Answer:
g(x) = x^3 - 2
Step-by-step explanation:
As you can see on the graph, the line has been translated down 2 units.
If the graph of <em>f </em>has the same shape as the graph of <em>g</em>, then the slope remains the same. The y intercept (<em>k</em>) changes by -2 units, so the <em>k </em>value is -2
g(x) = x^3 - 2
Hope this helps!!
Answer: x = 12
Step-by-step explanation:
We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.
We know that:
cos(S) = adj cathetus/hipotenuse.
Then we have, for the triangle SRT.
Cos(S) = 9/SR.
for the big triangle, SQR, we have:
Cos(S) = SR/(9 + 16)
now we can find the quotient of those two equations and get:
cos(S)/cos(S) = 9/Sr*(9+16)/SR
SR^2 = 9*(25)
SR = 15.
Now with this side we can find the value of x.
We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:
9^2 + x^2 = 15^2
x = √(15^2 - 9^2) = 12
Make a picture of the problem.
Fred and Gwen are seated opposite each other, and we name the 4 remaining seats 1, 2, 3, 4, starting from the right of Fred.
There are 4 options for seat 1,
then 3 for the seat 2, after one is seated in the 1.st seat
2 options for the seat 3,
and 1 for the seat 4.
That is, the 4 friends can sit in 4*3*2*1=24 different ways.
Answer: 24
Answer:
10 trips
Step-by-step explanation:
He wants 23 km total, and each trip is 1 km.
He already has 13 km, so all you need to do is 23-13=10, so he needs 10 trips
The ratio of their area is 9/4
<h2>
Explanation:</h2>
We use ratios to compares values. In this exercise, we are comparing the circumference of two circles, which is:
and we want to know what is the ratio of their area. Recall that the circumference of a circle is given by:
If we define:
Then, the ratio of the circumference of two circles is 3:2 is:
The area of a circle is given by:
So the ratio of their area can be found as:
So:
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