If <em>x</em> is the smallest of the three, then the next two integers are <em>x</em> + 2 and <em>x</em> + 4.
"Twice the largest is 20 less than the sum of all three" translates to
2 (<em>x</em> + 4) = (<em>x</em> + (<em>x</em> + 4) + (<em>x</em> + 6)) - 20
Solve for <em>x</em> :
2<em>x</em> + 8 = 3<em>x</em> - 10
<em>x</em> = 18
Then the three numbers are {18, 20, 22}.
The answer would be 40
Explanation: let’s say x is over y
It took 0.4 times 80 to get 32 which means it would be 0.4 times 100 to get 40
Answer:
y = -4x - 24
Step-by-step explanation:
Firstly, figure out the slope. To do that, plug the coordinates in the formula.
y2 - y1 / x2 -x1
= -24 - 0 / 0 - (-6)
= -4
The slope is -4/1x.
To figure out the y-intercept, you need to plug one of the coordinates into
y = -4x + b
0 = -4(-6) + b
0 = 24 +b
-24 = b
90 it is a right tranigle
The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
![\Rightarrow m_1 \cdot m_2=-1](https://tex.z-dn.net/?f=%5CRightarrow%20m_1%20%5Ccdot%20m_2%3D-1)
![\Rightarrow 0.25\cdot m_2=-1](https://tex.z-dn.net/?f=%5CRightarrow%200.25%5Ccdot%20m_2%3D-1)
![\Rightarrow m_2=\frac{-1}{0.25}](https://tex.z-dn.net/?f=%5CRightarrow%20m_2%3D%5Cfrac%7B-1%7D%7B0.25%7D)
![\Rightarrow m_2=-4](https://tex.z-dn.net/?f=%5CRightarrow%20m_2%3D-4)
Point-slope intercept formula:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
and ![m=-4](https://tex.z-dn.net/?f=m%3D-4)
Substitute these in the formula, we get
![y-8=-4(x-(-6))](https://tex.z-dn.net/?f=y-8%3D-4%28x-%28-6%29%29)
![y-8=-4(x+6)](https://tex.z-dn.net/?f=y-8%3D-4%28x%2B6%29)
![y-8=-4x-24](https://tex.z-dn.net/?f=y-8%3D-4x-24)
Add 8 on both sides of the equation.
![y-8+8=-4x-24+8](https://tex.z-dn.net/?f=y-8%2B8%3D-4x-24%2B8)
![y=-4x-16](https://tex.z-dn.net/?f=y%3D-4x-16)
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16