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3 years ago

Fractions that have different denominators are called

Mathematics

2 answers:

bezimeni [28]3 years ago

7 0

Fractions with a different denominator are called "unlike fractions".

scoray [572]3 years ago

5 0

They are called unike fractions. If u would want to do anything to them u would have to make the denominaters the same

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In an arithmetic sequence, if a2= 5 and a10= 19 find a6

OLEGan [10]

Answer:

a₆ = 12

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = 5 and a₁₀ = 19 , then

a₁ + d = 5 → (1)

a₁ + 9d = 19 → (2)

Subtract (1) from (2) term by term to eliminate a₁

8d = 14 ( divide both sides by 8 )

d = 1.75

Substitute d = 1.75 into (1)

a₁ + 1.75 = 5 ( subtract 1.75 from both sides )

a₁ = 3.25

Then

a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12

6 0

3 years ago

Help me please and thank you

Kisachek [45]

Answer:

12.5 un^2

Step-by-step explanation:

The formula for area of a trapezoid is (a+b)/2 *h

a and b are the shorter and longer bases respectively. H is height, you have both.

Simply plug it into the equation and find your answer.

(2.5+7.5)/2 *2.5 = 5*2.5 which is equal to 12.5. Add units.

8 0

3 years ago

Use the given graph of f to estimate the intervals on which the derivative f ' is increasing or decreasing. (Enter your answers

NARA [144]

The derivative of a function is used to determine whether the function is increasing or decreasing on any intervals in its domain.

Derivative of function f is increasing in interval (-2 , 1) and (3 , 6)

Derivative of function f is decreasing in interval (1 , 3) and (6 , 9)

If f′(x) > 0 at each point in an interval , then the function is said to be increasing in that interval.

If f′(x) < 0 at each point in an interval , then the function is said to be decreasing on that interval.

By observing graph, it is observed that slope of function f is positive in interval (-2 , 1) and (3 , 6) . Hence, derivative of function f is increasing in interval (-2 , 1) and (3 , 6)

By observing graph, it is observed that slope of function f is negative in interval (1 , 3) and (6 , 9) . Hence, derivative of function f is decreasing in interval (1 , 3) and (6 , 9).

Learn more:

brainly.com/question/14330051

5 0

2 years ago

Which set of numbers could represent the lengths of the sides of a right triangle?

DiKsa [7]

Answer:

The first set: 8, 15, and 17.

Step-by-step explanation:

By the pythagorean theorem, a triangle is a right triangle if and only if

$\text{longest side}^2 = \text{first shorter side}^2 + \text{second shorter side}^2$ .

In this case,

$\text{longest side}^2 = 17^2 = 289$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 8^2 + 15^2\\ &=64 + 225 = 289 \end{aligned}$ .

In other words, indeed $\text{hypotenuse}^2 = \text{first leg}^2 + \text{second leg}^2$ . Hence, 8, 15, 17 does form a right triangle.

Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two

Factor out the common factor $2$ to simplify the calculations.

$\text{longest side}^2 = 20^2 = 400$

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 10^2 + 15^2\\ &=100 + 225 = 325 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

$\text{longest side}^2 = (2\times 11)^2 = 2^2 \times 121$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= (2 \times 6)^2 + (2 \times 9)^2\\ &=2^2 \times(36 + 81) = 2^2 \times 117 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

$\text{longest side}^2 = 11^2 = 121$ .

<h3> $\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 7^2 + 9^2\\ &=49+ 81 = 130 \end{aligned}$ .</h3>

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

6 0

4 years ago

You have quarters and nickels saved in a piggy bank. There is a total of $3.45 in the bank. If you have 70 cents in nickels, how

Andre45 [30]

Answer:

11 quarters

Step-by-step explanation:

First, I subtract : 3.45 - .70 = 2.75

Then, divide : 2.75 by 25 ( a quarter ) = .11

Check : 11 x 25 = 2.75 -------------> 2.75 + .70 = 3.45

Hope this helps :)

3 0

3 years ago

Read 2 more answers