Answer:
Sister = 15 years old
Brother = 12 years old
Step-by-step explanation:
Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X
Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have
B = 3X
S = 4X
B-3 = (3/4)(S-3)
Therefore, we have a system of equations
B = (4/5)S
B-3 = (3/4)(S-3)
Substitute (4/5)S for B into the second equation to only have one variable
(4/5)S - 3 = (3/4)(S-3)
(4/5)S - 3 = (3/4)S - 9/4
add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient
(1/20)S = 3/4
multiply both sides by 20 to isolate the S
S = 15
B = (4/5)S = 12
Answer:
y = 2/9
Step-by-step explanation:
y=x²
y=kx²
2= k(6)²
2= 36k
k= 1/18
The connecting formula is
y= 1/18x²
when y=? , x=2
therefore,
y= 1/18x²
y= 1/18(2)²
y= 1/18(4)
y= 2/9
Answer: see image
<u>Step-by-step explanation:</u>
Draw the line y = 1. Count how many units away the point is from that line. Move that point the same number of units in the opposite direction to create the reflection.
J is 2 units above y = 1. The new point is 2 units below y = 1. → (3, -1)
K is 3 units above y = 1. The new point is 3 units below y = 1. → (6, -2)
L is 5 units above y = 1. The new point is 5 units below y = 1. → (3, -4)
M is 3 units above y = 1. The new point is 3 units below y = 1. → (0, -2)
It'll be 4^2+ 3^2 then the answer you get you take the square root of it which will give you the hypotenuse.
Your answer would be 5 because square root of 25 is 5
If u want the formula it's a^2+b^=c^2
C is the hypotenuse and a and b is the lengths
Answer:
(5x-2)(5x+2)
Step-by-step explanation:
Differences of squares is basically (a2-b2) = (a-b) (a+b)
a = 5x and b = 2 in this case
Brainliest is appreciated :)
