Answer:
Step-by-step explanation:
Solving for x means you have to factor. First factor out the GCF of 2 to get:
and now we'll factor using the regular old method of ac and then factoring by grouping. In our polynomial, a = 3, b = 1, c = -6. Therefore, a times c is 3 * -6 which is -18. We need some combinations of the factors of 18 that will add to give us 1, the b term in the middle. The factors of 18 are:
1, 18
2, 9
3, 6 and that's it. Hm...it seems that won't work, so let's throw this into the quadratic formula, going back to the original and a = 6, b = 2 and c = -12:
and
and
and
and
which finally simplifies to
No wonder that didn't factor using the traditional method of factoring! We could have found that out by finding first the value of the discriminant, but oh well!
I believe it's the last one
sorry if it's not the right one
Answer:
scale factor = 2
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original
C'D' = 6 and CD = 3 then
scale factor =
= 2
Answer: 3.15 mm²
Step-by-step explanation:
First, we multiply the height by the base: 4.2 x 1.5 = 6.3
But, since this is a triangle, we have to divide this number by 2: 6.3 / 2 = 3.15
Hope this helps you!
Answer:

Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
If two lines are similar, then the lines are parallel
Lines parallel have the same slope
so
we have
Line A

isolate the variable y
----> equation A
The slope of the line A is m=0.5
The y-intercept of the line A is b=4
Line B

isolate the variable y
----> equation B
The slope of the line B is m=0.5
The y-intercept of the line B is b=2
Remember that
The y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B
so

solve for k
