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3 years ago

How do you do factor x²-49?

Mathematics

1 answer:

Allisa [31]3 years ago

3 0

Answer:

(x-7)*(x+7)

Step-by-step explanation:

49 can be factored as 7*7 = 7^2

x^2 - 49

= x^2 - 7^2

You also learned that a^2 - b^2 = (a-b) * (a+b), so in this case:

x^2 - 7^2 = (x-7) * (x+7)

So x^2 - 49 factored to become (x-7)*(x+7)

Hope this help you :3

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the probability of drawing a red coin after three red coins are put back in the bag to replace the blue one that has been remove

Wewaii [24]

4? I'm not sure. Just guessed.

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2 years ago

IN ΔBCD line N is the perpendicular bisector of BC and line M is the perpendicular bisector of CD

Helga [31]

Answer:

Correct answer is D(the intersection of lines N and M)

Step-by-step explanation:

we Know that circumcenter of a triangle is point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices. In other words circumcenter of a triangle is the center of the circle which passes through the vertices of the triangle. It means, any side of the triangle will act as a chord of the circumcircle. Hence the circumcenter of a triangle must lie on the perpendicular bisectors of the sides. therefore the intersection of line N and M must be circumcenter of the triangle.

I hope this answer will help you

4 0

3 years ago

The population of a city in 2005 was 15,000. By 2015, the city's population had grown to 45,000 people. Assuming that the popula

Ede4ka [16]

Answer:

The population of the city in the year 2025 will be 85,000.

Step-by-step explanation:

The population of the city in year 2005 = 15,000

The population of the city in the year 2015 = 45,000

⇒ The change in population in 10 years

= Population in year 2015 - Population in the year 2005

= 45,000 - 15, 000

= 30,000

⇒ The change in population in 10 years = 30,000

Now, the population in the year 2015 = 45, 000

Let us assume the number of population in the year 2025 = m

Here, according to the question:

Since, the CHANGE OF RATE is a linear growth since 2005.

⇒ The change in population in each 10 years = 30,000

⇒ The change in population in next 10 years

= Population in year 2025 - Population in the year 2015

or, 30, 000 = m - 45, 000

⇒ m = 30,000 + 45,000 = 85,000

or, m = 85,000

Hence, the population of the city in the year 2025 will be 85,000.

3 0

3 years ago

Say you're playing three-card poker; that is, you're dealt three cards in a row at random from a standard deck of 52 cards. What

Brums [2.3K]

Answer:

Step-by-step explanation:

Given

There are 52 cards in total

there are total of 13 pairs of same cards with each pair containing 4 cards

Probability of getting a pair or three of kind card=1-Probability of all three cards being different

Probability of selecting all three different cards can be find out by selecting a card from first 13 pairs and remaining 2 cards from remaining 12 pairs i.e.

$=\frac{52\times 48\times 44}{52\times 51\times 50}$