Answer:
y = (1/2)x - 3 Answer A is closest.
Step-by-step explanation:
Two points on the line are (0, -3) and (4, -1). Notice that I've intentionally chosen "nice" points whose coordinates are integers; this makes the math easier. The point (1, -5/2) is also on the line if you want to use it, but the math's a bit more complicated.
Going from (0, -3) to (4, -1), x increases by 4 and y increases by 2. Hence, the slope of this line is m = rise / run = 2/4, or m = 1/2.
The slope-intercept formula for the equation of a straight line is the most convenient to use here, since we can tell immediately from the graph that the y-intercept is (0, -3):
y = (1/2)x - 3
Answer A should be y = (1/2)x - 3 for improved legibility. 1 2 x is not correct as a way to express (1/2)x.
Answer:
x=2,x=7
Step-by-step explanation:
-3x^2+27x=42
x^2-9x+14=0
x^2-2x-7x+14=0
x*(xi2)-7(x-2)=0
(x-2)*(x-7)=0
x-2=0
x-7=0
x=2
x=7
Answer: E, A, D, C, B
Step-by-step explanation:
First, we need to get y alone. So we will add 7 to the side of the equation that has the 4y in it.
So the first one will be.
<em><u>Add 7 to both sides of the equation.</u></em>
Now the second one is
<em><u>4y = 25 + 7 </u></em>Because what you do to one side of the equation, you do to the other. So we add 7 to 25.
Then the 3rd one will be <u><em>4y = 32 </em></u>because 25+7 is equal to 32. But we still have that 4y on the other side of the equation. So the next equation is 4y = 32.
The second to last step is <em><u>Divide both sides by 4 </u></em>because thats
how you isolate y. So once you divide both sides by 4. You will get 8. Leading you into the next and final step.
<em><u>Y = 8</u></em>
And thats how you do it!
Answer:
8 kilometers per hour.
Step-by-step explanation:
1-If you multiply the hours of the trip back (which is 4 hours) and the kilometer per hour (6 km/h) you will get 24.
2-Do the same thing with the trip there and you will get 3 hours multiplied by *blank* equals 24.
3-the blank is 8 kilometers per hour. And I wrote equal 24 to mean that the distance to Guam was 24 kilometers.
Answer:
1200 ft²
Step-by-step explanation:
We assume that we want the total surface area, which includes the curving sides and the flat ends.
1. Curving sides: We are actually finding the area of a flat piece of material whose length is C = 2πr and whose width is the height of the cylinder, h. Then this side area is A = 2πrh. Here, that area is
A = 2π(15 ft)(25 ft) = 750π ft²
2. Ends: The end area is A = πr², and there are two ends.
The total area of the ends is A = 2πr², which here is A = 2π(15 ft)², or
A = 450π ft².
Thus, the total exact surface area of this cylinder is
A = 450π ft² + 750π ft² = 1200 ft²
