What are the roots of the equation?

-8 and -3

Step-by-step explanation:

Add 11x to both sides;

x + 3 = 0

Subtract 3 from both sides;

x = -3

x + 8 = 0

Subtract 8 from both sides;

x = -8

Option B ( -8 and -3 )

Step-by-step explanation:

Rewrite the equation as follows:

Now we can use two methods either the quadratic formula or the factorization method.

Lets use the factorization method.

We need two number when multiplied gives us +24 and when added up give us +11 .

Now we know 12 and 2 when multiplied give us 24 but when added give us 14 so we cant use these two numbers.

But we know 8 and 3 when multiplied give us 24 and when added give us 11 so we can use them , so rewrite the equation like,

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.