Answer:
Use the graph to write a linear function that relates y to x. The points lie on a line. Find the slope and y-intercept of the line. Because the line crosses the y-axis at (0, −3), the y-intercept is −3.w
Step-by-step explanation:
There are three standard forms for linear functions y = f(x):
f(x) = mx + b (The "slope-intercept" form),
y - yo = m(x - x0) or, equivalently, f(x) = y0 + m(x - x0) (The "point-slope" or "Taylor" form), and.
Ax + By = C (The "general form") which defines y implicitly as a function of x as long as B 0.
Answer:
The Answer is : D
Step-by-step explanation:
First find the slope of the line that the equation should be parallel to. In this case it is 2/1 which simplified is 2.
Next insert the X (4) of the point (4,1) and solve to see if you get the Y(1).
y-1 = 2 (4-4)
y-1= 2 (0)
y-1= 0
y= 1
In this case D is correct.
TIP*
If you see the question ask you about a parallel formula, look at the slopes of them to see if they match up. Parallel formulas have the same slope, just a tip because you can see in the answer choices none of the equations have the same slope as the line on the graph except for D.
Answer:
-84i - 12i
Step-by-step explanation:
The distributive property is: a(b+c) = ab + ac
In this case, we have -6i(-14i+2)
-6i = a
-14i = b
2 = c
-6i(-14i+2) = -6i(-14i) + -6i(2)
= 84i^2 - 12i
= -84 - 12i
Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
Answer:
Step-by-step explanation :The volume V of a prism is V = Bh, where B is the area of the base, h is the height of the prism.To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
