Answer:
7.9
Step-by-step explanation:
Multiply both sides of the equation by 11. This cancels out the fraction so 11 * 5/7 = x
lmk if I misunderstood the question or need to elaborate
Answer: Choice C
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
===========================================
Explanation:
When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so
f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5
f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5
f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.
The reason why we replace every x with -x is because of the examples mentioned below
-----------
Examples:
The point (1,2) moves to (-1,2) after a y axis reflection
Similarly, (-5,7) moves to (5,7) after a y axis reflection.
As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.
The correct answer is: A. 150 more students tickets sold than adult tickets.
Answer:
B
D
C
C
C
Step-by-step explanation:
There you go, have a good day
Answer:
x = 15.8114
Step-by-step explanation:
The complete question is:
"The problem is asking for value of x. Two right triangles side by side, the altitude is 9. The bottom of whole triangle is 25. One side is 15 and the other side is x. What is the value of x?"
Solution:-
- Develop a diagram for the information given " Two right triangles side by side" The altitude i.e height (common to both triangle ) = 9. The total base length of both triangles is = 25. One side is 15 and other side is x.
x
x x x
x x x
x x x
x x x x = ?
x x x
15 x x x
x x 9 x
x x x
x x x
x x x
x x x
x x x
B x x x x x x x x x x x x x x x x x x x x x x x C
y D 25-y
- We will first determine the value of "y" using the left hand side triangle and apply pythagorean theorem. Where, H = 15 , P = 9 , B = y.
H^2 = P^2 + B^2
15^2 = 9^2 + y^2
y = √(225 - 81 )
y = 12
- Now we can use the value of y and apply pythagorean theorem on right hand side triangle with sides. H = x , P = 9 , B = 25-y = 25 - 12 = 13.
H^2 = P^2 + B^2
x^2 = 9^2 + 13^2
x = √( 81 + 169 )
x = 15.8114
