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garri49 [273]
3 years ago
11

The least common multiple of two numbers is 40. The difference of the two numbers is 2.What is the value of the greater of the t

wo numbers?
Mathematics
1 answer:
Natalka [10]3 years ago
6 0
20=2*2*5   42=2*3*7 that is your awnser

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Y= (x-9) (x+3)
juin [17]

Answer:

y = x² − 6x − 27

Step-by-step explanation:

To distribute, you can use something called FOIL.  It stands for First, Outer, Inner, Last.

First, multiply the First term in each factor.

x · x = x²

Now multiply the Outer terms in each factor.

x · 3 = 3x

Next multiply the Inner terms in each factor.

-9 · x = -9x

Finally, multiply the Last terms in each factor.

-9 · 3 = -27

Add them all up:

x² + 3x − 9x − 27

x² − 6x − 27

4 0
3 years ago
For the following telescoping series, find a formula for the nth term of the sequence of partial sums
gtnhenbr [62]

I'm guessing the sum is supposed to be

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}

Split the summand into partial fractions:

\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}

1=a(5k+4)+b(5k-1)

If k=-\frac45, then

1=b(-4-1)\implies b=-\frac15

If k=\frac15, then

1=a(1+4)\implies a=\frac15

This means

\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}

Consider the nth partial sum of the series:

S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)

The sum telescopes so that

S_n=\dfrac2{14}-\dfrac2{5n+4}

and as n\to\infty, the second term vanishes and leaves us with

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17

7 0
3 years ago
Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?
Lerok [7]

Answer:

a) The formula for the area of a circle  

Step-by-step explanation:

The formula for the area of a circle is  

A = πr²

π is an irrational number and, no matter what value you use for r, the area will be an irrational number,

b) is wrong. A = ½(a + b)h.  

c) is wrong. A = ½bh.

d) is wrong. A = bh.

All measurements are rational numbers, so the areas will be rational numbers.

8 0
3 years ago
Jacob sells stools with round seats. if
Bas_tet [7]

The surface area of the stool is 3629.84 square cm

<h3>How to determine the surface area?</h3>

The radius is given as:

r = 34.2

The surface area is calculated using:

A = πr^2

So, we have:

A = 3.14 * 34^2

Evaluate

A = 3629.84

Hence, the surface area of the stool is 3629.84 square cm

Read more about surface area at:

brainly.com/question/6613758

#SPJ1

5 0
2 years ago
The endpoint is the ___ of the angle
Phoenix [80]

Hey there!

ANSWER: <u>vertex</u>

<h2>EXPLANATION:</h2>

Fill in the blank:

The endpoint is the <u>vertex</u> of the angle.

This is your answer because an angle is formed by two rays which are the sides of an angle and they have an endpoint called the vertex.

Hope this helps!

-TestedHyperr

6 0
3 years ago
Read 2 more answers
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