Answer:
-3.5
Step-by-step explanation:
To find the slope we use
m = (y2-y1)/(x2-x1)
= (-15-20)/(-6 - -16)
=(-15-20)/(-6+16)
-35/10
= -3.5
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Answer:
- base: 2.18 m
- height: 7.35 m
Step-by-step explanation:
Let b represent the base of the triangle in meters. Then the height is ...
h = 3 +2b
and the area is ...
A = 1/2bh
8 = 1/2(b)(3 +2b)
16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses
2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square
2(b +3/4)^2 = 17.125
(b +3/4)^2 = 8.5625 . . . . . divide by 2
b + 0.75 = √8.5625 ≈ 2.9262
b = -0.75 +2.9262 = 2.1762
h = 3 +2b = 7.3523
The base is about 2.18 meters and the height is about 7.35 meters.
Answer:
5
Step-by-step explanation:
first multiply 3 by 7 as 3x7=21
again find the square of 4 as 4^2=16
finally, subtract 16 from 21 as 21-16= 5
Answer:
Option D)R: {0 ≤ y ≤ 360}; The range represents the number of miles the car can travel
Step-by-step explanation:
The table in the attached figure
Let
x -----> the amount of gas used in gallons (independent variable)
y ----> the number of miles the car can travel (dependent variable)
In this problem
The domain is the interval -----> [0,12]

The range is the interval ----> [0,360]

Answer:
The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.
explanation:
I'm bad with explaining things, but I'll try my best to explain why this is the right answer.
12 + 6n ≥ 30, so n ≤ 3
let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).
Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.
Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.
I hope this helps, and sorry if my explanation is hard to understand lol.