Answer:
a
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Rearrange 3x - y = 4 into this form ( add y to both sides )
3x = y + 4 ( subtract 4 from both sides )
3x - 4 = y OR y = 3x - 4 → a
Answer:
increase
Step-by-step explanation:
the number got bigger
Answer:70 degrees and 150 degrees
Step-by-step explanation: The angles of a quadrilateral add up to 360. So the sum of the two angles is 360 - (55+ 85) = 220.
After that you can model the sum of the angles with an equation:
7x + 15x = 220
22x = 220
x = 10
then you plug in x for each angle 7(10) = 70 and 15(10) = 150
M/7 would be the correct answer
Answer:
proof below
Step-by-step explanation:
Remember that a number is even if it is expressed so n = 2k. It is odd if it is in the form 2k + 1 (k is just an integer)
Let's say we have to odd numbers, 2a + 1, and 2b + 1. We are after the sum of their squares, so we have (2a + 1)^2 + (2b + 1)^2. Now let's expand this;
(2a + 1)^2 + (2b + 1)^2 = 4a^2 + 4a + 4b + 4b^2 + 4b + 2
= 2(2a^2 + 2a + 2b^2 + 2b + 1)
Now the sum in the parenthesis, 2a^2 + 2a + 2b^2 + 2b + 1, is just another integer, which we can pose as k. Remember that 2 times any random integer, either odd or even, is always even. Therefore the sum of the squares of any two odd numbers is always even.
