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musickatia [10]
3 years ago
9

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:

<u>A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal. </u>

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 <u>-1/3 </u>

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 <u>-3/2</u>

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

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Option E.

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

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8 0
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:

4 0
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)

<u>To find the value of the given expression:</u>

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

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7 0
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

7 0
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 = <span>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</span>
3 0
3 years ago
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