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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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Musya8 [376]

Answer:

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Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the standard form equation of the line shown below?

ch4aika [34]

(-1,1)(1,4)
slope = (4 - 1) / (1 - (-1) = 3/(1 + 1) = 3/2

y = mx + b
slope(m) = 3/2
use either of ur points....(1,4)...x = 1 and y = 4
now sub and find b, the y int
4 = 3/2(1) + b
4 = 3/2 + b
4 - 3/2 = b
8/2 - 3/2 = b
5/2 = b

equation is y = 3/2x + 5/2...but we need it in standard form

y = 3/2x + 5/2
-3/2x + y = 5/2.....multiply both sides by -2
3x - 2y = -5 <==== ur standard form equation

3 0

3 years ago

PLEASE HELP ASAP!!!!!!!!!!! For similar triangles, the side lengths are proportional. So, you can write a proportion relating th

valentina_108 [34]

Answer:

$\frac{y}{2}=\frac{x}{1}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

The proportion is equal to

$\frac{y}{2}=\frac{x}{1}$

5 0

3 years ago

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

igor_vitrenko [27]

Answer: x= 34

Step-by-step explanation:

Given: The measurement of the angles of the quadrilateral are as

First angle=88°

Second angle=108°

Third angle= 2x°

Forth angle =(3x-6)°

Now, The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

Therefore,

$88+108+2x+(3x-6)=360\\\Rightarrow196+5x-6=360\\\Rightarrow\ 5x=360-190\\\Rightarrow\ x=\frac{170}{5}\\\Rightarrow\ x=34$

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2 years ago

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dlinn [17]

If he runs 6.5 metres per second, then you multiply 6.5 by 4 to get 26m

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3 years ago