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Allisa [31]
3 years ago
11

Andrew walks along a road which can be modeled by the equation y=3x, where (0,0) represents his starting point. When he reaches

the point (12,36), he turns right, so that he is traveling perpendicular to the original road, until he stops at a point which is due east of his starting point (in other words, on the x-axis).
What is the point where Andrew stops?
Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

(120,0)

Steps:

y-36=-1/3(x-12)

(0)-36=-1/3(x-12)

(-3)(-36)=x-12

108=x-12

120=x

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WILL MARK BRAINLY IF CORRECT!
bogdanovich [222]

Answer:

15

Step-by-step explanation:

The given equation is

12( -  \frac{1}{6}x  -  \frac{2}{3}y =  - 5)

5( \frac{2}{5} x +  \frac{1}{5} y =  - 9)

When we multiply we obtain the equations:

- 2x  -  8y =  - 60

2x + y =  - 45

We add both equations to obtain:

- 7y =  - 105

Divide both sides by -7 to get:

y =  \frac{105}{7}  = 15

6 0
3 years ago
The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct
lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

y=\dfrac{x}{1+x}

Point P\left(1,\dfrac{1}{2}\right) lies on the curve.

Point Q\left(x,\dfrac{x}{1+x}\right) is an arbitrary point on the curve.

The slope of the secant line PQ is

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]

1. If x=0.5, then the slope is

\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333

2. If x=0.9, then the slope is

\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632

3. If x=0.99, then the slope is

\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513

4. If x=0.999, then the slope is

\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501

5. If x=1.5, then the slope is

\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2

6. If x=1.1, then the slope is

\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381

7. If x=1.01, then the slope is

\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488

8. If x=1.001, then the slope is

\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499

7 0
3 years ago
4 + 3x = 3х + 5<br> 4 = 5
Inessa [10]

Answer:

4≠5

There is no solution

Step-by-step explanation:

7 0
3 years ago
Cheyenne is making a recipe that uses 5 cups of beans and 2 cups of carrots wich combination below uses the same ratio of beans
amid [387]

Answer:

5/2

Step-by-step explanation:


4 0
3 years ago
What is the solution for this inequality? -7x &lt; -42 what is the answer and is it greater or less then x
Tom [10]
Our given inequality is:
-7x < -42
To solve for the inequality, we need to simplify for x and ensure we've carefully answered the question.
Currently, x is being multiplied by -7.
To get x by itself, we need to perform the opposite of what's being done.
Remember, what you do to one side of an equation/inequality, you must do to the other.

The opposite of multiplying is dividing.
Divide -7x by -7 to get x.

-7x / -7 = x
-42 / -7 = 6 (Dividing a negative by a negative makes a positive, the same goes with multiplying)

You're left with x < 6

When we divide/multiply by a negative, we need to flip the inequality with the opposite value.

Your final inequality is:
x _> 6

I hope this helps you. :)
7 0
2 years ago
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