Answer:
C
Step-by-step explanation:
You can use the formula y=mx+b
f(x) is the same as y
m=slope
b=y intercept
We know that the slope is -2 so which answer has -2 as b? (Which one has a -2 before the x?)
Y Intercept is where the line crosses though the y axis. The point of the y intercept will ALWAYS have 0 as x. So (0,4) is the y intercept. You could also say 4 is the y intercept. Which one has 4 as b? (Which one says +4 after -2x)
The only answer that matches is C.
I hope thay made sense.
Answer:
the desired equation is y = (-1/5)x - 5.
Step-by-step explanation:
Parallel lines have the same slope. Here that slope is -1/5.
Let's use the slope-intercept form of the equation of a straight line:
y = mx + b
We know this new line passes through (-10, -3). Substitute -3 for y in y = mx + b, as well as -10 for x and -1/5 for m:
-3 = (-1/5)(-10) + b and solve for b:
-3 = 2 + b. Then b = -5, and the desired equation is y = (-1/5)x - 5.
16.45 is less than 16.454, Because 16.45 doesnt have a extra # at the end of the #, Add the pretend 0 to 16.45 and compare 0 to 4, And 4 is greater than 0
Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Answer:
(-4 , 1)
Step-by-step explanation:
We know that the turning point of any parabola is in its vertex. The x of the vertex can be calculated with the formula:
x = -b/2a
In our case b = 8, a = 1, so:
x = - 8/2 = -4
We plug this value into our original equation and find the y of the vertex:
(-4)^2 + 8(-4) + 17 = 16 - 32 + 17 = 1
Vertex = (-4 ; 1)
