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Finger [1]
3 years ago
7

An archaeologist descends 22 feet into a canyon then climbs up 15 feet what is his final position

Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0
He's 7 feet into the canyon ( -7 ).
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What is the domain of the function yx4
lutik1710 [3]

The domain of the function is [-4,∞).

Domain is the set of all the possible inputs for which the function is defined.

The given function is:

y = √x+4

It is a radical function. The function is defined if the expression inside the radical greater than or equal to zero.

x+4≥0

Subtract 4 from both the sides.

x+4-4 ≥ 0-4

x ≥ 4

The domain of the function is:

Domain = {xIx ≥ -4} = [-4,∞)

learn more about Domain here:

brainly.com/question/26098895

#SPJ4

5 0
1 year ago
Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated? ​
Harrizon [31]

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3.  The length of the vertical segment of the triangle graphed is 2.  Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3.  This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

4 0
3 years ago
What is 630 in simplest radical form?
Anit [1.1K]
3 radical 70. 9 times 70 is 630, 9 squared is 3.
6 0
3 years ago
Find the value of x given the diagram below
Pie

The value of x is 44°.

Step-by-step explanation:

Step 1:

The sum of the angles in a triangle is equal to 180°.

The sum of the angles along a straight line is 180°.

The two given angles of the triangle are 14° and 30°.

Assume the third angle is a.

The sum of 14°, 30° and a is 180°.

14+30+a=180.

a = 180-44 = 136.

So the third angle of the triangle is 136°.

Step 2:

The sum of the angles along a straight line is 180°.

The sum of the angle of the triangle, 136° and x is 180°.

136+x=180.

x = 180- 136 = 44.

So x measures 44°.

3 0
3 years ago
kiara spent 60 on a ticket to see drake then she spent 10 in a soda and one half of what was left on a t-shirt.she has 20 left.h
Y_Kistochka [10]
$120

60 + 10 = 70
70 - 20 = 50
50 ÷ 2 = 25
70 + 50 = 120
5 0
3 years ago
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