Step-by-step explanation:
y - 3 = -1(x- -2)
y-3 = -x -2
Y = -x +1
Step-by-step explanation:
We have got the lines :
Both lines intercept the x-axis in the point :
In all point from x-axis the y-component is equal to 0.
We replace the I point in the lines equations:
From the first equation :
From the second equation :
Then 
Finally :
y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc
Thank you for asking this question. Here is your answer:
M = y2 - y1/x2 - X1 = M
= 290 - 210/120 - 80
M = 80/40
M = 2
Now we will consider y intercept
y = mx + b
210 = 2(80) + b
210 = 160 + b
b = 210 - 160
= 50
Now we will combine everything in order to get the answer.
y = 2x + 50
y = 2(60) + 50
y = 120 + 50
y = 170
So the final answer for this question is $170.
If there is any confusion please leave a comment below.
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45 degrees, you are cutting the right angle in half
Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
