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mrs_skeptik [129]
3 years ago
14

Look at triangle ABC. What is the Length of the side AB of the triangle? A. 2 B. Squ. Root 20 C. 6 Squ. Root 38

Mathematics
1 answer:
Over [174]3 years ago
5 0

Answer:

<h2><em>√</em><em>2</em><em>0</em><em> </em><em>units</em></h2>

<em>Option</em><em> </em><em>B</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>option</em><em> </em>

<em>solu</em><em>tion</em><em>,</em>

<em>A</em><em>(</em><em>4</em><em>,</em><em>5</em><em>)</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>></em><em>(</em><em>X1,</em><em>x2</em><em>)</em>

<em>B</em><em>(</em><em>2</em><em>,</em><em>1</em><em>)</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>></em><em>(</em><em>y1</em><em>,</em><em>y2</em><em>)</em>

<em>Now</em><em>,</em>

<em>ab =  \sqrt{ {(x2 - x1)}^{2} +   {(y2 - y1)}^{2} }  \\  \:  \:  \:  =  \sqrt{ {(2 - 4)}^{2}  +  {(1 - 5)}^{2} }  \\  \:  \:  =   \sqrt{ {( - 2)}^{2} +  {( - 4)}^{2}  }   \\  \:  \:  =  \sqrt{4 + 16}  \\  \:  \:  \ = \sqrt{20}</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

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Warren brought $41.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as th
melomori [17]

Answer:

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

Step-by-step explanation:

If Warren went to the store with $41.5 and left with only $4 then the total amount he spent on the store was:

total spent = 41.5 - 4 = 37.5

Since he bought a brush, a sketchbook and a paint set we have:

brush + sketchbook + paint = 37.5

The prices of each item are related in the following manner:

brush = (1/6)*sketchbook

sketchbook = (3/4)*paint

brush = (1/6)*(3/4)*paint = (3/24)*paint = (1/8)*paint

Using these expressions on the one that represents the total value we will be abble to have only one variable, paint. We have:

(1/8)*paint + (3/4)*paint + paint = 37.5

(1/8)*paint + (6/8)*paint + (8/8)*paint = 37.5

(15/8)*paint = 37.5

paint = 37.5/(15/8) = 37.5*(8/15) = 20

brush = (1/8)*paint = (1/8)*20 = 2.5

sketchbook = (3/4)*paint = (3/4)*20 = 15

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

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The 15% discount for home gym, and the $889 cost of the Flex 3,000 gives;

1. f(x) = 0.85•x + 139.95

2.

  1. With the deal, Charlotte's before tax cost is $895.6
  2. The deal cost is more than the initial price making the deal not worth it.

3. The domain is; 889 < x < ∞

The range is; 895.6 ≤ f(x) ‹ ∞

<h3>How can the function notation for the cost be found?</h3>

1. The percentage discount Charlotte gets = 15% = 0.15

Cost of the 6 months subscription = $139.95

f(x) = Final before tax

x = Price of the home gym equipment

Therefore;

Given the 15% off, we get;

f(x) = (1-0.15)•x + 139.95

Which gives;

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2. Question 1

Cost of the Flex3000, <em>x</em> = $889

Therefore;

f(889) = 0.85 × 889 + 139.95 = 895.6

Charlotte's before–tax cost with the deal is therefore, $895.6

Given that the workout channel holds no value to Charlotte, and the deal cost is higher than the initial cost, it isn't worth it for her to pay for the subscription to get the 15% discount

3. The domain if the Awesome Flex is the cheapest option, is the possible initial price of the home gym equipment.

The domain is therefore;

  • 889 < x < ∞

The range is the possible values of the before tax cost.

The range is therefore;

  • 895.6 ≤ f(x) ‹ ∞

Learn more about writing equations here:

brainly.com/question/11331093

#SPJ1

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