Answer:
Third answer (she is incorrect because she should have squared each leg length and then found the sum.)
Step-by-step explanation:
The pythagorean theorem states that a²+b²=c². This is not equivalent to (a+b)²=c² (due to FOIL expansion, this expands to a²+2ab+b²=c²).
This matches with the third answer, as she has to do a² and b≥ separately.
**This question involves expanding perfect squares, which you may wish to revise. I'm always happy to help!
Good morning! So, what this question wants us to do is find each y value given its x value. Without the function it gives us already, this would be pretty difficult.
It gives us a function rule of y=2x+3. This means that we need to plug in each x value into the equation and solve for y. Let’s work on these first three.
y=2x+3} x=-4
y=2(-4)+3
y=-8+3
y=-5
So, if x=-4, then y=-5.
y=2x+3} x=-2
y=2(-2)+3
y=-4+3
y=-1
So, if x=-4, then y=-1.
y=2x+3} x=0
y=2(0)+3
y=0+3
y=3
So, if x=0, then y=3.
Try out the last one, and if you have any questions, comment below! Here are some extra x values if you need more practice.
Using the same function rule, y=2x+3, try to find the y value if x=-6, x=-3, x=5, or x=6.
Answer:
6 days ; 2300 calories
Step-by-step explanation:
Given the following :
Current consumption :
Simba = 1520 calories per day
Increases by 130 calories per day : After d days ;
S(d) = 1520 + 130d
Where ; d = number of days
Cuddle = 3380 calories
Decreases by 180 calories each day; after d days ;
S(d) = 3380 - 180d
Pattern continues until they both consume same number of calories each day
S(d) = C(d)
1520 + 130d = 3380 - 180d
130d + 180d = 3380 - 1520
310d = 1860
d = 6
Number of calories they will be consuming them ;
Using : S(d) = 3380 - 180d
S(6) = 3380 - 180(6)
S = 3380 - 1080
S = 2300
They will be consuming 2300 calories by then.
The answer is C if you think think about it