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3 years ago

What is the slope of a line perpendicular to the line whose equation is y = 2x + 5?

Mathematics

2 answers:

Charra [1.4K]3 years ago

7 0

When a line is perpendicular to another line, the slope will be the opposite of the reciprocal of the other.

In this scenario, a line is perpendicular to 2. The other line will be the opposite of the reciprocal of this line.

slope = - $\frac{1}{2}$

Good luck!

ICE Princess25 [194]3 years ago

6 0

Is there a picture for this question?

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A teacher writes an inequality x divided by 6 < -2 on the board. Vincent incorrectly solves the inequality and obtains x <

scZoUnD [109]

The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides

Step-by-step explanation:

Given inequality that the teacher wrote is:

$\frac{x}{6} -2$

Solving an inequality means that the variable should be isolated on left side of the inequality.

So multiplying both sides by 6

$6* \frac{2}{6} < -2 * 6\\x < -12$

Vincent got the answer is x<-2 = > The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides

Keywords: Inequality, solution

Learn more about inequalities at:

#LearnwithBrainly

4 0

3 years ago

Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack

LenaWriter [7]

Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “<u><em>Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack</em></u>” mathematically like this :

$17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14$

6 0

2 years ago

Read 2 more answers

2. Which of the following are terms of the series with nth term T-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566

pishuonlain [190]

Answer:

The correct options are a,b,e and f.

Step-by-step explanation:

It is given that the nth terms of the series is defined as

$T_n=3n+17$

Subtract 17 from both the sides.

$T_n-17=3n$

Divide both sides by 3.

$\frac{T_n-17}{3}=n$

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

$n=\frac{80-17}{3}=21$

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

$n=\frac{170-17}{3}=51$

Since n is a positive integer, therefore 170 is a term of given series.

$n=\frac{217-17}{3}=66.67$

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

$n=\frac{312-17}{3}=98.33$

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

$n=\frac{278-17}{3}=87$

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

$n=\frac{3566-17}{3}=1183$

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

7 0

3 years ago

What is the equivalent of 96 yd in ft.?

Maksim231197 [3]

First you would convert yards into feet. 1 yard=3 feet.
96 yards multiplied by 3 is 288.
Answer: 288 feet.

4 0

3 years ago

Read 2 more answers

You make skateboard ramps by cutting

Fynjy0 [20]

The estimated number of ramps that can be cut from the board in discuss is; 6 ramps which is a reasonable assumption provided that each ramp is about 2 feet long.

b). The number of ramps that can be cut from the 12 1/2 feet long board is 6 and hence, the length of wood left is; 1/2.

<h3>What is the number of ramps that can be cut from the 12 1/2 feet long board?</h3>

It follows from the task content that skateboard ramps are made from a 12 1/2 feet long ramp.

Consequently, on the assumption that the quantity by measure of length of the board required to make one skateboard ramp is 2 feet, it follows that the estimated number of ramps that can be made from the board is; 12/2 = 6 skateboard ramps.

Ultimately, the amount of wood which is left over upon making the ramps is; 12 1/2 - 12 = 1/2.