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vitfil [10]
3 years ago
6

What is the answer to this 3x−y=7 −4x+6y=0 ​

Mathematics
1 answer:
pantera1 [17]3 years ago
5 0

Answer:

-7, -0

Step-by-step explanation:

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Write an equation of the line that passes through the points (1,-4) and (2,-1).
Anastaziya [24]

Answer:

  y = 3x -7

Step-by-step explanation:

The 2-point form of the equation of a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-1 -(-4))/(2 -1)(x -1) -4

  y = 3(x -1) -4

  y = 3x -7

8 0
3 years ago
The line y =3x-5 meet x-axis at the point M.
dusya [7]

y = 3x - 5 meets the x-axis at the x-intercept, and that happens when y = 0


\bf \stackrel{y}{0}=3x-5\implies 5=3x\implies \cfrac{5}{3}=x~\hspace{5em}\stackrel{M}{\left( \frac{5}{3},0 \right)}


3y + 2x = 2, meets the y-axis when x = 0, and that'd be the y-intercept


\bf 3y+2(\stackrel{x}{0})=2\implies 3y=2\implies y=\cfrac{2}{3}~\hspace{5em}\stackrel{N}{\left( 0,\frac{2}{3} \right)}


so let's find the equation of the line with points M and N in standard form, bearing in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient


\bf M(\stackrel{x_1}{\frac{5}{3}}~,~\stackrel{y_1}{0})\qquad N(\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{2}{3}}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{~~\frac{2}{3}-0~~}{0-\frac{5}{3}}\implies \cfrac{2}{3}\cdot -\cfrac{3}{5}\implies -\cfrac{2}{5}


\bf \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-0=-\cfrac{2}{5}\left( x-\cfrac{5}{3} \right)\implies y=-\cfrac{2}{5}x+\cfrac{2}{3} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15y=-6x+10}\implies \stackrel{\textit{standard form}}{6x+15y=10}\implies 6x+15y-10=0

3 0
3 years ago
I GIVEEEEEEEEEE BRAINLISTT
MariettaO [177]

Answer:

D: 50% on car payment and college savings

Step-by-step explanation:

225+375 = 600

50% of 1200 is 600

3 0
3 years ago
If f(x) = 1/3x^2 + 5, find f(-9).<br> A. 248<br> B. -22<br> C. 11<br> D. 32
melamori03 [73]

Answer:

D. 32

Step-by-step explanation:

For this problem, we simply plug -9 in for x in f(x):

f(x)=\frac{1}{3} x^2+5  ⇒  f(9)=\frac{1}{3} *(9^2)+5=\frac{1}{3} *81+5=27+5=32

Thus, the answer is D. 32.

Hope this helps!

7 0
4 years ago
Read 2 more answers
The diagram shows corresponding lengths in two similar figures. Find the ratio of the areas of the two figures.
astra-53 [7]
Your answer should be D. 49.81
5 0
3 years ago
Read 2 more answers
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