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Eduardwww [97]
4 years ago
14

= 5( - 7 + x)" alt=" - 32 + 4 x = 5( - 7 + x)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
harkovskaia [24]4 years ago
7 0

\bf -32+4x=5(-7+x)\implies -32+4x=\stackrel{\textit{distributing}}{-35+5x} \\\\\\ \stackrel{\textit{subtracting 4x to both sides}}{-32=-35+x}\implies \stackrel{\textit{adding 35 to both sides}}{3=x}

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Find the equation of the line with a slope of 3/4 and passes through (4-2)
Ira Lisetskai [31]

Answer:

y = 3/4x - 5

Step-by-step explanation:

An equation of a line can be written in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Let's plug in what we know.

The slope is 3/4.

y = 3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 3/4(4) + b

To find b, multiply the slope and the input of x(4)

-2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-5 = b

Plug this into your standard equation.

y = 3/4x - 5

This is your equation. It has a slope of 3/4, and passes through (4, -2)

Hope this helps!

5 0
3 years ago
What is the height of a cylinder with a volume of 1,899.7 cubic inches and a radius of 11 inches?
FrozenT [24]


Not 100% sure. 

Height = 37.81inches


8 0
4 years ago
Read 2 more answers
The following table shows a proportional relationship between mmm and nnn.
Marina CMI [18]

Answer:

70707mmm = 111nnn

Step-by-step explanation:

Using the basic equation of a line:

y = mx + c;. where m is slope and c is intercept on y axis.

Let mmm = y and nnn = x

(i) 333 = 212121m + c

(ii) 555 = 353535m + c

Making c the subject of the formula in both (i) and (ii)

c = 333 - 212121m = 555 - 353535m

353535m -212121m = 555 - 333

141414m = 222

m = 111/70707

Substitute in (i) above

c = 333 -333 = 0

Hence; y = 111/70707x + c

Finally, mmm = 111/70707 nnn

i.e. 70707mmm = 111nnn

Hope this helps.

5 0
3 years ago
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A metal manufacturing company reduces the length of a 12.5-inch cylindrical rod, after which the rod measures 7.8 inches. How ma
gizmo_the_mogwai [7]

Answer:

4.7 inches

Step-by-step explanation:

The original is 12.5, and it was shortened to 7.8. So take the original, subtract the result, and you will get the answer.

12.5-7.8=4.7

7 0
3 years ago
Read 2 more answers
Instructions:Type the correct answer in the box.
alexira [117]
180 miles? seems like the question is incomplete
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3 years ago
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