Answer:
Isosceles Triangle
Step-by-step explanation:
Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral?
We solve this question using vertices formula:
√(x2 - x1)² + (y2 - y1)² when given vertices: (x1, y1) and (x2 , y2)
For Side AB
A(-5, -1), B(5, -1)
AB = √(5 - (-5))² + (-1 -(-1))²
AB= √(5 + 5)² + (-1 + 1)²
AB = √10² + 0
AB = √100
AB = 10 units
For Side BC
B(5, -1), C(0, -4)
BC = √(0 - 5)² + (-4 -(-1))²
BC = √-5² + (-4 + 1)²
BC = √25 + -3²
BC = √25 + 9
BC = √34
For Side AC
A(-5, -1), C(0, -4).
AC = √(0 - (-5))² + (-4 - (- 1)²
AC = √5² + -3²
AC = √25 + 9
AC = √34
Therefore this triangle is an isosceles triangle because 2 of its sides (AC and BC ) are equal to one another
let's call the children "c" and the adults "a"
the total # of people in the restaurant = c+a
so 2/9 of (c+a) = a
therefore 2/9c + 2/9a = a
and a + 95 = c since there are 95 MORE children.
Let's substitute a+95 for c in the equation 2/9(c+a) = a
this gives us 2/9(a+95 + a) = a
then 2/9 a + 2/9(95) + 2/9(a) = a
so 4/9a +190/9 = a
and 190/9 = 5/9 a
so 190 must = 5a
finally a = 38 so c must = 38 + 95 = 133 there are 133 children
Answer:
30 mph
Step-by-step explanation:
Answer:
9.76m²
Step-by-step explanation:
The area of the square is
where s=8m is the side length.
This means that:
The area of a circle is
From the diagram, the diameter is 8m.
This means that the radius is
The area of the circle then becomes,
The area of shaded region is area of square minus area of circle.
Answer: Translate the graph of y=|x| 6 units to the right.
