HELP ASAP. Will give brainliest to correnct answer

Two cars are 750 miles apart and start moving towards each other. One car moves with the average speed of 40 mph and the other i

____ [38]

They will meet at 10:45 exactly.

5 0

2 years ago

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Find the equation of the line passing through points (-4,2) and (1,-6)

anzhelika [568]

Answer:

y + 6 = (-8/5)(x - 1) in point-slope form

Step-by-step explanation:

Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8. Thus, the slope of the line through these two points is m = rise / run = -8/5

Now we have two points on the line, plus the slope. Let's write out the point-slope formula for the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

Here, using the point (1, -6), we obtain:

y + 6 = (-8/5)(x - 1) in point-slope form

8 0

2 years ago

Kierston needs to paint a wall of the youth center. She knows that 1 can of paint covers an area of 2.2 square meters. Kierston

Step2247 [10]

Answer:

See Explanation

Step-by-step explanation:

Given

$1\ can = 2.2m^2$

Required

Determine the number of cans for the wall

The dimension of the wall is not given. So, I will use the following assumed values:

$Length=20m$

$Width = 44m$

First, calculate the area of the wall

$Area = Length * Width$

$Area = 20m * 44m$

$Area = 880m^2$

If $1\ can = 2.2m^2$

Then $x = 880m^2$

Cross Multiply:

$x * 2.2m^2 = 1 * 880m^2$

$x * 2.2m^2 = 880m^2$

$x * 2.2 = 880$

Make x the subject

$x = \frac{880}{2.2}$

$x = 400$

400 cans using the assume dimensions.

So, all you need to to is, get the original values and follow the same steps

4 0

2 years ago

7x + 2y = 24<br>8x + 2y = 30

bagirrra123 [75]

(8x + 2y) - (7x + 2y) = 30 - 24

X = 6

5 0

3 years ago

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Find an equation of the circle and sketch it if it has: Center on y=4, tangent x-axis at (–2, 0)

Digiron [165]

Answer:

$(x+2)^2+(y-4)^2=16$

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is $4$ .

We know that the circle is tangent to the $X$ axis at $(-2,0)$

That means the x coordinate of the center has to be $-2$ , as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is $(-2, 4)$ and a point on the edge of the circle (the tangent point) which is $(-2,0)$ . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius. When we put the numbers in: we get $(x-(-2))^2+(y-(4))^2=4^2$ which can be simplified into $(x+2)^2+(y-4)^2=16$ which is the answer.

Step-by-step explanation:

4 0

2 years ago