Answer:
1. 5/3 cm
2. 10 in
Step-by-step explanation:
1. The length of a rectangle is 4 cm more than 3 times its width.
Let the length be L and the width B
Then,
L = 4 + 3B
If the area of the rectangle is 15 cm2
Area = LB = 15
B(4 +3B) = 15
3B² + 4B - 15 = 0
3B² - 5B + 9B - 15 = 0
B(3B - 5) + 3(3B - 5) = 0
(3B - 5)(B + 3) = 0
3B - 5 = or B + 3 = 0
B = 5/3 or -3
since B cannot be negative, B = 5/3 cm
2. The ratio of length to width in a rectangle is 2 ∶ 3.
Let the length be L and the width B
Then,
L/B = 2/3
2B = 3L, B = (3/2)L
when the area is 150 in2.
Area = LB = 150
(3/2)L² = 150
L² = 150×2÷3
L² = 100
L = √100
L = ±10
since the length cannot be negative, L = 10 in
Answer:
y=11
Step-by-step explanation:
your slope when you use y2-y1
---------
x2-x1
will become -12/0 so the equation will be y=11
Answer:Answer:
the added person age is 26
Step-by-step explanation:
let the added person age is A
the six person mean is (23+19+12+21+13+A)/6=19
=> 88+A/6=19
=>A=(19×6)-88
there fore A=26
Answer:
page 3 graph on the left
Step-by-step explanation:
the graph will shift down 8 and to the right 4
3679578475848 that's the answer