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qaws [65]
3 years ago
6

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 w

ill 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?
Mathematics
2 answers:
garik1379 [7]3 years ago
8 0
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
hodyreva [135]3 years ago
7 0

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=\frac{-7-7}{-2-5}(x-5)

y-7=\frac{-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=\frac{9+5}{-4-3}(x-3)

y+5=\frac{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).

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2 + 10 = 24<br>3 + 6 = 27<br>7 + 2 = 63<br>5 + 3 = ????​
True [87]
  • Answer:

<em>40</em>

  • Step-by-step explanation:

<em>2 + 10 = 24</em>

<em>2(2 + 10) = 2×12 = 24</em>

<em>3 + 6 = 27</em>

<em>3(3 + 6) = 3×9 = 27</em>

<em>7 + 2 = 63</em>

<em>7(7 + 2) = 7×9 = 63</em>

<em>5 + 3 = 40</em>

<em>5(5 + 3) = 5×8 = 40</em>

7 0
3 years ago
HELP ME PLEASE ASAP?!?What is the value of y?
Snezhnost [94]
Answer: y = 57°

Explanation: 180-114 = 66°

A triangle has a total of 180° so 180-66 = 114

114 / 2 = 57° (because angles y and y have the same value)

Hope this helps :)
7 0
2 years ago
Graph y = f(x) = 3(2)x. Adjust the equation to make the y-intercept (0, −3). Which response is not correct?
Sauron [17]

Answer:

Replace x with −x.

f(x) = 3(2)−x is not correct because the y-intercept is (0, 3).

the answer is B

Step-by-step explanation:

5 0
3 years ago
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How do you work out the value of x?
denis23 [38]

Answer: 45

Step-by-step explanation:

The total degrees in a circle is 360.

The perpendicular angle that you see is 90 degrees, added to angles of x and 3x, you get the total degrees.

so 90 + x + 3x = 90 + 4x = total

90 + 4x = 360

4x = 180

x = 45 degrees

6 0
3 years ago
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Can someone please help me with this question.
GenaCL600 [577]

A different way to do this is doing adding

1.) 3/4 + 3/4 + 3/4 + 3/4 = 12/4 = 3

Another way is reducing

12/4 = 3

I hope this helps

8 0
3 years ago
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