A car and a limo each drive along a straight road between two points. Using the points on a map that the city created, the car will start at (5, 7) and will stop at (–2, –7), while the limo will start at (3, –5) and will stop at (–4, 9).What are the coordinates of the intersection that the car and the limo both drive through?

Answers

Answer 1

Answer: The path of the car and the limo are straight lines. To determine the equation of the lines of the paths, the slopes must be determined. Let m1 = slope of car m2 = slope of limo so, m1 = (7 + 7)/(5 + 2) = 2 m2 = (-5 -9)/(3+4) = -2 therefore the equations are car: 2x – y = 2(5) –(7) 2x – y = 3 Limo: 2x + y = 2(3) – 5 2x + y = 1 Solving the intersection of the equations (using a calculator) x = 1 y = -1

Answer 2

Answer:

Answer:

(1,-1)

Step-by-step explanation:

Given,

The starting point of the car is (5,7) and end point of the car is (-2,-7),

So, the equation that represents the position of car,

$y-7=(-7-7)/(-2-5)(x-5)$

$y-7=(-14)/(-7)(x-5)$

$y-7=2(x-5)$

$y-7=2x-10$

$\implies 2x-y=3-----(1)$

Similarly, the start point of the limo is (3,-5) and end point of the limo is (-4,9),

So, the equation that represents the position of limo,

$y+5=(9+5)/(-4-3)(x-3)$

$y+5=(14)/(-7)(x-3)$

$y+5=-2(x-3)$

$y+5=-2x+6$

$2x+y=1----(2)$

Adding equation (1) and (2),

4x = 4 ⇒ x = 1

From equation (1),

2(1) - y = 3 ⇒ -y = 3 - 2 ⇒ -y = 1 ⇒ y = -1

Hence, the intersection point of line (1) and (2) is (1,-1).

Related Questions

Toni measured the height of her bedroom doorway with a measuring tape. She measured the height as 171 cm. The doorway’s actual height is 182.8 cm.What is the percent error in Toni’s measurement? Round to the nearest tenth of a percent, if necessary.A.0.12%B.6.5%C.6.9%D.11.8%
How do i find the answer to this problemBlank divide by 9=45
How many gallons is 32 quarts
Complete the pattern 5,10,30,60,180, ?
Which shows 5.45 written as a mixed number?

Simplify the following fraction (9/16/1/4)-1/5

Answers

Answer: $(41)/(20)$

Step-by-step explanation:

The first step is to make the division of the fractions $(9)/(16)$ and

$(1)/(4)$ . To do this, you can flip the fraction $(1)/(4)$ over and multiply the numerators and the denominators of the fractions. Then:

$(((9)/(16))/((1)/(4)))-(1)/(5)=((9)/(16)*4)-(1)/(5)=(36)/(16)-(1)/(5)$

Reduce the fraction $(36)/(16)$ :

$=(9)/(4)-(1)/(5)$

Now you can make the subtraction: in this case the Least Common Denominator (LCD) will be the multiplication of the denominators. Divide each denominator by the LCD and multiply this quotient by the corresponding numerator and then subtract the products. Therefore you get:

$=(45-4)/(20)=(41)/(20)$

peter owns a lawn mowing service . For ever 3 hours of lawn mowing,Peter charges $28.80.Write an equation that models the relationship the total charge, y, and the number of hours, h, that peter works

Answers

soooo our equation would look like this

3($28.80h) = y

hopefully thats correct
but anyways dont forget to
MARK ME BRAINLIEST! :D

First, translate the expression '' x is equal to 6 less than the length'' w= L - 6
Then, draw a picture and replace the width with L - 6
Then come up with the perimeter of the rectangle.

A 4L + 12
B 4L - 12
C 2(6 - L ) + 2L
D 2( L- 6) + 2L
E 12 + 2L + 2L

Answers

Answer:

B 4L- 12

D 2(L -6) + 2L

Step-by-step explanation:

Perimeter is 2w + 2l, width is 6 less that length, so substitute it for w:

2w + 2l =

2(L - 6) + 2l =

2l - 12 + 2l =

2l + 2l - 12 =

4L - 12

The answer is b and d

B and d hope this helps

find a two-digit number such that three times the tens digit is 2 less than the unit's digit and twice the number is 20 greater than the number obtained by reversing the digits.

Answers

Let's name these two digits as a (tens digit) and b (units digit) and then rephrase the problem statement using a and b.

The part of the sentence "three times the tens digit is 2 less than twice the units digits" translates into:

3a = 2b - 2

Considering that both a and b have to be integer numbers less than 10 and that a will have to be an even number

(since 2b - 2 is always even and for 3a to be even, a will have to be even),

the only possible options that will satisfy this equation are: 47 and 24.

The second part of the problem statement does not make much sense.

What exactly is twice the number obtained by reversing the digits?

In case of 47, twice the number obtained by reversing the digits is 2*74 = 148.

In case of 24, twice the number obtained by reversing the digits is 2*42 = 84.

Determine whether the number 10/9 is closest to 0, 1/2, or 1

Answers

Simply do the division to get a decimal. When you divide 10/9 you get: 1.111...
This number is closer to 1.
Hope that helps!

the answer to your promble is it is closer to one

2. Brian went to the store for fruit for hislunch this week. He puts all his fruit in a
bag and randomly chooses a fruit every
morning. He bought 5 oranges, 3 apple, 3
bananas and 1 kiwi. What is the probability
of him choosing a banana then a kiwi for
the third day?

Answers

Answer:

30% chance the reason I say that is because he only has 1 kiwi and for the most part he would choose the Kiwi first don't quote me on that just trying to help

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