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2 years ago

What is the distance between these set of points?

Mathematics

1 answer:

Arturiano [62]2 years ago

4 0

Step-by-step explanation:

applying the distance formula,

±√(0-5)^2 + (-3-0)^2 = ±√34 (rej -√34 since distance > 0)

Topic: coordinate geometry

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Can somebody step by step explain how to solve this problem??<br><br> (3x^2y)(-7xy^3)

charle [14.2K]

Answer:

$\boxed{\bold{-21x^3y^4}}$

Explanation:

[ Step One ] Remove Parenthesis: (a) = a

$\bold{-3x^2y\cdot \:7xy^3}$

[ Step Two ] Multiply: $\bold{3\cdot \:7=21}$

$\bold{-21x^2xy^3y}$

[ Step Three ] Apply Exponent Rule $\bold{\:a^b\cdot \:a^c=a^{b+c}: \ x^2x=\:x^{2+1}=\:x^3}$

$\bold{-21x^3y^3y}$

[ Step Four ] Apply Exponent Rule: $\bold{y^3y=\:y^{1+3}=\:y^4}$

$\bold{-21x^3y^4}$

[ $\boxed{\bold{Final \ Answer}}$ ]

➤ $\bold{-21x^3y^4}$

$\boxed{\bold{Mordancy}}$

5 0

2 years ago

Read 2 more answers

What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?

DedPeter [7]

f(x) = 112 - kx
f(-3) = 112 - k(-3)
f(-3) = 112 - (-3k)
f(-3) = 112 + 3k
121 = 112 + 3k
- 112 - 112
      9 = 3k
      3    3
      3 = k

6 0

2 years ago

To solve y and x, I am adding a picture

Viktor [21]

Answer:

$x =\sqrt 5$

$y = \sqrt{5$

Step-by-step explanation:

Given

The attached triangle

Required

Solve for x

Considering angle 45 degrees, we have:

$\cos(45) = \frac{y}{\sqrt{10}}$ --- cosine formula i.e. adj/hyp

Solve for y

$y = \sqrt{10} * \cos(45)$

In radical form, we have:

$y = \sqrt{10} * \frac{1}{\sqrt 2}$

$y = \sqrt{10/2}$

$y = \sqrt{5$

To solve for x, we make use of Pythagoras theorem

$x^2 + y^2 = (\sqrt{10})^2$

$x^2 + y^2 =10$

Substitute for y

$x^2 + (\sqrt 5)^2 =10$

$x^2 + 5 =10$

Collect like terms

$x^2 =10-5$

$x^2= 5$

Solve for x

$x =\sqrt 5$

4 0

2 years ago

Lonny is serving soup for charity. Each bowl holds 2.15 cups of soup. How many bowls will Lonny use if he serves a total of 94.6

azamat

Answer: 44 bowls

Step-by-step explanation:

94.6 divided by 2.15 = 44 bowls of soup

***If you found my answer helpful, please give me the brainliest. :) ***

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2 years ago

What is 60,000 10 times as much

Veseljchak [2.6K]

6000 would be your answer

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3 years ago