Let m and c represent constante, with m nonzero. What is the equation of the line perpendicular to y=m(x+c) and would try the sa
1 answer:
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Answer:
<em>D. y=-3x</em>
Step-by-step explanation:
<u>Direct Proportion</u>
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
Where k is the constant of proportionality.
Solving for y:
y=kx
The only choice representing a direct proportion is:
D. y=-3x
Answer:
f(x) = 0.5x + 2
f(x) = 1/2x + 2
y - 3 = 1/2(x - 2)
y - 1 = 0.5(x + 2)
Step-by-step explanation:
In the figure attached, the graphed line is shown.
The missing options are:
<em>f(x) = 0.2x - 4 </em>
<em>f(x) = 0.5x + 2 </em>
<em> f(x) = 1/2x + 2 </em>
<em> y – 3 = 1/2(x – 2) </em>
<em> y – 1 = 0.5(x + 2)</em>
From the picture, we can see that points (0, 2) and (2, 3) are on the line. Then, the slope of the line is:
m = (3 - 2)/(2 - 0) = 1/2 = 0.5
The y-intercept is (0, 2), or b = 2
Therefore, in the slope y-intercept form, the equation is:
f(x) = mx + b
f(x) = 1/2x + 2 = 0.5x + 2
In the point-slope form, the equations is:
y - y1 = m(x - x1)
y - 3 = 1/2(x - 2)
Using point (-2, 1), in the point-slope form, the equation is:
y - y1 = m(x - x1)
y - 1 = 0.5(x + 2)
Answer:
The expressions that completely factored are:
= 8(
) ⇒ 2nd
⇒ 4th
Step-by-step explanation:
Complete factorization means the terms in the bracket has no common factor
∵ The expression is 18y³ - 6y
- Find the greatest common factor of the numbers and the variable
∵ The greatest common factor of 18 and 6 is 6
∵ The greatest common factor of y³ and y is y
∴ The greatest common factor is 6y
- Divide each term by 6y to find the terms in the bracket
∴ 18y³ - 6y = 6y(3y² - 1) ⇒ not the same with the answer
∵ The expression is
∵ The greatest common factor of 32 and 24 is 8
∴ The greatest common factor is 8
- Divide each term by 8 to find the terms in the bracket
∴ = 8(
) ⇒ the same with the answer
∴ The expression = 8(
) is completely factored
∵ The expression is
∵ The greatest common factor of 20 and 10 is 10
∵ The greatest common factor of and y² is y²
∴ The greatest common factor is 10y²
- Divide each term by 10y² to find the terms in the bracket
∴ ⇒ not the same with the answer
∵ The expression is
∵ The greatest common factor of 16 and 12 is 4
∵ The greatest common factor of and y³ is y³
∴ The greatest common factor is 4y³
- Divide each term by 4y³ to find the terms in the bracket
∴ ⇒ the same with the answer
∴ The expression is completely factored
The expressions that completely factored are:
= 8(
)