Answer:
<h3>-5(2q - 3)</h3>
Step-by-step explanation:
Hello!
To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:
- Find the negative reciprocal using the slope of the given function
- Substitute the given ordered pair into the new equation with the slope found in step 1
Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.
In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.
To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.
Now, we will substitute the ordered pair into the slope-intercept formula with our new slope.
y = -1/3x + b (6, 8)
8 = -1/3(6) + b
8 = -2 + b (add 2 to both sides)
10 = b
Therefore, the equation of the line is y = -1/3x + 10.
Answer:
B
Step-by-step explanation:
pi / 2 is equal to 180°/2 which is 90°.
Cos (90°) = 0
if cos90 = 0 then what kind of graph will we have at 90° to the x axis ?
a graph passing through the origin. (0,0)
Answer: Choice A
A trapezoid has only 1 pair of parallel sides, but a parallelogram has 2.
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Explanation:
These terms are just things you memorize. A diagram of two examples is shown below. The example shows a non-rectangular parallelogram, but you could go with rectangles or squares if you wanted to.
Answer:
16. 142 deg
17. 23 deg
18. 134 deg
19. 38 deg
Step-by-step explanation:
16.
m(arc)QT = 2m<QST = 2 * 71 = 142
17.
m<STR = (1/2)m(arc)RS = (1/2)46 = 23
18.
RT is a diameter since it includes the center of the circle, point X.
m(arc)RST = 180
m(arc)RS + m(arc)ST = m(arc)RST
46 + m(arc)ST = 180
m(arc)ST = 134
19.
RT is a diameter since it includes the center of the circle, point X.
m(arc)RQT = 180
m(arc)RQ + m(arc)QT = m(arc)RQT
m(arc)RQ + 142 = 180
m(arc)RQ = 38
