You would use the equation x + x + 65 + 25 = 180. The equate should be equal to 180 since a triangle is 180 degrees. Then use the equation and solve
2x + 90 = 180
2x = 90
x = 45
Hope you understand!
Below are I assume the choices, it can be found elsewhere:
A. 15x+10y≥250
B. x+y≤250
C. x+y≥20
D. 15x+10y≥20
E. x+y≤20
<span>F. 15x+10y≤250
</span>
The inequalities that represent constraints for this situation is 15x+10y<=250 and <span>x+y>20. Thank you for posting your question here. I hope the answer helps. </span>
slope is rise over run so it will be 20/4 or you can reduce it to 5
To solve these, I like to write it out in expanded form for each rectangle.
Starting from left to right:
(12*7)+(12*5)+(12*7)+(7*5)+(12*5)+(7*5)
It can also be written as:
2(12*7)+2(12*5)+2(7*5)
This equals 358cm^2
It is squared because it is a result of multiplying 2 dimensions: length*width.
Hey there! :)
We're given the equation : y = 1/3x - 2 & coordinates : (-3, 5)
If we're looking for an equation for a perpendicular line, then we know that the slope of our new equation MUST be the negative reciprocal of the original slope. This means that you flip the slope and add or remove a negative. Example : slope = -2 ⇒ negative reciprocal slope = 1/2
Before using this information, we must first find the slope of our original equation.
Using slope-intercept form, which is : y=mx+b ; where m=slope, b=y-intercept
Ask yourself : which value is in the "m" spot and which value is in the "b" spot?
Using this, we now know that 1/3 is our slope, and -2 is our y-intervept.
So, our negative reciprocal is -3.
Use point-slope form to find the y-intercept, and coordinates (-3, 5)
Point-slope = y - y1 = m(x - x1)
y - 5 = -3(x - (-3))
Simplify.
y - 5 = -3(x + 3)
Simplify.
y - 5 = -3x - 9
Add 5 to both sides.
y = -3x + 4 ⇒ slope-intercept form
<em>~Hope I helped! :) </em>
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