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
lina2011 [118]
3 years ago
7

What is an equation of a line that passes through the points (-4,8) and (2,-1)?

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
3 0

Answer:

y = 3/2x + 20

Step-by-step explanation:

Use point-slope form. (long to explain, it is correct though).

You might be interested in
Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)
Kamila [148]
63.87 degrees I think I half guessed
7 0
3 years ago
Read 2 more answers
What is the vertex of x^2 -10x + 21
Radda [10]

Answer:

(5, - 4)

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

x² - 10x + 21 ← is in standard form

with a = 1, b = - 10, so

x_{vertex} = - \frac{-10}{2} = 5

Substitute x = 5 into the quadratic for the corresponding value of y

y = 5² - 10(5) + 21 = 25 - 50 + 21 = - 4

vertex = (5, - 4)

5 0
3 years ago
Aimee is shipping a care package to her friend in college, and she has a piece of cardboard with which to create a box. The dime
kow [346]

Answer:

x = 10 - 10sqrt(3)/3

Approximately 4.2265 cm

Volume = 1539.6 cm³

Step-by-step explanation:

Let the height be x

V = (20 - 2x)(40 - 2x)x

V = (800 - 80x - 40x + 4x²)x

V = 4x³ - 120x² + 800x

dV/dx= 12x² - 240x + 800 = 0

3x² - 60x + 200 = 0

x = [60 +/- sqrt(60² - 4(3)(200))]/6

x = [30 +/- 10sqrt(3)]/3

x = 10 +/- 10sqrt(3)/3

Approximately,

15.7735 and 4.2265

d²V/dx² = 24x - 240

For max, d²V/dx² < 0

So, x = 4.2265

V = (20 - 2x)(40 - 2x)x

Plug in x = 10 - 10sqrt(3)/3

V = 1539.600718

8 0
3 years ago
The mean of the sample is 24.444 squares with a standard deviation of 2.45 squares. Single-ply toilet paper requires 26 squares
Romashka [77]

Answer:

t = -2.69 , p = 0.0078

Step-by-step explanation:

We have the following data:

Sample Mean = x = 24.444

Sample Standard Deviation = s = 2.45

Sample size = n = 18

Josh wants to test that mean number is lesser than 26. So our test value is 26 i.e.

u = 26

Since Josh wants to test that mean would be fewer than 26, so this would be a left tailed test with a less than sign in Alternate Hypothesis. Therefore, the hypothesis would be:

H_{o}: u\geq 26\\H_{a}: u

Since, we do not know the value of Population standard deviation, and we have the value of sample standard deviation, we will use One-Sample t-test for the population mean.

The formula to calculate the test-statistic would be:

t=\frac{x-u}{\frac{s}{\sqrt{n}}}

Substituting the values in this formula gives us:

t=\frac{24.444-26}{\frac{2.45}{\sqrt{18}}}\\t=-2.69

This means, the test statistic would be -2.69

Since, the sample size is 18, the degrees of freedom would be:

Degrees of freedom = df = n - 1 = 17

To find the p-value we need to check the p-value against test statistic of 2.69, with 17 degrees of freedom and One-tailed test. This value comes out to be:

p-value = 0.0078

Therefore, the correct answer would be:

t = -2.69 , p = 0.0078

4 0
2 years ago
The cost for a ticket to a play changes based on where
igor_vitrenko [27]

Answer:

$300

Step-by-step explanation:

Front row: $225

Front row = 3 * balcony

225 = 3 * balcony

balcony = $225/3 = $75

One balcony ticket costs $75.

4 balcony seats = 4 * $75 = $300

Answer: $300

7 0
2 years ago
Other questions:
  • Which of the following is equal to (the sqrt of) √-12 ?
    6·1 answer
  • 20). Tasha is planning an expansion of a square flower garden in a city park. If each side of the original is increased by 7m, t
    8·1 answer
  • Which would most likely be graphed using a continuous graph? Check all that apply. (Medal for correct answer.
    12·1 answer
  • I need help with this and don't know the answer to this problem.
    10·1 answer
  • Determine whether quantities vary directly or inversely and find the constant of variation.
    13·1 answer
  • How many time does 14 go into 33<br> sorry i was sleeping-----
    11·2 answers
  • I NEED HELP FAST ILL GIVE BRAINLIEST IF CORRECT!
    10·1 answer
  • Can some one help me please
    12·1 answer
  • Does anyone know how to do this ?
    10·1 answer
  • Already answered.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!