Answer:
4
Step-by-step explanation:
First, we can take two triangles -- one with 2 as a side and the big one. Literally every side of the triangle with the 2 in it is parallel to its corresponding side the big triangle. Therefore, we can say that the two triangles are similar.
In similar triangles, we can say that the ratios of corresponding sides are the same. Let's say that the bottom side of the big triangle is x, and the question mark is y. Therefore, the hypotenuse of the big triangle is 6+y. Furthermore, the ratio of corresponding sides ((6+y)/y and x/2) are equal, so
(6+y)/y = x/2
Since x is clearly made up of 3 and 2, we can say 3+2=x=5
(6+y)/y = 5/2
multiply both sides by y to remove a denominator
6+y = 5*y/2
multiply both sides by 2 to remove the other denominator
12+2y = 5*y
subtract both sides by 2y to isolate the y and its coefficient
12 = 3y
divide both sides by 3 to isolate the y
y=4
Step-by-step explanation:
v=u+at
at=v-u
a=v-u/t
Answer:
A
Step-by-step explanation:
Hope this helps and I don't really know how to explain.
Answer:
The roots are {-4, 2}.
Step-by-step explanation:
It seems strange to have x terms on both sides of your equation. If this is indeed the correct equation, then
x^2-x-8=-3x becomes x^2 +3x - x - 8= 0, and this latter result simplifies to
x^2 + 2x - 8 = 0.
One set of factors of -8 is {-2, 4} and another is {1, -8). Hence we could try evaluating this quadratic at x = 4:
4^2 + 2(4) - 8 = 16 (since this is not zero, 4 is not a root and (x - 4) is not a factor.
Try x = -4 instead:
(-4)^2 + 2(-4) - 8 = 0 simplifies to 16 - 8 - 8 = 0, which is true.
Then x + 4 is a factor and x - 2 is another. Multiplying these two together as a check results in the given x^2- x - 8 = -3x.
The roots are {-4, 2}.
The correct answer of this question is 65