-3(y+2)^2 - 5 + 6y
= -3(y^2 + 4y + 4) - 5 + 6y
= -3y^2 - 12y - 12 - 5 + 6y
= -y^2 - 6y - 17
Answer
(-1) y^2 + (-6) y + (-17)
9514 1404 393
Answer:
False
Step-by-step explanation:
Corresponding angles in similar triangles are congruent. The similarity statement tells you angle B corresponds to angle Y, so those angles are congruent. The sines of congruent angles are identical.
sin(B) > sin(Y) . . . . FALSE
sin(B) = sin(Y) . . . . true
Answer:
Two possible lengths for the legs A and B are:
B = 1cm
A = 14.97cm
Or:
B = 9cm
A = 12cm
Step-by-step explanation:
For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.
Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:
A^2 + B^2 = H^2
If we know that H = 15cm, then:
A^2 + B^2 = (15cm)^2
Now, let's isolate one of the legs:
A = √( (15cm)^2 - B^2)
Now we can just input different values of B there, and then solve the value for the other leg.
Then if we have:
B = 1cm
A = √( (15cm)^2 - (1cm)^2) = 14.97
Then we could have:
B = 1cm
A = 14.97cm
Now let's try with another value of B:
if B = 9cm, then:
A = √( (15cm)^2 - (9cm)^2) = 12 cm
Then we could have:
B = 9cm
A = 12cm
So we just found two possible lengths for the two legs of the triangle.
Answer:
<u>12.2</u>
Step-by-step explanation:
100 - 20% = 80%, 80% - 5 = -42, -42 - 8 = <u>-12.2</u>
