Hey there! :D
7(2x+6)=1
Use the distributive property. Multiply each number by each other.
7*2x= 14x 7*6= 42
14x+42=1
Subtract 42 on both sides.
14x= -41
Divide both sides by 14.
We know that 14 goes into -41 almost three times.
14*3= 42 (there is one left over)
-2 13/14 (we just need one more part of 14)
That is the simplified number.
I hope this helps!
~kaikers
<span>If you are adding a constant, then the graph is either raised or lowered k units.
For example.... If you have the graph of y = x^2
and now you add 3, so your new graph of x^2 + 3, will be the same graph as x^2 but raised vertically 3 units.
The graph of x^2 - 7 will be the graph of x^2 lowered vertically 7 units.
I hope my answer has come to your help. God bless and have a nice day ahead!</span>
Answer
Find out the how far into the country does he go.
To proof
Let us assume that the total diatance travelled into the country be x .
Formula
As given
A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,
he walks it back at an average speed of 3 miles per hour.
If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.
Than the equation becomes
L.C.M of (10,3) = 30
Than the equation becomes
3x +10x = 195
solving
13x = 195
x = 15 miles into the country
Hence proved
let's use those two endpoints in the line of (-5 , 2) and (5 , -1)
![\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=-\cfrac{3}{10}[x-(-5)]\implies y-2=-\cfrac{3}{10}(x+5) \\\\\\ y-2=-\cfrac{3}{10}x-\cfrac{3}{2}\implies y=-\cfrac{3}{10}x-\cfrac{3}{2}+2\implies y=-\cfrac{3}{10}x+\cfrac{1}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-2%3D-%5Ccfrac%7B3%7D%7B10%7D%5Bx-%28-5%29%5D%5Cimplies%20y-2%3D-%5Ccfrac%7B3%7D%7B10%7D%28x%2B5%29%20%5C%5C%5C%5C%5C%5C%20y-2%3D-%5Ccfrac%7B3%7D%7B10%7Dx-%5Ccfrac%7B3%7D%7B2%7D%5Cimplies%20y%3D-%5Ccfrac%7B3%7D%7B10%7Dx-%5Ccfrac%7B3%7D%7B2%7D%2B2%5Cimplies%20y%3D-%5Ccfrac%7B3%7D%7B10%7Dx%2B%5Ccfrac%7B1%7D%7B2%7D)
Answer:
x = 5°
Step-by-step explanation:
We know that in a triangle, the measure of an exterior angle is equal to the sum of its two remote interior angles, therefore:
7x + 4 + 61 = 20x
7x + 65 = 20x
13x = 65
x = 5°
