All categories

3 years ago

Which ordered pair is generated from the equation shown below? y = 3x + 2 A. (3, 11) B. (3, 9) C. (5, 15) D. (2, 4)

Mathematics

1 answer:

borishaifa [10]3 years ago

8 0

Answer:

y = 3x + 2

There slope is 3 and intercept is 2.

<u>First find what are the 2 pair that given by slope =3</u>

First consider A. (3, 11) and B. (3, 9)

Tan α = \fraction(11-9)(3-3)

It is undefine.

Next consider A. (3, 11) and BC (5,15)

Tan α = \fraction(15-11)(5-3)

Next consider A. (3, 11) and D. (2,4)

Tan α = \fraction(11-4)(3-2)

Next consider B (3, 9) and C. (5,15)

Tan α = \fraction(15-9)(5-3)

So this is ordered pair is generated from slope =3

Step-by-step explanation:

You might be interested in

A line with a slope of 3 passes through (2,5). Which choice is an equation of this line? Please help

jek_recluse [69]

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

$y-y_1=m(x-x_1)$

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

$y-5=3(x-2)$

Our answer is the top right :)

3 0

3 years ago

Read 2 more answers

The Bermuda Triangle is roughly defined by Hamilton, Bermuda; San Juan, Puerto Rico; and Fort Lauderdale, Florida. The distances

zloy xaker [14]

Answer:

442554 square miles

Step-by-step explanation:

The area of a triangle is given by :

0.5*A*B*Sin(∅) where A and B are two sides and ∅ is the angle between them.

We will find ∅ by applying cosine rule:

c^2 = a^2 + b^2 − 2ab cos(∅)

Where ∅ is angle between sides a and b.

In this example:

a=1028, b=1046, c= 965

Plugging in the values, we get ∅=55.4°

Applying the formula for Area:

0.5*A*B*Sin(∅)

0.5*1028*1046*Sin(55.4)= 442554 square miles

8 0

3 years ago

A multinational firm wants to estimate the average number of hours in a month that theiremployees spend on social media while on

elena55 [62]

Answer:

95% of the population spent between 16.8 hours to 26.2 hours on social media per month

Step-by-step explanation:

subtracting 1 from sample size: 83-1= 82
Note Mean=21.5 and standard deviation=2.5
Subtracting confidence interval from 1 and dividing by 2: (1-0.95)/2=0.025
At α=0.025 and dF=82, the t-distribution table gives 1.984
Divide standard deviation by square root of sample size: 21.5/√83= 2.36
Multiplying answer in step 4 by answer in step 5: 2.36×1.984= 4.68
For lower end: 21.5-4.68= 16.82
for upper end: 21.5+4.68=26.18

7 0

3 years ago

Read 2 more answers

Samantha visits for local farmers market to buy apples and oranges to make a fruit salad. she has $10 to spend. Apples are $.26.

GrogVix [38]

She can buy 38 apples.

10/0.26 = 38.5 but you can’t buy half an apple so you round down to 38.

Hope this helped!

5 0

3 years ago

Read 2 more answers

#4 need help with this one

4vir4ik [10]

Answer:

x = 25.6

Step-by-step explanation:

As we can see, this is a right triangle, so there are known relationships

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 43

a: adjacent = x

o: opposite

h: hypotenuse = 35

sin α = o/h

cos α = a/h

tan α = o/a

we see that it has (angle, adjacent, hypotenuse)

cos α = a/h

cos 43° = x / 35

cos 43° * 35 = x

25.59 = x

if we want to round to the nearest tenth

x = 25.59 = 25.6

4 0

3 years ago

Read 2 more answers