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3 years ago

5/10 = /6 is 5/10 and 3/6 equivalent fraction. if so, please explain

1 answer:

8 0

$\frac{5}{10}= \frac{1\cdot5}{2\cdot5} = \frac{1}{2} \ \ \ and\ \ \ \frac{3}{6}= \frac{1\cdot3}{2\cdot3} = \frac{1}{2} \ \ \ \ \Rightarrow\ \ \ \frac{5}{10}=\frac{3}{6}$

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Graph the line with a slope of 2/5 that goes through (3,1)

Triss [41]

Answer:

$y = \dfrac{2x}{5} - \dfrac{1}{5}$

Step-by-step explanation:

Given:

$\bullet \ \ \text{Slope of line:}\ \dfrac{2}{5} \\\\ \bullet \ \text{Passes through:} \ (3, 1)$

To determine the equation of the line, we will use point slope form.

<u>Formula of point slope form:</u>

→ y - y₁ = m(x - x₁)

Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.

Substitute the coordinates and the slope:

$:\implies y - 1 = \dfrac{2}{5} (x - 3)$

Simplify the R.H.S:

$:\implies y - 1 = \dfrac{2x}{5} - \dfrac{6}{5}$

Add 1 both sides:

$:\implies y - 1 + 1 = \dfrac{2x}{5} - \dfrac{6}{5} + 1$

Simplify the equation:

$:\implies y = \dfrac{2x}{5} - \dfrac{6}{5} + \dfrac{5}{5}$

$:\implies \boxed{y = \dfrac{2x}{5} - \dfrac{1}{5}}$

<u>Graphing the line on a coordinate plane:</u>

In this case, we are already given a point (3, 1). We can simply plot the y-intercept $[\bold{\frac{-1}{5} }]$ on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.

Graph attached**

5 0

3 years ago

Read 2 more answers

16. If mZ3 = 74°, find each measure.

seraphim [82]

1 - 74

2- 106

3- 74

4- 106

5- 106

6- 74

7- 106

8- 74

8 0

3 years ago

I need to simplify sec^2(x)/sec^2(x)-1

frutty [35]

$\dfrac{\sec^2x}{\sec^2x-1}=\dfrac{\sec^2x}{\tan^2x}=\dfrac{\frac1{\cos^2x}}{\frac{\sin^2x}{\cos^2x}}=\dfrac1{\sin^2x}=\csc^2x$

5 0

3 years ago

(6x2−2x+16)+(4x2+7x−55)

AysviL [449]

(6 • 2 - 2x + 16) + (4 • 2 + 7x - 55)
(-2x + 16 + 6 • 2) + (7x - 55 + 4 • 2)
(-2x + 16 + 12) + (7x - 55 + 8)
-2x + 28 + 7x - 47
-2x + 7x + 28 - 47
5x + (-19)
5x - 19
So the answer is 5x - 19.

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3 years ago

Identify the initial value and rate of change for the graph shown. (4 points)

spin [16.1K]

Answer:

Step-by-step explanation:

8 0

3 years ago