Answer:
Step-by-step explanation:
The isosceles triangle containing the side of <em>y</em><em> </em><em>+</em><em> </em><em>12</em><em> </em>is congruent to <em>3x² - </em><em>32</em><em> </em>[<em>base angles</em> are congruent], and if you look closer, they are also equivalent to all three sides of the equilateral triangle <em>adjacent</em> to the isosceles triangle. So, we will be working with alot gadgets here, if you know what I mean. Anyway, this is how we start out:
-5y - 5y
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-4 = -4y + 12
-12 - 12
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-16 = -4y
___ ___
-4 -4
4 = y [Plug this back into both equations to get the value of 16.]
Next, you will set <em>3x² - 32 </em>equal to 16:
+32 + 32
_________________
48 = 3x²
__ ___
3 3
16 = x²
4 = x [In this case, we want the NON-NEGATIVE root because inputting a -4 for <em>x</em><em> </em>will not give us identical answers.]
I am joyous to assist you anytime.
Answer:
y -11 = -2(x+4)
or
y = -2x+3
Step-by-step explanation:
We can use the point slope form of a line
y - y1 = m(x-x1) where m is the slope and (x1 ,y1) is a point on the line
y - 11 = -2(x- -4)
y -11 = -2(x+4)
We can rewrite it in slope intercept form
y-11 = -2x-8
Add 11 to each side
y = -2x+3
Answer:
okiii i got the answers right here i hope this helps!
Step-by-step explanation:
oki so for the first one liner
the second it non liner
third is also non liner
and the lasst one is liner
Answer:
This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.
Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.
The magnitude of the resultant force can be found by applying the law of cosines:
c2 = a2 + b2 - 2abcos140°
where a = 80, b = 70 and c is the resultant force vector you are asked to find
Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:
sinα/a = sin140°/c
where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs
Step-by-step explanation
