Answer:
Yes
Step-by-step explanation:
12 + 3(20) = 72
12 + 60 = 72
Okay, so you what you would is solve one equation for Y=mx+b and then substitute this equation for Y so the answer would be Y=-3/2x + 20
And then you would do 2x-3(-3/2x+20)=-11 and you solve it for x
But to get y you would substitute what you got for x into ether equations.
Answer: Figure A to Figure B is a scale factor of 0.5
Step-by-step explanation:
It's not too hard to figure out scale factor, since the two shapes are the same aside from their scale. Notice how Figure A is 4 units tall, and that Figure Bis 2 units tall. From one figure to another, use the equation Figure B/Figure A to find the scale factor. Although you won't really need to memorize all this, you can count the amount of units on your fingers and figure it out from there.
Answer:
Step-by-step explanation:
Exact Form:
w
=
11/3
Decimal Form:
w
=
3.6 (6 is repeated)
Mixed Number Form:
w
=
3 2/3
Let the first brother = x
second brother = x + 2
third brother = x + 4
<span>The product of the first and third boys' ages is 20 more than twice the second boy's age:
x(x+4) = 2(x+2) + 20
x</span>² + 4x = 2x + 4 + 20
x² + 4x - 2x - 24 = 0
x² + 2x - 24 = 0
(x - 4)(x + 6) = 0
x = 4 or -6 (rejected, age cannot be negative)
First brother = 4
Second brother = 4 + 2 = 6
Third brother = 4 + 4 = 8
The three boys are 4, 6, and 8 years old.