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3 years ago

HELP ASAP MATH PLS!!!!!

Mathematics

1 answer:

e-lub [12.9K]3 years ago

5 0

Answer:

Step-by-step explanation:

We know that because the second plane flies 15 miles less, it has to be either A or B, because they have -15 at the end.

It cannot be B, because in B, the second plane has a -w in the equation. However, in the word problem, the second plane flies with the wind, not against it. Therefore, it must be A.

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Find the midpoint of the segment with the following endpoints.<br> (9,6) and (5,2)

yanalaym [24]

Answer:

(7,4)

Step-by-step explanation:

to find the x value in the midpoint you add both xs and divide by 2

9+5=14

14/2 = 7 = x

to find the y value in the midpoint you add both ys and divide by 2

6+2=8

8/2=4=y

6 0

3 years ago

The equation represents the area, A, of a rectangle, in square units.<br> A=x² - x - 6

vlada-n [284]

Answer:

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Step-by-step explanation:

nolos

4 0

3 years ago

9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.

kherson [118]

Answer:

a) (7,8)

b) r = 10

c) $(x-7)^2+(y-8)^2=100$

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as $(x_m,y_m)$

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)$

$(x_m, y_m) = (7,8)$

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

in our case the equation changes to: (selecting the centre and point B)

$r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}$

$r = \sqrt{(7-17)^2+(8-8)^2}$

$r = 10$

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the

coordinates of the center: $(x_m,y_m) = (7,8)$
radius of the circle: $r = 10$

we can put this in the formula of the circle:

$(x-a)^2+(y-b)^2=r^2$

in our case the equation changes to:

$(x-x_m)^2+(y-y_m)^2=r^2$

$(x-7)^2+(y-8)^2=(10)^2$

$(x-7)^2+(y-8)^2=100$

this is the equation of the circle!

6 0

3 years ago

Using equivalent ratios to find a whole \/

Shkiper50 [21]

Answer:

Step-by-step explanation:

So there are 20 kids with brown hair and this represents 80% of the class total.

So this means 20=.8n since we don't know the total number of kids.

20=.8n

Divide both sides by .8

25=n

So 25 is the total number of kids.

C. is the answer

You could also setup this equation given that 80% is 80/100:

[tex]\frac{20}{\text{ total }}=\frac{80}{100}

To figure out what that total is there you can divide top and bottom of the fraction on right hand side by 4 which gives you the 20 on top and the 25 on bottom.

5 0

4 years ago

What is the greatest common factor of 96 and 144

Alborosie

$Greatest\ common\ factor\ is\ the\ highest\ number\ by\ witch\ 96\ and\ 144\\can\ be\ divided\\\\96:2\\48:2\\24:2\\12:2\\6:2\\3:3
\\\\144:2\\72:2\\36:2\\18:2\\9:3\\3:3\\\\GCF=2^4*3=16*3=48\\\\Greatest\ common\ factor\ of\ 96\ and\144 \ is\ equal\ to\ 48.
$

3 0

3 years ago