A line with a slope of -1 passes through the point (2,-1). If (-4, p) is another point on the line,

1 answer:

7 0

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{p}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{p}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{2}}}~~= ~~\stackrel{\stackrel{m}{\downarrow }}{-1}\implies \cfrac{p+1}{-6}=-1\implies p+1=6\implies p=5$

You might be interested in

a decorative pillow is in the shape of a parallelogram. it's base is 28 centimeters, and it's height is 24.5 centimeters. what i

erica [24]

24.5•28=686 centimeters

7 0

3 years ago

What is the x value when F(x)=12?

SashulF [63]

Answer:

Step-by-step explanation:

need more information in order to answer this.

4 0

2 years ago

2. Describe how to use the conjugate to divide 2 − i by 3 + 2i, and then find the quotient.

DaniilM [7]

Answer:

$\frac{4}{13}-\frac{7}{13}i$

Step-by-step explanation:

$\frac{2-i}{3+2i}$

Multiply and divide by the conjugate.

The conjugate is the denominator with the sign of the complex number the opposite of the denominator.

$\frac{2-i}{3+2i}\frac{3-2i}{3-2i}\\ =\frac{2\times (3-2i)-i\times (3-2i)}{3^2-(2i)^2}\\ =\frac{6-4i-3i+2i^2}{9+4}\\ =\frac{4-7i}{13}\\ =\frac{4}{13}-\frac{7}{13}i$

Quotient = $\frac{4}{13}-\frac{7}{13}i$

7 0

3 years ago

A quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line. The pencils ha

amm1812

Answer:

The P-value you would use to test the claim that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm is 0.00736.

Step-by-step explanation:

We are given that a quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line.

The pencils have a mean length of 17.9 cm. Given that the population standard deviation is 0.25 cm.

Let $\mu$ = population mean length of pencils produced in that factory.

So, Null Hypothesis, $H_0$ : $\mu$ = 18.0 cm {means that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 18.0 cm {means that the population mean of pencils produced in that factory have a mean length different from 18.0 cm}