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kherson [118]
3 years ago
10

What equation results from completing the square and then factoring? x2 + 16x = 41

Mathematics
1 answer:
fgiga [73]3 years ago
8 0
The answer is A :)!!!!
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How many pieces 3 and three fifths in. long can be cut from 28 metal rods each 15 in.​ long? Disregard waste.
Murrr4er [49]

Answer: 112 pieces


Step-by-step explanation:

1. Rewrite 3^{\frac{3}{5}} as a decimal. Divide the numerator and the denominator of the fractional part and add it to the integer part:

3+0.6=3.6in

2. You know that each metal rod is 15 inches long. Then, you must divide the lenght of each one by 3.6:

pieces=\frac{15in}{3.6in}4.16

3. The waste is 0.16, therefore, you obtain 4 pieces from a metal rod. The total pieces obtained from 28 metal rods are:

total=4pieces*28=112pieces

8 0
3 years ago
Read 2 more answers
Which graph represents the function f (x) = 3 x minus 2 Over x minus 2?
RSB [31]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit
Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have {13 \choose 2} = 78 possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.

6 0
3 years ago
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
Shalnov [3]

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5)  are the coordinates of the center of the circle.

r=6  is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

6 0
3 years ago
How to prove this using trig identities?
Pavlova-9 [17]

Step-by-step explanation:

tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)

 

                      = (sin2B + cos2B)/[(cosB)(sinB)]

 

                       = 1/[(cosB)(sinB)]

 

                        = (1/cosB)(1/sinB)

 

                        = (secB)(cscB)

7 0
3 years ago
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