What are the coordinates of A(-4,-1) B(-2,0) C(1,-2) after a reflection across ths x-axis

Anybody know the slope of the line is … Help

Answer: The slope is -1

Step-by-step explanation:

When you are given a line on a graph all you need to do is pick two points on the line and calculate the change over both the x and y-axis.

Pick both points to be at a position on the line that is easy to read. IE the intersection between two grid lines. For this problem lets go with the first point at (0,1) and the second point at (1,0).

Now we want to calculate the change in rise (the y-component) and divide by the change in the run (the x-component). Point 1 has a y-component of 1 and point 2 has a y-component of 0.

1 - 0 = 1 = rise

Point 1 has an x-component of 0 and point 2 has an x-component of 1.

0 - 1 = -1 = run

rise/run = 1/-1

Slope = -1

3 0

2 years ago

(x + 3)^2 - 4x^2 Factorise using the difference of two squares

AlladinOne [14]

Answer:

3(x + 1)(3 - x).

Step-by-step explanation:

(x + 3)^2 - 4x^2

Using the identity a^2 - b^2 = (a - b)(a + b), we have

(x + 3 - 2x)(x + 3 + 2x)

= (-x + 3)(3x + 3)

= 3(x + 1)(3 - x)

8 0

3 years ago

Shameel has a flight to catch on Monday morning. His father will give him a ride to the airport. If it rains, the traffic will b

vredina [299]

Answer:

The events rain and Shameel missing his flight are not independent events.

Step-by-step explanation:

Independent events are those events that are not affected by the occurrence (or no occurrence) of other events. These events do not affect the probability of another even taking place.

For example, the events of winning a lottery and being late for work are independent.

If events A and B are independent then:

$P(A\cap B)=P(A)\times P(B)$

And the conditional probability of B given A is:

$P(B|A)=P(B)$

Denote the events as follows:

X = Shameel misses his flight

Y = it rains on Monday morning.

The information provided are:

$P(X|Y)=0.04\\P(X|Y^{c})=0.03\\P(Y)=0.26$

The law of total probability states that:

$P(B)=P(B|A)P(A)+P(B|A^{c})P(A^{c})$

Use this law to compute the probability of X as follows:

$P(X)=P(X|Y)P(Y)+P(X|Y^{c})P(Y^{c})\\=(0.04\times 0.26)+(0.03\times (1-0.26))\\=0.0104+0.0222\\=0.0326\\\approx0.033$

If the events X and Y are independent then,

$P(X|Y)=P(X)$

But the value of P (X) is 0.033.

That is, $P(X|Y)\neq P(X)$ .

Thus, the events rain and Shameel missing his flight are not independent events.

4 0

3 years ago

How many solutions exist for the equation 5(x-1)+2 = 2x+3x-3 ?

aniked [119]

Answer:

infinite number of solutions

Step-by-step explanation:

Given

5x - 1) + 2 = 2x + 3x - 3 ← distribute and simplify

5x - 5 + 2 = 5x - 3, that is

5x - 3 = 5x - 3

Since both sides are equal then there are an infinite number of solutions to the equation.

8 0

3 years ago

What is 3x-12=-15? I need to know

cupoosta [38]

3x - 12 = -15

Add 12 on both sides.

-12 + 12 = 0

-15 + 12 = -3

The equation is now 3x = -3.

Divide both sides by 3 to isolate the variable.

3x / 3 = x
-3 / 3 = -1

So, x = -1.

7 0

2 years ago