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3 years ago

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the vertices of triangle DEF are D(-7,10) E (-5,5) and F (-8,1) if triangle DEF is translated to the right 12 units what are the

coordinates of the vertices of the image? name the triangle

1 answer:

Nady [450]3 years ago

6 0

Translation to the right by 12 units adds 12 to every x-coordinate. The new vertices are

... D'(5, 10), E'(7, 5), F'(4, 1)

It will be ∆D'E'F'.

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If an intravenous solution containing 123 mg of a drug substance in each 250-mL bottle is to be administered at the rate of 200

12345 [234]

Answer:

24.39mL of the solution would be given per hour.

Step-by-step explanation:

This problem can be solved by direct rule of three, in which there are a direct relationship between the measures, which means that the rule of three is a cross multiplication.

The first step to solve this problem is to see how many mg of the solution is administered per hour.

Each minute, 200 ug are administered. 1mg has 1000ug, so

1mg - 1000 ug

xmg - 200 ug

$1000x = 200$

$x = \frac{200}{1000}$

$x = 0.2mg$

In each minute, 0.2 mg are administered. Each hour has 60 minutes. How many mg are administered in 60 minutes?

1 minute - 0.2 mg

60 minutes - x mg

$x = 60*0.2$

$x = 12mg$

In an hour, 12 mg of the drug is administered. In 250 mL, there is 123 mg of the drug. How many ml are there in 12 mg of the drug.

123mg - 250mL

12 mg - xmL

$123x = 250*12$

$x = \frac{250*12}{123}$

$x = 24.39$ mL

24.39mL of the solution would be given per hour.

7 0

3 years ago

Jon red a rides in his pocket when he found two pennies

Sliva [168]

Answer:

2.

Step-by-step explanation:

2 pennies equal 2 cents.

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3 years ago

How many negative roots will this function have? f(x) = x^7 – 2x^4 + 7x^2 + 2x – 2<br> help plsss

Vikentia [17]

There are two negative roots to the provided polynomial function

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

<h3>What is polynomial?</h3>

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

$\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n$

We have a polynomial function:

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

$\rm f(x) =\left(x+1\right)\left(x^6-x^5+x^4-3x^3+3x^2+4x-2\right)$

Using the zero product property:

$\rm \left x+1\right = 0 \ \ \ or \left x^6-x^5+x^4-3x^3+3x^2+4x-2\right = 0$

After solving:

x = -1, x = -0.853, and x = 0.418 (using the graph method)

Thus, there are two negative roots to the provided polynomial function

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

Learn more about Polynomial here:

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2 years ago

Solve the equation. Explain how you found your answer.<br><br> 8y + 2y = 2y + 40

Jlenok [28]

Answer:

y = 5

Step-by-step explanation:

Subtract 2y from either side. It'll cancel out both of them. Then the equation is 8y = 40.

Divide both sides by 8 and you get y=5

Pretty sure that's right. I have a dad who has a math degree so I think it would be right because he helps me every time.

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The correct answer is B

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2 years ago

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