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svp [43]
2 years ago
10

What is the equation of the line that passes through the point (8,-4) and has a slope of 3?

Mathematics
2 answers:
Masja [62]2 years ago
8 0
In order to solve it you insert the point in slope from

the equation is
Y=Mx+b

Plug it in as

-4=3(8)+b


-4=24+b

Then subtract 24

B=-28

So

The answer is

Y=3x-28
sineoko [7]2 years ago
8 0
Y-y1=m(x-x1)

(8, -4) 8 is x1 and -4 is y1
so y- (-4) = 3 (x -8)
make 4 a positive then y + 4 = 3x - 24
subtract 4 from 24 then y=3x-20
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6x + 5y = 16<br> −6x + 7y = 80
Kobotan [32]

The equation of the line in point-slope form is equal to

The equation of the line in standard form is equal to

step 1

Find the slope m

Let

step 2

convert to standard form

6 0
3 years ago
A group consists of fivefive men and sevenseven women. FourFour people are selected to attend a conference.
exis [7]

Answer:

Step-by-step explanation:

a.

4 people can be selected in ways=12 P4=12×11×10×9=11880

b.

4 women can be selected in  ways=7P4=7×6×5×4=840

c.

P=\frac{840}{11880} =\frac{7}{99}

6 0
3 years ago
A right angled triangle has sides of length 9cm, 12cm and 15cm. Calculate its area in square centimetres.
Dmitriy789 [7]

The area of a right angled triangle with sides of length 9cm, 12cm and 15cm in square centimeters is 54 sq cm.

The formula to calculate the area of a right triangle is given by:

Area of Right Triangle, A = (½) × b × h square units

Where, “b” is the base (adjacent side) and “h” is the height (perpendicular side). Hence, the area of the right triangle is the product of base and height and then divide the product by 2.

We know that the hypotenuse is the longest side. So, the area of a right angled triangle will be half of the product of the remaining two sides.

Given sides of the triangle:

a=9cm

b=12cm

c=15cm

From this we know that the hypotenuse is c. Are of the triangle will be obtained by the other two sides.

∴Area = \frac{1}{2} x 9 x 12

= 54cm^{2}

5 0
1 year ago
Help meeeeeeeeeee<br> Help meee
Alinara [238K]

Answer:

y

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is 2/5% of 820?<br><br> 1.8<br><br> 2.05<br><br> 2.88<br><br> 3.28
Margarita [4]

Answer:

D) 3.28

Step-by-step explanation:

820/x=100/2.5

(820/x)*x=(100/2.5)*x       - we multiply both sides of the equation by x

820=40*x       - we divide both sides of the equation by (40) to get x

820/40=x

20.5=x

x=20.5

now we have:

2.5% of 820=20.5

6 0
2 years ago
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