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4 years ago

Find the equation of a line that is perpendicular to y=−12x−1 and passes through the point (3,2).

Mathematics

1 answer:

Afina-wow [57]4 years ago

4 0

Answer:

y = (1/12)*x + 7/4

Step-by-step explanation:

y=−12x−1

Perpendicular line:

y = a*x + b

y = (1/12)*x + b

2 = (1/12) * 3 + b

2 = (3/12) + b

2 = 1/4 + b

2 - 1/4 = b

7/4 = b

Perpendicular line:

y = (1/12)*x + 7/4

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3 years ago

Three times the sum of half carlita's age and 3 is at least 12 .what values represent carlita's possible age? Graph the solution

Naya [18.7K]

Answer:

18 years

Step-by-step explanation:

let catrinas age be c

3(c/2)+3=12

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3 years ago

Write the following in exponential form 10,000x10

EleoNora [17]

Answer:

1.0 x 10⁵

Step-by-step explanation:

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7 0

4 years ago

Given that a^b = x, evaluate the following: 2a^3b +a^2b +a^b

8090 [49]

Answer:

2x^3 + x^2 + x

Step-by-step explanation:

For ...

$a^{b}=x$

The expression ...

$2a^{3b}+a^{2b}+a^{b}$

can be rewritten as ...

$2(a^{b})^3+(a^b)^2+(a^b)=2x^3+x^2+x$

5 0

3 years ago

Can I get some help?

ruslelena [56]

Answer:

y = 4x - 9

Step-by-step explanation:

The points on the graph we can see clearly are (1, -5) and (2, -1).

The equation of the line is in the form slope-intercept, where the general formula is y = mx + b.

We need to find "m", the slope of the line; and "b", the y-intercept.

Use the two points we found in the formula for calculating slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

Choose which is point 1 and point 2:

Point 1 (1, -5) x₁ = 1 y₁ = -5

Point 2 (2, -1) x₂ = 2 y₂ = -1

Substitute x₁, x₂, y₁, and y₂

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{-1-(-5)}{2-1}$ Solve in the numerator and denominator

$m=\frac{4}{1}$ Simplify the fraction

$m=4$ Slope of the line

Find "b":

Substitute a point's "x" and "y" coordinates, and the slope, "m", into the general formula for slope-intercept.

I will use point 2:

x = 2; y = -1; m = 4

y = mx + b

-1 = (4)(2) + b Multiply

-1 = 8 + b Start isolating "b"

-1 - 8 = 8 - 8 + b Subtract 8 from both sides

-1 - 8 = b "b" is isolated

b = -9 Answer for "b", y-intercept.

The variable should be on the left side for standard formatting.

Take the general formula: y = mx + b

Replace "m" and "b" with the values we found.

y = 4x - 9

8 0

3 years ago