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3 years ago

13

What is the equation of the line that contains point (6, 4) and is parallel to line m?

1 answer:

9966 [12]3 years ago

3 0

Answer:

d?.............................

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The line of best fit for a scatter plot is shown:

alex41 [277]

In the slope intercept form, b represents the y intercept.
y = mx +- b

Therefore, if the y intercept is at 6, the formula of the line will look like
<span>y=mx + 6
</span>
This eliminates the first two options,
$y = -6x + \frac{3}{4} 
$
and
$y=6x + \frac{3}{4}$

and leaves behind
$y= - \frac{3}{4} +6$
and
$y= \frac{3}{4} x+6$

Since the line you indicated is sloping downwards towards the lower right hand corner. It must have a negative slope.

Therefore, the answer must be the 3rd option.

<span> $y= - \frac{3}{4} +6$ </span>

8 0

4 years ago

The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

kompoz [17]

Answer:

$h = 12$

$x = 9$

$y= 16$

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

$A = \frac{1}{2} * 300$

$A = 150$

Let the base of the triangle be 25.

So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

$\frac{1}{2}*25h = 150$

Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

$y= 16$

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3 years ago

Each wheel on a car has a diameter of 22 inches.

ch4aika [34]

I think it will be 69.08

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3 years ago

Jack broke apart 5x216 as (5x200) + (5x16) to multiply mentally.What strategy did Jack use?

777dan777 [17]

D. The distributive property That is what jack used

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4 years ago

A cube with each face a different colour will fit exactly into a box in which it is packaged. In how many ways can the cube be p

dmitriy555 [2]

Answer:

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3 years ago