Answer:
4 1/3 is the same as 11 decreased by a number.
Step-by-step explanation:
Answer:
The gradient of the line passing through the points (4·a, -a) and (6·a, 5·a) is 3
Step-by-step explanation:
The gradient of a (straight) line given the 'x' and 'y' coordinates of two points on the line, (x₁, y₁), and (x₂, y₂) can be found using the following formula;
![The \ gradient \ of \ a \ line, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=The%20%5C%20gradient%20%5C%20of%20%5C%20a%20%5C%20line%2C%20%5C%2C%20m%20%3D%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
The coordinates of two points on the given line are;
(4·a, -a), and (6·a, 5·a)
Therefore, we get;
![The \ gradient \ of \ the \ line =\dfrac{5\cdot a-(-a)}{6 \cdot a-4 \cdot a} = \dfrac{6\cdot a}{2 \cdot a} = 3](https://tex.z-dn.net/?f=The%20%5C%20gradient%20%5C%20of%20%5C%20the%20%5C%20line%20%20%3D%5Cdfrac%7B5%5Ccdot%20a-%28-a%29%7D%7B6%20%5Ccdot%20a-4%20%5Ccdot%20a%7D%20%3D%20%5Cdfrac%7B6%5Ccdot%20a%7D%7B2%20%5Ccdot%20a%7D%20%3D%203)
The gradient of the line = 3.
ANSWER: The inequality form is: m <u><</u> -3
2x+3(5-x)-12=4(x+2)
Distribution property:
2x+15-3x-12=4x+8
Add like terms:
-1x+3=4x+8
Add 1x to both sides:
3=5x+8
Subtract 8 from both sides:
-5=5x
Divide by 5 on both sides to get x by itself:
x= -1
Answer:
n = 6
Step-by-step explanation:
Step 1: Write equation
-15 + n = -9
Step 2: Add 15 to both sides
n = 6
Step 3: Check
<em>Plug in n to verify it's a solution.</em>
-15 + 6 = -9
-9 = -9