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katovenus [111]
3 years ago
8

Using the given points and line, determine the slope of the line. (-3, 0) and (2, 7) slope = -7/5

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
7 0

Answer:

Slope= 7/5

Step-by-step explanation:

The slope of a line is determined as a ratio of the change in y to the change in x.

Slope=Δy/Δx

Δy=y₂-y₁

Δx=x₂-x₁

Therefore we can use the the x and y coordinates from the points given, (-3,0) and (2,7) to calculate the slope.

m= (7-0)/(2-⁻3)

Slope= 7/5

When a negative number is subtracted from a number it the operation sign changes to addition.

BigorU [14]3 years ago
4 0

Answer: Last option

slope=\frac{7}{5}

Step-by-step explanation:

The equation to find the slope m of a line is:

m=\frac{y_2-y_2}{x_2-x_1}

Where (x_1, y_1) and (x_2, y_2) are two points through which the line passes

In this case the points are: (-3, 0) and (2, 7)

Therefore the slope is:

m=\frac{7-0}{2-(-3)}

m=\frac{7}{2+3}

m=\frac{7}{5}

The answer is the last option

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Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 250 tickets from a previous vi
Nataly_w [17]

Considering the definition of equation, the number of games Meredith need to play is 12.

<h3>What is an equation</h3>

An equation in mathematics is defined as an equality established between two expressions, in which there may be one or more unknown values, called unknowns, in addition to certain known data.

The unknown or unknowns represent the number (or numbers), if any, that make the equality true. This unknown number or numbers represent the solution of the equation. So when changing the unknown or unknowns by the solution, the equality must be true.

<h3>Solution in this case</h3>

Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. This is represented by:

y=6x + 250

where:

  • x represents the number of games Meredith plays.
  • y represents the number of tickets she needs for the prize.

Meredith needs 322 tickets to exchange for the prize she wants. This is, y=322.

Replacing in the expression y=6x + 250:

322= 6x + 250

Solving taking into account that:

  • When a value you are adding is passed to another side of the equation, this value will be subtracting.
  • If a value is multiplying it goes to the other side of the equation by dividing.

322 - 250=6x

72= 6x

72÷6= x

<u><em>12= x</em></u>

Finally, the number of games Meredith need to play is 12.

Learn more with this problem:

brainly.com/question/15564756

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7 0
2 years ago
Karina bought 4 packages of the type of gum shown.
Radda [10]

Answer:

Step-by-step explanation:4n+3=60

5 0
3 years ago
A piece of plywood was cut so it's length with 8 ft by 4 ft what is the area of the wood
Elena L [17]

The area of an object is found by multiplying the length by the width, so to solve your problem, multiply 8*4 to get 32.

8 0
3 years ago
Y=(3/5)x -3 and 5y =3x-10 these lines are and the second question?
azamat
Look at the first line:  y = (3/5)x - 3.  What happens if you multiply each term by 5, to eliminate the fraction?

5y = 3x - 3

Compare this to the second equation, 

5y - 3x = -10, or 5y = 3x - 10.

The coefficients of x and y (as 3 and 5 here) determine the slope of a straight line.  Since 5y = 3x is present in both equations, the two lines MUST be parallel.



y = 4
4y = 6   =>   y = 6/4

y+4 and y =3/2 are both horizontal lines.  Since they are horiz., they are parallel.


4 0
3 years ago
What is the probability that 1 or 2 are rolled on a number cube with sides numbered 1, 2, 3, 4,
choli [55]

Answer: \frac{1}{3}

Step-by-step explanation:

total sides = 6

p (rolling a 1) = \frac{1}{6}

p (rolling a 2) = \frac{1}{6\\}

Note:

or - add

and - multiply

∴ \frac{1}{6} +\frac{1}{6} = \frac{2}{6}

∴ \frac{2}{6} = \frac{1}{3}

hence, p (rolling a 1 or 2) = \frac{1}{3}

4 0
2 years ago
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