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2 years ago

Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable..

Mathematics

2 answers:

Vesna [10]2 years ago

4 0

The answer is 12/x-7, x ≠ 7, x ≠ −3

Softa [21]2 years ago

3 0

To simplify the expression stated, it is better to write it in the numerical form. The statement is:

quantity 12 x plus 36 over quantity x squared minus 4 x minus 21

The numerical form is:

12x+36 / (x²-4x-21)

Simplifying,
12x+36 / (x²-4x-21)
12 (x+3) / (x+3)(x-7)

We can cancel the x+3 term, leaving only:
12/(x-7)

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How to graph X = (-1/6) y

jenyasd209 [6]

Answer:

X=(-1/6)y

Step-by-step explanation:

8 0

2 years ago

Solve the equation. -2/3 (x + 3/5) = 1/2 x=

Rom4ik [11]

−
2
3
(
x
+
3
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)
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Step 1: Simplify both sides of the equation.
−
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+
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(
3
5
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−
2
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x
+
−
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5
=
1
2
Step 2: Add 2/5 to both sides.
−
2
3
x
+
−
2
5
+
2
5
=
1
2
+
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−
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x
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Step 3: Multiply both sides by 3/(-2).
(
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*
(
−
2
3
x
)
=
(
3
−
2
)
*
(
9
10
)
x
=
−
27
20
Answer:
x
=
−
27
20

6 0

2 years ago

6. All angles in the figure below are right angles. What is the area of the figure? (4 point)

jok3333 [9.3K]

Answer:

Area the figure = 45 - 9 = 36 units² ⇒ last answer

Step-by-step explanation:

"I have added screenshot of the complete question as well as the diagram"

All the angles of the figure are right angles

From the attached figure: we can find the area of the figure by subtracting the area of the cutting part from the area of the rectangle of dimensions 9 units and 5 units

∵ All the angles of the figure are right angles

∴ We can consider that the figure of dimensions 9 units and 5 units

as a rectangle

∵ Area of any rectangle A = L × H , where L, H are the dimensions

of the rectangle

∵ L = 9 units and H = 5 units

∴ Area of the rectangle = 9 × 5 = 45 units²

- The dimensions of the cutting part are 3 units and

[9 - (2 + 4) = 9 - 6 = 3 units]

∴ The cutting part is a square

∵ Area any square = S², where S is the length of the side of the square

∵ S = 3 units

∴ The area of the cutting part = 3² = 9 units²

∵ Area of the figure = area rectangle - area square

∵ Area the rectangle = 45 units²

∴ Area the square = 9 unit²

∴ Area the figure = 45 - 9 = 36 units²

5 0

2 years ago

Mhhhhhhhhhh welppp i need help

Dahasolnce [82]

Answer:

It does not pass the vertical Line test, because the vertical line test is when you put a line through a something like this circle and if it passes throug it more the once it is not a line.

Step-by-step explanation:

Hope this help.

6 0

2 years ago

Read 2 more answers

Find 3rd and 5th form by using nth term formula tn=a+(n-1)d when tn=a+(n-1)d when a=2 and d=3.

lawyer [7]

Answer:

t3 = 8, t5 = 14

Step-by-step explanation:

t3 = 2 + (3-1) × 3

t3 = 2 + (2) × 3

t3 = 2 + 6

t3 = 8

t5 = 2 + (5-1) × 3

t5 = 2 + (4) × 3

t5 = 2 + 12

t5 = 14

8 0

2 years ago