88 feet in 2 seconds
how many feet in 1 minute?
1 minute is 60 seconds
so, we can write a proportion and solve
feet/ seconds = feet/seconds
88/2 = x / 60
cross multiply
(88 * 60 ) = 2 * x
5280 = 2x
divide both sides by 2
2640 = x
To check:
88/2 =?= 2640 / 60
44 = 44
So the car travels 2640 feet in 60 seconds, or 1 minute.
(btw just in case you wanted to know also, 2640 feet is equal to 0.5 of a mile, that car travels 0.5 miles in 1 minute)
Hope this helps
Answer:
C.
Step-by-step explanation:
Before graphing this equation we first need to isolate y on one side like so...
y + 2 = 3(x+1) ... distribute the 3 to both values inside the parenthesis
y + 2 = 3x + 3 ... subtract 2 on both sides
y = 3x + 1
Now that we have the y variable isolated we see that the slope of the function is 3, meaning that for every 1 unit right the line needs to move 3 units up. We also have the value where the line needs to cross the y-axis and that is 1. Using this information we see that the correct graph is C.
A quadratic in vertex form reads as
(<em>x</em> - <em>a</em>)² + <em>b</em>
where (<em>a</em>, <em>b</em>) is the vertex.
To get the given quadratic in this form, complete the square:
<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 6<em>x</em> + 9 - 49 = (<em>x</em> - 3)² - 49
Or, work backwards by expanding the vertex form and solving for <em>a</em> and <em>b</em> :
(<em>x</em> - <em>a</em>)² + <em>b</em> = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>
So if
<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>,
then
-2<em>a</em> = -6 → <em>a</em> = 3
<em>a</em>² + <em>b</em> = -40 → <em>b</em> = -49
Answer:
4 V + 4 (V - 60) = D where D is distance apart after 4 hrs
8 V - 240 = 7304
V = 943 km/hr
and V2 = 943 - 60 = 883 km/hr where second plane is 60 km/hr slower
Answer:
1035.33 feet
Step-by-step explanation:
OBH is a triangle and the sum of the angles of a triangle = 180
∠OBH = 90°
∠OHB = 180 -(49 + 90) = 41°
The law of sines that the ratio of each side of a triangle to the sin of the angle opposite it is the same
Thus
A/sinα = B/sinβ = C/sinγ
where A, B and C are the three sides of the triangle and α, β, γ corresponding respectively to the angles opposite them.
Using the law of sines
Therefore BH which is the height the helicopter is flying at is
≈ 1035.33 feet
