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erma4kov [3.2K]
3 years ago
15

Find the equation of the line containing the point (3, 12) and having slope: 4

Mathematics
1 answer:
Paul [167]3 years ago
4 0
The answer is to this question is Y= 4x
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Which ordered pair is the solution to the system of equations?
d1i1m1o1n [39]
\begin{cases}-3x+4y=-20\\y=x-4\end{cases}\\\\\\-3x+4(x-4)=-20\\\\-3x+4x-16=-20\\\\x-16=-20\quad|+16\\\\x-16+16=-20+16\\\\\boxed{x=-4}\\\\\\y=x-4\\\\y=-4-4\\\\\boxed{y=-8}

Answer C.
4 0
2 years ago
A survey of 7th graders at Sandy Middle School found that 152 students were enrolled in Art classes and 44 of those students are
sammy [17]

Answer:

354

Step-by-step explanation:

44+310=354. ejeihrbebeh

5 0
2 years ago
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from t
romanna [79]

The distance between the two schools on the map is (C) 4.2 inches.

<h3>What is the distance?</h3>
  • Distance is a numerical measurement of the distance between two objects or places.
  • The distance can refer to a physical length or an estimate based on other criteria in physics or common usage.
  • The distance between two points A and B is commonly expressed as |AB|.

To find the distance:

On the map,2 inches represents 5 miles.

Thus, we can write:

  • 2 miles = 2 inches
  • 1 mile = 2/5 inches ..... (1)

Since the actual distance between the two schools is 10.6 miles.

Multiplying both sides by 10.6 in equation (1).

  • 10.6 miles = 10.6 × 2/5 = 21.2/5 = 4.24 inches.

Therefore, the distance between the two schools on the map is (C) 4.2 inches.

Know more about distance here:

brainly.com/question/17273444

#SPJ4

The complete question is given below:
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch?

(A) 0.2 inch

(B) 0.9 inch

(C) 4.2 inches

(D) 26.5 inches

3 0
8 months ago
F(x)=X over x^3-2x^2+5x why will this have no zeros​
Mumz [18]

If you evaluate directly this function at x=0, you'll see that you have a zero denominator.

Nevertheless, the only way for a fraction to equal zero is to have a zero numerator, i.e.

\dfrac{x}{x^3-2x^2+5x}=0\iff x=0

So, this function can't have zeroes, because the only point that would annihilate the numerator would annihilate the denominator as well.

Moreover, we have

\displaystyle \lim_{x\to 0} \dfrac{x}{x^3-2x^2+5x} = \lim_{x\to 0} \dfrac{x}{x(x^2-2x+5)} = \lim_{x\to 0} \dfrac{1}{x^2-2x+5} = \dfrac{1}{5}

So, we can't even extend with continuity this function in such a way that f(0)=0

5 0
3 years ago
What is the slope-intercept equation of the line that includes (0,7) and (3,10)?
maksim [4K]

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-7}{3-0}\implies \cfrac{3}{3}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=1(x-0)\implies y-7=x\implies y=x+7

5 0
3 years ago
Read 2 more answers
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