9514 1404 393
Answer:
- perimeter: 22.81 units
- area: 24 square units
Step-by-step explanation:
The lengths of the sides can be found using the distance formula.
d = √((x2 -x1)^2 +(y2 -y1)^2)
AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10
BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2
The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.
Then the perimeter is ...
P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units
__
The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...
A = 1/2bh
A = 1/2(8)(6) = 24 . . . square units
I'm not sure I I think its C let me know if its right
Answer:
u-shaped; y-intercept (0,6); symmetrical with respect to the y-axis
Step-by-step explanation:
Given that y = 2x² + 6
The graph would be the shape of that of a parabola. It can be u shaped or n shaped depending on the value of the coefficient of a comparing with the standard equation y = ax² + bx + c. If a > 0, it is u shape and if a < 0, it is n shape.
For this question, since a > 0 it would be u shaped and the intercept can be gotten by putting x = 0.
Therefore y = 0² + 6 = 0
The intercept is at (0,6) and is symmetrical with respect to the y-axis
Answer:
<u>Cost in US$ = 12 - 16 - 24 - 36 - 40</u>
<u>Number of tickets = 3 - 4 - 6 - 9 - 10</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
For a high school basketball game, it cost's US$ 12 for every 3 tickets.
It means that every ticket costs US$ 4 (12/3 = 4)
2. Let's complete the table below
<u>Cost in US$ = 12 - 16 - 24 - 36 - 40</u>
<u>Number of tickets = 3 - 4 - 6 - 9 - 10</u>
For US$ 16 = 4 * 4
For US$ 24 = 6 * 4
For US$ 36 = 9 * 4
For US$ 40 = 10 * 4
So much clearer! Thank you (seriously).
Use the point-slope form of the eq'n of a str. line. Find the slope first:
0-(-2.5) 2.5
m = ------------- = -------- = 1/2
5 - 0 5
Then, y-0 = (1/2)(x-5)
Which answer choice do you believe matches this?