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3 years ago

What is the slope of the line whose equation is 12 = 4x – 6y?

2 answers:

6 0

Convert to slope-intercept form, y = mx + b.

12 = 4x - 6y

Subtract 4x to both sides:

12 - 4x = -6y

Divide -6 to both sides:

y = 2/3y - 2

Now its in slope-intercept form, y = mx + b, where 'm' is the slope.

So the slope is 2/3.

Delvig [45]3 years ago

5 0

Answer:

2/3

Step-by-step explanation:

I took the test

hope this helps

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The ancient Greeks could bisect an angle using only a compass and straightedge.A. TrueB. False

Gala2k [10]

Answer: True.

The ancient Greeks could bisect an angle using only a compass and straightedge.

Step-by-step explanation:

The ancient Greek mathematician <em>Euclid</em> who is known as inventor of geometry.

The Greeks could not do arithmetic. They had only whole numbers. They do not have zero and negative numbers.

Thus, Euclid and the another Greeks had the problem of finding the position of an angle bisector.

This lead to the constructions using compass and straightedge. Therefore, the straightedge has no markings. It is definitely not a graduated-rule.

As a substitute for using arithmetic, Euclid and the Greeks learnt to solve the problems graphically by drawing shapes .

5 0

4 years ago

Read 2 more answers

Kareendeep has $168.50 in her bank account. She buys x shirts for $5.5o each. Write and solve an equation Kareendeep can use to

Vikentia [17]

Answer:

Equation: 5.5x = 168.5

Solution: 30 shirts

Step-by-step explanation:

First, create the equation where x is the number of shirts.

Since each shirt is $5.50, the cost of the shirts will be 5.50x

Set this equal to 168.50, since that is how much money Kareendeep has.

So, the equation will be 5.5x = 168.5

Now, solve this for x, the number of shirts she can buy:

5.5x = 168.5

Divide each side by 5.5

x = 30.6

Since we can only have a whole number of shirts, she can only buy 30 shirts.

So, the answer is 30 shirts.

5 0

3 years ago

Which transformation preserves only angle measurement? A)dilation B)rotation C)reflection D)translation

pishuonlain [190]

Answer:

A)dilation

Step-by-step explanation:

The transformation preserves only angle measurement is dilation. The transformation helps in taking up the production of an image that is of the same shape as the main original image.

8 0

3 years ago

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An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equ

kompoz [17]

Answer:

0.62% probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

Normal probability distribution.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 800, \sigma = 40, n = 16, s = \frac{40}{\sqrt{16}} = 10$