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Yanka [14]
3 years ago
9

1. What is the simplified form of (x-3)/(x^2+x-12)• (x+4)/(x^2+8x+16) ?. . 2.What is the simplified form of (x+1)/(x^2+x-6) divi

ded by (x^2+5x+4)/(x+3)?. . 3.What is the simplified form of (y)/(y^2-x^2) – (x)/(y^2-x^2) ?. . 4. What is the simplified form of (2)/(x^2-x) - (1)/(x) ?. .
Mathematics
1 answer:
WARRIOR [948]3 years ago
7 0
To simplify an equation like this you must factor out the binomial equation and proceed in cancellation of the same equation.
1. (x-3)/(x-3)(x-4) answer is (x-4)
2.the simplified form after the cancellation is 1/(x-2)(x+4)
3.y+x
4.2x-1/x
I hope i answered your questions correctly
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I’ve never been so confused, this is due in a few minutes, pls help if you can!
algol13

Given:

m(ar QT) = 220

m∠P = 54

To find:

The measure of arc RS.

Solution:

PQ and PT are secants intersect outside a circle.

<em>If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$\Rightarrow \angle P = \frac{1}{2} (m \ ar (QT) - m \ ar (RS ))

$\Rightarrow 54 = \frac{1}{2} (220- m \ ar (RS ))

Multiply by 2 on both sides.

$\Rightarrow 2 \times 54 = 2 \times  \frac{1}{2} (220- m \ ar (RS ))

$\Rightarrow 108= 220- m \ ar (RS )

Subtract 220 from both sides.

$\Rightarrow 108-220= 220- m \ ar (RS )-220

$\Rightarrow -112= -m \ ar (RS )

Multiply by (-1) on both sides.

$\Rightarrow (-112)\times(-1)= -m \ ar (RS )\times(-1)

$\Rightarrow 112= m \ ar (RS )

The measure of arc RS is 112.

6 0
3 years ago
let -5 represent the changes in gas every hour.Which expression represents th etotal change in gas after 6 hours
Amanda [17]

Answer:

Changes in gas equals -5 times 6

After six hours the changes in gas were -30

Step-by-step explanation:

3 0
2 years ago
Delaney bought a crate for her puppy when it was 3 months old. The crate is in the shape of a rectangular prism. Since the puppy
Alika [10]

Answer:

The volume of the new crate is exactly 174.4% of the old crate.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism of dimensions x, y and z is given by:

V = xyz

She decided that the dimensions of the new crate needs to be increased by 40% of the original length.

Each dimension is increased by 40%, which means that each is multiplied by 1 + 0.4 = 1.4. So

V = 1.4x(1.4y)(1.4z) = (1.4)^3(xyz) = 2.744(xyz)

Percentage:

The new volume is 2.744 the original volume. Considering the original volume is 100% = 1, it increased by 2.744 - 1 = 1.744 = 1.744*100% = 174.4%.

The volume of the new crate is exactly 174.4% of the old crate.

7 0
3 years ago
Evaluate : 9⁴xa⁷b⁴/ 3⁵xa⁴b⁴ ​
hjlf

Answer:

27a³

Step-by-step explanation:

9⁴xa⁷b⁴ / 3⁵xa⁴b⁴

(3²)⁴xa⁷b⁴ / 3⁵xa⁴b⁴

3⁸xa⁷b⁴ / 3⁵xa⁴b⁴

3³a³

27a³

7 0
3 years ago
The question is:
Naddik [55]

Answer:

2.5 gallons of the 20% solution must be replaced by the 36% solution.

Step-by-step explanation:

.12(20 - x) + .36x = 20(.15)

2.4 - .12x + .36x = 3

2.4 - .24x = 3

- .24x =  - .6

.24x = .6

x = 2.5

7 0
2 years ago
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