Represent the following expression algebredically: a number, x, decreased by 5

Find the slope of the line that passes through the pair of points

love history [14]

Answer:

$\frac{5,805}{2812}$

Step-by-step explanation:

To find the slope from two points you can use the following formula:

$m = \frac{y -y_{1} }{x -x_{1} }$

Now substitute the two sets of points $(\frac{7}{20}, \frac{5}{19} ) and (\frac{5}{9}, \frac{11}{16})$

Substitute the values like this:

$y = \frac{5}{19}, y_{1} = \frac{11}{16}, x = \frac{7}{20}$ and $x_{1} =\frac{5}{9}$

Now you will need to simplify the following expression:

$m = \frac{\frac{5}{19} -\frac{11}{16} }{\frac{7}{20}-\frac{5}{9} }$

Make sure that denominators are the same before substracting:

$m = \frac{\frac{-129}{304} }{\frac{-37}{180} }$

when you divide with a fractional number you only need to flip the second fraction over (find its reciprocal). Then just multiply:

$m = (\frac{-129}{304} })({\frac{-180}{37} } ) = \frac{5805}{2812}$

5 0

3 years ago

Jax and Sofia collect baseball cards. Jax has 56 cards and Sofia has 68. They each joined different baseball-collecting clubs. E

masya89 [10]

Jax gets 4 packs per month...each pack contains 4 cards...so he gets 16 cards per month.
Sofia gets 3 packs per month..each pack contains 4 cards...so she gets 12 cards per month..

56 + 16m = 68 + 12m
16m - 12m = 68 - 56
4m = 12
m = 12/4
m = 3.....they will have the same number of cards in 3 months

Jax : 56 + 16(3) = 104 cards
Sofia : 68 + 12(3) = 104 cards

and they will both have 104 cards

7 0

3 years ago

find the area of triangle qpm. round the answer to the nearest tenth. a. 5.2 square units b. 6.3 square units c. 6.5 square unit

viva [34]

Pls. see attachment.

We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.

Given:

51 degrees.

Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.

180 – 51 – 90 = 39 degrees

39 degrees * 2 = 78 degrees.

Angle Q is 78 degrees.

In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.

We will use the formula:

Sine theta = opposite / hypotenuse

Sin(78 deg) = opposite / 4.3

Sin(78 deg) * 4.3 = opposite

4.21 = opposite. This is also the height of the triangle.

Area of a triangle = ½ * base * height

A = ½ * 3units * 4.21units

A = 6.315 square units.

7 0

3 years ago

Simplify −2xy + 3x − 2xy + 3x A. 4xy +6x B. 2xy C. −4xy + 6x D. 4xy − 6x

marysya [2.9K]

First you must combine like terms, the two terms I this expression are x, and xy. So by adding -2xy to -2xy you get -4xy. Next you must add 3x to 3x. This gives you the simplified expression -4xy+6x. Hope this helps

4 0

3 years ago

Read 2 more answers

A construction worker is tasked with tiling two square rooms, room A and room B. Room B has side lengths that are double the sid

swat32

Answer:

4 boxes of tiles.

Step-by-step explanation:

Both rooms are square, so each has equal sides. Let's set a side to room A as x. It's area would be x^2. Room B has sides = 2x, so it's area would be (2x)^2 or 4x^2. The ratio of the areas B/A = 4x^2/x^2. B/A = 4.

Room B has 4 times the area of A. If one box of tile completes Room A, Room B would need four times that amount, or 4 boxes.

4 0

2 years ago