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
Luda [366]
3 years ago
10

The formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of the line and (x, y) and

(x1, y1) are points of the line. Solve the equation for m, and find the slope of a line that includes the points (4, -2) and (5, 0).
Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0

Answer:

The slope of a line that includes the points (4, -2) and (5, 0) is 2

Step-by-step explanation:

You know that the formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of a line.

The line must include the points (4, -2) and (5, 0). So, being:

  • (x,y)= (4,-2)
  • (x1,y1)= (5, 0)

and replacing in the point-slope form of the equation of a line:

-2-0=m(4-5)

You solve the equation for m and get:

-2=m*(-1)

m=\frac{-2}{-1}

m=2

<u><em>The slope of a line that includes the points (4, -2) and (5, 0) is 2</em></u>

You might be interested in
A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest
nlexa [21]

Answer:

$13,200

Step-by-step explanation:

You need to use the simple interest formula

I = P * r * t

I = Interest accrued

P = Principal amount invested

r = Interest rate          you need to divide by 100 to get it in decimal form

t = time, in years        if you are given a partial year, divide the months by 12

P = $12,000                                    

r = 7.5% = .075                                    

t = 1                                                  

But, because we want I to equal $990 then I is

I = $990

So we ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075        Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.

6 0
3 years ago
») What is the volume of a ball with adiameter of 6 centimeters? Use 3.14for (pie)How is the volume of a sphere related tothe vo
Dahasolnce [82]
Volume of a sphere and a cone

We have that the equation of the volume of a sphere is given by:

V=\frac{4}{3}\pi r^3

We have that the radius of a sphere is half the diameter of it:

Then, the radius of this sphere is

r = 6cm/2 = 3cm

<h2>Finding the volume of a sphere</h2>

We replace r by 3 in the equation:

\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot3^3 \end{gathered}

Since 3³ = 3 · 3 · 3 = 27

\begin{gathered} V=\frac{4}{3}\pi3^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot27 \end{gathered}

If we use π = 3.14:

\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=\frac{4}{3}\cdot3.14\cdot27 \\ \downarrow \\ V=4.18\bar{6}\cdot27 \end{gathered}

Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:

4.18666... ≅ 4.19

Then, we have that:

\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=4.19\cdot27 \\ =113.13 \end{gathered}

Then, we have that:

<h2>Finding the volume of a cone</h2>

We have that the volume of a cone is given by:

V=\frac{1}{3}\pi r^2h

where r is the radius of its base and h is the height:

Then, in this case

r = 3

h = 6

and

π = 3.14

Replacing in the equation for the volume:

\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \end{gathered}

Then, we have:

3² = 9

\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot9\cdot6 \\ V=\frac{1}{3}\cdot3.14\cdot54 \\ V=56.52 \\  \end{gathered}

Answer: the volume of the cone that has the same circular base and height is 56.52 cm³

5 0
10 months ago
Please Help Me worth 20 points
rodikova [14]

Answer:

1.Amy should ask every 10th person leaving the school at the end of the day and Amy should ask the 50 students in her computer lab.

2.Yes,the sample is unbiased and equal to everyone.

3.200

Step-by-step explanation:

8 0
3 years ago
How does the multiplicity of a zero affect the graph of the polynomial function?
enot [183]

Answer:

The multiplicity of a root affects the shape of graph of a polynomial. If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the root. If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis

Step-by-step explanation:

Tbh I don't know the answer I just hope this helps

7 0
2 years ago
Read the excerpt from “Raymond's Run.” But now, if anybody has anything to say to Raymond, anything to say about his big head, t
dsp73

Answer:

D.  She uses Squeaky’s thoughts and words to tell readers about her character.

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is a ratio please????????
    7·2 answers
  • Really stuck here!! Which of the following equations has no real solutions?
    11·1 answer
  • Landon is saving up to buy a new jacket. He already has $70 and can save an additional $7 per week using money from his after sc
    10·1 answer
  • 1. Find the sum of the series . 15 show your work
    5·2 answers
  • An educator wants to see how the number of absences for a student in her class affects the student’s final grade. The data obtai
    7·1 answer
  • Rewrite x - 3y = 6 in slope-intercept form.
    12·2 answers
  • Help,please, thank you!
    8·2 answers
  • Simplify the expression using the Distributive Property.<br><br> ½(10x + 20y)
    15·2 answers
  • AJLK ~ APQR. Find the value of x.<br> P<br> 45<br> 36<br> 15<br> 39<br> K<br> 13<br> x=
    14·1 answer
  • Help help help heeeelllpppp
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!