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Nookie1986 [14]

2 years ago

9

The graph of which of the following will be parallel to the graph of 4x – 3y = –12?

1 answer:

Fudgin [204]2 years ago

8 0

First, we need to write the equation into the form y=mx + b which is as follows:

<span>4x – 3y = –12
y = (4/3)x + 12

For an equation to be parallel, they should have the same slope. For this case, the slope should be 4/3. I believe the correct answer is option A. </span>The graph of y=4/3x - 3/2 <span>will be parallel to the graph of 4x – 3y = –12.</span>

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Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.

musickatia [10]

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²

3 0

2 years ago

Geometry question!!

Mademuasel [1]

Answer:

GQ=25 units

Step-by-step explanation:

we know that

Point Q is the midpoint of GH

so

GH=GQ+QH and GQ=QH

GH=2GQ -------> equation A

we have

GH=5x-5

GQ=2x+3

substitute in the equation A and solve for x

5x-5=2(2x+3)

5x-5=4x+6

5x-4x=6+5

x=11

Find the length of GQ

GQ=2x+3

substitute the value of x

GQ=2(11)+3

GQ=25 units

4 0

3 years ago

When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n +1/5 n = 24. What is the v

Lady_Fox [76]

For this case we must find the value of n of the following equation:

$n + \frac {1} {5} n = 24$

Taking common factor "n" from the left side of the equation we have:

$n (1+ \frac {1} {5}) = 24\\n \frac {6} {5} = 24$

Multiplying by 5 on both sides of the equation:

$6n = 120$

Dividing between 6 on both sides of the equation:

$n = 20$

Thus, the value of n is 20.

Answer:

$n = 20$

7 0

3 years ago

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Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6.

Sophie [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

using Sine Law,

$\frac{sinA}{a}=\frac{sinB}{b}$

$\frac{sin30}{4}=\frac{sinB}{6}$

$sinB=0.75$

$angle B = 48.6$

Another angle will be

$angle B' = 180-48.6 = 131.4$

considering angle B, angle C = $180 - (48.6+30)=101.4$

considering angle B', angle C' = $180-(131.4+30)=18.6$

$\frac{sinA}{a}=\frac{sinC}{c}$

$\frac{sin30}{4}=\frac{sin101.4}{c}$

$c = 7.84$

Similarly, finding c'

$\frac{sinA}{a}=\frac{sinC'}{c'}$

$\frac{sin30}{4}=\frac{sin18.6}{c'}$

$c'=2.55$

Hence two triangles are possible with below details: : Answer

A = 30, B = 48.6, C = 101.4, c = 7.84

A = 30, B' = 131.4, C' = 18.6, c' = 2.55

Hope it will help :)

5 0

2 years ago

A furniture store had a chair that cost $33. After a few months the owner took 12 percent off the price. How much is the chair n

zhannawk [14.2K]

Answer:

$29.04

Step-by-step explanation:

5 0

3 years ago

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