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densk [106]
3 years ago
5

A line passes through the point(4,-1) and (2,3). What is the slope of the line

Mathematics
1 answer:
sasho [114]3 years ago
7 0
Slope is found using the equation (y2-y1)/(x2-x1)
So we can plug the numbers into the equation

(-1)-3/ 4-2
(-1)-3= -4
4-2=2 

The equation is now -4/2
-4/2= -2

So the slope of the line is -2

Which can also be written as y=-2x
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What is the length of side BC of the triangle? Enter your answer in the box. units Triangle A B C with horizontal side B C. Vert
harina [27]

Answer:

The length of BC = 28 units

Step-by-step explanation:

* In triangle ABC

∵ Angles B and C are congruent

∴ m∠B = m∠C

* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length

∴ AB = AC

∵ AB = 4x - 7

∵ AC = 2x + 7

∴ 4x - 7 = 2x + 7 ⇒ collect like terms

∴ 4x - 2x = 7 + 7

∴ 2x = 14 ⇒ divide both sides by 2

∴ x = 14 ÷ 2 = 7

* Now we can find the length of BC

∵ The length of BC = 4x ⇒ substitute the value of x

∴ The length of BC = 4 × 7 = 28 units

6 0
3 years ago
What are the domain and range of f(x)= (1/5)x
anyanavicka [17]

Answer:

domain and range is -∞,+∞

Step-by-step explanation:

6 0
3 years ago
One day, 148 copies of the student
Romashka-Z-Leto [24]

Answer:

312 copies

Step-by-step explanation:

100 + 100 = 200

40 + 60 = 100

8 + 4 = 12

200 + 100 + 12 = 312 copies

6 0
3 years ago
Read 2 more answers
Which of the following situations could be modeled by an exponential function?
Sauron [17]

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

in year 2 they collected A + $5000

in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

in year X they colected A + (X - 1)*$5000

C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

3 0
2 years ago
Find two consecutive even integers such that twice the smaller is 16 more than the larger.
qwelly [4]

Answer: smaller: 18 ; larger: 20

Step-by-step explanation:

Let n be the smaller integer. Then the larger integer is n+2. So:

2n=n+2+16

n=18

The smaller integer is 18; the larger one is 20.

6 0
3 years ago
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