Answer:
1. 4x - 29=11
2. (3x - 4) (2) = 46
3. 3/5x + 8 = 50
4. The difference of 51 and the sum of x and 5.
5. The product of 3 and y minus eight.
Step-by-step explanation:
Answer:
x = 13
Step-by-step explanation:
Here, we want to get the missing side
from what we have, the triangle is a right angled triangle
In this kind of triangle, the Pythagoras’ theorem works
The square of the side facing the right angle ( marked x here) is equal to the sum of the squares of the two other sides
We have this as;
x^2 = 5^2 + 12^2
x^2 = 25 + 144
x^2 = 169
x = √169
x = 13
Answer:
![y=2x-4](https://tex.z-dn.net/?f=y%3D2x-4)
Step-by-step explanation:
Let the equation of line is
, where
is the slope of the line.
It passes through
.
(<em>Slope of the line</em> joining
)
Hence slope of the given line
![m=\frac{-8(-14)}{-2-(-5)}=\frac{-8+14}{-2+5}=\frac{6}{3}=2](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-8%28-14%29%7D%7B-2-%28-5%29%7D%3D%5Cfrac%7B-8%2B14%7D%7B-2%2B5%7D%3D%5Cfrac%7B6%7D%7B3%7D%3D2)
Equation of line is: ![y=2x+b](https://tex.z-dn.net/?f=y%3D2x%2Bb)
The line passes through ![(1,-2)](https://tex.z-dn.net/?f=%281%2C-2%29)
![-2=2\times 1+b\\b=-2-2\\b=-4](https://tex.z-dn.net/?f=-2%3D2%5Ctimes%201%2Bb%5C%5Cb%3D-2-2%5C%5Cb%3D-4)
Check if
is on the line ![y=2x-4](https://tex.z-dn.net/?f=y%3D2x-4)
![L.H.S.=-14\\R.H.S.=2\times (-5)-4=-10-4=-14\\L.H.S.=R.H.S.](https://tex.z-dn.net/?f=L.H.S.%3D-14%5C%5CR.H.S.%3D2%5Ctimes%20%28-5%29-4%3D-10-4%3D-14%5C%5CL.H.S.%3DR.H.S.)
Hence line passes through
.
Check if
is on the line ![y=2x-4](https://tex.z-dn.net/?f=y%3D2x-4)
![L.H.S.=-8\\R.H.S.=2\times (-2)-4=-4-4=-8\\L.H.S.=R.H.S.](https://tex.z-dn.net/?f=L.H.S.%3D-8%5C%5CR.H.S.%3D2%5Ctimes%20%28-2%29-4%3D-4-4%3D-8%5C%5CL.H.S.%3DR.H.S.)
Hence line passes through
.
Answer:
y = 5x + 5
Step-by-step explanation:
m = 5
y = mx + b
25 = 5(4) + b; b = 5
y = 5x + 5
Answer:
Is there a graph?
Step-by-step explanation: