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3 years ago

If JO = 32, is triangle JKO is congruent PMN to triangle ? If so, find JN.

1 answer:

8 0

It is true that they are congruent.
Side JK and PM are congruent to each other
JK = 25
PM is divided into two measurements=19 and 6.
So PM is 19 + 6 = 25
Therefore JK = PM

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-<br> -<br> What is the vertex of the quadratic function f(x) = (x - 6)(x + 2)?

kakasveta [241]

Answer:

X=6,x=-2

Step-by-step explanation:

To solve this question we will have to follow the step by step procedure

(x-6)(x+2)

x^2+2x-6x-12

Let's continue

x^2-4x-12

Let's factorise

x^2-6x+2x-12

x(x-6)+2(x-6)

(x-6)(x+2)

so to solve further that is to get the value for x

x-6=0

Add 6 to both sides

x=6

x+2=0

Substrate 2 from both sides

x=-2

Therefore x=6,x=-2

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A card is drawn at random from a standard deck of 52 cards. Find the following conditional probabilities. a) The card is a diam

Inga [223]

Answer:

$a.\frac{1}{13}\\b.\frac{1}{2}\\c.\frac{1}{13}\\d.\frac{1}{13}$

Step-by-step explanation:

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

Total number of cards = 52

Let A denotes the event that the card is a diamond and B denotes the card is red.

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Let A denotes the event that the card is red and B denotes the card is diamond.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{4}{52}}\\=\frac{1}{2}$

Let A denotes the event that the card is nine and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

Let A denotes the event that the card is a king and B denotes the card is a face card.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{4}{52}}{\frac{12}{52}}\\=\frac{1}{13}$

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2 years ago

FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers

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Answer:

C ≈ 18.85yd

Step-by-step explanation:

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2 years ago

Convert 657 milligrams to grams.<br><br> 0.657 g<br> 6.57 g<br> 657 g<br> 6,570 g

ElenaW [278]

0.657g is the correct answer

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2 years ago

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Given f (x) = x2 + 4x + 5, what is f of the quantity 2 plus h end quantity minus f of 2 all over h equal to?

meriva

By evaluating the quadratic function, we will see that the differential quotient is:

$\frac{f(2 + h) - f(2)}{h} = 8 + h$

Here we have the quadratic function:

$f(x) = x^2 + 4x + 5$

Evaluating the quadratic equation we get:

$\frac{f(2 + h) - f(2)}{h}$

So we need to replace the x-variable by "2 + h" and "2" respectively.

Replacing the function in the differential quotient:

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If we simplify that last fraction, we get:

$\frac{8h + h^2}{h} = 8 + h$

The third option is the correct one, the differential quotient is equal to 8 + 4.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

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2 years ago