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3 years ago

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−1, −1)?

1 answer:

4 0

First find the slope of this new line; it's the same as the slope of the "given line," which you unfortunately have not yet given. Let's call that slope "m."

Then, the equation in point-slope form of the new line is

y - (-1) = m(x - [-1]), or y+1 = m(x+1)

Please go back to the original question, obtain the slope of the "given line," and substitute that value for m in y+1 = m(x+1).

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How to convert fractions?

amid [387]

You can convert a fraction into a decimal by taking the numerator or the top number and such as 3/4 and the numerator would be 3 and divided it by the denominator 4 so the problem you set up should be 3 diveded by 4 which will give you .75

6 0

3 years ago

What is the mean of this data set? If necessary, round your answer to the

Marizza181 [45]

Answer:

40.1

Step-by-step explanation:

4 0

3 years ago

Consider a single spin of the spinner. Which events are mutually exclusive? Select two options.

kozerog [31]

Answer:

There is no option in the question given.

However, In logic and probability theory, two events are mutually exclusive or disjoint if they cannot both occur at the same time. A clear example is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.

5 0

3 years ago

Read 2 more answers

Jack and Jim went biking. Jack biked for 5 1/3 hours with average speed 12 1/2 miles per hour. Jim traveled exactly 1 1/5 as far

ahrayia [7]

Given that Jack biked for $5 \frac{1}{3}$ hours with an average speed of $12 \frac{1}{2}$ miles per hour.

The distance travelled by Jack is given by

$d=speed\times time \\ \\ =12 \frac{1}{2}\times5 \frac{1}{3}= \frac{25}{2} \times \frac{16}{3} \\ \\ = \frac{200}{3} =66 \frac{2}{3} \ miles$

Given that Jim travelled exactly $1 \frac{1}{5}$ as far as Jack did, then the distance Jim travelled is given by

$d=1 \frac{1}{5} \times66 \frac{2}{3} \\ \\ = \frac{6}{5} \times \frac{200}{3} =80$

Therefore, the length of Jim's journey is 80 miles.

3 0

3 years ago

In triangle ABC, AD is a median. FE is a straight line parallel to BC cutting the remaining sides AB at F and AC at E and cuttin

daser333 [38]

Answer:

Step-by-step explanation:

since AD is a median it implies that triangle ABC is bisected to two equal right angled triangle which are ADB and ADC.

FE is parrallel to BC and cuts AB at F and AC at E shows that there are two similar triangles formed which are AFE and ABC.

Recall that ADC is a right angled triangle, ED bisects a right angled triangle the the ADE = $45^{o}$ .

Now, Let FD bisect angle ADB,

then ADF = $45^{o}$ too.

Since AFX is similar to Triangle ABD and that Triangle AEX is similar to Triangle ACD, then EDX is similar to FDX

FDE = ADF + ADE = $90^{o}$

4 0

3 years ago