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3 years ago

What is the slope of all lines perpendicular to the line y=(2/3)x+7

Mathematics

1 answer:

Alexandra [31]3 years ago

6 0

Answer:

The slope is -3/2

Step-by-step explanation:

A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.

Example: Find the line perpendicular to y = 3x

First, you flip the sign which makes 3 into -3

Next, you make the reciprocal which makes -3 into -1/3

Problem: Find the line perpendicular to y = (2/3)x + 7

First, you flip the sign which makes 2/3 into -2/3

Next, you make the reciprocal which makes -2/3 into -3/2

Answer: The slope is -3/2

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Which of the algebraic expressions are linear expressions? Select two answers.

cupoosta [38]

Answer:

Option A and Option E

Step-by-step explanation:

By definition linear expressions have the following form:

$ax ^ n + b$

where

$n= 0$ or $n=1$

To answer the question, identify among the options the expressions that have this form:

Option A.

$-9y$

Where $a =-9$ and $b=0$ and $n=1$

Option E.

$-\frac{4}{5}x+\frac{3}{8}$

Where $a=-\frac{4}{5}$ and $b=\frac{4}{5}$ and $n=1$

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3 years ago

Which expressions are equivalent to 3(6+b)-(2b+1)

EastWind [94]

Answer:

The answer is b+17

Step-by-step explanation:

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3 years ago

Find the value of the expression below. Express your answer in scientific notation.

nirvana33 [79]

The value of the expression is $8.8 \times 10^{-2}$ .

Solution:

Given expression:

$$\frac{\left(4.8 \times 10^{8}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \times 10^{-6}\right)$

To find the value of the given expression:

Using exponent rule: $a^m\times a^n=a^{m+n}$

$$\Rightarrow\frac{\left(4.8 \times 10^{8-6}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)$

$$\Rightarrow\frac{\left(4.8 \times 10^{2}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)$

Using exponent rule: $\frac{a^m}{a^n} =a^{m-n}$

$$\Rightarrow\frac{\left(4.8 \times 10^{2-4}\right)}{1.2} \times 2.2$

$$\Rightarrow\frac{\left(4.8 \times 10^{-2}\right)}{1.2} \times 2.2$

Since $\frac{4.8}{1.2}=4$

$$\Rightarrow(4 \times 10^{-2})\times 2.2$

$$\Rightarrow 8.8 \times 10^{-2}$

Hence the value of the expression is $8.8 \times 10^{-2}$ .

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3 years ago

Which is greater 3.260 or 3.206

Sati [7]

Answer:

3.260 is greater.

Step-by-step explanation:

The ones place is the same, the tenths place is the same, the hundredths place is different. 3.260 has a greater hundredths place, so 3.260 > 3.206

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3 years ago

Read 2 more answers

A school principal ordered 1,000 pencils. He gave an equal number to each of 7 teachers until he had given out as many as possib

Semenov [28]

1000/7 = 142.857142857

Because this is not an even number we take "142", then times it by 7 teachers.

142*7= 994

1000 - 994 = 6 Pencils left

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3 years ago