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3 years ago

-. Which statement is true?

Mathematics

1 answer:

STatiana [176]3 years ago

8 0

Answer:

All rectangles are quadrilaterals

Step-by-step explanation:

You might be interested in

A computer originally cost $540. The discount is 20%. What is the new sales price?

Oksi-84 [34.3K]

Answer: $432

Step-by-step explanation: 540 minus 20% is 432 so $540 minus 20% is $432

3 0

3 years ago

-3=k+3 How do I solve this and can u leave instructions so I can understand what u did

Tamiku [17]

Answer:

k = 6

Step-by-step explanation:

-3=k+3

1) you must isolate the variable (k)

2) subtract each side by 3, to get k=-6

> -3-3=k+3-3

-6=k

now your variable is isolated, so you have your answer.

7 0

4 years ago

Integral of x"2+4/x"2+4x+3

dolphi86 [110]

I'm guessing you mean

$\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx$

First, compute the quotient:

$\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}$

Split up the remainder term into partial fractions. Notice that

x ² + 4x + 3 = (x + 3) (x + 1)

Then

$\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52$

So the integral becomes

$\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}$

We can simplify the result somewhat:

$\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}$

3 0

3 years ago

What is the solution for x in the equation? -4 + 5x − 7 = 10 + 3x − 2x A. B. C. D.

laiz [17]

Answer:

x=21/4

Step-by-step explanation:

1. combine like terms

-4+-7= -11 3x-2x=x

2. subtract x

5x-11=x+10

4x-11=10

3. add 11

4x=21

4. divide 21 by 4 = 21/4

8 0

3 years ago

Peter is writing a number in scientific notation.The number is grater that ten million and less that one hundred million.Which e

OLga [1]

Answer:

$M = a \times 10^7$ where 1 < a ≤ 9

The EXPONENT USED BY PETER is 7 in all the possible cases.

Step-by-step explanation:

Let us assume the needed number is M.

Also, given:

The needed number is GREATER than 10 Million.

⇒ M > 10 Million

⇒ M > 10,000,000

⇒ M > $1 \times 10^7$ ...... (1)

The needed number is SMALLER than 100 Million.

⇒ M < 100 Million

⇒ M < 100,000,000

⇒ M < $1 \times 10^8$ ...... (2)

Comparing (1) and (2) we can see that M can have more than 7 zeroes after 1 but LESS than 8 zeroes after 1.

So, the possible values of M can be:

$M = a \times 10^7$ where 1 < a ≤ 9

So, the EXPONENT USED BY PETER is 7 in all the possible cases.

5 0

4 years ago