Since this is a system of equations, substitute the value of x into the other equation.
2(3y)+2y=24
6y+2y=24
8y=24
y=3
x=3(3)
x=9
To check my work, substitute my x and y values:
2(9)+2(3)=24
18+6=24
24=24
Your answer is (3,9)
Hope this helps! Have a wonderful day :)
Answer:
11. MN = 4 m
12. LK = 8 m
Step-by-step explanation:
11. Apply pythagorean theorem to find MN:
MN = √(5² - 3²) = √(25 - 9) = √16
MN = 4 m
12. Recall: The ratio of the corresponding side lengths of any two given similar triangles are equal.
MN corresponds to LK
MO corresponds to KO
Therefore:
LK/MN = KO/MO
LK/4 = 10/5
LK/4 = 2
Multiply both sides by 4
LK = 2*4
LK = 8 m
Kate is 3 years old
Explanation:
Kate is x for example, then her father would be
x+32
In five years he would be x+32+5, x+37, but he would also be 5 times older.
Kate will also be x+5.
SO, we know that
x+37=5 · (x+5)
When we simplify, we get
x+37 = 5x+25
Simplify further, you get
12=4x, so
3=x
Kate is 3 years old currently
