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abruzzese [7]
3 years ago
5

Ariel was told the x intercept and the y intercept of a line with a positive slope. Yet, it was impossible for Ariel to find the

slope of the line. What can you conclude about this line?
Mathematics
1 answer:
alexdok [17]3 years ago
8 0

A line has the following standard equation form:

y = m x + b

where m is the slope and b is the y intercept

 

So if Ariel cannot find the slope, then this would only mean that m = 0, there is no slope. And hence the line is either a straight vertical line or straight horizontal line.

 

Answer:

<span>There is no slope</span>

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What is the solution of the following system of equations by 3x-2y=12 6x-4y=24
mafiozo [28]

Answer:

Infinitely many solutions.

Step-by-step explanation:

Given

3x-2y=12\\ 6x-4y=24

Required;

Find the solution

3x-2y=12 --(1)\\ 6x-4y=24 -- (2)

Make x the subject of formula in (1)

3x-2y=12

Add 2y to both sides

3x-2y+2y=12+2y

3x=12+2y

Divide both sides by 3

\frac{3x}{3}=\frac{12+2y}{3}

x=\frac{12+2y}{3}

Substitute x=\frac{12+2y}{3} in (2)

6x-4y=24

6(\frac{12+2y}{3})-4y=24

2(12+2y)-4y=24

Open Bracket

24+4y-4y=24

24+4y-4y=24

Collect Like Terms

4y-4y=24-24

0 = 0

Based on the result above, the two equations have infinitely many solutions.

6 0
3 years ago
Tanya drove 155 miles at a rate of<br> 62 miles per hour. For how many hours<br> was Tanya driving?
KiRa [710]
2 hours and 30 minutes
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Stan's heart rate, in beats per minute, was measured 20 times at random. The results are 82, 84, 98, 112, 97, 93, 91, 87, 112, 8
Licemer1 [7]

Answer:

(80.4942, 94.9052)

Step-by-step explanation:

The sample mean is x = 87.7.

The sample standard deviation is s = 11.26.

At 99% confidence and 19 degrees of freedom, the critical value is t = 2.861.

The confidence interval is:

x ± t (s/√n)

87.7 ± 2.861 (11.26 / √20)

87.7 ± 7.2053

(80.4947, 94.9053)

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In the figure to the right, if AC = 15 and BC = 12, what is the radius?
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Answer:

The radius is 9.0 units

Step-by-step explanation:

we know that

In the right triangle of the figure ABC

Applying the Pythagorean Theorem

AC^2=AB^2+BC^2

substitute the given values

15^2=AB^2+12^2

solve for AB

AB^2=15^2-12^2\\AB^2=81\\AB=9\ units

Remember the the side AB of right triangle represent the radius of the circle

therefore

The radius is 9.0 units

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How do I solve Special quadratics?
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http://www.purplemath.com/modules/specfact.htm

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