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pychu [463]
2 years ago
11

(6) Give the equation of the line passing through the points (1,5) and (-2, 6) in

Mathematics
1 answer:
Bas_tet [7]2 years ago
8 0

Answer:

⅓x + y = 5⅓

or

⅓x + y = 5.3333333

or

⅓x + y = 16/3

Step-by-step explanation:

Solve for slope using rise/run

Y2 - Y1 / X2 - X1

(6) - (5) / (-2) - (1)

1 / -3

Slope: -⅓

y = -⅓x + b

solve for b using one of the points

I'll be using (1,5)

Substitute the point into the equation

5 = -⅓(1) + b

5 = -⅓ + b (add ⅓ to both sides)

+⅓ +⅓

5⅓ = b

5⅓ can also be written as 16/3 or 5.333333

The equation is now:

y = -⅓x + 5⅓

Convert to standard form by adding ⅓x to both sides

y = -⅓x + 5⅓

+⅓x +⅓x

Solution: ⅓x + y = 5⅓

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soldi70 [24.7K]
There would be 138 students in 6 classes because first you'd divide 207 from 9 and get 23 then you'd multiply 23 to 6 and get 138.
5 0
3 years ago
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A 39-foot piece of string (hypotenuse) is stretched from the top of a 18-foot flagpole to the ground. How far is the base of the
ivann1987 [24]

9514 1404 393

Answer:

  34.6 ft

Step-by-step explanation:

The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...

  a² + b² = c²

  a = √(c² -b²)

  base-to-string = √(39² -18²) = √1197 ≈ 34.598

The distance from the base of the pole to the end of the string is about 34.6 feet.

7 0
2 years ago
Help asap please i don't know the answer lol
Sveta_85 [38]

Answer:

H

Step-by-step explanation:

The parallel line BC divides the sides AD and AE in proportion, that is

\frac{AB}{BD} = \frac{AC}{CE}, that is

\frac{2}{3} = \frac{AC}{4} ( cross- multiply )

3AC = 8 ( divide both sides by 3 )

AC = \frac{8}{3} = 2 \frac{2}{3}, hence

AE = AC + CE

     = 2 \frac{2}{3} + 4 = 6 \frac{2}{3} → H

6 0
3 years ago
Find the area of ABC
shutvik [7]

Answer:

24 ft sq.

Step-by-step explanation:

formula for area of triangle is: bh/2

8(6)/2 = area

48/2 = area

24 = area

6 0
2 years ago
What are the converse, inverse, and contrapositive of the following true conditional? What are the truth values of each?
ser-zykov [4K]
<span>In logic, the converse of a conditional statement is the result of reversing its two parts. For example, the statement P → Q, has the converse of Q → P.

For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the converse is 'if a figure is a parallelogram, then it is rectangle.'
As can be seen, the converse statement is not true, hence the truth value of the converse statement is false.
</span>
The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P <span>→ Q is ~P </span><span>→ ~Q.
</span><span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the inverse is 'if a figure is not a rectangle, then it is not a parallelogram.'
As can be seen, the inverse statement is not true, hence the truth value of the inverse statement is false.</span>
</span>
The contrapositive of a conditional statement is switching the hypothesis and conclusion of the conditional statement and negating both. For example, the contrapositive of <span>P → Q is ~Q → ~P. </span>
<span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the contrapositive is 'if a figure is not a parallelogram, then it is not a rectangle.'
As can be seen, the contrapositive statement is true, hence the truth value of the contrapositive statement is true.</span> </span>
4 0
3 years ago
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