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3 years ago

The graph of a line passes through the two points (-2, 1) and (2, 1). What is the equation of the line written in general

Mathematics

1 answer:

Stells [14]3 years ago

6 0

Answer:

y - 1 = 0.

Step-by-step explanation:

First off, we need to find the slope between the two points. That would be (1 - 1) / (2 - -2) = 0 / 4 = 0.

So, we would have an equation y = mx + b, where m is the slope and b is the y-intercept. Since the slope is 0, we have y = 0x + b, or y = b.

If you examine the coordinates, y always equals 1. So, b = 1, and y = 1.

y = 1

y - 1 = 0.

Hope this helps!

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What is the solution to -3/4 x + 2 ≤ -7 ?

Dvinal [7]

Answer:

x ≥ 12

Step-by-step explanation:

Step 1: subtract 2 from both sides

Now you have; -3/4 x ≤ -9

Step 2: divide both sides by -3/4

Now you have x ≥ 12

(when dividing an inequality by a negative you have to flip the sign)

Therefore the answer is x ≥ 12

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4 years ago

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Write an equation to match each graph:

babymother [125]

Answer:

Oblique downward straight line expression:

$y=-x$ ( $x\geq 1$ )

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$y=-x+2$ ( $x\geq 1$ )

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3 years ago

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Use the formula for the probability of two dependent events P(A and B) to derive the conditional probability formula for P(B | A

gregori [183]

The conditional probability formula for P(B | A) has been derived from two dependent events P(A and B).

<h3>What is said to be dependent events?</h3>

When the outcome from one event influences the outcome of the other, two events are referred to as dependent.

Dependent events in probability are generally real-life events that depend on another event to occur.
Sam, for example, did well on his math test because he prepared; the gym class used to have a football session even though Adam brought a football from home.
When you look at these examples, you will realize that one occurrence is dependent on the other.

Derivation of conditional probability from two dependent events P(A and B) is-

The probability multiplication rule is used to derive the conditional probability formula, P(A and B) = P(A)×P(B|A).

This rule is also known as P(AB). The Union symbol (∪) represents "and," as in event A occurring and event B occurring.

Step 1: Write the multiplication rule down:

P(A and B) = P(A)*P(B|A)

Step 2: P(A) divides both sides of the equation:

P(A and B) / P(A) = P(A)*P(B|A) / / P(A)

Step 3: On the right side of the equation, cancel P(A):

P(A and B) / P(A) = P(B|A)

Step 4: Rewrite the equation as follows:

P(B|A) = P(A and B) / P(A)

Therefore, P(B | A) conditional probability formula is compiled from two dependent events P (A and B).

To know more about the conditional probability, here

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2 years ago

In the picture below, what is the value of x?

lana [24]

Answer: 9

Step-by-step explanation:Because you have to loom at the answer

5 0

3 years ago

Please help with this problem

Andre45 [30]

Answer:

The length of the short side is 14.5 units, the length of the other short side is 18.5 units, and the length of the longest side is 23.5 units.

Step-by-step explanation:

The Pythagorean Theorem

<em> If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. </em>

This relationship is represented by the formula:

$a^2+b^2=c^2$

Applying the Pythagorean Theorem to find the lengths of the three sides we get:

$(x)^2+(x+4)^2=(x+9)^2\\\\2x^2+8x+16=x^2+18x+81\\\\2x^2+8x-65=x^2+18x\\\\2x^2-10x-65=x^2\\\\x^2-10x-65=0$

Solve with the quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-10,\:c=-65:\quad x_{1,\:2}=\frac{-\left(-10\right)\pm \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}\\\\x_{1}=\frac{-\left(-10\right)+ \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}=5+3\sqrt{10}\\\\x_{2}=\frac{-\left(-10\right)- \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}=5-3\sqrt{10}$

Because a length can only be positive, the only solution is

$x=5+3\sqrt{10}\approx 14.5$

The length of the short side is 14.5, the length of the other short side is $14.5+4=18.5$ , and the length of the longest side is $14.5+9=23.5$ .

3 0

3 years ago