Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (-2, 0)
Point (3, 4)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.
- Substitute [SF]:
- Subtract/Add:
The best answer would be be C.20
Answer:
The dog will catch the cat at 33.33 sec
Step-by-step explanation:
Let
x------> distance the cat runs before being caught by the dog,
Remember that
The speed is equal to divide the distance by the time
v=d/t
solve for t
t=d/v
so
equate the time
x/24=(200+x)/30
30x=24(200+x)
30x=4,800+24x
30x-24x=4,800
x=4,800/6=800 m
t=d/v=800/24=33.33 sec
or
t=(800+200)/30=1,000/30=33.33 sec
Step-by-step explanation:
With the given points, we can first find the gradient of the line:
gradient = (2+1)/(-4-8)
= -1/4
We also know that the formula of a straight line is
Y = mX+C, where m is gradient and C is y intercept.
Hence by substituting the coordinates (-4, 2) and the gradient -1/4, we get:
2 = (-1/4)(-4) + C
<u>C = 1</u><u>.</u> Hence, Answer is C.
(Actually, you can just draw a straight line connecting the 2 coordinates and find out the y intercept)
