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2 years ago

Write a linear equation that is perpendicular to y=-4x-6 and passes through the point (4,10).

Mathematics

2 answers:

NeTakaya2 years ago

8 0

Answer:

1/4x+9

Step-by-step explanation:

Nata [24]2 years ago

7 0

The equation we look for must have a slope that is the inverse reciprocal of -4. The inverse reciprocal always leads to -1 when multiplied by the given slope.

Let's see: -4(1/4) = -1.

Yep. The slope of the equation we need to find is 1/4.

Use the point-slope formula to find your equation.

Point-slope: y - y_1 = m(x - x_1), where m is the slope, y_1 is the y-coordinate of the given point and x is the x-coordinate of the given point.

We now plug, chug and isolate y.

Ready?

y - 10 = (1/4)(x - 4)

y - 10 = (1/4)x -1

y = (1/4)x - 1 + 10

Your equation is y = (1/4)x + 9.

Did you understand?

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Given and which statement is correct? AB = FD AB < FD AB > FD AB ≤ FD

mojhsa [17]

Side AB is longer than side FD. Option (b) is correct.

Further explanation:

Given:

The options area as follows,

(a). $\overline {{\text{AB}}}$ and $\overline {{\text{FD}}}$ are the same length.

(b). $\overline {{\text{AB}}}$ is longer than $\overline {{\text{FD}}}.$

(c). $\overline {{\text{AB}}}$ is shorter than $\overline {{\text{FD}}}.$

(d). ${\text{AB}} \leqslant {\text{FD}}$

Explanation:

The sides opposite to equal angles are equal.

The side opposite to greater angle is greater than the other one.

The measure of $\angle {\text{DEC}}$ is ${65^ \circ }.$

The measure of $\angle {\text{BCA}}$ is ${72^ \circ }.$

$\angle {\text{BCA}}$ is greater than $\angle {\text{DEC}}$ . Therefore, the side opposite to greater angle is greater.

Side AB is longer than side FD. Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: High School

Subject: Mathematics

Chapter:Triangles

Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.

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