Answer:
b = 17.55
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + b^2 = 18^2
16 + b^2 = 324
<u>-16 -16</u>
b^2 = 308
square root them
<u>b = 17.55</u>
let me know if it is correct!
Answer:
M (-3, -5/2)
N (3, -1)
Step-by-step explanation:
Solve the first equation for x.
4y = x − 7
x = 4y + 7
Substitute into the second equation.
x² + xy = 4 + 2y²
(4y + 7)² + (4y + 7)y = 4 + 2y²
Simplify.
16y² + 56y + 49 + 4y² + 7y = 4 + 2y²
18y² + 63y + 45 = 0
2y² + 7y + 5 = 0
Factor.
(y + 1) (2y + 5) = 0
y = -1 or -5/2
Plug back into the first equation to find x.
x = 4(-1) + 7 = 3
x = 4(-5/2) + 7 = -3
M (-3, -5/2)
N (3, -1)
Answer:
Leo is 10, Jenny is 20
Step-by-step explanation:
Let's say that Jenny's current age is j, and that Leo's current age is l. With this, we can set up the following equations:
j=2l
j-5=3(l-5)
Let's use substitution and plug the first equation into the second one:
(2l)-5=3(l-5)
2l-5=3l-15
l=10
j=20
Hope this helps!
Answer:
Step-by-step explanation:
Please provide image