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3 years ago

Through (-3, 2) parallel to y = -2x-1

Mathematics

1 answer:

Slav-nsk [51]3 years ago

3 0

Answer:

y = - 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - 1 ← is in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes , then

y = - 2x + c ← is the partial equation

To find c substitute (- 3, 2 ) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = - 2x - 4 ← equation of parallel line

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Answer:

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Step-by-step explanation:

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3 years ago

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AleksAgata [21]

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3 years ago

What is :<br><br>(49^x)(7^x^2)=2401^2

ludmilkaskok [199]

$(49^x)(7 ^{x^2})=2401^2 \\ \\( (7^2)^x)(7 ^{x^2})= (7^4) ^2 \\ \\ 7 ^{2x}\cdot 7^{x^2}=7^{8} \\ \\ 7 ^{2x+x^2} =7^{8} \\ \\2x+x^2 =8$

$x^2-2x-8 = 0\\ \\ a=1, \ b=-2, \ c=-8 \\ \\\Delta =b^2-4ac = (-2)^2 -4\cdot1\cdot (-8) = 4 +32 =36 \\ \\x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{2-\sqrt{36}}{2 }=\frac{ 2-6}{2}=\frac{-4}{2}=-2 \\ \\x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{2+\sqrt{36}}{2 }=\frac{ 2+6}{2}=\frac{8}{2}= 4 \\ \\Answer: \ x=-2 \ \ or \ \ x=4$

7 0

3 years ago

Read 2 more answers

-7x - 8y = 9 4x -9y = 22

umka21 [38]

Answer:

x=1 and y=−2

Step-by-step explanation:

Multiply the first equation by 9,and multiply the second equation by -8.

9(−7x−8y=9)

−8(4x−9y=22)

Becomes:

−63x−72y=81

−32x+72y=−176

Add these equations to eliminate y:

−95x=−95

Then solve−95x=−95for x:

−95x

−95

(Divide both sides by -95)

x=1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−7x−8y=9

Substitute1forxin−7x−8y=9:

(−7)(1)−8y=9

−8y−7=9(Simplify both sides of the equation)

−8y−7+7=9+7(Add 7 to both sides)

−8y=16

−8y

−8

(Divide both sides by -8)

y=−2

8 0

3 years ago

If twice a number is increased by 5 and this sum is multiplied by -3, the result is -57 . What is the number?

cupoosta [38]

Set it up like this, going from words on the page to letters and variables:
-3(2x+5) = -57. Twice a number is 2x, increased by 5 is 2x+5, and that is multiplied by -3 to get a total of -57. Distribute the -3 into the parenthesis to get -6x - 15 = -57. Move the 15 over by addition to get -6x = -42. Divide both sides by -6 to get that x = 7

6 0

3 years ago