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3 years ago

How do I find the slope of the line?

Mathematics

2 answers:

Schach [20]3 years ago

6 0

Answer:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

I don't know if you want an example?

charle [14.2K]3 years ago

5 0

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Step-by-step explanation:

yeah

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A test has 6 multiple choice questions, each with 4 alternatives. What is the probability of guessing 5 or more questions correc

ira [324]

Answer:

0.0009765625‬

Step-by-step explanation:

Each multiple choice question has 4 equally likely alternatives.

Hence, probability of guessing the right answer for 1 question is $\frac{1}{4}$ = 0.25

Hence, probability of guessing the wrong answer is $\frac{1}{4}$ = 0.75

The probability of guessing 5 or more questions correctly = probability of guessing 5 questions correctly & 1 question wrong + probability of guessing 6 questions correctly

= $\[0.25^{5}*0.75+0.25^{6}\]
$

= 0.000732421875 + 0.000244140625

= 0.0009765625‬

5 0

3 years ago

The cafe where you work just ran out of coffee, and you are at the store to buy 112 pounds of coffee. You have put a can with 34

ycow [4]

Answer:

Step-by-step explanation:

The total you are buying is 112 pounds. The can you have picked up is 34 pounds; this leaves

112-34 = 78 pounds remaining.

7 0

3 years ago

Read 2 more answers

Please help with 15, 17 and 19

Irina-Kira [14]

Given:

15. $\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$

17. $\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$

19. $2^{\log_2100}$

To find:

The values of the given logarithms by using the properties of logarithms.

Solution:

15. We have,

$\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$

Using property of logarithms, we get

$\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1$ $[\because \log_aa=1]$

Therefore, the value of $\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$ is 1.

17. We have,

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$

Using properties of logarithms, we get

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)$ $[\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}]$

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1$ $[\because \log_aa=1]$

Therefore, the value of $\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$ is -1.

19. We have,

$2^{\log_2100}$

Using property of logarithms, we get

$2^{\log_2100}=100$ $[\because a^{\log_ax}=x]$

Therefore, the value of $2^{\log_2100}$ is 100.

6 0

3 years ago

Lines l and k are parallel to each other. A=120 degrees. and C=80 degrees. What is the number of degrees in B??

Aleonysh [2.5K]

Answer:

B = 160°

Step-by-step explanation:

This is how I solved it (I hope the explanation isn't too confusing):

Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC

Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).

So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.

There are 180° in a triangle, so add the two interior angles you know:

30° + 80° = 110°

Then subtract 110° from 180° to find the final interior angle which is:

180° - 110° = 70°.

To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:

90° + 70° = 160°