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Lady_Fox [76]
3 years ago
15

Using the slope​ formula, find the slope of the line through the points (0,0) and (5,15) . Use pencil and paper. Explain how you

can use mental math to find the slope of the line.
Mathematics
1 answer:
torisob [31]3 years ago
7 0

Answer:

Slope = 3

Step-by-step explanation:

The formula for calculating the slope is expressed as:

m = y2-y1/x2-x1

From the coordinate, x1 = 0 y1 =0 x2 = 5, y2 =15

m = 15-0/5-0

m = 15/5

m = 3

Hence the slope is 3

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Alex purchased a new car for $28000. The car depreciates 7.25% each year. what will the price be in 5 years?
dalvyx [7]
Use the depreciation formula.

\sf p(1-r)^n

Where 'p' is the principal value, 'r' is the rate it depreciates, and 'n' is the time. Just plug in what we know:

\sf 28000(1-0.0725)^5

Simplify by subtracting:

\sf 28000(0.9275)^5

Simplify the exponent:

\sf 28000(0.6864)

Multiply:

\sf\approx\boxed{\sf\$ 19219.20}
8 0
3 years ago
Help me please!!?!?? ?
Mekhanik [1.2K]

1

3x^2 + 5y^2 - 12x + 30y + 42 = 0

3x^2 - 12x + 5y^2 + 30y = - 42

3(x^2 - 4x) + 5(y^2 + 6y) = -42

3(x^2 -4x + 4) + 5(y^2 + 6y + 9) = -42 + 12 + 45

3(x-2)^2 + 5(y+3)^2 = 15

\dfrac{(x-2)^2}{5} + \dfrac{(y+3)^2}{3} = 1

Ellipse, same signs different coefficients on x^2 and y^2

2

9x^2 -36x - 4y^2 + 8y = 4

9(x^2 - 4x + 4) - 4(y^2 - 2y + 1) = 4 + 36 - 4

9(x- 2)^2 - 4(y - 1^2) = 36

Hyperbola, opposite signs on x^2 and y^2

3

y = x^2 +2x + 3 = (x + 1)^2 + 2

parabola

4

x^2 - 4 x + y^2 + 4y = 4

(x - 2)^2 + (y+2)^2 = 4 + 4 + 4 = 12

equal coefficents on x^2 and y^2, circle

5

-9x^2 - 18x + 4y^2 - 8y = 41

-9(x^2 -2x + 1) + 4(y^2 - 2y + 1) = 41 - 9 + 4

-9(x-1)^2 + 4(y-1)^2 = 36

hyperbola, opposite signs

6

-4x = y^2 - 2y - 11 = (y-1)^2 - 12

That's a parabola, sideways open to the left

7

2(x^2 + 6x) + 3(y^2 - 8y) = -60

2(x^2 + 6x + 9) + 3(y^2 - 8y + 16) = -60 + 18 + 48

2(x+3)^2 + 3(y - 4)^2 = 6

\dfrac{(x+3)^2}{3} + \dfrac{(y-4)^2}{2} = 1

Ellipse, different coefficients

8

16x^2 - 32x - y^2 - 6y = 57

16(x^2 - 2x + 1) - (y^2 + 6y + 9) = 57 + 16 - 9 = 64

opposite signs, hyperbola

You'll have to do the graphing yourself, sorry


4 0
3 years ago
Help me please!! I need a good grade
Vadim26 [7]

Answer:

The answer of this question is 8.06 cm.

Step-by-step explanation:

I came to know my answer is correct because hypotenuse is bigger than base and perpendicular in right anhled triangle.

8 0
3 years ago
The factors of x2 + x – 12​
amm1812

Answer:

x^2+x-12=(x-3)(x+4)

Step-by-step explanation:

To factor x^2+x-12

Find factors of -12 that have a sum of 1.

Factors of -12:  1 and -12, 2 and -6, 3 and -4, 3 and -3, 6 and -2, 12 and -1

Factors of -12 that have a sum of 1:  -3 and 4

Therefore, x^2+x-12=x^2+4x-3x-12

Factor:  x(x+4) -3(x+4)

Factor out common term (x+4):  (x-3)(x+4)

6 0
3 years ago
600 or 600 decreased by 20% and then increased by 20% of the result? Which amount is larger and by how much
ohaa [14]

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be 600(1 - \frac{20}{100}) = 600 \times 0.8 = 480.

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be 480(1 + \frac{20}{100}) = 480 \times 1.2 = 576.

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

3 0
3 years ago
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