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2 years ago

15

Find an order pair (x, y) that is a solution to the equation -x+6y=3

1 answer:

Lelu [443]2 years ago

3 0

One solution is the y intercept (0,1/2)

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The area is 28.27cm²

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Evaluate the expression: 103

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3 years ago

Which ordered pairs are in a proportional relationship with (0.2, 0.3)?

MAXImum [283]

Answer:

C and E

Step-by-step explanation:

We are given that

$x_1=0.2,y_1=0.3$

$\frac{y}{x}=\frac{0.3}{0.2}=\frac{3}{2}$

$k=\frac{y}{x}=\frac{3}{2}$

A. $x_2=1.2,y_2=2.3$

$\frac{y_2}{x_2}=\frac{2.3}{1.2}=\frac{23}{12}\neq=\frac{3}{2}$

Hence, it is not in proportional relationship with (0.2,0.3)

B.(2.7,4.3)

$x_3=2.7,y_3=4.3$

$\frac{y_3}{x_3}=\frac{4.3}{2.7}=\frac{43}{27}\neq\frac{3}{2}$

Hence, it is not in proportional relationship with (0.2,0.3).

C.(3.2,4.8)

$x_4=3.2,y_4=4.8$

$\frac{y_4}{x_4}=\frac{4.8}{3.2}=\frac{3}{2}$

Hence, the ordered pair (3.2,4.8) are in a proportional relationship with (0.2,0.3).

D.(3.5,5.3)

$\frac{y_5}{x_5}=\frac{5.3}{3.5}=\frac{53}{35}\neq \frac{3}{2}$

Hence, the ordered pair (3.5,5.3) are not in a proportional relationship with (0.2,0.3).

E.(5.2,7.8)

$\frac{y_6}{x_6}=\frac{7.8}{5.2}=\frac{3}{2}$

Hence, the ordered pair (5.2,7.8) are in a proportional relationship with (0.2,0.3).

4 0

3 years ago

Write the equation of the line fully simplified slope-intercept form.

zmey [24]

Answer:5y=x-35

Step-by-step explanation:

The given line passes through the points $(0,-7)$ , $(10,-5)$ .

Let the slope of the line be $m$ .

If a line passes through $(x_{1},y_{1})$ and $(x_{2},y_{2})$ ,then

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

So, $m=\frac{-7-(-5)}{0-10}=\frac{1}{5}$

Y-intercept of a line is defined as the y-coordinate of the point where the line touches y axis.

Let the y intercept be $b$

From the graph, $b=-7$

The equation of the line with slope $m$ and y-intercept $b$ is $y=mx+b$

So, $y=\frac{1}{5}x-7$

$5y=x-35$

5 0

3 years ago