Answer:
Step-by-step explanation:
Look for the GCF and then divide every term by the GCF to see what remains
(9) 5a - 25 ( GCF is 5 so take out 5 and divide every term by 5)
5(a-5)
(10) 28 - 7x ( GCF is 7 so take out 7 and divide every term by 7)
7(4-x)
(11) 12z + 28 - 7z - 3= (combine terms) =
5x+25( GCF is 5 so take out 5 and divide every term by 5)
5(x+5)
Answer:
m∠PNO = 60°
m∠O = 33°
Step-by-step explanation:
∡NPO is 87° because it's a vertical angle with the 87° angle
3) ∡PNO is supplementary to the 120° angle (they must add to 180°)
4) m∠O = 180 - (60 + 87) = 33
Answer:
The value of <em> </em>
= 3
Step-by-step explanation:
<u><em>Explanation</em></u>
<em>Given </em>
<em></em>
<em></em>
<em>L.C.M 8 , 12 is 24</em>
<em> </em>
<em> </em>
<em></em>
<em> = </em>
<em></em>
<u><em>Final answer</em></u><em>:-</em>
The value of <em> </em>
= 3
Answer:
D. g(x) = (x+ 4)² + 6
Step-by-step explanation:
Here, the given function is f(x) = x²
Now,if a graph x² is translated by (h,k) where:
h = Translation done towards RIGHT
k = Translation done towards UP
Then the translated equation is given as:
y = (x-h)² + k .... (1)
Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.
⇒ h = - 4 and k = 6
Substituting the value of h, k in (1) , we get:
g(x) = (x-(-4))² + 6 = (x+ 4)² + 6
⇒ g(x) = (x+ 4)² + 6
Hence, the equation of the translated function, g(x) is g(x) = (x+ 4)² + 6.
Answer:
I think this is a pretty good question of law of indices
Step-by-step explanation:
Given that

a) express n in terms of p and q ,
b) hence if p = 1 and q = 2 find the value of n
Solution to part a)

Simplify the equation and how do we do that? As we can see that 9 can also be written as 3^2 and 27 can be written as 3^3 we can rewrite the following equation like this,

now we multiply p with 2 and
multiply q with 3 respectively,

now since the bases are same and are multiplying the exponents will add themselves like this, in this equation the number 3 is the base

now since the bases on the left hand side and on the right hand side are equal the exponents will also be equal so now,

hence n is expressed in terms of p and q
Solution to part b)
if p = 1 and q = 2 we plug in these values in the above equation we found for n
n = 2p + 3q
n = 2(1) + 3(2)
n = 2 + 6
n = 7