All categories

3 years ago

What is the slope of the line segment? a 1/4 b -1/4 c 4 d 4

Mathematics

1 answer:

galina1969 [7]3 years ago

7 0

to get the slope of any line, we can simply use two points off of it, for this one, say (3,12) and (4,16)

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-12}{4-3}\implies \cfrac{4}{1}\implies 4$

You might be interested in

What is the value of x in the equation below? 5(4x-10) + 10x = 4(2x-3) + 2(x-4)

Marina86 [1]

Answer:

5/2 i think but i am not sure sorry if its wrong

Step-by-step explanation:

5 0

3 years ago

What is the equation of the ellipse with foci at (5, 0), (-5, 0) and vertices (9, 0), (-9, 0)?

forsale [732]

Answer: $\dfrac{x^2}{81}+\dfrac{y^2}{56}=1$

Step-by-step explanation:

General equation of ellipse : $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}$

Given: Vertices of ellipse : (± 9,0)

Since the vertices are of the form (± a, 0).

i.e. a=9

Thus, the major axis is along x-axis.

Also, foci of the ellipse = (±5,0)

Since, foci is of the form (± c,0), i.e. c=5

Since

$c^2=a^2-b^2\\\\\Rightarrow\ 5^2= 9^2-b^2\\\\\Rightarrow\ b^2=81-25\\\\\Rightarrow\ b^2=56$

Equation of ellipse :

$\dfrac{x^2}{9^2}+\dfrac{y^2}{56}=1\\\\\Rightarrow\ \dfrac{x^2}{81}+\dfrac{y^2}{56}=1$

Hence, the required equation : $\dfrac{x^2}{81}+\dfrac{y^2}{56}=1$

8 0

4 years ago

The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with . Round the ans

wariber [46]

Answer:

a)e^-(λ20891)

b)1-e^-(λ30598)

c)1-e^-(λ30598)-e^-(λ20891)

Step-by-step explanation:

The probability density function (pdf) of an exponential distribution is

f(x,λ)=λe^-(λx) for x>0, and 0 for x<0

The cumulative distribution function is given by

F(x,λ)=1-e^-(λx) for x>0, and 0 for x<0

P(X≥20891)=1-P(X≤20891)=1-F(20891,λ)=e^-(λ20891)

P(X≤30598)=F(30598,λ)=1-e^-(λ30598)

P(20891≤X≤30598)=F(30598,λ)-(20891,λ)=1-e^-(λ30598)-e^-(λ20891)

5 0

3 years ago

a book store cost $80 a day to keep open, and it spends $15 for each book that it sells. if each book sells for $23, what is the

aalyn [17]

The break even point for this book store is 10

Solution:

Given that, book store cost $80 a day to keep open, and it spends $15 for each book that it sells

Cost to open the book store = $ 80

The formula for solving the break even point (BEP) is:

$BEP = \frac{\text{Fixed cost}}{\text{Selling price - variable cost}}$

Fixed Cost is the cost that remains constant whether the services provided or products sold increases or decreases

Variable Cost is the cost that varies or differs in proportion to the products or services produced, whether they increased or decreased

In this problem,

Fixed cost = $ 80

Selling price = $ 23

Variable cost = $ 15

Therefore,

$BEP = \frac{80}{23-15}\\\\BEP = \frac{80}{8}\\\\BEP = 10$

Thus break even point for this book store is 10

In order for the bookstore to continue its business, it should sell at least 10 books to meet its $80 cost

6 0

4 years ago

Read 2 more answers

What is the solution to the equation? a + (–0.4) = –3 a =

kodGreya [7K]

If:
a + (-0.4) = -3
a = -3 - (-0.4) = -3 + 0.4 = -2.6

7 0

4 years ago