Answer:
0
Step-by-step explanation:
First what you want to do is add together the common numbers
So, take all of the X's and add them together
(-11, 8, and 3)
-11x + 8x + 3x
-3x + 3x
0
So that all evens out
Now just find the other values
(4 and -4)
4 - 4
0
This equation equals 0
Hope this helps!!!
-Unicorns110504
*Please mark brainliest*
5x + 4y = 32 ⇒ 45x + 36y = 288
9x - 1y = 33 ⇒ <u>45x - 5y = 165</u>
<u>41y</u> = <u>123</u>
41 41
y = 3
5x + 4(3) = 32
5x + 12 = 32
<u> - 12 - 12</u>
<u>5x</u> = <u>20</u>
5 5
x = 4
(x, y) = (4, 3)
Answer:
Part a) The measure of the sides of triangle DEF are



Part b) Is a scalene triangle
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to

we have the coordinates
D(8,-6) E(-1,-3) F(-2,5)
step 1
Find the length side DE
D(8,-6) E(-1,-3)
substitute in the formula



step 2
Find the length side EF
E(-1,-3) F(-2,5)
substitute in the formula



step 3
Find the length side DF
D(8,-6) F(-2,5)
substitute in the formula



step 4
Classify the triangle by the measure of its sides
we have



so
Is a scalene triangle, because is a triangle in which all three sides have different lengths.
Answer:
A unit rate is the rate of change in a relationship where the rate is per 1.
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality.
If the rate of change is yx, then so is the constant of proportionality. To simplify things, we set yx=k, where k represents the constant of proportionality.
If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.
To find y in a direct variation equation, multiply x by the constant of proportionality, k.
For example: Given the relationship y=7x, the constant of proportionality k=7, so if x=3, then y=3×7 or 21.
Given the same relationship, if x=7, then y=7×7, or 49.
Step-by-step explanation:
Answer:
No g(x) = x/6 for (60, 10) to be a possible solution
by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments
Step-by-step explanation:
g(x) number of items
x number of people
the data point (60, 10) make sense as a possilbe solution NO
g(x) = number of items x = 60 g(x) = 10
g(60) = x/6 = 10
= 60/10
by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments