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g100num [7]
3 years ago
12

We can find the length of DE using the Pythagorean Theorem:

Mathematics
2 answers:
Sloan [31]3 years ago
8 0
The answer is 

<span>C)  <span>DE = <span>(4 - 1)2 + (1 - 3)<span>2

rewriten 

</span></span></span></span>DE = sqrt (4 - 1)^2 + (1 - 3)^2
prohojiy [21]3 years ago
6 0
What's the difference between A) and C)??
There should be an E) because the correct answer would be in either of these forms:
{DE}^{2}  =  {(4 - 1)}^{2}  +  {(1 - 3)}^{2}  \:  \: or \\  DE  =  \sqrt{( {3}^{2}  +  {2}^{2} )} \:   \: or \\  {DE}^{2}  =  {(4 - 1)}^{2} +  {(3 - 1)}^{2}
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What is 1/4 in feet?
Readme [11.4K]

Answer:

0.25 feet

7.62 centimeters

3 inches

Step-by-step explanation:

Not really a clear question-

6 0
3 years ago
Classify each system of equations as having a single solution, no solution, or infinite solutions.
mina [271]
To find what the answer is for this problem, we need to find out whether each of them have infinite, no, or single solutions. We can do this individually.

Starting with the first one, we need to convert both of the equations into slope-intercept form. y = -2x + 5 is already in that form, now we just need to do it to 4x + 2y = 10.

2y = -4x + 10
y = -2x +5

Since both equations give the same line, the first one has infinite solutions.

 Now onto the second one. Once again, the first step is to convert both of the equations into slope-intercept form. 

x = 26 - 3y becomes
3y = -x + 26
y = -1/3x + 26/3 

2x + 6y = 22 becomes
6y = -2x + 22
y = -1/3 x + 22/6

Since the slopes of these two lines are the same, that means that they are parallel, meaning that this one has no solutions. 

Now the third one. We do the same steps. 

5x + 4y = 6 becomes
4y = -5x + 6
y = -5/4x + 1.5
 
10x - 2y = 7 becomes
2y = 10x - 7
y = 5x - 3.5

Since these two equations are completely different, that means that this system has one solution.

Now the fourth one. We do the same steps again. 

x + 2y = 3 becomes
2y = -x + 3
y = -0.5x + 1.5

4x + 8y = 15 becomes
8y = -4x + 15
y = -1/2x + 15/8

Once again, since these two lines have the same slopes, that means that they are parallel, meaning that this one has no solutions. 

Now the fifth one. 

3x + 4y = 17 becomes
4y = -3x + 17
y = -3/4x + 17/4

-6x = 10y - 39 becomes
10y = -6x + 39
y = -3/5x + 3.9

Since these equations are completely different, there is a single solution. 

Last one!

x + 5y = 24 becomes
5y = -x + 24
y = -1/5x + 24/5

5x = 12 - y becomes
y = -5x +12

Since these equations are completely different, this system has a single solution. 
8 0
3 years ago
How can you use 4s fact to find 7x8? Give the product in your explanation.
Mkey [24]
So 4's facts

we know that 4 times 2=8 and the associative property of multiplication says
a(bc)=(ab)c

so 7(8) (means 7 times 8) means 7((4)(2)) and associative say we can group them and say (7)(4)(2) so (4)((7)(2)) or 4(14) and 4 times 14=56

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7 0
3 years ago
A theater can hold 120 giants or 144 elves. If 90 giants are already inside, how many elves can also be admitted?
navik [9.2K]

Answer:

36

Step-by-step explanation:

make proportion giants to elves

120/144 = 90/x cross multiply

120x =144*90

120x =12960 divide by 120

x = 108

so if there are 90 giants in the theater there are  108 elves also

considering that total 144 elves can be  in the theater subtract 144 and 108 so 36 more elves can be admitted

3 0
3 years ago
Read 2 more answers
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SSSSS [86.1K]

Answer:

S=1500+120N

Step-by-step explanation:

3 0
2 years ago
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