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3 years ago

What is 21x5 in expanded form?

Mathematics

2 answers:

Otrada [13]3 years ago

8 0

Answer:

100+5

Step-by-step explanation:

Expanded Form is breaking down each digit by place value.

Maksim231197 [3]3 years ago

4 0

Answer:

(20x5)+(1x5) =105

Step-by-step explanation:

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To find the next number in the sequence: 6, 9, 12, 15, of the following? you would need to do which of the following.

ycow [4]

C. add 3 to 15 because the sequence is +3 every time

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3 years ago

Express the given logarithm in terms of common logarithms. Then approximate its value to four decimal places.

zhannawk [14.2K]

Answer:

3.4594

Step-by-step explanation:

To change the base of a logarithm

• $log_{b}$ x = $\frac{log_{c}x }{log_{c}b }$

where c represents the new base

Changing the base from 2 to 10

$log_{2}$ 11 = $\frac{log_{10}11 }{log_{10}2 }$ ≈ 3.4594

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B9x%7D%5E%7B2%7D%20-%20%7B%28x%7D%5E%7B2%7D%20-%204%29%20%7B%7D%5E%7B2%7D%20

Alenkinab [10]

Answer:

${ x^2+3x-4}$

Step-by-step explanation:

Factor top and bottom.

The numerator is a difference of two squares, and the denominator is a quadratic.

$\frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} }$

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

= $\frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)}$

If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give

= ${ (x-1)(x+4)}$

= ${ x^2+3x-4}$

3 0

3 years ago

Read 2 more answers

20% simple interest rate paid after 6 months

igor_vitrenko [27]

Answer:

where is principal sorry I do not know

6 0

3 years ago

If O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6 , find the values of x and y for which LMNO must be a paralle

posledela

Answer:

$x=12\\y=\frac{13}{3}$

Step-by-step explanation:

For it to be a parallelogram, opposite sides have to be of same length.

OL = NM, and
ON = LM

Using the expressions given, we can make 2 equations:

Equation 1:

$OL=NM\\3y-6=x-5\\-x+3y=1$

Equation 2:

$ON=LM\\8x-8=7x+4\\$

Solving equation 2, we have x:

$8x-8=7x+4\\8x-7x=4+8\\x=12$

Plugging this value of x into equation 1, we can solve for y:

$-x+3y=1\\-(12)+3y=1\\-12+3y=1\\3y=13\\y=\frac{13}{3}$

So,

$x=12\\y=\frac{13}{3}$

7 0

4 years ago