All categories

3 years ago

A line includes the points (2, 0) and (5, 6). What is its equation in slope-intercept form?

Mathematics

1 answer:

marusya05 [52]3 years ago

6 0

Answer:

y = 3x - 6

Step-by-step explanation:

1. Slope-intercept form is y = mx +b

2. Use the given coordinates to plug into the slope equation: $\frac{y{2}-y{1}}{x{2}-x{1}}$

$\frac{6-0}{5-2}=\frac{6}{3}=2$

3. Now you have y = 3x + b

4. To find the y-intercept, plug in one of the coordinates to the equation you have so far. Using (2, 0):

0 = 3(2) + b

0 = 6 + b

-6 = b

5. Final answer: y = 3x - 6

You might be interested in

Please answer the question above.

kenny6666 [7]

Answer:

5.3!

Step-by-step explanation:

( in case you need work ) the angles are congruent so you set them equal to each other!

6x+12=9x-4

you then get 16=3x then divided its 5.3!

8 0

4 years ago

Find the measure of the angle x to the nearest tenth. Question 7 options: 33. 5Â° 56. 5Â° 28. 9Â° 44. 3Â°.

Nina [5.8K]

The question is an illustration of right-angled triangles

The approximated value of x is 33.5 degrees

The given parameters are:

$\theta = x$

$Hypotenuse = 58$

$Opposite = 32$

To determine the measure of angle x, we simply make use of the following sine ratio.

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(x) = \frac{32}{58}$

$\sin(x) = 0.5517$

Take arc sine of both sides

$x = \sin^{-1}(0.5517)$

This gives

$x = 33.5$

Hence, the approximated value of x is 33.5 degrees

Read more about right-angled triangles at:

brainly.com/question/16195823

4 0

2 years ago

∠A is an acute angle in a right triangle.

valentina_108 [34]

Cosine = adjacent / hypotenuse
So that means the adjacent side = 15 and the hypotenuse = 17
By Pythagorean Theorem, we know that
opposite^2 = hypotenuse^2 - adjacent^2
opposite^2 = 17^2 - 15^2
opposite^2 = 289 - 225
opposite^2 = 64
opposite side = 8

sine = opposite / hypotenuse
So,
sine A = 8 / 17

3 0

3 years ago

Suppose 55 percent of the customers at Pizza Palooza order a square pizza, 72 percent order a soft drink, and 48 percent order b

Zolol [24]

Answer: No, the orders are not independent.

Step-by-step explanation:

If event 1 has some possible outcomes, suppose that we choose a given outcome 1 with a probability P1, and event 2, also with different possible outcomes, we can select an outcome 2, that has a probability P2, and the two events are independent (meaning that the outcome in event 1 does not affect the outcome in event 2, and vice versa)

Then the probability of outcome 1 and outcome 2 happening at the same time is equal to the product of their individual probabilities.

P = P1*P2.

In this case, event 1 is the selection of the pizza, and outcome 1 is the selection of the square pizza, with a probability of 55%.

Event 2 is the selection of the drink, outcome 2 is the order of a soft drink, with a probability of 72%.

If those two events were independent, then the probability that a customer orders a square pizza and a soft drink would be:

P = 0.55*0.72 = 0.396 (or 39.6%)

But we know that the actual probability is 48%.

So this is larger, which means that the outcomes are not independent.

3 0

3 years ago

The lowest temperature on a winter morning was –8$F. Later that same day the temperature reached a high of 24$F. By how many deg

garik1379 [7]

Answer:

32 Fahrenheit

Step-by-step explanation:

Since it is -8, subtract -8.

Now, you have 0 Fahrenheit.

Then, you add 24, since the high was -24 Fahrenheit.

The total number you added and subtracted is 32 Fahrenheit.

Hope this helps!

5 0

4 years ago