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1 year ago

If the two lines below are perpendicular and the slope ofthe red line is -, what is the slope of the green line?51015-5-5-105

Mathematics

1 answer:

inysia [295]1 year ago

4 0

If two lines are perpendicular, then the product of their slopes is -1:

$m_r\cdot m_g=-1...(1)$

From the problem, we identify:

$m_r=-\frac{4}{3}\text{ \lparen the slope of the red line\rparen}$

Then, using the equation (1), we calculate the slope of the green line:

$\begin{gathered} -\frac{4}{3}\cdot m_g=-1 \\ \\ \therefore m_g=\frac{3}{4} \end{gathered}$

Answer: Option D

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Answer:

28 = 4m

28/4 = m

7 = m

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3 years ago

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Carol walked 1 1/3 miles on Monday. 35/6 miles on Tuesday, and 2 miles on Wednesday. About how far did she walk altogether?

Dmitry_Shevchenko [17]

Answer:

9 1/6 miles

Step-by-step explanation:

Add the mixed number by the improper fraction.

1 + 1/3 + 35/6

Solve the fractions first.

In order to have both of the fractions have the same denominator, find the Least Common Multiple of both of the fractions.

1/3 = 2/6

2/6 + 35/6 = 37/6

Turn the improper fraction into a mixed number by dividing the the numerator by the denominator. When you get your quotient, use the remainder as the new numerator over the denominator.

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Now, add the 1.

6 1/6 + 1 = 7 1/6

Now, add the 2 miles that Carol walked on Wednesday.

7 1/6 + 2 = 9 1/6

So, Carol walked about 9 1/6 miles on Monday, Tuesday, and Wednesday all together.

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3 years ago

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NEED HELP Graph the following equations on graph paper or in your calculator.

Snowcat [4.5K]

Step-by-step explanation:

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3 years ago

Which of the following statements is true concerning ABC below?

zhuklara [117]

Angle B is the largest angle. , Option D is the correct answer.

<h3>What is an Isosceles Triangle ?</h3>

A triangle that has two sides equal is called an Isosceles Triangle.

It is given in the question a triangle ABC

With BA =BC

therefore angle A is equal to angle C

In a triangle the angle opposite to the longest side is the biggest angle

Therefore angle B is the largest angle.

Option D is the correct answer.

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2 years ago

A. [4 marks]

storchak [24]

The value of d is -2

Step-by-step explanation:

The nth term of the arithmetic sequence is $u_{n}=u_{1}+(n-1)d$ , where

$u_{1}$ is the first term
d is the common difference between each 2 consecutive terms

The nth term of the geometric sequence is $u_{n}=u_{1}r^{n-1}$ , where

$u_{1}$ is the first term
r is the common ratio between each two consecutive terms $r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}$

∵ $u_{1}$ of an arithmetic sequence is 1

∵ The common difference is d, where d ≠ 0

∵ $u_{2}$ , $u_{3}$ , $u_{6}$ are the first 3 terms of a geometric sequence

∵ $u_{2}$ = 1 + (2 - 1)d

∴ $u_{2}$ = 1 + d

∵ $u_{3}$ = 1 + (3 - 1)d

∴ $u_{2}$ = 1 + 2d

∵ $u_{6}$ = 1 + (6 - 1)d

∴ $u_{2}$ = 1 + 5d

∴ The first 3 terms of the geometric sequence are (1 + d) , (1 + 2d) ,

(1 + 5d)

∵ The common ratio in the geometric sequence is $r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}$

∴ $r=\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}$

- Use cross multiplication with the equal fractions

∵ $\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}$

∴ (1 + 2d)(1 + 2d) = (1 + d)(1 + 5d)

∴ 1 + 2d + 2d + 4d² = 1 + 5d + d + 5d²

- Add like terms in each side

∴ 1 + 4d + 4d² = 1 + 6d + 5d²

- Subtract 1 from both sides

∴ 4d + 4d² = 6d + 5d²

- Subtract 4d from both sides

∴ 4d² = 2d + 5d²

- Subtract 4d² from each side

∴ 0 = 2d + d²

- Take d as a common factor

∴ 0 = d(2 + d)

- Equate each factor by 0

∴ d = 0 but we will reject it because d ≠ 0

∴ 2 + d = 0

- Subtract 2 from both sides

∴ d = -2

The value of d is -2

Learn more:

You can learn more about the sequence in brainly.com/question/1522572

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