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Assoli18 [71]
2 years ago
7

Approximate the distance between (1,2) and (7,6) to the nearest tenth.

Mathematics
1 answer:
kenny6666 [7]2 years ago
3 0

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[7 - 1]^2 + [6 - 2]^2}\implies d=\sqrt{6^2 + 4^2}\implies d=\sqrt{52}\implies d\approx 7.2

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7. A 50 foot rope is cut into two pieces, one long piece and one short piece. The length of the long piece
Lapatulllka [165]

Answer:

Short piece: 9 ft

Long piece: 41 ft

Step-by-step explanation:

The first step to solving this problem is to translate the given information into some equations. Since we know the total length of the rope is 50 feet, the solution when adding the equation for the short piece and the equation for the long piece must be 50. The information from the second sentence can be translated into a mathematical expression. The phrase "5 more than 4 times" has two key words. They are "times" and "more". "Times" implies multiplication while "more" implies addition. Therefore this sentence becomes the expressions 5+4x, where x is the length of the short piece.

The equations we have from the problem statement are:

L = 5+4x where L represents the length of the long piece and x represents the length of the short piece

x + L = 50

Substituting the equation for the long piece into the equation for total length:

x + (5+4x) = 50

5 + 5x = 50

5x = 45

x = 9 ft

Substituting x = 9 into the equation for the long piece:

L = 5 + 4(9)

L = 5 + 36

L = 41 ft

Checking the answers by substituting x = 9 and L = 41 into the equation for total length:

x + L = 50

9 + 41 = 50

50 = 50

4 0
3 years ago
Find x - y less than 0.
shutvik [7]
Is there any choices if not it could be 1 - 2 or abouve the first nuber x has to be smaller and y has to be bigger
4 0
4 years ago
Solve by substitution 3x+y=5 and 2x-y=10
prohojiy [21]
3x+5=2x-10
-2x -2x
X+5=-10
-5 -5
X=-15


3(-15)+y=5
-45+y=5
+45 +45
y=50


2(-15)-y=10
-30-y=10
+30 +30
-y=40
Divide by -1 on both sides
y=-40
8 0
4 years ago
A 96 inch stick breaks into two pieces in the ratio of 3:5. How big is each piece?
Svetlanka [38]
40 cm.

let the length of the first part be 3x, second part be 4x, third part be 5x.

where x is a positive length in cm.

why 3x,4x and 5x ?

so that the ratio of lengths of the 3 parts be 3:4:5.

total length of the stick = 3x + 4x + 5x = 12x=96cm

so x=96/12 = 8cm

therefore the largest part of the stick (5x)= 5*8 =40cm
6 0
3 years ago
Someone help me with this 2 questions! i will give u brainlist
larisa86 [58]
I missed the part where thats my problem
4 0
3 years ago
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