So we will be using form, in which m = slope and b = y-intercept. Since we know the slope (-8), all we need to do is solve for the y-intercept. We can do this by inserting (-2,2) into the equation and solve for b.
Firstly, do the multiplication:
Next, subtract 16 on both sides, and your answer will be -14 = b
Using the previous info we have, our equation is y = -8x - 14
63³-343 = 261801
Factor the following integer:
261'801
The sum of the digits of 261801 is 2 + 6 + 1 + 8 + 0 + 1 = 18, which is divisible by 9. This means 261801 is too.
261801 = 9×29089:
261801 = 9×29089
9 = 3^2:
261801 = 3^2×29089
Because 29089 is odd, only test odd numbers for divisibility.
29089 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17.
29089 = 19×1531 which means 29089 is divisible by 19:
261801 = 3^2×19×1531
3 is prime:
261801 = 3^2×19×1531
Because 19 is odd, only test odd numbers for divisibility.
19 is not divisible by 3.
Since 19 is not divisible by any integer up to 4, it is prime:
261801 = 3^2×19×1531
Because 1531 is odd, only test odd numbers for divisibility.
1531 is not divisible by 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 or 39.
Since 1531 is not divisible by any integer up to 39, it is prime:
261801 = 3^2×19×1531
There are 2 copies of 3, 1 copy of 19 and 1 copy of 1531 in the product:
Answer: 261801 = 3^2×19×1531
Which pair is a base and corresponding height for the triangle?
A.
b = 16 units and h = 9.6 units
B.
b = 20 units and h = 16 units
C.
b = 20 units and h = 9.6 units
D.
b = 20 units and h = 12 units
2.
(1 pt)
What is the area of the triangle?
A.
208 in2
B.
192 in2
C.
104 in2
D.
96 in2
3.
(1 pt)
What is the area of the triangle?
A.
42.14 cm²
B.
35.28 cm²
C.
21.07 cm²
D.
17.64 cm²
4.
(1 pt)
The county animal park is shaped like a triangle. Two perpendicular sides of the park measure 2.3 miles and 3.4 miles.
What is the area of the animal park?
A.
3.91 mi²
B.
5.7 mi²
C.
7.82 mi²
D.
11.4 mi²
5.
(1 pt)
What is the area of a triangle with a base of 4.6 cm and a height of 7.8 cm?
A.
12.4 cm²
B.
17.94 cm²
C.
24.8 cm²
D.
35.88 cm²
You must score 86 points on the fourth test to have an average, or at least 90 points.
The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the total number of observations by the total number of observations.
Given:
In three math tests,
you score 91,95, and 88 points.
Let n be the score of the fourth test.
To find the average:
The average = (91 + 95 + 88 + n) / 4
90 = (91 + 95 + 88 + n) / 4
(91 + 95 + 88 + n) = 360
n = 360 - 274
n = 86
Therefore, the score of the fourth test is 86.
To learn more about the average;
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