The time when the two trains reach each other is 1.25 hours
The trains are 68.75 away from the city when they reach each other.
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
Answer:
<u>36</u>
Step-by-step explanation:
You multiply 40% by 90. Or make 40% 0.4 and multiply that by 90.
Answer:
h = 3.6
Step-by-step explanation:
This is just substituting in for variables and solving for x. The hard part is knowing the formula.
R = h((a+b)/2) where a and b are the 2 different bases, h is the height or latitude, and R is the area of a trapezoid, is the formula.
Given that R = 8.1, a = 1 and b = 3.5, we can substitute these equations in the formula.
(8.1) = h(((1) + (3.5)) / 2)
= h((4.5) / 2)
= h(2.25)
8.1/2.25 = h
3.6 = h
Answer:
Step-by-step explanation:
I’m assuming that the equation is to be written in slope intercept form (y=mx+b), so for this, you want to find the slope and y-intercept. To find the slope, use the equation in picture 1.
0 - 5 = -5
1 - 5 = -4
-5 / -4 = 1.25
So m, or the slope, is equal to 1.25.
To find the y-intercept, make a table like the second picture. Choose one of the ordered pairs as the given. I used 1,0.
0,?
1,0
Now find the change in x, which in this case, is 1. Then set up something like picture three.
1.25/1 = ?/1
?=1.25
Now backtrack to get:
0, -1.25
1, 0
Now we know what is y when x is 0, we know the y intercept and can make the equation:
y = 1.25x - 1.25
