Answer:
Step-by-step explanation:
Let the larger number = x
Let the smaller number = y
x = 2*y + 8
x * y = 234 Put the first equation into the second.
(2y + 8)*y = 234 Remove the brackets
2y^2 + 8y = 234 Subtract 234 from both sides
2y^2 + 8y - 234 =0 Factor out 2
2(y^2 + 4y - 117) = 0 Divide by 2
y^2 + 4y - 117 = 0
(y + 13)(y - 9)
y = 9 is one answer
x * y = 234
x * 9 = 234 Divide by 9
x = 234/9
x = 26
The two numbers are 9 and 26
Formula for P: P = 2W + 2L
Formula for A: A = WL
Here, P = 2(4 ft) + 2(7 ft) = (8+14) ft = 22 ft
and A = (4 ft)(7 ft) = 28 ft^2
Answer:
y < 3/2x - 5/2 or y < 3/2 x - 2.5
Step-by-step explanation:
3x -2y > 5
Solve for y
3x - 2y > 5 when solving a problem with an inequality sign, rewrite the problem and solve with an equal sign and add the equality at the end.
3x - 2y = 5
-2y = -3x + 5
y = -3/-2x+ 5/-2
y = 3/2x - 2 1/2
Now if you have to use the inequality sign, you will use < because the y term was negative and that will change the direction of the inequality sign.
So y < 3/2x - 5/2 or y < 3/2 x - 2.5
If 10% of people are left-handed, and you have 10 people in a group, only 1 of them is going to be left-handed.
Answer:
96°
Step-by-step explanation:
Opposite angles in a parallelogram are equal.
