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umka21 [38]
3 years ago
6

Determine the intercepts of the line. y-6= 4( + 5) y-intercept: z-intercept

Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0

Answer:

  1. (0, 26)
  2. (-6.5, 0)

Step-by-step explanation:

Turn the equation into slope-intercept form [ y = mx + b ].

y - 6 = 4(x + 5)

y - 6 = 4x + 20

y = 4x + 26

We know that b = y-intercept for the y-intercept is 26.

Substitute 0 for y to find the x intercept.

0 = 4x + 26

-26 = 4x

-6.5 = x

Best of Luck!

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yaroslaw [1]

The expression \frac{m^{2}-16\cdot n^{2}}{\frac{3\cdot m + 12\cdot n}{m\cdot n} } is equal to \frac{m^{2}\cdot n}{3} -\frac{4\cdot m\cdot n^{2}}{3}.

<h3>How to simplify a composite algebraic expression</h3>

In this question we must use properties of <em>real</em> algebra to simplify a given expression as most as possible. We proceed to show each step with respective reason.

  1. \frac{m^{2}-16\cdot n^{2}}{\frac{3\cdot m + 12\cdot n}{m\cdot n} }  Given
  2. \frac{m\cdot n \cdot (m^{2}-16\cdot n^{2})}{3\cdot m + 12\cdot n}   \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{c\cdot b}
  3. \frac{m\cdot n \cdot (m-4\cdot n)\cdot (m+4\cdot n)}{3\cdot (m+4\cdot n)} Distributive property/a^{2}-b^{2} = (a +b)\cdot (a-b)
  4. \frac{m\cdot n \cdot (m-4\cdot n)}{3} Existence of the multiplicative inverse/Modulative property
  5. \frac{m^{2}\cdot n}{3} -\frac{4\cdot m\cdot n^{2}}{3} Distributive property/x^a\cdot x^{b} = x^{a+b}/Result

To learn more on algebraic expressions, we kindly invite to check this verified question: brainly.com/question/953809

7 0
2 years ago
I can't get to get this right can you please help me​
monitta

Answer:

(-7,4]\text{ or }\{x|-7

Step-by-step explanation:

The domain is the span of x-values covered by the function.

From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.

However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.

Therefore, the domain is, in interval notation:

(-7,4]

We use parentheses on the left because we do not include -7. And we use brackets on the right because we <em>do </em>include the 4.

And in set notation, this is:

\{x|-7

7 0
2 years ago
Read 2 more answers
What is the value of X?<br> Help please!
anastassius [24]

Answer:

(11√3)/3

Step-by-step explanation:

In order to solve for the variable, you will need to use a trig function. In this case, you will need to use the trig function tangent.

Tan = opposite/adjacent

⇒ Tan 30° = x/11

⇒ 11 · Tan 30° = x

⇒ (11√3)/3 = x

4 0
2 years ago
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