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Bess [88]
4 years ago
8

What is the range of the function g(x) = |x – 12| – 2?

Mathematics
1 answer:
vitfil [10]4 years ago
3 0
Range of g(x) = |x - 12| - 2 is {y | y > -2)
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If you can get the right answer I'll give brainliest <br> Evaluate log_(3)7
vodka [1.7K]

Answer:

Exact Form:

log  ( 7 )

log  ( 3 )

Decimal Form:

1.77124374

Step-by-step explanation:

6 0
3 years ago
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In ΔDEF, the measure of ∠F=90°, FE = 21, DF = 20, and ED = 29. What is the value of the cosine of ∠E to the nearest hundredth?
luda_lava [24]

Answer:

43.60°

Step-by-step explanation:

We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.

Considering triangle ΔDEF, where ∠F=90°, FE = 21, DF = 20, and ED = 29

As such, with respect to angle E, ED is the hypotenuse, DF is the opposite side and FE is the adjacent side

Cosine ∠E = 21/29

∠E = cos-1 0.724137931

∠E = 43.60° to the nearest hundredth

8 0
3 years ago
Read 2 more answers
Tom has $10 that he wants to use to buy pens and pencils. However, he does not want to buy more pens than pencils. A pen costs $
Olin [163]
Number of pencils x

number of pens y

3x + y = 10
x ≤ y

Draw the line 3x + y = 10 .[it passes by (0,10) and (-10/3,0)

Draw the line y=x [it passes by (0,0), (1,1), (2,2) etc]

Then the solution is the points with integer x and y, that belong to the segment of the line 3x +y = 10 between the x-axis and the line y=x. Those points are (1,7) , (2,4), (3, 1).



 
5 0
3 years ago
What are two conclusions you can draw from this statement? Support your answers. Point P is the midpoint of QR.
Alik [6]
1 conclusion you can make is that p is the bisector of the line. And another is that QP and PR are congruent.
Sorry if not right :/
8 0
3 years ago
Mr. Holloway is a craftsman who makes custom guitars by hand. His last order was for 2 guitars, and it took him 8 weeks to make
o-na [289]

Answer:

It took Mr. Holloway 28 weeks to make 7 guitars.

Step-by-step explanation:

The question is incomplete, but if we are trying to find out how many weeks it would take him to make 7 guitars then the answer would be 28.

First you have to find out how many weeks it takes him to make 1 guitar.

8 ÷ 2 = 4 (4 weeks to make 1 guitar)

Then you have to multiply 4 by 7 since it takes 4 weeks to make 1 guitar.

4 * 7 = 28 (28 weeks to make 7 guitars)

7 0
3 years ago
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