Answer:
Step-by-step explanation:
use the distance formula to find the lengths of all the sides of the triangle, if all of the sides are the same, its an equilateral. If the sides are different in this case it is a right. You can check this by using the Pythagorean theorem. the distance formula is the square root of (x2-x1)^2+(y2-y1)^2
for the coordinates make sure that you don't mix them up, if you pair the wrong coordinates up, it won't work
(x1,y1) (x2,y2)
Answer:
84 students
Step-by-step explanation:
Let x be the number of adults.
Then the number of children is 2x, according to the condition,
and the number of students is the rest (315-x-2x) = (315-3x).
The "money" equation (the revenue equation) is
12x + 5x(2x) + 7x(315-3x) = 2282.
12x + 10x + 7x315 - 21x = 2282
x = 2282 - 7x315 = 77 is the number of adults.
77 adults :2 x 77 = 154 children and the rest (315-77-154) = 84 students.
Answer:
n = - 10
Step-by-step explanation:
10(-3n + 8) = 380
-30n + 80 = 380
80 - 380 = 30n
30n = - 300
n = - 300 : 30
n = - 10
Answer:
The answer is C=6p3 + 29p2 + 22p – 21
Step-by-step explanation:
To calculate the product, we need to multiply each member of each multiplier:
(2p + 7)(3p2 + 4p – 3) = 2p · 3p² + 2p · 4p + 2p · -3 + 7 ·3p² + 7 · 4p + 7 · -3
= 6p³ + 8p² - 6p + 21p² + 28p - 21
= 6p³ + 8p² + 21p² + 28p - 6p -21
= 6p³ + 29p² + 22p - 21
Therefore, the product of (2p + 7)(3p2 + 4p – 3) is 6p³ + 29p² + 22p -21
Answer:
36
Step-by-step explanation:
F(b)=4.5b
F(8)=4.5(8)
F(8)= 36