

ii. 3x³ − 2x(4yz+5x²)

Putting the values x=2, y=-1 and z=2

[3(2)³ − 2×2(4×(-1)×2 + 5×(2)²)]

[3(8)³ − 2×2(-8 + 5×4)]

[3 ×512 -  2×2(-8 +20)]

[1536 - 4(12)]

[1536 - 48]

1488

iii. 1−4x(yz+3xy)

Putting the values x=2, y=-1 and z=2

[1 - 4 × 2((-1)×2 + 3×2×(-1))]

[1- 8(-2 + (-6))]

[1- 8 (-2 -6)]

[1 - 8(-8)]

[1 +64]

65

8 0
3 years ago
2 angles are supplementary. The measure of one angle is one-third of the other. Find the measure of BOTH angles.
morpeh [17]

Answer:

45° and 135°

Step-by-step explanation:

let one angle be "x" and the other be "y"

Angles which are supplementary total to 180°. This can be represented with the equation:

x + y = 180

If angle "x" is a third of angle "y", the situation is represented with this equation:

(1/3)x = y

Since fractions are difficult to work with, multiply the whole equation by 3.

(1/3)x = y   <= X 3

x = 3y

Use the equations x+y=180 and x=3y.

You can substitute x=3y into x+y=180.

x + y = 180

(3y) + y = 180    <=combine like terms

4y = 180   <=isolate y by dividing both sides by 4

y = 45

Substitute y=45 itno the equation x+y=180 to find x.

x + y = 180

x + 45 = 180   <=isolate x by subtracting 45 from both sides

x = 135

Therefore the angles are 45° and 135°.

5 0
3 years ago
Read 2 more answers
Simplify completely 12x^3-4x^2+8x/-2x<br> PLEASE HELP
Amiraneli [1.4K]
The answer is 12x^3-4×^2-4
4 0
3 years ago
What single decimal multiplier would you use to increase by 10% followed by a 16% decrease?
Neko [114]
So a decrease of 16% followed by an increase of 14% is the same as multiplying by 0.9576 (which is a decrease of 4.24%)
7 0
2 years ago
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