Answer:
1,2,4,5,6
Step-by-step explanation:
Answer:
ab - bc = 6
Step-by-step explanation:
COMPUTATION:
ab - bc = ?
(2 x -3) - (-3 x 4) = ?
(-6) - (-3 x 4) = ?
(-6) - (-12) = ?
-6 + 12 = 6
Hope this helps!
Answer:
A. 24 lap/hour.
B. r = 24h
Step-by-step explanation:
Let r be the number laps.
Let h be the time.
From the question given above, the number of laps (r) Jessica runs around the track is proportional to the time (h) she spend running. This can be written as:
r & h
r = Kh
Where:
r is the number of laps.
K is the constant of proportionality.
h is the time.
A. Determination of the constant of proportionality.
With the above formula, we can calculate the value of the constant of proportionality, K as follow:
Number of laps (r) = 12 laps
Time (h) = ½ hour
Constant of proportionality (K) =.?
r = Kh
12 = K × ½
12 = K/2
Cross multiply
K = 12 × 2
K = 24 lap/hour
Therefore, constant of proportionality is
24 lap/hour.
B. Equation for relationship between the number of lap and time. This is illustrated below:
r = Kh
K = 24
r = 24h
Therefore, the equation for relationship between the number of lap and time is r = 24h
Answer:
16.5
Step-by-step explanation:
Look at the relation between the 2 sides that you have measurements for. One is 16cm, the other 24cm. This means that triangle 2 is 1.5 times larger than triangle 1. Multiply the known measurement from tringle 1, 11cm by 1.5 and you get 16.5 cm
2x^2 + 16x + 34 = 0
x^2 + 8x + 17 = 0
x^2 + 8x + 16 = -17 + 16 = -1
(x + 4)^2 = -1
x + 4 = sqrt(-1) = ±i
x = -4 <span>±</span> i
