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harkovskaia [24]
2 years ago
13

with Judy jogging north and Jackie jogging west (on straight roads). When Jackie is 1 mile farther fro m the intersection than J

udy, the distance between them is 2 miles more than Judy’s distance from the intersection. How far is Jackie from the intersection?
Mathematics
1 answer:
miskamm [114]2 years ago
4 0
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.

We convert the given information to equations, step by step.

Point 1: When Jackie is 1 mile farther from the intersection than Judy.

This means y is 1 mile more than x.

So,

y = 1 + x

Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection. 

Distance between is x+ y.

So, x+y is 2 miles more than y.

x+y = y + 2
⇒
x = 2

From point 1 we have:

y = 1 + x = 1+ 2 = 3

So,

Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
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const2013 [10]

Answer:

Combine like terms for the than you do to other side the multiply last for least you divide both sides

Step-by-step explanation:

4 0
2 years ago
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
wolverine [178]

Answer:

y=3/2x+1

Step-by-step explanation:

y-4= -⅔(x-6)

y-4=-⅔x+4

y=-⅔x+4+4

(equation of line 1) y= -⅔x+8 gradient= -⅔

(line 2)gradient=3/2

note* the gradients of perpendicular lines multiplied result to -1

gradient=<u>y²-y²</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x²-x¹

<u>3</u><u> </u>=<u>y</u><u>+</u><u>2</u>

<u> </u><u> </u>2. x+2

multiply both sides by 2(x+2)to remove the denominators

3(x+2)=2(y+2)

3x+6=2y+4

3x+6-4=2y

3x+2=2y

divide all sides by 2

3/2x+1=y

y=3/2x+1

8 0
2 years ago
What is the reason for step 3 of this proof?
Reika [66]
Answer: D

Explanation:

It should be vertical angles theorem
8 0
3 years ago
The temperature on Mars is -85°F and the temperature in the clouds of Jupiter is
Burka [1]
It’s b because it’s -85 f so the planet is colder
6 0
3 years ago
Which one is it A. B. C. or D.
nadya68 [22]
7x + 2y = 2
2x - y = 10

2y = - 7x + 2
- y = - 2x + 10

2y = -7x + 2
y = 2x - 10

y=\frac{-7x+2}{2}
y= 2x - 10

y = -3.5x + 1
y =  2x - 10

Now, let's find "x" first by doing a substituion !

2x - 10 = - 3.5x + 1
y = 2x - 10

2x + 3.5x = 1 + 10
y = 2x - 10

5.5x = 11
y= 2x - 10

x =  \frac{11}{5.5}=2
y= 2*2 - 10 = 4 - 10 = -6

In short, the answer would be : y = -6 (Option B).

Hope this helps !

Photon



8 0
3 years ago
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