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2 years ago

What is

Mathematics

1 answer:

denis23 [38]2 years ago

4 0

Answer: the slope of perpendicular lines are opposite and reciprocal.

First line slope is 3/2. The slope of the second line is - 2/3

First line slope is 2. The other line slope is -1/2

Step-by-step explanation:

You might be interested in

What is the equation of the line that passes through (-2, 2) and (1, -4)?

poizon [28]

Answer:

y = - 2x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ = (- 2, 2) and (x₂, y₂ ) = (1, - 4)

m = $\frac{-4-2}{1+2}$ = $\frac{-6}{3}$ = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 2), then

2 = 4 + c ⇒ c = 2 - 4 = - 2

y = - 2x - 2 ← equation of line

3 0

3 years ago

Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = –3 and x

Effectus [21]

The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way.

For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.

For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.

7 0

3 years ago

A wire is (7x – 3) meters long. A length of (3x – 4) meters is cut for use(a) How much wire is left?

ipn [44]

Answer:

The amount of wire left is 4x + 1

Step-by-step explanation:

Initially, the wire is (7x - 3) meters long.

A length of (3x - 4) meters is cut.

How much wire is left?

Initial amount subtracted by the amount that is cut. So

(7x - 3) - (3x - 4) = 7x - 3 - 3x + 4

We combine the like terms

7x - 3x - 3 + 4 = 4x + 1

The amount of wire left is 4x + 1

6 0

3 years ago

Need some help with this

kramer

Answer:

Step-by-step explanation:

The total number of outcomes the two fair number cubes are thrown is 36. This can be seen by counting the outcomes shown on the table.

a) for a sum of 4, there are only 3 possible outcomes. They are 3,2 2,2 and 1,3

Therefore, the probability of getting a sum of 4 will be

3/36 = 1/12

b) for a sum of 5, there are only 4 possible outcomes. They are 4,1 3,2 2,3 and 1,4

Therefore, the probability of getting a sum of 4 will be

4/36 = 1/9

c)for a sum of 6, there are only 5 possible outcomes. They are 5,1 4,2 3,3 2,4 and 1,5

Therefore, the probability of getting a sum of 6 will be

5/36 = 5/36

The probability that the sum of the results of the throw is 4,5 or 6 would be

1/12 + 1/9 + 5/36 = (3 + 4 + 5)/36 = 12/36 = 1/3

7 0

3 years ago

Dean invests $500 for 10 years at a rate of 1.7% per year simple interest. Calculate the total interest earned during the 10 yea

Ann [662]

Answer: $85

Explanation:

4 0

2 years ago