Answer:
4
Step-by-step explanation:
If they spent 36 dollars
and the shoes were 4 dollars,
36-4=32 dollars left for the games
32/8=4 games
2.1s+2.8-1.1s=7.9 Distribute the 0.7 in the parenthesis
s+2.8=7.9 Combine like terms which in this case is 2.1s and -1.1s
s=5.1 Subtract 2.8 from both sides.
Answer:
y = a(x² + (13/3)x + 12/3)
Step-by-step explanation:
First use the equation in x-intercept form: y = a(x-r)(x-s)
Where r and s are the values for the x-intercept
Substitute the x-intercepts
y = a(x - (-4/3)) (x - (-3))
Simplify
y = a(x + (4/3)) (x + 3)
Distributive property for brackets:
y = a(x² + 3x + (4/3)x + 12/3)
Find common denominator in fractions to collect like terms
y = a(x² + (9/3)x + (4/3)x + 12/3)
y = a(x² + (13/3)x + 12/3)
We cannot solve for the "a" value without another point.
If given the other point, substitute it for x and y to solve for a.
Then rewrite the equation with the "a" value.
<u>Question 11</u>
1)
,
(given)
2)
(reflexive property)
3)
(ASA)
4)
(CPCTC)
<u>Question 12</u>
1) Isosceles
with
,
(given)
2)
(angles opposite congruent sides in a triangle are congruent)
3)
and
are supplementary.
and
are supplementary (angles that form a linear pair are supplementary)
4)
(supplements of congruent angles are congruent)
5)
(SAS)
6)
(CPCTC)
7)
is an isosceles triangle (a triangle with two congruent sides is isosceles)
<em>Note: I changed the names of the segments in Question 11 because of the word filter.</em>