Answer:
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u>
- The slope of the line in the graph is 4.
And we need to find the equation of the line. On looking at the graph we see that , it cuts y axis at (0,3) .So the y Intercept of the equation is 3 .
<u>Slope</u><u> Intercept</u><u> Form</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Substituting</u><u> the</u><u> respective</u><u> values</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> </u><u>line </u><u>is </u><u>y </u><u>=</u><u> </u><u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u>
For this case we have the following equation:
h = -16t ^ (2) + 30t + 6
We substitute the value of h = 10 in the equation:
10 = -16t ^ (2) + 30t + 6
Rewriting we have:
0 = -16t ^ (2) + 30t + 6-10
0 = - 16t ^ (2) + 30t - 4
We look for the roots of the polynomial:
t1 = 0.144463904
t2 = 1.730536096
"the ball passes its maximum height, it comes down and then goes into the hoop". Therefore, the correct root is:
t = 1.730536096
Answer:
It goes into the hoop after:
t = 1.73 seconds
The 9 combinations that exist for two movements:
R,R
R,L
R,U *
L,R
L,L
L,U
U,R *
U,L
U,U
Walker would only be able to make it to (1,1) with only 2 of these combinations.
So if he were only allowed to make two movements, his chances of arriving at (1,1) would be 2/9.
Answer:
Step-by-step explanation:
Grocery Store
12 mi / 3 cm = x / 2.5 cm Cross multiply
12 * 2.5 = 3 * x Multiply
30 = 3x Divide by 3
30/3 = x
x = 10 miles
Library
12 mi / 2 cm = x / 1.5 Cross multiply
12 * 1.5 = 2x
18 = 2x Divide by 2
18/2 = x
9 miles
The library is closer than the grocery store.
We will have to use the distance formula in order to determine the lengths of each side of the triangle.
Distance formula:

Let's calculate AB first:
A (1, 7) and B (-2, 2)
A: x1 = 1 and y1 = 7
B: x2 = -2 and y2 = 2
so



AB =

or (rounded to the nearest tenth) ≈ 5.8
Now let's do BC:
B: x1 = -2 and y1 = 2
C: x2 = 4 and y2 = 2
So


BC =

or 6
Now let's do CA
C: x1 = 4 and y1 = 2
A: x2 = 1 and y2 = 7
So



CA =

or (rounded to the nearest tenth) ≈ 5.8
So let's recap:
AB ≈ 5.8
BC = 6
CA ≈ 5.8
So AB and AC are the same length while BC is .2 units longer which means this is an
isosceles triangle.