Answer:
-21x + 6x - 4
Step-by-step explanation:
First, distributive property.
-7(3x) = -21x
2(3x-2) = 6x - 4
Secondly, put those together.
-21x + 6x - 4
And that is your answer because you don't need to find the sum or x.
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
O y=-2x + 6
O y=-*x+2
O y=2x + 2
Answer:
None of the answers is correct based on the points given
Step-by-step explanation:
1. Use the slope formula (see image)
Based on the points given the slope is actually undefined.
Answer:
y = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (1,4) and (x₂, y₂ ) = (3, 4)
m = = = 0
This indicates the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (1, 4) and (3, 4) with y- coordinates of 4, thus
y = 4 ← equation of line
3 ) 96 is 160 % of what number?
4 ) what is 85 % of 120?
5 ) 56 is 75 % of what number?
The length of the other leg is __ in
The measures of the acute angles are : __ and __
General Idea:
By using the Pythagorean theorem which states that in a right triangle the sum of square of two legs is equal to the square of hypotenuse. We can find the length of the third side.
Given:
We can see shortest side a is 4 inches, hypotenuse is c is 8 inches and middle side is 4√3. This is quality of a special triangle. The smallest side (a) is opposite the smallest angle (30°), the middle side (b) is opposite the angle (60°) and the longest side (c) is opposite the largest angle (90°).
The triangle 30°-60° - 90° triangle will be of the ratio 1:√3:2.
Conclusion:
The length of the other leg is 4√3 in
The measures of the acute angles are : 30° and 60°