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tensa zangetsu [6.8K]
3 years ago
10

Write the equation of the line that passes through the points (4,8) and (1, -8). Put

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0

Answer:

3y - 16x = -40

Step-by-step explanation:

Given the coordinate points (4,8) and (1, -8).

The point slope form of the equaton is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Get the slope

m = -8-8/1-4

m = -16/-3

m = 16/3

Get the required equation using the point (1, -8)

y - (-8) = 16/3 (x-1)

y+8 = 16/3 (x-1)

3(y+8) = 16(x-1)

3y + 24 = 16x - 16

3y - 16x = -16 - 24

3y - 16x = -40

Hence the required equation is 3y - 16x = -40

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PLEASE HELP I WILL GIVE BRAINLEST
Korvikt [17]

Answer:

Angle WZY=31degrees

Step-by-step explanation:

5x+11=8x-1

11+1=8x-5x

12=3x

X=12/3

X=4

Substitute x=4 in 5x+11

5(4)+11=31

6 0
3 years ago
(a) The probability that an automobile being filled with gasoline will also need an oil change is 0.35; the probability that it
cricket20 [7]

Answer:

0.714 ; 0.556 ; (A1 n A2 n A3) = 0

Step-by-step explanation:

Given that :

P(oil) = 0.35

P(filter) = 0.45

P(oil n filter) = 0.25

1)

P(filter | Oil) = P(oil n filter) / P(oil)

P(filter | Oil) = 0.25 / 0.35 = 0.714

11)

P(Oil | filter) = P(oil n filter) / P(filter)

P(Oil | filter ) = 0.25 / 0.45 = 0.556

Number of red aces = 2

Queen or king = 4 + 4 = 8

Number on card greater than 3 and less than 8 = {4,5,6,7} = 4 card ; for 4 suits = 4 * 4 = 16

Total number of cards in deck = 52

Choosing without replacement :

Hence,

A1 = 2 / 52

A2 = 8 / 51

A3 = 16 / 50

(A1 n A2 n A3) ;this means card common to all three events.

However, (A1 n A2 n A3) = 0 because ;

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3 0
3 years ago
Find the distance between M(–2, 3) and N(8, 2).
MrRissso [65]
You would use the distance formula and get square root of 101

The answer is <span>b) (image #1)
</span>
8 0
3 years ago
What is the surface area of the rectangular pyramid
posledela

Answer:

<h2>41.74 m²</h2>

Step-by-step explanation:

We have:

rectangle 4.8 m × 3.8 m

two triangles with base b = 4.8 m and height h = 2.6 m

two triangle with base b = 3.8 m and height h = 2.9 m.

The formula of an area of a rectangle l × w:

A = lw

Substitute:

A_1 = (4.8)(3.8) = 18.24\ m^2

The formula of an area of a triangle:

A=\dfrac{bh}{2}

Substitute:

A_2=\dfrac{(4.8)(2.6)}{2}=6.24\ m^2\\\\A_3=\dfrac{(3.8)(2.9)}{2}=5.51\ m^2

The Surface Area:

S.A.=A_1+2A_2+2A_3\\\\S.A.=18.24+2(6.24)+2(5.51)=41.74\ m^2

3 0
3 years ago
A. 180<br> B.82<br> C. 46<br> D. 98<br><br> Please answer help me
Doss [256]

Answer:

D

Step-by-step explanation:

Because the angle with measure 82 and angle 1 are corresponding angles, their angles measure must be equal, and therefore angle 1 has measure of 82 as well. Since angles 1 and 2 are a linear pair, they must be supplementary, and angle 2 is therefore 180-82=98 degrees. Hope this helps!

8 0
3 years ago
Read 2 more answers
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