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Vikentia [17]
3 years ago
8

Explain how to use a pattern to find the product of a power of 10 and a decimal

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

for a power of ten all you need is just add a zero, example, 10 to the power of 10 just add ten zeros behind the 10 -------> 100,000,000,000

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Write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers
Ilia_Sergeevich [38]

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points (x_1,y_1)\text{ and }(x_2,y_2), then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through (-3,-6) and (2,-2). So, the equation of line is

y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))

y+6=\dfrac{-2+6}{2+3}(x+3)

y+6=\dfrac{4}{5}(x+3)

y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)

Subtract 6 from both sides.

y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6

y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}

y=\dfrac{4}{5}(x)+\dfrac{-18}{5}

y=\dfrac{4}{5}(x)-\dfrac{18}{5}

Therefore, the equation of line is y=\dfrac{4}{5}(x)-\dfrac{18}{5}.

3 0
3 years ago
Triangle DEF with vértices D(2,1), E(3,5), F(6,2) is reflected acreage the x-axis to make triangle D’E’F
lara [203]
Answer: A

And the answer is literally on top of that question
8 0
2 years ago
The track-and-field coach wants to know whether the students in the entire school prefer track races or field events. The coach
strojnjashka [21]

All students in each grade

audience: <u>students</u> - counts for both boys and girls.

option (B) for teachers is irrevelant.

option (C) doesn't include girls.

option (D) doesn't include the entire school

Hence, option A is correct.

8 0
2 years ago
Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h
Vesnalui [34]

Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment. This can be obtained by using percentage formula.

<h3>How much have they saved?</h3>

The percentage of a number can be obtained using percentage formula,

If P% of X is Y then it can be denoted using the formula of percentage as,

⇒ P% of X = Y

⇒ P% × X = Y   (where P% is P/100)

Here in the question it is given that,

  • Mr. and Mrs. Lorenzo want to buy a home valued at $213,500
  • They have 18% of this amount saved for a down payment

We have to find the amount they saved for the down payment.

  • Given that the total amount = $213,500
  • Percentage they are saving = 18%

The amount they saved for the down payment,

18% of the total amount = 18% of $213,500

Using the percentage formula we get,

18% of $213,500 = 18% × $213,500  

18% of $213,500 = 18/100 × $213,500

18% of $213,500 = $ 38,430.00

Hence Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment.

Learn more about percentages here:

brainly.com/question/14366896

#SPJ4

3 0
2 years ago
Please need it in 5 mins
Vilka [71]

Answer:

70,110,110,110

Step-by-step explanation:

I'm Asian and I was less than 5 minutes

4 0
3 years ago
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