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Murrr4er [49]
3 years ago
8

Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x +

3y = -5.$
Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

From x + 3y = -5, y = -x/3 - 5, so the slope of the line is -1/3. The slope of the new line is also -1/3, so y = -x/3 + B.  Pugging in x = 2 and y = -7, we get -7 = -2/3 + B, so B = -19/3.

Then the line is y = -x/3 - 19/3.  Then 3y = -x - 19, so 3y + x = -19.  We want the right-hand side to be 3, so we mutiply both sides by -3/19: -9/19*y - 3/19*x = 3.  Therefore, A + B = -9/19 - 3/19 = -12/19.

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Help please I beg you​
Yakvenalex [24]

Answer:

a. x= 5

b. x=9

Step-by-step explanation:

a.

2x=10

10/2=5

x=5

b. 3x=27

27/3=9

x=9

Please mark me brainliest

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5 0
3 years ago
Read 2 more answers
The population growth of a community is modeled by the equation P (x) = 15,5580.4x + 1, where P (x) is population and x is time
beks73 [17]

Answer:

The population will be double in 0.5 years.

Step-by-step explanation:

The population growth of a community is modeled by the equation P(x) = 155580(4)^{x + 1}, where P (x) is population and x is time in years beginning with x = 0.

Therefore, the population at x = 0 will be = P(0) = 155580(4)^{0 + 1} = 622320

If the population becomes double then we can write the equation as

P(x) = 2 \times 622320 = 155580(4)^{x + 1}

⇒ 4^{x + 1} = 8

⇒ 2^{2(x + 1)} = 2^{3}

⇒ 2(x + 1) = 3 {Comparing the power terms}

⇒ x + 1 = 1.5

⇒ x = 0.5 years.

Therefore, the population will be double in 0.5 years. (Answer)

5 0
4 years ago
What is the slope of the line y<br> 5<br> X-5?
nata0808 [166]

Answer:

the slope is 5

<u><em>Please mark as brainliest </em></u>

Have a great day, be safe and healthy  

Thank u  

XD

8 0
3 years ago
Given <br> l<br> ∥<br> m<br> ∥<br> n<br> l∥m∥n, find the value of x.
lawyer [7]

Answer:

180-63= 117

Step-by-step explanation:

the lines are parallel so the opposite of x is 63. it is a straight line so it adds up to 180

4 0
2 years ago
Find the solutions. Show steps please!
san4es73 [151]

Answer:

x = 0, π/4, π, 7π/4

Step-by-step explanation:

sin(2x) = √2 sin x

Use double angle formula.

2 sin x cos x = √2 sin x

Move everything to one side.

2 sin x cos x − √2 sin x = 0

Factor.

sin x (2 cos x − √2) = 0

Solve.

sin x = 0, cos x = ½√2

x = 0, π/4, π, 7π/4

6 0
3 years ago
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