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Lelechka [254]
3 years ago
5

If the fraction 294/x is equivalent to -14 , find the value of x

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0

Answer:

x = -21

Step-by-step explanation:

Given:

294/x = -14  (multiply both sides by x)

294 = -14x (divide both sides by -14)

x = 294 / (-14)

x = -21

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Work out m and c for the line: 3 y + 6 x = − 3
Usimov [2.4K]

Answer:

<u>m</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u> </u><u>and</u><u> </u><u>c</u><u> </u><u>is</u><u> </u><u>-</u><u>1</u>

Step-by-step explanation:

• Let's first phrase out the general equation of a line

{ \rm{y = mx + c}}

  • m is the slope
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[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

{ \rm{3y + 6x =  - 3}}

• let's make y the subject in order to make the equation in slope - intercept format.

→ <em>r</em><em>e</em><em>m</em><em>e</em><em>m</em><em>b</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>a</em><em>p</em><em>p</em><em>l</em><em>y</em><em> </em><em>"</em><em>s</em><em>u</em><em>b</em><em>j</em><em>e</em><em>c</em><em>t</em><em> </em><em>m</em><em>a</em><em>k</em><em>i</em><em>n</em><em>g</em><em> </em><em>k</em><em>n</em><em>o</em><em>w</em><em>l</em><em>e</em><em>d</em><em>g</em><em>e</em><em>"</em>

{ \rm{3y =  - 3 - 6x}} \\  \\ { \rm{3y =  - 6x - 3}} \\  \\ { \rm{ \frac{3y}{3}  =  \frac{ - 6x}{3}  -  \frac{3}{3} }} \\  \\  { \boxed{ \rm{y =  - 2x - 1}}}

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

{ \rm{m \:  \dashrightarrow \:  - 2}} \\  \\ { \rm{c \:  \dashrightarrow \:  - 1}}

8 0
3 years ago
Let a=x^2+4. Use a to find the solutions for the following equation:
Helga [31]
(x^2+4)^2 + 32 = 12x^2 + 48 .... a = x^2 + 4 
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<span>a^2 + 32 = 12a </span>
<span>a^2 - 12a + 32 = 0 </span>
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<span>a = 8 and a = 4 </span>

<span>for a = 8 ... 8 = x^2 + 4 ... x^2 = 4 ... x = +/- 2 </span>
<span>for a = 4 ... 4 = x^2 + 4 ... x^2 = 0 ... x = 0 </span>

<span>x = -2, 0, +2 so your answer is going to be e

</span>
4 0
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Because EP//HR

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8 0
2 years ago
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Step-by-step explanation:

If you want to find the 5th term of a sequence or any term you have to substitute n for the desired term in your case the result is the following

a_{n}=2n\\a_{5}=2(5)\\a_{5}=10

7 0
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