Answer:
9600cm²
Step-by-step explanation:
120×80=9600cm²
Casey is 18 years old and Ralph is 3 years old.
Step-by-step explanation:
Let,
Age of Casey = x
Age of Ralph = y
According to given statement;
x = 6y Eqn 1
In two years
x+2=4(y+2)
x+2=4y+8
x = 4y+8-2
x = 4y+6 Eqn 2
Putting value of x from Eqn 1 in Eqn 2
![6y=4y+6 \\6y-4y=6\\2y=6](https://tex.z-dn.net/?f=6y%3D4y%2B6%20%5C%5C6y-4y%3D6%5C%5C2y%3D6)
Dividing both sides by 2
![\frac{2y}{2}=\frac{6}{2}\\y=3](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B6%7D%7B2%7D%5C%5Cy%3D3)
Putting y=3 in Eqn 1
![x=6(3)\\x=18](https://tex.z-dn.net/?f=x%3D6%283%29%5C%5Cx%3D18)
Casey is 18 years old and Ralph is 3 years old.
Keywords: word problems, substitution method
Learn more about substitution method at:
#LearnwithBrainly
Answer:
288J
Step-by-step explanation:
recall the formula for kinetic energy
KE = (1/2) mv²
where m is the mass (= 4kg) and v is the velocity(=12 m/s)
hence
KE = (1/2) (4)(12)² = 288J
Answer:
B. (3, –1)
Step-by-step explanation:
Reflection in the line y=-x is described by the transformation ...
(x, y) ⇒ (-y, -x)
Then the point of interest becomes ...
F(1, -3) ⇒ F'(3, -1) . . . . matches choice B