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valentina_108 [34]
2 years ago
8

A line passes through the point -8,-3 and has a slope of -3/2. write an equation

Mathematics
1 answer:
fomenos2 years ago
3 0

Answer:

y = -3/2x  - 15

Step-by-step explanation:

Use the slope intercept form  y = mx + b to substitute the slope = -3/2 and the point (-8, -3).

y = mx + b

-3 = -3/2(-8) + b

-3 = 12 + b

-15 = b

y = -3/2x - 15

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Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7
Lapatulllka [165]

The first equation is y-2x+1=0

y=2x-1 (Equation 1)

The second equation is 4x^{2}+3y^{2}-2xy=7 (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

4x^{2}+3(2x-1)^{2}-2x(2x-1)=7

4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7

by simplifying the given equation,

12x^{2}-10x-4=0

6x^{2}-5x-2=0

Using discriminant formula,

D=b^{2}-4ac

D=25-4 \times 6 \times -2 = 73

Now the formula for solution 'x' of quadratic equation is given by:

x=\frac{-b+\sqrt{D}}{2a}  and  x=\frac{-b-\sqrt{D}}{2a}

x=\frac{5+\sqrt{73}}{12}  and x=\frac{5-\sqrt{73}}{12}

Hence, these are the required solutions.

8 0
3 years ago
Evaluate the algebraic expression for the given variable <br> -x- -3,x=-5
Dvinal [7]
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6 0
3 years ago
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denpristay [2]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Martha and sarah leave block p and q towards q and p respectively simultaneously and travel in the same route. After meeting eac
olga_2 [115]

The average speed of Martha and Sarah is 32 km/h.

We need to know about the speed to solve this problem. Speed can be determined as the distance traveled divided by time. It can be written as

v = s / t

where v is speed, s is distance and t is time.

From the question above, we know that:

t sarah = 3 hours

t martha = 5 hours

v sarah = 40 km/h

By using the speed equation, we get the distance

vsarah = s / tsarah

40 = s/3

s = 120 km

Find Martha's speed

vmartha = s / tmartha

vmartha = 120 / 5

vmartha = 24 km/h

Find average speed

v = (vsarah + vmartha)/2

v = (40 + 24) / 2

v = 32 km/h

Hence, the average speed of Martha and Sarah is 32 km/h.

Find more on speed at: brainly.com/question/6504879

#SPJ4

5 0
2 years ago
Which describes the correct way to convert minutes to hours? Divide the number of minutes by 24 Multiply the number of minutes b
fenix001 [56]

Answer:

divide the number of minutes to hours

8 0
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