Step-by-step answer:
Given an enlargement from preimage (ABC) to image (A'B'C').
Need to find scale factor.
Solution:
Scale factor = linear size of image / linear size of preimage.
From the accompanying diagram, we see that
L(preimage) = AC = 4 units
L(image) = A'C' = 12 units
Therefore
Scale factor = L(image) / L(preimage) = 12 / 4 = 3
Answer:
10) 9x - 2° = 5x + 54° (corresponding angles are equal)
9x - 5x = 54 + 2
4x = 56
x = 56/4
x = 14°
10y + 6° = 9x - 2° (linear pair)
10y + 6° = 9(14)° - 2°
10y + 6° = 126° - 2°
10y + 6° = 124°
10y = 124° - 6°
10y = 118
y = 118/10
Sorry, i don't know how to do the 11th question
but hope this helps you!
A=3
The equation y=3x goes through both points
Hope I helped
Answer: (3x+2)(x+4)
Step-by-step explanation:Explanation:
3x2+10x−8
first multiply
3
with −8
and we get −24
then find two numbers that if we add or subtract we get
+10
and if we multiply we get
−24
and the numbers are
+12
and
−2
then we place those numbers as follow :-
3x2+12x−2x−8
then we group them
(3x2+12x)(−2x−8)
now take the common factor out.3x(x+4)−2(x+4)
then group the numbers outside of the brackets
(3x−2)(x+4)
7500(1+0.032)5=
1.032 to the power of 5= 1.171
7500x 1.171=8,782
