7). C
8). 60
n = 5(10) + 10
n = 50 + 10
n = 60
9). 17
f(x) = -2x + 7 plug the -5 in for x
f(x) = -2(-5) + 7
= 10 + 7
= 17
10).
Answer:
m<1 = 57°
m<2 = 74°
Step-by-step explanation:
m<1 = 57° (alternate interior angles are congruent)
m<B + m<C + m<2 = 180° (sum of interior angles of a triangle)
57° + 49° + m<2 = 180° (substitution)
106° + m<2 = 180°
Subtract 106° from both sides
m<2 = 180° - 106°
m<2 = 74°
Answer:
= 1700 :)
Step-by-step explanation:
-multiply all the sides,
-add them,
- then double the answer (or times it by 2):
1) 30 times 20 = 600
30 times 5= 150
20 times 5 =100
2) Add them:
600+150+100 = 850
then times 850 by 2
850 times 2 = 1700
<em><u>Hope that helped :)</u></em>
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Answer:
(x+5)²(x²+5)
Step-by-step explanation:
Given two functions x²+5 and x²+10x+25, to get their Lowest common factor, we need to to first factorize x²+10x+25
On factorising we have:
x²+5x+5x+25
= x(x+5) +5(x+5
= (x+5)(x+5)
= (x+5)²
The LCM can be calculated as thus
| x²+5, (x+5)²
x+5| x²+5, (x+5)
x+5| x²+5, 1
x²+5| 1, 1
The factors of both equation are x+5 × x+5 × x²+5
The LCM will be the product of the three functions i.e
(x+5)²(x²+5)
This hives the required expression.
Answer:
B
Step-by-step explanation:
rules:
add outside the function : f(x) ± a; will shift a + up / a- down
add inside the function: f(x ± a); will shift a + left / a- right
so if
f(x) becomes f(x) -4 will be shifting down 4 units
