URGENTT!!!! help quick please

The area of the triangle is 42 square inches. find the value of x when a = x and b = (x+8)

damaskus [11]

Answer:

6 and -14

Step-by-step explanation:

Area of the triangle = 1/2 ab

42 = 1/2 (x)(x+8)

42 *2 = x(x+8)

84 = x²+8x

x²+8x-84 = 0

x²+14x-6x-84 = 0

x(x+14)-6(x+14) = 0

x-6 = 0 and x+14 = 0

x = 6 and -14

Hence the values of x are 6 and -14

3 0

2 years ago

Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be

Oksana_A [137]

<h2>Hello!</h2>

The answers are:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.

So,

Tet be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

$x_{FirstCar}=x_o+v*t$

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

$x_{SecondCar}=x_o+(v+14mph)*t$

Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles, so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

$RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph$

Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:

$2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours$

Writing the equation:

$264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph$

So, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

$SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph$

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

Have a nice day!

7 0

3 years ago

You have 12 CDs and choose 4 of them to play one evening. How many

e-lub [12.9K]

Answer:

3 orders of CDs

Step-by-step explanation:

So if you have 12 CDs and you are choosing 4 for one evening you get 8 more CDs for 3 evening.So what i did is 12 - 4 and it is equal to 8 CDs and You divide 4 in to 12 and it gives you 3.Your answer is 3 order of CDs because the question is asking how many order of CDs are possible for playing 4 CDs?

4 0

3 years ago

Solve (get the variable by itself): m / (-4) = -2.95

kenny6666 [7]

M / -4 = -2.95
As you can see, the variable m is currently in a fraction with a denominator of -4. So to get ride of the fraction and find m and its value, you should multiply both sides by the denominator of the fraction, which is in our case -4.
So m / -4 = -2.95
(m/-4) * -4 = -2.95 * -4
m = 11.8

You can recheck your answer (very important):
m / -4 = 11.8 / -4 = -2.95
The answer has been approved.

Hope this Helps! :)

7 0

3 years ago

Find the linear equation of the plane through the origin and the points (5,2,2) and (6,−1,1). equation:

Aleks [24]

The cross of the position vectors is
.. [5, 2, 2] × [6, -1, 1] = [4, 7, -17] . . . . . the normal vector of the desired plane

Since the origin is a point in the plane, its equation can be written as
.. 4x +7y -17z = 0

3 0

3 years ago