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Sedaia [141]
2 years ago
11

Find the area and perimeter.

Mathematics
1 answer:
lara [203]2 years ago
8 0

Answer:

Step-by-step explanation:

Perimeter of triangle =  4x - 3 + x + 9 + 8

                                   = <u>4x + x</u> -<u> 3 + 9 + 8</u>

                                  = 5x + 14

Area  = \frac{1}{2}*base *height

         = \dfrac{1}{2}*8*3x\\\\= 4 * 3x\\\\= 12x

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Can someone help me with number 8 please? Thank you.
Naddik [55]
Answer: -4 \le x \le 5
Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write \left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\}

------------------------------------------------------------------------------

Explanation:

The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.

So that's how I got -4 \le x \le 5 (x is between -4 and 5; inclusive of both endpoints)

Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"

Writing \left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\} is the set-builder notation way of expressing the domain. The x\in\mathbb{R} portion means "x is a real number"

6 0
3 years ago
the tens digit of a two digit number is twice the units digit. The sum of the digits is twelve. Find the original number.
KatRina [158]
X - tens digit
y - units digit

x=2y\\&#10;x+y=12\\\\&#10;2y+y=12\\&#10;3y=12\\&#10;y=4\\\\&#10;x=2\cdot4\\&#10;x=8\\\\&#10;10\cdot8+4=\boxed{84}&#10;
4 0
3 years ago
Person 1 writes internal operating procedures 3 times faster than Person 2. Most of the procedures took 30 minutes each to creat
ad-work [718]

Person 1 takes 3 hour 10 minutes to complete 9 procedures

<em><u>Solution:</u></em>

From given question,

Person 2 takes 30 minutes per procedure

Person 1 writes internal operating procedures 3 times faster than Person 2

So we get, Person 1 takes 3 times faster than Person 2

Person 1 takes 10 minutes per procedure

But two of the procedures for Person 1 took an hour each

So person 1 takes 60 minutes each for two of procedures ( since 1 hour = 60 minutes )

<em><u>Calculate how long it took Person 1 to complete 9 procedures:</u></em>

So for first 7 procedures person 1 would take 10 minutes per procedure and for last two procedures person 1 would take 60 minutes per procedure

time $=7$ procedures $\times \frac{10 \text { minutes }}{1 \text { procedure }}+2$ procedure $\times \frac{60 \text { minutes }}{1 \text { procedure }}$

time=70 minutes +120minutes\\\\time=190minutes

We know that,

1 hour = 60 minutes

Therefore,

190 minutes = 60 minutes + 60 minutes + 60 minutes + 10 minutes

190 minutes = 1 hour + 1 hour + 1 hour + 10 minutes = 3 hour 10 minutes

Therefore Person 1 takes 3 hour 10 minutes to complete 9 procedures

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