Answer:
Step-by-step explanation:
Firstly, we can simplify the ratio of boys to girls to
1
:
2
.
Then, to find out how many students each ratio represents, we add up
1
and
2
to get
3
(
1
+
2
=
3
).
By dividing
3
by the number of students, we can find how many students ONE ratio represents:
24
3
=
8
.
So ONE ratio is equal to
8
boys. Since our simplified ratio of boys to girls is
1
:
2
already, we do not have to do further multiplying - the number of boys is simply
8
.
For the girls, simply multiply
2
by
8
to get
16
.
Check:
8
boys
+
18
girls
=
24
students
.
9514 1404 393
Answer:
38
Step-by-step explanation:
The graph shows all of the sides of the figure aligned with the axes except side ST. Its length can be found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((7 -(-5))² +(-2 -3)²) = √(144 +25) = 13
Then the perimeter is the sum of the side lengths:
13 + 4 + 12 + 9 = 38
The perimeter of STUV is 38 units.
Answer: a
Step-by-step explanation:
Answer: y=–2x–5
Step-by-step explanation:
The equation of a straight line:
y=mx+c
m must be the same for the two lines to be parallel.
y=mx+c
y=–2x+8 → m=–2
For a new equation:
x=–1, y=–3, m=–2, c=?
y=mx+c → –3=–2×(–1)+c
–3=2+c
c=–5
So:
y=–2x–5
