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2 years ago

Enter an equation in slope-intercept form for the line below. 4x +y = 2 Y=?

Mathematics

2 answers:

Masteriza [31]2 years ago

8 0

Answer:

y = -4x + 2

Step-by-step explanation:

$4x+y=2\\\\4x-4x+y=2-4x\\\\y=2-4x\\\\\boxed{y=-4x+2}$

Hope this helps.

Vladimir [108]2 years ago

7 0

Answer:

y=2-4x

Step-by-step explanation:

move 4X to the other side and change the sign from plus to mines

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Find all of the points on the y-axis that are twice as far from (-6,0) as they are from (sqrt3,0)

mario62 [17]

I honesty dont know LOL

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2 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

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3 years ago

How much string is out if a kite is 100 feet above the ground and the string makes an angle of 65° with the ground?

olasank [31]

You have a right triangle situation here, and what you are looking for is the length of the hypotenuse. The leg perpendicular to the ground is 100, and the base angle that is NOT the right angle, is 65. So your equation is set up like this: sin 65 = 100/x. Rearrange that a bit to get x alone: x = 100/ sin 65. Make sure your calculator is in degree mode and solve for x. x = 110.34 feet of string.

5 0

2 years ago

20 points helppppp which pair shows equivilent fractions

skelet666 [1.2K]

Answer:

Third

Step-by-step explanation:

First would be, simplified, 2x+10=2x-10

Second, simplified, -2x-10=2x-10

Third, simplified, -2x-10=-2x-10

Fourth, simplified, -2x+10=2x-10

So it's third :)

hope this helps :D

4 0

2 years ago

Read 2 more answers

Which expression can be substituted for y in the top equation of the

maria [59]

Answer:

Y=7+3x, x=-3, y=-2

Step-by-step explanation:

3x-5y=1. Equation 1

3x-y=-7. Equation 2

-y=-7-3x isolate for y in equation 2

y=7+3x multiplied by -1 to get positive y

3x-5(7+3x)=1 substitute y value of equation 2 (7+3x) into equation 1

3x-35-15x=1

-12x=36

x=-3

solve for y.

3x-5y=1

3(-3)-5y=1

-9-5y=1

-5y=10

y=-2

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2 years ago