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Hoochie [10]
4 years ago
8

A car leaves a town at 110 kilometers per hour. how long will it take a second car, travelling at 135 kilometers per hour, to ca

tch the first car if it leaves 1 hour later?
Mathematics
1 answer:
Natalka [10]4 years ago
3 0

Let t = travel time of the second car

then, (t+1) = travel time of the first car (since the first car starts start 1 hr before the second car)

When the second car catches the first car, they will have traveled the same distance

Write a distance equation: dist = speed * time

135*t = 110*(t+1)

135t = 110t + 110

25t = 110

t =110/25

t = 22/5 hours or 4.4 hours

Since 0.4 hours corresponds to 0.4*60 = 24 minutes, the total time is 4 hours and 24 minutes

So, the second car will catch the first car in 4 hours and 24 minutes

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Here is the problem.....√(15x + 10) = 2x+3

to remove the square root, we do the opposite which is to square everything.

(√(15x + 10))² = (2x + 3)²      (the square negates the square root)
15x + 10 = (2x +3)(2x + 3)    (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9  (combine like terms)
15x + 10 = 4x² + 12x + 9      (subtract 15x and 10 from each side)
-15x - 10          -15x - 10
0 = 4x² - 3x - 1                      (factor completely)
(x - 1) (4x + 1)                    (set each to equal 0)

x - 1 = 0                4x + 1 = 0
x = 1                      4x = -1
                               x = -1/4

place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.

answer is 1
4 0
3 years ago
???????????????????????
drek231 [11]

Answer:

x ≅ 7

Step-by-step explanation:

cos(67°) = x/18

x = 18cos(67°) ≅ 7

7 0
3 years ago
50+ POINTS I NEED HELP
olga nikolaevna [1]

Answer:

<u><em>21 yard line</em></u>

Step-by-step explanation:

Ok we start out on the 20 yard line, we need to add the yards together.

<em>We add the 6 to the 20:</em>

20+6=26

<em>Then we subtract the 8 yards from our new 26:</em>

26-8=18

<em>Then we add the 18 by 3:</em>

18+3=21

Therefore,

<em>The Answer is 21 Yard Line.</em>

Hope I could help, If you need some more assistance ask me!

8 0
3 years ago
Why does a y-intercept not count as a zero?
Genrish500 [490]

Answer:

It only counts as a zero when the y-intercept is (0,0).

Step-by-step explanation:

The zeros of a quadratic function are always written as (x,0), while the y-intercept is always written as (0,y). Therefore, in order for a y-intercept to be a zero, it must be (0,0), because the y-coordinate in any zero is 0. At any other time, the y-intercept is not a zero.

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4 years ago
The abdominopelvic region that is bordered by all four imaginary lines is the
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Umbilical point.

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