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lisov135 [29]
2 years ago
7

Determine the y-intercept of 5x-6y=10

Mathematics
2 answers:
Tema [17]2 years ago
6 0

Answer:

The y intercept of the equation is 10.

nignag [31]2 years ago
3 0
Answer: -5/3

Let’s first rewrite the equation

5x-6y=10

Now we need to turn this into y=mx+b form. As the equation suggests, we need to first get y alone on the left side. We’ll do this by subtracting 5x on both sides

5x-6y=10
-5x -5x
__________
-6y=-5x+10

Now we need to get y by itself. Since it is being multiplied by -6, let’s divide each number by -6.

-6y=-5x+10

-6y/-6=-5x/-6+10/-6

y=5/6x-10/6

y=5/6x-5/3

When returning to the model equation y=mx+b, b is the y-intercept. This means that whatever is in its place will be the same thing. In our formed equation, 5/3 is in the place of b. This is your answer!

Hope this helps comment below for more questions :)

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4*5+12

Step-by-step explanation:

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Write the equation of a line Parallel to the given line and passes through points (-4, -3); (2, 3). Hints find the slope by usin
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First, we obtain the gradient (slope) of the first parallel line

\text{gradient, m}_1\text{ = }\frac{y_2-y_1}{x_2-x_1}\text{ = }\frac{3-(-3)}{2-(-4)}=\frac{6}{6}\text{ = 1}

Recall that since both lines are parallel, we have that,

m_1=m_2

Thus

m_2\text{ = 1}

Hence, we can find the equation of the parallel line given that it passes through the points (-4, -3)

Using

\begin{gathered} y\text{ = mx + c} \\ \text{where m = m}_2\text{ = 1} \\ \text{and x = -4 ,  y = -3, we have} \\ -3\text{ = 1(-4) + c} \\ -3\text{ = -4 + c} \\ 4\text{ - 3 = c} \\ c\text{ = 1} \\ \text{Thus, the equation of the line is y = (1)x + 1} \\ y\text{ = x + 1} \end{gathered}

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1 year ago
When x^3 + kx^2 − 4x + 2 is divided by x + 2 the remainder is 26, find k.
Elis [28]

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k = 6

Step-by-step explanation:

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2 years ago
Simplify <br>99=2(-7b-3)+7​
Arisa [49]

Answer:

b=-7

Step-by-step explanation:

Simplifying

99 = 2(-7b + -3) + 7

Reorder the terms:

99 = 2(-3 + -7b) + 7

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99 = (-6 + -14b) + 7

Reorder the terms:

99 = -6 + 7 + -14b

Combine like terms: -6 + 7 = 1

99 = 1 + -14b

Solving

99 = 1 + -14b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '14b' to each side of the equation.

99 + 14b = 1 + -14b + 14b

Combine like terms: -14b + 14b = 0

99 + 14b = 1 + 0

99 + 14b = 1

Add '-99' to each side of the equation.

99 + -99 + 14b = 1 + -99

Combine like terms: 99 + -99 = 0

0 + 14b = 1 + -99

14b = 1 + -99

Combine like terms: 1 + -99 = -98

14b = -98

Divide each side by '14'.

b = -7

Simplifying

b = -7

5 0
3 years ago
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<img src="https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%200%20%28%5Cfrac%7Bx%28x-2%29%7D%7B2-2e%5E2x%7D%20%29" id="TexFormula1" ti
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Answer: 0

Step-by-step explanation:

Substituting in x=0, we get

\frac{0(0-2)}{2-2e^{2}(0)}=0

7 0
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