Consecutive integers are 1 apart
they are
x,x+1,x+2
the sum of their squares is 194
x²+(x+1)²+(x+2)²=194
expand
x²+x²+2x+1+x²+4x+4=194
x²+x²+x²+2x+4x+1+4=194
3x²+6x+5=194
minus 5 from both sides
3x²+6x=189
3(x²+2x)=189
divide both sides by 3
x²+2x=63
minus 63 from bot sides
x²+2x-63=0
what 2 numbers multiply to get -63 and add to get 2
-7 and 9
(x-7)(x+9)=0
set each to zero
x-7=0
x=7
x+9=0
x=-9
for x=7
x+1=8
x+2=9
for x=-9
x+1=-8
x+2=-7
the integers are 7,8,9 or -9,-8,-7
Well if Abby is twice the age of her bother and her brother is 9 then she is going to be 18 because 9x2=18, then it says that she is half her dads age so all you have to do is add 18+18 which equals 36
Answer:
Complementary angles are:
∠ORS and ∠SRQ
Supplementary angles are:
∠ORP and ∠PRQ
Answer:
D
Step-by-step explanation:
We need to understand the meaning of slope. The slope means the rate of change of y with every unit change of x.
<em>In our case, it will be rate of change of sales increase (%) with respect to unit change of discount(%).</em>
<em />
The formula for slope is the change in y divided by change in x.
From the 2 points given, we can say that slope is:
<em>This means "as discount increases 1%, sales increase by 3%". Option D is right.</em>
Answer:
51
Step-by-step explanation:
PEMDAS means parenthesis (there are none), exponents (there are none), multiplication. So you multiply 8x18 to get 144. Then you have division, so 144/4 is 36. Finally, you add this number to 15 to get 51 as your final answer.
