Answer:
x=4
Step-by-step explanation:
2x=8
÷2
x=4
if you want a fraction then 4/1 which is the same thing as saying 4
So hmm notice the picture below
so V = l*w*h
thus
solve for "h"
Answer:
(1, 14)
Step-by-step explanation:
To find the vertex, complete the square.
First, factor out the leading coefficient from the first two terms:
y = -2 (x² − 2x) + 12
Now take half of the second coefficient, square it, and add and subtract the result:
(-2/2)² = 1
y = -2 (x² − 2x + 1 − 1) + 12
Factor the perfect square:
y = -2 ((x − 1)² − 1) + 12
Distribute:
y = -2 (x − 1)² + 2 + 12
y = -2 (x − 1)² + 14
So the vertex is (1, 14).
Hello from MrBillDoesMath!
Answer:
x = 5 * sqrt(2)
5 = y
Discussion:
First thing: the hypotenuse is the side opposite the right (90 degree) angle. So it is side x NOT side y as shown in your diagram.
The triangle is a 45-45-90 triangle so
tan(45) = y/5 => as tan(45) = 1
1 = y/5 => multiply both sides by 5
5 = y
If you don't care for the trig approach, since it's a 45-45-90 triangle the length of the legs are that same, i.e y = 5
Also sin(45) = y/x => as y = 5
sin(45) = 5/x => as sin(45) = sqrt(2)/2
sqrt(2)/2 = 5/x => multiply bot sides by x
x* sqrt(2)/2 = 5/x * x = 5 =>
x* sqrt(2)/2 = 5 => divide both sides by sqrt(2)/2
x = 5 * (2/sqrt(2))
x = 5 * sqrt(2)
Or if you don't care for the trig approach, simply apply the Pythagorean theorem ( 5^2 + 5^2 = x^2) and solve for x
Thank you,
MrB
<h2>D. <u>4</u><u>1</u><u>2</u><u>.</u><u>5</u><u> </u><u>inches</u></h2>
correct me if I am wrong
