Answer:
m(m-3)=108
Step-by-step explanation:
Complete question below:
Two positive integers are 3 units apart on a number line. Their product is 108.
Which equation can be used to solve for m, the greater integer?
m(m – 3) = 108
m(m + 3) = 108
(m + 3)(m – 3) = 108
(m – 12)(m – 9) = 108
Solution
On the number line,
Let
m= larger integer
The integers are 3 numbers apart on the number line, so
m-3=smaller integer
The product (×) of the larger and smaller integers=108
(m)*(m-3)=108
m(m-3)=108
Therefore, the equation that can be used to solve for m, the larger integer is:
m(m – 3) = 108
F(−2)=14. Explanation: substitute x=− 2 into f(x). f(−2)=(3×(−2)2)−(−2). ××=(3×4)+2=12+2=14 .
Answer:
x=-4 y=5
Step-by-step explanation:
Rewrite equations:
x=−4y+16;3x+4y=8
Step: Solvex=−4y+16for x:
x=−4y+16
Step: Substitute−4y+16forxin3x+4y=8:
3x+4y=8
3(−4y+16)+4y=8
−8y+48=8(Simplify both sides of the equation)
−8y+48+−48=8+−48(Add -48 to both sides)
−8y=−40
−8y
−8
=
−40
−8
(Divide both sides by -8)
y=5
Step: Substitute5foryinx=−4y+16:
x=−4y+16
x=(−4)(5)+16
x=−4(Simplify both sides of the equation)
Answer:
x=−4 and y=5
Answer:
4cm
Step-by-step explanation:
the diameter is labelled as 8cm
radius is half of the diameter
