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
zaharov [31]
3 years ago
5

The​ slope, m, of the line through the distinct points ​(x 1​,y 1​) and ​(x 2​,y 2​) is given by the formula m ​=

Mathematics
1 answer:
NemiM [27]3 years ago
5 0

Answer:

slope is defined by the difference of "y's" divided by the difference in the "x's"

slope = (y2 - y1) / (x2 - x1)

Step-by-step explanation:

You might be interested in
The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe
nirvana33 [79]
Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 

A graph of the solution verifies that the solution is correct.

6 0
3 years ago
Read 2 more answers
WLL GIVE BRAINLIST PLEASE help... i sincerely don't even know where to begin here. ​
Harman [31]

Answer:

y = 5

Step-by-step explanation:

WY is the perpendicular bisector of XZ and so divides ΔWXZ into 2 congruent triangles ΔWXY and ΔWZY

Hence WZ = WX ← corresponding sides, thus

5y - 8 = 2y + 7 ( subtract 2y from both sides )

3y - 8 = 7 ( add 8 to both sides )

3y = 15 ( divide both sides by 3 )

y = 5

4 0
3 years ago
Read 2 more answers
What are the domain and range of the logarithmic function f(x) = log7x? Use the inverse function to justify your answers.
S_A_V [24]

Answer:


Step-by-step explanation:

Since log is defined by all positive real  numbers

therefore domain is all  positive real number that is ( 0,∞)

Range is given by real numbers

inverse of the given function is  (10^x)/7

Whose domain is all real numbers and range is all positive real number

And since we know that domain of function and range of its inverse

& range of a function and domain of its inverse is same

which we are getting in the problem

so  answer is justified

6 0
3 years ago
Read 2 more answers
Solve for all possible values of x. Show all work.<br> X + 2<br> 2x - 1<br> 3x
pogonyaev

Answer:

a) x+2=0

x= -2

b) 2x-1=0

2x=1

x= 1/2

c) 3x=0

x= 0/3

x=0

6 0
3 years ago
17. There are 25 squares in the pattern.
GrogVix [38]
A) 14/25
b) 4/25
c) 2/25
6 0
2 years ago
Other questions:
  • The ratio of the sides of two similar octagons is 2:5. What is the ratio of the perimeters of these octagons?
    8·1 answer
  • Mrs Prabhakar open a recurring deposit account of rupees 300 per month at 8% simple interest per annum on maturity he gets rupee
    15·1 answer
  • Explain how connecting digits to the right of the decimal point helps you multiply decimals.
    9·1 answer
  • Find x in the triangles
    9·1 answer
  • best rentals charges a daily fee plus a mileage fee for renting its cars. barney was charged $159 for 3 days and 300 miles, whil
    8·1 answer
  • What is the slope intercept form of the equation of the line 5x-6y=36
    12·1 answer
  • Write the rule for the translation shown below.
    6·1 answer
  • For the equation 3(7 + 2) = 3x + k, what value of k will create an equation with infinitely many solutions?
    7·2 answers
  • About 7% of the population has a particular genetic mutation. 800 people are randomly selected. Find the standard deviation for
    8·1 answer
  • Find the profit-maximizing price.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!