X = 35
use the formula a^2 + b^2 = c^2 in order to find the hypotenuse, which is x.
21^2 + 28^2 = c^2
441 + 784 = c^2
1225 = c^2
35 = c
x = 35
y = mx + b, where m = slope, and b = y-intercept.
y = 3x + 3
y = 1/2x - 3
y = 1/2x + 3
y = 3x + 1/2
we can eliminate 2 and 4 since the y-intercept in the graph is shown as (0, 3)
This leaves us with
y = 3x + 3 and y = 1/2x+3
m = change in y / change in x
We take any two points on the line to find the slope.
I chose (2, 4), (0, 3)
change in x: 2 - 0 = 2
change in y: 4 - 3 = 1
m = 1/2
This leaves us with the only answer that has the slope of 1/2 and the y-intercept of 3.
option: 3
y = 1/2x + 3
Answer: The correct answer is: [D]: "8" .
Step-by-step explanation:f y varies inversely with x; then y = k/x ; with "k" being the "constant" in this equation.
You can find the constant by substituting the values given: x = 16, f(x) = y = 2 ;
So, f(x) = y = 2 = k/16 ;
→ 2 = k / 16 ;
Solve for the constant; "k" ;
Multiply EACH SIDE of the equation by "16"
→ 16* (2) = (k / 16) * 16 ;
→ 32 = k ;
↔ k = 32 ;
As such, we can write the equation:
y = k/ x ; as:
→ y = 32/ x ;
Since we are given: "x = 4" ; Plug in that value; and solve for "y" ;
y = 32/4 = 8 .
y = 8 .
y = f(x) ;
So; f(x) = 8 ; which is: Answer choice: [D]: "8" .
Answer:
Step-by-step explanation:
1. This paragraph describes an observational study.
It is not a controlled experiment because the guidance counselors didn't plan to separate the students into 2 groups and then observe the results. They instead checked records.
2. The students who took Latin are the treatment group.
3. The fact that students decided on their own to take Latin is a confounding factor.
4. The students who did not take Latin are the placebo or control group.
