1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Amanda [17]
2 years ago
9

identify an equation in point slope form for the line parallel to y=-2/8x+8 that passes through (4,-5)

Mathematics
1 answer:
lawyer [7]2 years ago
5 0

Step-by-step explanation:

the point-slope form is

y - y1 = m(x - x1)

where (x1, y1) is a point on the line.

m is the slope of the line, which is always (in any form) the factor of x.

the parallel line has -2/8 as factor of x, which is therefore also the slope of our new line (after all, it has to be parallel, so it must have the same slope).

so, we have

y + 5 = -2/8 × (x - 4)

which can be simplified, of course, to

y + 5 = -1/4 × (x - 4)

You might be interested in
What is the volume of this composite solid <br><br>​
Rufina [12.5K]
There is no picture attached.
explanation:
7 0
3 years ago
Read 2 more answers
An article in Fire Technology investigated two different foam-expanding agents that can be used in the nozzles of firefighting s
UNO [17]

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to test if two different foam-expanding agents have the same foam expansion capacity

Sample 1 (aqueous film forming foam)

n₁= 5

X[bar]₁= 4.7

S₁= 0.6

Sample 2 (alcohol-type concentrates )

n₂= 5

X[bar]₂= 6.8

S₂= 0.8

Both variables have a normal distribution and σ₁²= σ₂²= σ²= ?

The statistic to use to make the estimation and the hypothesis test is the t-statistic for independent samples.:

t= \frac{(X[bar]_1 - X[bar]_2) - (mu_1 - mu_2)}{Sa*\sqrt{\frac{1}{n_1} + \frac{1}{n_2 } } }

a) 95% CI

(X[bar]_1 - X[bar]_2) ± t_{n_1 + n_2 - 2}*Sa* \sqrt{\frac{1}{n_1}+\frac{1}{n_2} }

Sa²= \frac{(n_1-1)S_1^2 + (n_2-1)S_2^2}{n_1 + n_2 - 2}= \frac{(5-1)0.36 + (5-1)0.64}{5 + 5 - 2}= 0.5

Sa= 0.707ç

t_{n_1 + n_2 -2: 1 - \alpha /2} = t_{8; 0.975} = 2.306

(4.7-6.9) ± 2.306* (0.707\sqrt{\frac{1}{5}+\frac{1}{5} })

[-4.78; 0.38]

With a 95% confidence level you expect that the interval [-4.78; 0.38] will contain the population mean of the expansion capacity of both agents.

b.

The hypothesis is:

H₀: μ₁ - μ₂= 0

H₁: μ₁ - μ₂≠ 0

α: 0.05

The interval contains the cero, so the decision is to reject the null hypothesis.

<u>Complete question</u>

a. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.

b. Based on the confidence interval, is there evidence to support the claim that there is no difference in mean foam expansion of these two agents?

8 0
3 years ago
A realtor is decorating some homes for sale, putting a certain number of decorative pillows on each twin bed and a certain numbe
VikaD [51]

The number of decorative pillows did the realtor arrange on each twin bed and queen bed is 6 and 9 respectively.

<h3>Simultaneous equation</h3>

let

  • Number of decorative pillows for twin bed = x
  • Number of decorative pillows for queen bed = y

x + y = 15

2x + y = 21

From equation (1)

x = 15 - y

  • Substitute x = 15 - y into (2)

2x + y = 21

2(15 - y) + y = 21

30 - 2y + y = 21

- 2y + y = 21 - 30

-y = -9

y = 9

Substitute y = 9 into

x + y = 15

x + 9 = 15

x = 15 - 9

x = 6

Learn more about simultaneous equation:

brainly.com/question/16863577

#SPJ1

7 0
1 year ago
A line has a slope of 1 and passes through the point (16,0) what is its equation in slope intercept form
Orlov [11]

Answer: GO TO MY ACCOUNT AND AWNSER MY QUESTION TEN I'LL AWNSER YOURS

Step-by-step explanation:

3 0
3 years ago
Three vertices of parallelogram ABCD
hammer [34]

Answer:

(0, -8)

Step-by-step explanation:

The distance must be equal from C to A and points B to D.

6 0
3 years ago
Other questions:
  • A shirt is marked down 20% off the original price. If the original price was $24.00, what is the sale price of the shirt before
    13·2 answers
  • The sum of two nonnegative numbers is 100. What is the maximum value of the product of these two numbers?
    8·1 answer
  • Someone please help me with this question
    14·2 answers
  • -22 - 7 answer the following integers! Show your work
    5·1 answer
  • Rita and Bernie both play the same online game. In today's play, Rita earns 6 points 3 times and loses 4 points twice.
    11·1 answer
  • On a given day, the coldest surface temperature on the Moon, $-280$°F, is $53.6$°F colder than twice the coldest surface tempera
    14·2 answers
  • Select the correct answer.
    13·1 answer
  • What is the equation of the line?
    9·1 answer
  • Given the points A(3, 4) and B (6, 10), find the
    7·1 answer
  • Point T is located at (3, -5) on the coordinate plane. Point T is reflected over the x-
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!