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3 years ago

Find the equation of the line passing theough the points (8,-16) and (1,5)

2 answers:

5 0

Use y = mx + b (slope intercept form) to calculate the equation of the line, where m represents the slop and b represents the y intercept.

Slope is equal to the change in y over the change in x, or rise over run.
m = change in y / change in x

The change in x is equal to the difference in the x coordinates, and the change in y is equal to the difference in y coordinates.
m= y2 - y1 / x2 - x1

Substitute the values of x and y into the equation to find the slope.

m = 5 - (-16) / 1 - 8
m = -3

Use slope intercept form to find b.

Substitute the value of m into the equation.
y = -3x + b

Substitute the value of x into the equation.
y = (-3)(8) + b
Substitute the value of y into the equation.
-16 = (-3)(8) + b

Then solve.
b = 8

Now that the values of m (slope) and b (y-intercept) are known, substitute them into y = mx + b to find the equation of the line.

y = -3x + 8

Inessa [10]3 years ago

3 0

The equation is -3Y-X+30=0

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nikdorinn [45]

surface area of cylinder = 2 π r h + 2π r²

plug in values of pi, radius and area

2,461.76 = 2× 3.14 × 14 × h + 2× 3.14 × 14 × 14

2,461.76 = 87.92 h + 1,230.88

2,461.76 – 1,230.88 = 87.92h

1,230.88 = 87.92h

1,230.88 ÷ 87.92 = h

h = 14 ft

6 0

3 years ago

Plz help I will mark you brainlist plz

joja [24]

Answer:

m = 12.9g

v = 8cm3

d = ?

d = m/v

d = 12.9g/8cm3

D = 1.6125g/cm3

5 0

3 years ago

Drag the tiles to the boxes to form correct pairs. Match each term to its definition

Illusion [34]

Answer:

Step-by-step explanation:

axiom goes with a given definition assumed to be true

theorem goes with a logical argument showing that a theorem is true

proof is a statement that requires proof

3 0

3 years ago

Read 2 more answers

A 5.ft tall man casts a shadow along the ground that is 8 ft. long. At the same time a giraffe casts a shadow that is 12 ft. lon

forsale [732]

Answer : 7.5 ft

Step-by-step explanation:

when the length of the shadow is 8ft, the actual height of the man = 5ft

8:5

let the giraffe be 'x' ft tall.

if the length of the shadow is 12ft, actual height = x ft

12:x

8:5 x 12:x

$\frac{8}{5}$ × $\frac{12}{x}$

x= $\frac{15}{2}$

x=7.5 ft

Therefore, the giraffe is 7.5ft tall.

4 0

1 year ago

Read 2 more answers

A triangle has two sides of length 18 and 4. What is the smallest possible whole-number length for the third side?

Kobotan [32]

<h3>Answer: 15</h3>

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Explanation:

Let a = 4 and b = 18 be the two known sides of the triangle.

Let c be the remaining side

We'll use a version of the triangle inequality theorem to set up the possible range of values for c.

The range of values for c is determined by the following

b-a < c < b+a

18-4 < c < 18+4

14 < c < 22

Telling us that the third side c is between 14 and 22, excluding both endpoints. This means c = 14 and c = 22 are not allowed. If either value were to happen, then the triangle becomes a single line instead. Try it out with slips of paper.

Because c = 14 is not allowed, we must go to the next whole number up. Therefore, c = 15 is the smallest possible length for the third side, when the third side is a whole number.

If the third side wasn't a whole number, then we could have something like c = 14.1 or c = 14.01 or c = 14.001 or c = 14.0001, and so on. We could steadily get closer and closer to 14, but never actually arrive to it. In short, there is no "smallest third side". This is likely why your teacher is focusing on the whole numbers so there is a smallest value of c possible.

Extra info: As you can probably guess, the largest side possible is c = 21, which is one less than 22. Like above, this is only possible if c is a whole number.

7 0

3 years ago