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Cloud [144]
3 years ago
12

Shawna reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12

inches tall. (im working on proportions)​
Mathematics
1 answer:
AfilCa [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Original Ratio              =                  New Ratio        All these problems are done the same way. Try to conquer the language.

The original ratio = 24 inches wide / 12 inches tall

Shawna's new ratio = you don't know / 2 inches in height (or tall)

Call what you don't know = x

24/12 = x / 2                        Cross multiply

12 * x = 24 * 2                     Combine the right

12 * x = 48                           Divide by 12

12x/12 = 48/12

x = 4

So the new height is 4 inches.  

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Write a polynomial of least degree with rational coefficients and with the root -19-5 square root 2.
iogann1982 [59]

Answer:

y = x² + 38x + 311

Step-by-step explanation:

If a polynomial has rational coefficients and irrational roots, then the roots must be conjugate pairs.

y = (x − (-19-5√2)) (x − (-19+5√2))

y = (x + 19+5√2) (x + 19−5√2)

Use FOIL to distribute:

y = x² + x (19−5√2) + x (19+5√2) + (19+5√2)(19−5√2)

y = x² + 19x − 5√2 x + 19x + 5√2 x + (19+5√2)(19−5√2)

y = x² + 38x + (19+5√2)(19−5√2)

Use FOIL to distribute the last term:

y = x² + 38x + 19² − 95√2 + 95√2 − 50

y = x² + 38x + 361 − 50

y = x² + 38x + 311

5 0
3 years ago
Given the Standard Form equation y - 6x = 4
malfutka [58]

Answer: <u>6 is the slope and 4 is the y-intercept.</u>

Step-by-step explanation:

Based on the question, I feel this is the best way to answer your question.  I'm assuming you are in a basic graphing class.

The best, most useful thing for you right now would be to learn slope-intercept form, y = mx + b, where m and b are constants.

Simply add 6x to both sides to get into this form

y = 6x + 4.

In slope-intercept form, m is the slope, and b is the y-intercept.  Thus, 6 is the slope and 4 is the y-intercept.

Hope it helps and lmk if you need more <3 :)

7 0
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Answer:

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6 0
3 years ago
a first number is 6 more than a second number. the first number multiplied by 2 is 8 more than the second number. what are the t
Andreas93 [3]

Answer:

-2 (negative 2)

Step-by-step explanation:

8÷2 =4

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hope this helps

4 0
2 years ago
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