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notka56 [123]
3 years ago
15

13. Find the equation of the line through the points (3, -1) and (6, 7).

Mathematics
1 answer:
erik [133]3 years ago
3 0

Ans:8x-3y=27

Step-by-step explanation:

let,A,B be the line which have points (3,-1),(6,7)

here,

(3,-1)=(x1,y1)

(6,7)=(x2,y2)

then,

slope of line AB =(y2-y1/x2-x1)

=(7+1/6-3)

=8/3

Now,

equation of the line AB,

(y-y1)=m(x-x1)

(y+1)=8/3(x-3)

3y+3=8x-24

-8x+3y=-24-3

-8x+3y=-27

-(8x-3y=27)

8x-3y=27

Hence, the equation of the line through the points (3,-1) ,(6,7) is 8x-3y=27.

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If A = C + 3A=C+3, B = 2CB=2C, and C = 4C=4, which is the correct order from least to greatest?
kotykmax [81]

Answer:

B, C, A.

Step-by-step explanation:

A = C + 3A = C + 3

A = C + 3

A = C + 3A

C + 3A = C + 3

3A = 3

A = 1

A = C + 3

1 = C + 3

C + 3 = 1

C = -2

B = 2C

B = 2(-2)

B = -4.

So, from least to greatest, B = -4, C = -2, and A = 1.

Hope this helps!

6 0
3 years ago
The scale factor of figure JKLMN to figure PQRST is 3:2. If KL = 27 cm and MN = 45 cm, what is the length of side ST?
MArishka [77]
MN: ST  is 3:2 so 45/ST=3/2
ST=30
5 0
2 years ago
Light in vacuum is incident on the surface of a slab of transparent material. In the vacuum the beam makes an angle of 43.8° wit
REY [17]

Answer:

Index of refraction of transparent is 1.48

Step-by-step explanation:

Snell's law states that;

n1(sinθ1) = n2(sinθ2)

Where;

n1 and n2 represent the indices of refraction for the two media, and θ1 and θ2 are the angles of incidence and refraction that the ray R makes with the normal.

In this question;

n1 = 1;

θ1 = 43.8°

θ2 = 19.3°

n2 is unknown.

Thus using Snell's law, we have;

1 x sin 43.8 = n2 x sin 19.3

n2 = (sin 43.8)/sin 19.3

n2 = 1.48

4 0
3 years ago
Express the ratio as a fraction in it's lowest terms.3kg to 800g​
MA_775_DIABLO [31]

Answer:

15 / 4

Step-by-step explanation:

1 kg = 1000 g

3 kg

= 3 x 1000

= 3000 g

3kg to 800g

= 3kg : 800g

= 3000 : 800

= 30 : 8

= 30 / 8

= 15 / 4

6 0
3 years ago
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The number of mold cells doubles every 12 minutes. At this moment, there are x mold cells present on a piece of bread. Which of
lisabon 2012 [21]

Answer:

Step-by-step explanation:

Suppose that at time t_0 we have x mold cells. We are told that after 12 minutes the amount present is double. That is a t= t_0+12 we have 2x cells. Then, at t = t_0+24 we have (2x)*2 = 4x. We can continue as follows

t: t_0+36 we have (4x)*2 = 8x.

t: t_0+48 we have (8x)*2 = 16x

t: t_0+60 (one hour later) we have (16x)*2 = 32x.

So after one hour from now we have 32x cells.

5 0
3 years ago
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