Answer:
Step-by-step explanation:
Equation of blue line:
blue line is parallel to y-axis
⇒ x = 5
Equation of green line:
Green line is parallel to x-axis.
y = 2
Equation of red line:
At y-intercept x = 0. Point on red line is (0,5)
So, y-intercept = 5
y = mx + b Here, m is slope any b is y-intercept.
y = mx + 5
Now, choose any other point in red line. ((1,7)
Substitute this value in the above equation and we can find m
7 = m*1 + 5
7 - 5 = m
m = 2
y = 2x + 5
Equation of black line:
Black line and red line are parallel and so, they have same slope.
y = 2x + b
y-intercept (0,-6) ; b = -6
y = 2x - 6
Answer:
12
Step-by-step explanation:
f(x) = 2x^2 - 5x
Let x=4
f(4) = 2 (4)^2 -5(4)
Exponents first
= 2*16 -5*4
Multiply
=32 -20
subtract
=12
U = - 4 i + 1 j
v = 4 i + 1 j
| u | = √ (-4)² + 1² = √ 17
| v | = √4² + 1² = √ 17
| u + v | = √(u + v)²=
= √( u² + 2 u v + v² )= ...
cos ( u, v ) = (-16+1) / (|u| |v|) = -15/17
...= √(17 + 2 · √17 · √17 · ( -15/17) +17) =
= √ 34 - 30 = √ 4 = 2
Answer: C ) 2
Answer: D
Step-by-step explanation:
Substitute values for x until they all work.
A. y = 2 x 2 + 5 = 9 fail
B. y = 2 x 2 - 6 = -2 fail
C. y = -2 x 2 - 5 = -9 fail
D. y = -0.5 x 2 - 5 = -6 ok
y = -0.5 x 5 - 5 = -7.5 ok
y = -0.5 x 6 - 5 = -8 ok
