Answer:
They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.
Step-by-step explanation:
Let the charge of washing a car be 'x'.
And also let the charge of vacuuming a car be 'y'.
Now according to question, Trisha raised $38 washing 5 cars and vacuuming 4 cars.
So framing the above sentence in equation form, we get;
Again according to question, Byron raises $28 by washing 4 cars and vacuuming 2 cars.
So framing the above sentence in equation form, we get;
Now multiplying equation 2 by '2', we get;
Now we subtract equation 1 from equation 3 and get;
Now substituting the value of 'x' in equation 1, we get;
Hence They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.
f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.
, written in vertex form is
, where (h, k) = (-1, -11)
Therefore, range ={y|y ≥ -11}
Solving a system of linear equations, we conclude that the measure of side Z is 2√13
<h3>How to find the measure of side Z?</h3>
Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.
In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.
x^2 = y^2 + 4^2
z^2 = y^2 + 9^2
(4 + 9)^2 = z^2 + x^2
We want to solve that for z.
Now, the second equation can be rewritten to:
y^2 = z^2 - 9^2
Now let's replace the first equation into the third one, so we get:
(4 + 9)^2 = z^2 + (y^2 + 4^2)
Now we can replace y^2 by z^2 - 9^2
(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)
Now we can solve this:
(13)^2 = z^2 + z^2 - 9^2 + 4^2
(13)^2 + 9^2 - 4^2 = 2*z^2
104/2 = z^2
52 = z^2
√52 = z
√(4*13) = z
√4*√13 = z
2√13 = z
We conclude that the measure of side Z is 2√13
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
A) -6a = 36
Divide both sides by -6 so that (a) is isolated.
a = -6
Check by plugging in -6 for a.
-6a=36
-6(-6)=36
36=36
So, a=-6
B) -9d=-72
Divide both sides by -9.
d = -72/-9
d = 8
Check work by plugging in 8 for d.
-9d=-72
-9(8)=-72
-72=-72
So, d=8
~Hope I helped!~
Answer:
EH
Step-by-step explanation:
All you have to do is look at the order of the letters/segments and line them up. Like:
ABCD
EFGH
AB AND EF ARE PROPORTIONAL.
