Which table represents a funcion

ABCD is rectangle on a coordinate grid with side AB parallel to side CD. Side BC is perpendicular to AB. The slip of AB is 3/4.

dybincka [34]

The slope of BC is $\frac{-4}{3}$

Step-by-step explanation:

Let us revise some notes about slopes of lines

If two lines are parallel, then their slopes are equal
If to lines are perpendicular, then the product of their slopes is -1, that means if the slope of one is m, then the slope of the other is $\frac{-1}{m}$

∵ ABCD is a rectangle

∵ AB // CD

∴ The slope of AB = the slope of CD

∵ BC ⊥ AB

∴ The slope of BC × the slope of AB = -1

∵ The slope of AB = $\frac{3}{4}$

- To find the slope of BC reciprocal the slope of AB and reverse its sign

∴ The slope of BC = $\frac{-4}{3}$

The slope of BC is $\frac{-4}{3}$

Learn more:

You can learn more about the slope in brainly.com/question/9801816

#LearnwithBrainly

6 0

3 years ago

A random sample of 77 fields of corn has a mean yield of 26.226.2 bushels per acre and standard deviation of 2.322.32 bushels pe

PSYCHO15rus [73]

Answer:

Therefore the 95% confidence interval is (25,707.480 < E < 26,744.920)

Step-by-step explanation:

n = 77

mean u = 26,226.2 bushels per acre

standard deviation s = 2,322.32

let E = true mean

let A = test statistic

Find 95% Confidence Interval

so

let A = (u - E) * ( $\sqrt{n}$ / s) be the test statistic

we want P( average_l < A < average_u ) = 95%

look for lower 2.5% and the upper 97.5% Because I think this is a 2-tail test

average_l = -1.96 which corresponds to the 2.5%

average_u = 1.96

P( -1.96 < A < 1.96) = 95%

P( -1.96 < (u - E) * ( $\sqrt{n}$ / s) < 1.96) = 95%

Solve for the true mean E ok

E < u + 1.96* (s / $\sqrt{n}$ )

from -1.96 < (u - E) * ( $\sqrt{n}$ / s)

E < 26,226.2 + 1.96*( 2,322.32 / $\sqrt{77}$ )

E < 26,226.2 + 518.7197348105429466

upper bound is 26,744.9197

or

u - 1.96* (s / $\sqrt{n}$ ) < E

26,226.2 - 518.7197348105429466 < E

25,707.48026519 < E

lower bound is 25,707.48026519

Therefore the 95% confidence interval is (25,707.480 < E < 26,744.920)

7 0

3 years ago

Which person is automatically entitled to United States citizenship?

Feliz [49]

Answer: C, a woman whose father was a United States citizen

Step-by-step explanation: Your siblings do not affect your citizenship, so A is incorrect.

As for B, you need to go through a ton of legal stuff to become a citizen if you are born in a different country. D is incorrect because it legit makes zero sense. If you're from a country the US dislikes, it'll be even harder to become a citizen

5 0

3 years ago

Simplify 3(x+2)-5x 1. 6-2x 2. 8x+2 3.-2x+2 4.2x+6

gulaghasi [49]

Answer:

-2x + 6

Step-by-step explanation:

Step 1: Write expression

3(x + 2) - 5x

Step 2: Distribute

3x + 6 - 5x

Step 3: Combine like terms

-2x + 6

7 0

2 years ago

Read 2 more answers

Jejxjdndnndndbdbdnsnbdbdb

amm1812

I have no clue ...I'm nt so good in maths

3 0

2 years ago