Answer:
point slope form is y-y1 = m(x-x1) which is y+7= 1/5(x + 2)
Answer:
- The length = x = 15 units
- The width = x-5 = 10 units
Step-by-step explanation:
Let 'x' be the length of a rectangle
As the width of a rectangle is 5 units less than the length.
so
width of rectangle will be = w = x - 5 units
Area = 150 square units
Using the formula
Area = length × width
![150=\left(x\right)\left(x-5\right)](https://tex.z-dn.net/?f=150%3D%5Cleft%28x%5Cright%29%5Cleft%28x-5%5Cright%29)
![150=x^2-5x](https://tex.z-dn.net/?f=150%3Dx%5E2-5x)
![x^2-5x=150](https://tex.z-dn.net/?f=x%5E2-5x%3D150)
Subtract 50 from both sides
![x^2-5x-150=150-150](https://tex.z-dn.net/?f=x%5E2-5x-150%3D150-150)
![x^2-5x-150=0](https://tex.z-dn.net/?f=x%5E2-5x-150%3D0)
![\left(x+10\right)\left(x-15\right)=0](https://tex.z-dn.net/?f=%5Cleft%28x%2B10%5Cright%29%5Cleft%28x-15%5Cright%29%3D0)
if
![ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)](https://tex.z-dn.net/?f=ab%3D0%5C%3A%5Cmathrm%7Bthen%7D%5C%3Aa%3D0%5C%3A%5Cmathrm%7Bor%7D%5C%3Ab%3D0%5C%3A%5Cleft%28%5Cmathrm%7Bor%5C%3Aboth%7D%5C%3Aa%3D0%5C%3A%5Cmathrm%7Band%7D%5C%3Ab%3D0%5Cright%29)
![x+10=0\quad \mathrm{or}\quad \:x-15=0](https://tex.z-dn.net/?f=x%2B10%3D0%5Cquad%20%5Cmathrm%7Bor%7D%5Cquad%20%5C%3Ax-15%3D0)
![x=-10,\:x=15](https://tex.z-dn.net/?f=x%3D-10%2C%5C%3Ax%3D15)
As length can not be negative. so
x = 15 units
Hence,
The length = x = 15 units
The width = x-5 = 15-5 = 10 units
Answer:
y = (1/4)x - 3
Step-by-step explanation:
The slope-intercept form is y = mx + b. Here we are told that the line passes through (-8, -5) and that its slope is 1/4 (is that correct?).
Substituting -5 for y, -8 for x and 1/4 for m, we get an equation for the y-intercept, b:
-5 = (1/4)(-8) + b, or
-5 = -2 + b, so b = -3, and the desired equation is
y = (1/4)x - 3
Answer:
1 = 68
2 = 68
3 = 125
Step-by-step explanation:
Hey there!
To find angle 1 all we have to do is subtract the given angles from 180 because remember all of the angles in a triangle add up to 180
180-73-39=68
1=68
angle 2 is vertical to angle 1 therefore they are congruent angles so
2 also equals 68
So we know that the interior angles in a 4 sided shape add up to equal 360
so to find 3 we subtract the given angles from 360
360-90-77-68=125
so 3 = 125
Answer:
It would be 10*3
Step-by-step explanation:
If we follow the rule of BIDMAS or BODMAS, they both have Brackets to be done first.
By meaning we must do 4+6 as it is in the bracket. Then we multiply our answer by 3.