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3 years ago

Given A(-2,1) and B(4,3), what is the midpoint of segment AB

Mathematics

1 answer:

suter [353]3 years ago

6 0

Answer:

(1,2)

Step-by-step explanation:

to find the midpoint of a line you have to find the midpoint of the x and the y

x is -2 and 4 the midpoint is 1

y is 1 an 3 the midpoint is 2

(1,2)

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Is (x+1) a factor off (x)=x3+x2−4x−4? <br><br> A) Yes<br> B) No

satela [25.4K]

Remainder theorem again...

$p(x)=x^3+x^2-4x-4$

$p(-1)=(-1)^3+(-1)^2-4(-1)-4=0$

So Yes, $x+1$ is a factor.

4 0

3 years ago

Read 2 more answers

HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer c

Anna71 [15]

Answer:

$n=241$

Step-by-step explanation:

We are given

$5x^2+nx+48$

Let's assume it can be factored as

$5x^2+nx+48=(5x-s)(x-r)$

now, we can multiply right side

and then we can compare it

$5x^2+nx+48=5x^2-5rx-sx+rs$

$5x^2+nx+48=5x^2-(5r+s)x+rs$

now, we can compare coefficients

$rs=48$

$5r+s=-n$

$n=-(5r+s)$

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

$48=-+(1\times 48)$

$48=-+(2\times 24)$

$48=-+(3\times 16)$

$48=-+(4\times 12)$

$48=-+(6\times 8)$

Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

and because n is negative of 5r+s

so, we will both n and r as negative

So, we can assume

r=-48 and s=-1

so, we get

$n=-(5\times -48-1)$

$n=241$

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3 years ago

How many times does 17 go into 65 no decimals please only remainders if there is one.

STALIN [3.7K]

Answer: 3.82

Step-by-step explanation: there is a decimal

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2 years ago

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A survey of athletes at a high school is conducted, and the following facts are discovered: 13% of the athletes are football pla

nekit [7.7K]

Answer:

The probability that an athlete chosen is either a football player or a basketball player is 56%.

Step-by-step explanation:

Let the athletes which are Football player be 'A'

Let the athletes which are Basket ball player be 'B'

Given:

Football players (A) = 13%

Basketball players (B) = 52%

Both football and basket ball players = 9%

We need to find probability that an athlete chosen is either a football player or a basketball player.

Solution:

The probability that athlete is a football player = $P(A)= \frac{13}{100}=0.13$

The probability that athlete is a basketball player = $P(B)= \frac{52}{100}=0.52$

The probability that athlete is both basket ball player and football player = $P(A\cap B) = \frac{9}{100}=0.09$

We have to find the probability that an athlete chosen is either a football player or a basketball player $P(A\cup B)$ .

Now we know that;

$P(A\cup B)= P(A) + P(B) - P(A \cap B)\\\\P(A\cup B) = 0.13+0.52-0.09=0.56\\\\P(A\cup B) = \frac{0.56}{100}=56\%$

Hence The probability that an athlete chosen is either a football player or a basketball player is 56%.

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3 years ago

The elevation of a building's basement is -12 feet. Given the building is square shaped and the total length of the building fro

alina1380 [7]

Picture it in your head
at -12 feet elevation (12 feet below ground level), the basement starts
62 feet from that level is the roof
so count 62 units up from -12 and get 50 feet above ground level (60-12=50)

answer is 50 feet above ground level

8 0

3 years ago

Given A(-2,1) and B(4,3), what is the midpoint of segment AB​

Given A(-2,1) and B(4,3), what is the midpoint of segment AB