All categories

3 years ago

What is the equation of the line perpendicular to the line y = 2x + 3 with a y-intercept of -6

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

Answer:

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1

y = 2x + 3 ⇒ m₁=2

2×m₂ = -1 ⇒ m₂ = -¹/₂

The y-intercept is b=-6 so the equation in slope-intercept form:

y = -¹/₂ x - 6

You might be interested in

State the Limits Rule and explain what it means

Evgen [1.6K]

Answer:

The limit of a sum is equal to the sum of the limits.

Step-by-step explanation:

The limits of a constant times a function is equal to the constant times the limit of the function.

4 0

3 years ago

A company that sells home and kitchen products online is tracking the number of visitors on their website overnight to determine

olchik [2.2K]

Answer:

Step-by-step explanation:

its A

5 0

3 years ago

Read 2 more answers

pH measurements of a chemical solutions have mean 6.8 with standard deviation 0.02. Assuming all pH measurements of this solutio

aalyn [17]

Answer: 2.14 %

Step-by-step explanation:

Given : pH measurements of a chemical solutions have

Mean : $\mu=6.8$

Standard deviation : $\sigma=0.02$

Let X be the pH reading of a randomly selected customer chemical solution.

We assume pH measurements of this solution have a nearly symmetric/bell-curve distribution (i.e. normal distribution).

The z-score for the normal distribution is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 6.74

$z=\dfrac{6.74-6.8}{0.02}=-3$

For x = 6.76

$z=\dfrac{6.76-6.8}{0.02}=-2$

The p-value = $P(6.74$

$P(z$

In percent, $0.0214\times=2.14\%$

Hence, the percent of pH measurements reading below 6.74 OR above 6.76 = 2.14%

6 0

4 years ago

Yo can someone do this for me ty i’m too lazy to do this myself

Debora [2.8K]

Answer:

1. 8 + 4 = 12 x 6 = 72

2. 9 + 6 = 15 x 4 = 60

3. 11 + 8 = 19 x 6 = 114

4. 4 + 6 = 10 x 5 = 50

5. 7 + 3 = 10 x 8 = 80

6. 8 + 12 = 20 x 9 = 180

7. 5 + 10 = 15 x 8 = 120

8. 19 + 13 = 32 x 10 = 320

9. 3 + 6 = 9 x 2 = 18

Area of a trapezoid:

Base 1 + Base 2 times Height times a half (basically dividing by 2).

5 0

3 years ago

A classroom has a length of 30 ft. and a width of 20 ft. The flooring is to be replaced by tiles. If each tile has a length of 3

Mashcka [7]

Answer:

100

Step-by-step explanation:

Hello! to calculate the number of tiles needed for the floor you need two things

1. number of tiles that fit across the width, this is achieved by dividing the total width by the width of each tile

Width=20ft=240in

$N1=\frac{240}{24} =10$

2.number of tiles that fit in the logitude, this is achieved by dividing the total length by the length of each tile.

leght=30ft=360in

$N2=\frac{360}{36} =10$

Finally, you multiply the number of tiles that fit in width by the number of tiles that fit in length.

N=10X10=100

3 0

3 years ago