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mario62 [17]
3 years ago
5

Two lines have a slope of 3 and different y-intercepts how many solutions will this system have

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0

Answer:

0 solutions / no solutions

Step-by-step explanation:

If two lines have the same slope but different y-intercepts, it means that they are parallel.

For example, we have two lines:  

y = x

y = x + 1

Both lines have the same slope of 1, but different y - intercepts. Because each equation increases the x and y at the same right (slope) but started at different points, the two equations will never touch.

It's similar to two runner who run at the same pace. If one runner started 50 meters ahead, that runner will always be ahead 50 meters (y-intercept) because they both run at the same rate.

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(i) Challenge: Thembi received 8% discount on an item which cost
Paul [167]

Answer:

x = 0.25

Step-by-step explanation:

Given

Cost\ Price = 6 + x

Discount =8\%

Amount\ Paid = R6 - x

Required

Find x

First, we calculate the amount paid in terms of the cost price.

This is calculated using:

Amount\ Paid = Cost\ Price * (100\% - Discount)

Amount\ Paid = (6 + x) * (100\% - 8\%)

Amount\ Paid = (6 + x) * 92\%

Express as decimal

Amount\ Paid = (6 + x) * 0.92

Open bracket

Amount\ Paid = 5.52 + 0.92x

So, we have:

Amount\ Paid = 5.52 + 0.92x and

Amount\ Paid = R6 - x ---- given

Equate both

6 - x = 5.52 + 0.92x

Collect like terms

- x -0.92x= 5.52-6

-1.92x= -0.48

1.92x= 0.48

Solve for x

x = \frac{0.48}{1.92}

x = 0.25

8 0
3 years ago
Probability of landing in the white not the red. Please helpppppppppppp!
Iteru [2.4K]

Fun, geometry disguised as probability.

That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r.  So area of the pentagon is

P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6

The area of the circle is πr² so the circle area is

C = π (4²) = 50.265482

The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.

p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971

Answer: 0.25

Higher than I would have guessed from the figure.

7 0
3 years ago
PLEASR HELP MEEEE ASAP​
Naddika [18.5K]

Answer:

A: Yes, I agree. Why? Because if you look at the shape, its a triangle right, and a triangle both sides are equal, while the bottom line is not. But because both sides are equal, and half of the triangle is MPN and the other side is QPN, they both are congruent (or equal to)

B: Like I said, both MPN and QPN are both equal, and if you remove the P, it would still be the same because the shape has not changed.

I hope I helped :)

8 0
2 years ago
If your playing a game and get 15 coins 30 minutes. How many coins will you get in 1 hour and 40 minutes?
krok68 [10]

Answer:

You would get 50 coins in that time.

Step-by-step explanation:

To find this, we first need to find the unit rate. We can get that by dividing the amount of coins by the amount of time.

15 coins/ 30 mins = .5 coins per minute.

Now, we have 100 minutes in the second part of the problem, so we multiply the rate by that amount of time.

.5 coins per min * 100 mins = 50 coins

7 0
3 years ago
Translate the equation using a variable.<br> "Nineteen less than one-half of a number is -13."
Illusion [34]

Answer:

1/2a-19=-13

Step-by-step explanation:

One half of a number represents the phrase "1/2a" (in this case the variable/number is 'a'". Then because it says "nineteen less than", that means you subtract 19 from one half of the variable.

3 0
3 years ago
Read 2 more answers
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