Answer: b. -2x+3y=12
Step-by-step explanation: the y intercept is 4, and the line intercepts the x- axis at -6. Therefore, the slope of the line is 4/6=2/3. The format for a linear equation is y=(slope)x+y intercept. So the equation would be y=2/3x+4. You can see that answer b simplifies to that. Add 2x from both sides of the equation and you get 3y=2x+12. Divide both sides of the equation by 3 and you get y=2/3x+4
Rate of Change:
At 1 mile in 30 seconds.
At 5 miles in 2.5 minutes. 2.5 minutes = 2.5*60 = 150 seconds.
Rate of change = Change in height / Change in time
= (h₂-h₁)/(t₂-t₁)
= (5 -1) /(150 -30) = 4/120 = (1/30) = 0.0333 miles per second.
= (1/30) miles per second or 0.0333 miles per second.
To have the answer in miles per minute.
(1/30) miles per second = (1/30) miles/second.
60 seconds = 1minute
1 second = (1/60) minute.
(1/30) miles/second = (1/30) miles/(1/60)minute
= (1/30) *60 miles / minute
= 2 miles per minute.
Answer:
w = 21.4 ft
Step-by-step explanation:
Area of Trapezoid = Area = (a+b)/2 * h
Where a and b are the bases of trapezoid, and h is the height.
In the figure we are given:
a= 32.3 ft
b=w=?
h= 22.9 ft
Area = 614.865 ft²
Putting values in formula
Area = (a+b)/2 * h
614.865 = (32.3 + w) / 2 * 22.9
1229.73 = 32.3 + w * 22.9
1229.73 / 22.9 = 32.3 +w
53.7 -32.3 = w
=> w = 21.4 ft
The correct answer should be C to this question
Answer:
51
Step-by-step explanation:
a squared+2 squred=c
7×7- 10×10= 49-100= 51
c= 51
find square root of it 51= 7.14
