Ask question

Ask question

All categories

3 years ago

13

Please help! find the equation (in terms of x) of the line through the point (-4,3) and (3,-2)

2 answers:

Mars2501 [29]3 years ago

6 0

Answer: y= -5/7 x + 1/7

Step-by-step explanation:

vova2212 [387]3 years ago

5 0

Answer:

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

Step-by-step explanation:

Equation of a line: $y = mx+b$

m is the slope, and b is the y-intercept.

m = $\frac{rise}{run} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-2-3}{3-(-4)} =-\frac{5}{7}$

Now, we have $y=-\frac{5}{7} x+b$

We can insert one set of points in to solve for b.

We will use the first point (-4, 3):

$3=-\frac{5}{7} (-4)+b$

$\frac{5}{7}* \:4+b=3$

$\frac{20}{7}+b=3$

$b=\frac{1}{7}$ .

Equation: $y=-\frac{5}{7} x+\frac{1}{7}$

You might be interested in

How is repeating decimals used in the real world? Plz help I don't know it

guapka [62]

Just say in the store hahaha bfebfefbevfwvtvt2vt2vt3v3t3bt3btt3tbt2b

5 0

2 years ago

Find 4+ (-1 2/3). Write your answer in simplest form.

kramer

Answer:

The answer is -5 1/3

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the respondents, % chose

Alex73 [517]

Complete Question

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12 % chose chocolate pie, and the margin of error was given as plus or minus 5 percentage points.What values do $\r p , \ \r q$ , n, E, and p represent? If the confidence level is 90%, what is the value of $\alpha$ ?

Answer:

a

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$E$ is the margin of error is $E = 0.05$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e $\r q = 1- \r p$

b

$\alpha = 10\%$

Step-by-step explanation:

Here

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e

$\r q = 1- \r p$

$\r q = 1- 0.12$

$\r q = 0.88$

$E$ is the margin of error is $E = 0.05$

Generally $\alpha$ is the level of significance and it value is mathematically evaluated as

$\alpha = ( 100 - C )\%$

Where $C$ is the confidence level which is given in this question as $C = 90 \%$

So

$\alpha = ( 100 - 90 )\%$

$\alpha = 10\%$

5 0

3 years ago

Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and

vova2212 [387]

Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

$l = length$

$w = width$

$h = height$

Amount of sand used is the volume (V1) and it is calculated using;

$V_1 = l * w * h$

$V_1 = lw h$

Since the pyramid has the same base area and height as the prism, the its dimension would be:

$l = length$

$w = width$

$h = height$

Amount of sand used is the volume (V2) and it is calculated using;

$V_2 = \frac{1}{3}*(lwh)$

So, we have:

$V_1 = lw h$

$V_2 = \frac{1}{3}*(lwh)$

Substitute lwh for V1 in the second equation

$V_2 = \frac{1}{3}V_1$

Multiply both sides by 3

$3 * V_2 = \frac{1}{3}V_1 * 3$

$3 * V_2 = V_1$

Reorder

$V_1 = 3 * V_2$

$V_1 = 3 V_2$

<em>Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid</em>

3 0

2 years ago

SOMEONE HELP I SUCK AT THIS MATH!

77julia77 [94]

Answer:

0.24

Step-by-step explanation:

2.88/12=0.24

4 0

2 years ago