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3 years ago

Identify the slope and y-intercept of the line −2x+5y=−30.

Mathematics

1 answer:

guajiro [1.7K]3 years ago

6 0

Answer:

slope = 2/5 , y-intercept = -30

Step-by-step explanation:

-2x + 5y = -30

5y = 2x - 30

y = 2/5x - 6

we know that the general form is:

y = (slope)*x + (y- intercept)

so, from our equation, we can say that...

slope = 2/5

y- intercept = -30

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Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card. What is the probabilit

DaniilM [7]

Answer:

$\frac{1}{208}$

Step-by-step explanation:

We have been given that Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card.

Let us find probability of getting a club.

$\text{ Probability of getting a club}=\frac{13}{52} =\frac{1}{4}$

Now let us find probability of getting the ace of spades.

$\text{ Probability of getting ace of spades}=\frac{1}{52}$

Now let us multiply these to find probability of getting a club and ace of spades.

$\text{ Probability of getting a club and then ace of spades}=\frac{1}{4}*\frac{1}{52}=\frac{1}{208}$

Therefore, probability of getting a club and then the ace of spades $\frac{1}{208}$ .

8 0

3 years ago

Given: m∠LOI=38°, m∠JOP=84°

Romashka-Z-Leto [24]

Answer:

The measure of angle JKP is $m$

Step-by-step explanation:

step 1

we know that

The measure of the arc is equal to the measure of its central angle

$arc\ JP=m$

and

$arc\ IL=m$

step 2

Find the measure of the angle JKP

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

$m$

substitute the values

$m$

3 0

3 years ago

Jan's motorboat travels at a speed of 14 mph in still water. Booth river flows at a speed of 4 mph. How long will it take Jen to

Leya [2.2K]

Upstream: 14 - 4 = 10. Miles per hour.
16 miles = 1.6 hours.

Downstream: 14 + 4 = 18.
16 miles = 16/18 = 8/9 or 0.888 of an hour.

8 0

3 years ago

Read 2 more answers

Find the distance between the two points rounding to the nearest tenth (if necessary).

Sergio [31]

Answer:

6.7 units

Step-by-step explanation:

The distance between two points can be found using the formula below:

$\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}$

Thus, distance between (-1, 2) and (2, -4)

$= \sqrt{( - 4 - 2)^{2} + { [2-(-1) ]}^{2} }$

$= \sqrt{ {( - 6)}^{2} + {(2 + 1)}^{2} }$

$= \sqrt{36 + 9}$

$= \sqrt{45}$

= 6.7 units (nearest tenth)

Additional:

For a similar question on distance between points, do check out the following!

brainly.com/question/23274198

6 0

2 years ago

How do I solve this?

weqwewe [10]

IF:
|1/2.x -2/3.y = 7 and
|a.x - 8.y = -1

have no solution, that means these 2 linear equations ARE PARALLEL (since they can never meet). Reminder: 2 equations are parallel if they have the same coefficient , so let write each of the equation in the normal form:

a)1/2.x -2/3.y = 7→ -2/3.y = -1/2.x + 7 → y = 3/4.x - 21/2

b) a.x - 8.y = -1 → - 8.y = -a.x - 1 → y= a/8.x + 1

a) and b) are // if (3/4) = (a/8), [the 2 coefficient OR the 2 slopes)
a/8 = 3/4 → a = 24/4 and a = 6 (Answer D)

7 0

3 years ago