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
Nataliya [291]
3 years ago
13

Find the slope of the line passing through the points (8,-3) and (4,-1)

Mathematics
2 answers:
docker41 [41]3 years ago
7 0

\rm \to m =  \dfrac{y_2 - y_1}{x_2 - x_1}

\\  \\

\rm \to m =  \dfrac{ - 1 - 3}{4 - 8}

\\  \\

\rm \to m =  \dfrac{ - 4}{4 - 8}

\\  \\

\rm \to m =  \dfrac{ - 4}{ - 4}

\\  \\

\rm \to m = \cancel  \dfrac{ - 4}{ - 4}

\\  \\

\rm \to m = 1

ElenaW [278]3 years ago
5 0

Answer:

-1/2

Step-by-step explanation:

m = -1 + 3 / 4 - 8

m = 2 / -4

m = -1/2

You might be interested in
PLEASEEEE If z=-1-sqrt3i and z^6 = a+bi, then a=___ and b=___.
siniylev [52]

Answer:

a = 94

b = -66√3

Step-by-step explanation:

Given  z = -1-i\sqrt{3}

z^{6}=(z^{3})^{2}

(-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2

                   =[-(1+i\sqrt{3})^3]^{2}

                   =[(1+i\sqrt{3})^3]^2

                   =[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2 [(a + b)³ = a³ + b³ + 3a²b + 3ab²]

                   = [1 + 3i² + 3i√3 + 9i²]²

                   = [1 - 3 + 3i√3 - 9]²

                   = [-11 + 3i√3]²

                   = (11)² -2(3i√3)(11) + (3i√3)²

                   = 121 - 66i√3 + 27i²

                   = 121 - 66i√3 - 27

                   = (94 - 66i√3)

Comparing it with (a + bi),

a = 94 and  b = -66√3

7 0
3 years ago
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 135 of a gallon of gas to go 1 mile
timama [110]

2.86 gallons

Step-by-step explanation:

If 1/35 gallon of gas = 1 mile

To travel 100 miles,

1/35 * 100

= 0.0286 * 100

= 2.86 gallons

Therefore, the car needs 2.86 gallons of gas to travel 100 miles

6 0
3 years ago
Read 2 more answers
2) Peter wants to buy a duplex with a purchase price of $227,000. Peter can afford a 10% down payment. Peter earns $2,249 a mont
Bumek [7]
22700 down payment 225.9$ mortgage
7 0
3 years ago
Could someone help me solve this
faltersainse [42]

Answer:

x = 8.3.

Step-by-step explanation:

According to solve for the length of x, we need to use SOH CAH TOA.

This means...

Sine: Opposite over Hypotenuse

Cosine: Adjacent over Hypotenuse

Tangent: Opposite over Adjacent

In this case, we are given the angle, the hypotenuse, and we need to solve for the adjacent. This means that we will use cosine, since we have the adjacent and the hypotenuse.

cosine(41) = x / 11

x = (cosine(41)) * 11

x = 0.7547095802 * 11

x = 8.301805382

The question asks us to round to the nearest <em>tenth</em>.

So, your final answer is that x = 8.3.

Hope this helps!

7 0
4 years ago
Read 2 more answers
Find the perimeter of a semicircular region with a radius of 15 in
Len [333]

Answer:

diameter of semicircle? ---> 30cm

perimeter- pi*r ----> 3.14159265 x 15 ---->47.12 cm

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The GCF of two numbers in J &amp; K is 8. What is the GCF of 2j and 2k?
    7·2 answers
  • Use substitution: y = x + 1 2y = 3x Use elimination: 2x + 3y = 20
    15·1 answer
  • Which points are the vertices of the ellipse?
    14·2 answers
  • Give an equality that represents the phrase the sum 1 and y is greater than or equal to 9.
    12·1 answer
  • Does 30,40 ,and 45 form a right triangle
    12·1 answer
  • The annual interest rate of Marta's savings account is 7.2% in a simple interest is calculated quarterly. What is the periodic i
    9·1 answer
  • Find x.<br> 24x - 19<br> 16x + 13
    12·1 answer
  • Find the solution set of the inequality
    9·1 answer
  • In a class of 23 students, 6 are female and 12 have an A in the class. There are 4
    11·2 answers
  • The number 9 is a common factor of _________.<br> A) 6 and 9<br> B) 9 and 36<br> C) 16 and 27
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!