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
Answer:
4
Step-by-step explanation:
Because if you have 2 apples and add 2 apples to that, you'll have a total of 4.
Answer:
Step-by-step explanation:
area of Δ=1/2×8×6=24
also area ofΔ=1/2×10×x
1/2×10×x=24
5x=24
x=24/5=4.8
To make ∠ADC is a right angle, value of x will be 7.
From given figure, it is observed that Angle ADC is combination of two angles ADB and BDC.
∠ADC=∠ADB+∠BDC
Since, ∠ADC is right angle.
So, ∠ADC=90 degree
90=∠ADB+∠BDC
Learn more:
brainly.com/question/20158593
For this case, the first thing you should do is define a variable.
We have then:
g: unknown number.
We now write the expression in algebraic form.
the sum of 5 and a number:
g + 5
Answer:
An expression that means the sum of 5 and a number is:
C. g + 5
