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
Temka [501]
3 years ago
12

What is the equation of the line that passes through (4,1) and (-2, 3)

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer: y = x + 5

Step-by-step explanation:First, we need to determine the slope of the line. The slope can be found by using the formula: m=y2−y1x2−x1

Where m is the slope and (x1,y1) and (x2,y2) are the two points on the line.

Substituting the values from the points in the problem gives:

m=1−3−4−−2=1−3−4+2=−2−2=1

Now, we can use the point-slope formula to find an equation for the line. The point-slope formula states: (y−y1)=m(x−x1)

Where m is the slope and (x1y1) is a point the line passes through.

Substituting the slope we calculated and the values from the first point in the problem gives:

(y−3)=1(x−−2)

(y−3)=1(x+2)

We can now solve for y to put the equation in slope-intercept form:

y−3=x+2

y−3+3=x+2+3

y=x+5

You might be interested in
8. An Isosceles triangle HIJ has sides HI and HJ as 19 meters each. If angle I and angle J are 67 degrees, what is the distance
PtichkaEL [24]

Answer:

IJ=14.8

Step-by-step explanation:

In a triangle the sum of all angle measures is always 180 degrees

A+B+C=180

2(67)+C=180

C=46 degrees

By splitting the isosceles triangle down the middle we can calculate the base

So ∠H = 23°, ∠K = 90°, ∠J = 67°, HJ = 19

With this we can solve for half of the base. the trig function will need to use is sin, since the side opposite of ∠H will be part of the base. sin=\frac{opposite}{hypotenuse}

now we need to rearrange the formula for what we have.

hypotenuse(sin)=opposite

19sin(23)=7.423

This value is only half of the base, so we need to double it

IJ=2(7.423)=14.8

8 0
3 years ago
Five million bacteria live in an organism. The doubling period is 1.5 hours. How many will there be after:
finlep [7]
We write the generic exponential equation:
 y = A (b) ^ t
 Where,
 A: initial population
 B: growth rate
 t: time in hours.
 Substituting values we have:
 y = 5 (2) ^ ((1 / 1.5) * t)
 For t = 9 hours we have:
 y = 5 (2) ^ ((1 / 1.5) * 9)
 y = 320 million
 For t = 24 hours (one day) we have:
 y = 5 (2) ^ ((1 / 1.5) * 24)
 y = 327680 million
 For t = 2 hours we have:
 y = 5 (2) ^ ((1 / 1.5) * 2)
 y = 12.5992105 million
 Answer:
 
a) t hours?
 
y = 5 (2) ^ ((1 / 1.5) * t)
 
b) 9 hours?
 
y = 320 million
 
c) 1 day?
 
y = 327680 million
 
d) 2 hours?
 
y = 12.5992105 million
8 0
3 years ago
Find the length of the third side. If necessary, write in simplest radical form.
lord [1]

Answer:

\sqrt{13}

Step-by-step explanation:

let the 3rd side, the hypotenuse, be x

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 2² + 3² = 4 + 9 = 13 ( take square root of both sides )

x = \sqrt{13}

8 0
2 years ago
Read 2 more answers
Jamie has8/10 of a candy bar left over. He wants to split it into 1/3 pieces. How many 1/3 pieces can he make?
gtnhenbr [62]
You would have 24 1/3 pieces.
5 0
3 years ago
Read 2 more answers
Hey please help me with this
motikmotik

Answer:

Two real solutions

Step-by-step explanation:

z=-1.45

z=0.45

6 0
3 years ago
Read 2 more answers
Other questions:
  • .
    13·1 answer
  • A paint store sells exterior paint for $28.25 a gallon and paint rollers for $6.25 each. Write an equation in standard form for
    6·1 answer
  • Solve the equation 52-10-45​
    14·2 answers
  • WILL GIVE BRAINLIEST!!
    5·2 answers
  • Solve the equation c/4-5=4<br> 21 points
    5·2 answers
  • Direction: Solve the given problems.
    15·1 answer
  • Guided Practice
    15·1 answer
  • PLEASE HELP
    15·1 answer
  • Two different formulas of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road oct
    10·1 answer
  • Graph the polynomial function,<br> f(x) = – x3 + 2x2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!