You can set the y values equal to each other and solve the system:
x^2+3x-4=2x+2
x^2+x-6=0
(x+3)(x-2)=0
x=-3,2
So, these are the x values of the intersection. To get the y values, you can just plug them back into either formula:
y=2(-3)+2
y=-4
y2(2)+2
y=6
So the coordinates are (-3,-4) and 2,6).
Answer:
Yes, it's a right-angle triangle
Step-by-step explanation:
3 root 2 is 4.24
3 root 3 is 5.2
3 root 5 is 6.71
3 root 5 is the longest side, so must be the hypotenuse.
a^2 + b^2 = c^2
(3 root 3)^2 + (3 root 2)^2 = c^2
45 = c^2
Square root both sides
C = root 45
( simplified to C= 3 root 5)
Thus, it is a right-angle triangle.
(Root means a square root)
Hope this helps!
Number 6
Answer:
y = (c - ax)/b
Step-by-step explanation:
ax + by = c
by = c - ax
y = (c - ax)/b
<em>I answered number 5 in your last question.</em>
First you would simplify the equation <span>(7x²+2x+5)+(3x²-8x-10) lets start with the first part
</span><span>(7x²+2x+5)
</span>7x² + 2x which = 49x + 2x which also = 51x Then you add the last part (+5)
51x + 5
Now you simplify the last part.
<span>(3x²-8x-10)
</span>3x²-8x which=9x - 8x which also = 1x or simply x Then add the last part (-10) Which you'll get x-10
51x + 5) + (x - 10) = 52x -5
so your answer is 52x - 5
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