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3 years ago

What is the x intercept of the line defined by 2x-3y=12

Mathematics

2 answers:

Nadya [2.5K]3 years ago

8 0

x-intercept for y = 0.

Put y = 0 to the equation os a linear function:

2x - 3(0) = 12

2x = 12 <em>divide both sides by 6</em>

x = 6

<h3>Answer: x-intercept = 6 → (6, 0)</h3>

I am Lyosha [343]3 years ago

7 0

Answer:

x- intercept = 6 or (6, 0 )

Step-by-step explanation:

to find the x-intercept, that is where the graph crosses the x-axis, let y = 0 in the equation and solve for x

y = 0 : 2x - 0 = 12 ⇒ 2x = 12 ⇒ x = 6 ← x- intercept

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The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge

Nadya [2.5K]

The missing coordinate r is 11.

Solution:

Given points are (–15, 1) and (–7, r).

$x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7$

Slope (m) = $\frac{5}{4}$

<u>To find the missing coordinate r:</u>

Slope formula:

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

Substitute the given values in the formula.

$$\frac{5}{4}=\frac{r-1}{-7-(-15)}$

$$\frac{5}{4}=\frac{r-1}{-7+15}$

$$\frac{5}{4}=\frac{r-1}{8}$

Do cross multiplication.

$8 \times 5=4(r-1)$

40 = 4r – 4

Add 4 on both side of the equation.

44 = 4r

Divide by 4 on both side of the equation.

11 = r

⇒ r = 11

Hence the missing coordinate r is 11.

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4 years ago

I need help please. I need the the discount and selling price. Thank you

salantis [7]

Answer:

<h2><u>15.12 is the discount</u></h2><h2><u>68.88 is the sell price</u></h2>

Step-by-step explanation:

When you are taking off percentages from numbers, you first want to make the percent a number. This step is super simple. Just divide the 18 by 100

This gets you 0.18

Now multiply

84 * 0.18 = 15.12

So 15.12 is the discount

Then take 84 and subtract 15.12

84 - 15.12 = 68.88

So 68.88 is the sell price

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3 years ago