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3 years ago

Find the distance between the points (3,7) and (3,2)

Mathematics

1 answer:

Serggg [28]3 years ago

3 0

Answer:

5 units.

Step-by-step explanation:

Since the distance is straight up.

You have two options:

Graph those two points and count the spaces separating them

Since they have the same x, you would only need to subtract 7-2.

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6000 increased by 145%

Lisa [10]

Your question would be clearer if written as "What is 145% of 6000?"

1.45(6000) = 8700

8 0

3 years ago

Which is an appropriate estimate

saveliy_v [14]

Answer:

Step-by-step explanation:

This answer is the closest when it comes to 3,844 divided by 75.

6 0

3 years ago

Read 2 more answers

5/x - 3/4 = Simplify

Verdich [7]

Answer:

$\frac{20-3x}{4x}$

Step-by-step explanation:

-This is an LCM problem.

-To simplify, we introduce a least common multiplier which is equivalent the product of the denominators:

$LCM=x\times 4\\\\=4x$

#We introduce the LCM and adjust the fractions based on it :

$=\frac{5}{x}+\frac{3}{4}\\\\\\=\frac{20}{4x}+\frac{3x}{4x}\\\\\\=\frac{20-3x}{4x}$

Hence, the simplified form of the fraction is: $\frac{20-3x}{4x}$

7 0

3 years ago

Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6

Alla [95]

Given:

The expression is:

$2x^3+mx^2+nx+c$

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

$m+n=-6$

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

$P(x)=2x^3+mx^2+nx+c$

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

$P(2)=P(-1)$ ...(i)

Substituting $x=-1$ in the given polynomial.

$P(-1)=2(-1)^3+m(-1)^2+n(-1)+c$

$P(-1)=-2+m-n+c$

Substituting $x=2$ in the given polynomial.

$P(2)=2(2)^3+m(2)^2+n(2)+c$

$P(2)=2(8)+m(4)+2n+c$

$P(2)=16+4m+2n+c$

Now, substitute the values of P(2) and P(-1) in (i), we get

$16+4m+2n+c=-2+m-n+c$

$16+4m+2n+c+2-m+n-c=0$

$18+3m+3n=0$

$3m+3n=-18$

Divide both sides by 3.

$\dfrac{3m+3n}{3}=\dfrac{-18}{3}$

$m+n=-6$

Hence proved.

7 0

3 years ago

Convert 123 into quinary number .

muminat

To convert decimal number 123 to quinary, follow these steps:

1. Divide 123 by 5 keeping notice of the quotient and the remainder.

2.Continue dividing the quotient by 5 until you get a quotient of zero.

3. Then just write out the remainders in the reverse order to get quinary equivalent of decimal number 123.

5 0

2 years ago