Answer:
The equation of a line with the slope of 1/4 that passes through the point (-8,2) is
Solution:
Given, slope of a line is and a point is (-8, 2)
We have to find the line equation with above given values.
Now, we know that, point slope form of a line is
Where, m is slope of line and
Here in our problem,
So, substitute above values in general form.
4(y – 2) = (x + 8)
4y – 8 = x + 8
x – 4y + 8 + 8 = 0
x – 4y + 16 = 0.
4y = x +16
Hence the equation of a line with the slope of 1/4 that passes through the point (-8,2) is
Answer:
y = 1/4x + 4 or y - 2 = 1/4(x + 8)
X y. X y
0 3. -1 1
1. 5. -2-1
Line 1:y=____x+____
Line 2:y=____x+____
12.50%
37.50%
62.50%
80.00%
2. Write the decimal 0.063 as a percent. (1 point)
0.63%
6.3%
63%
630%
3. After a study was completed at a local college, it was found that 386 in 1,112 students live with their parents. What percent of the students lives with their parents? Round to the nearest hundredth of a percent where necessary. (1 point)
3.44%
34.71%
49.36%
65.28%
4. Write the percent 23.44% as a decimal. (1 point)
2344
234.4
2.344
0.2344
5. Chris and five of his friends go out to dinner. The total bill comes to $124.29. They decide to leave a 20% tip. Each person will contribute an equal amount to the total tip. Estimate what each person should contribute. (1 point)
$29.00
$21.00
$5.00
$4.15
6. Use a proportion to solve the problem.
71% of 67
(1 point)
= ; 94.37
= ; 105.97
= ; 47.57
= ; 95.14
7. 41 is what percent of 205? (1 point)
= ; 84%
= ; 20%
= ; 200%
= ; 8%
8. According to the scores on the last math test, 80%, or 20, of the students in the class received an A. Find the number of students in the entire class. (1 point)
= ; 16 students
= ; 65 students
= ; 25 students
= ; 40 students
9. During the basketball season, Diane took 134 shots and made about 56% of them.
a. How many shots did Diane make?
b. The team made a total of 498 shots. What percent of the team’s made shots did Diane make? (1 point)
24 shots; 15.1%
753 shots; 27%
240 shots; 27%
75 shots; 15.1%
10. What percent of 40 is 24? (1 point)
24 = p • 40; 6%
40 = p • 24; 17%
24 = p • 40; 60%
40 = p • 24; 167%
11. The sales tax rate is 6.3%.
Find the tax paid for a pair of earrings with a list price of $77.
What is the total cost of the pair of earrings?
(1 point)
$4.85; $77.49
$4.85; $81.85
$0.49; $77.49
$.049; $81.85
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
(2, 0), (-3, 3), (9, 1), (-3, 5) NOT
(9, 1), (-3, 4), (2, 1), (9, 2) NOT
(2, 4), (-3, 2), (9, 1), (-7, 2) YES
(2, 4), (-3, 6), (2, 3), (-7, 2) NOT
The angles should at 144°
A decagon is a 2D shape, or polygon that has 10 straight sides, 10 vertices (points), and 10 interior angles.
Given that, A 2-inch-wide frame is to be built around the regular decagonal window
External angles add up to 360
so each external angle = 360/10 = 36 degrees
internal angle = 180 - 36 = 144 degrees
Hence, angles at the corners are 144 degrees
For more references on decagon, click;
#SPJ2