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
Akimi4 [234]
3 years ago
11

A(7-1), B(6, 4) and C(5, 5) are three

Mathematics
1 answer:
Andrej [43]3 years ago
4 0

Answer:

The answer is below

Step-by-step explanation:

The equation of the line passing through two points is given by:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\

The equation of line AB is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-1)=\frac{4-(-1)}{6-7}(x-7)\\\\y+1=-5(x-7)\\y+1=-5x+35\\y=-5x+34

The midpoint of two lines is given as:

x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}\\midpoint\ of\ AB \ is:\\x=\frac{7+6}{2}=6.5, y=\frac{-1+4}{2}=1.5\\ = (6.5,1.5)

The equation of line AC is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-1)=\frac{5-(-1)}{5-7}(x-7)\\\\y+1=-3(x-7)\\y+1=-3x+21\\y=-3x+20

The midpoint of two lines is given as:

x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}\\midpoint\ of\ AB \ is:\\x=\frac{7+5}{2}=6, y=\frac{-1+5}{2}=2\\ = (6,2)

The product of the slope of a perpendicular bisector of a line and the slope of the line is -1. That is m1m2 = -1

The slope of the perpendicular bisector of AB is:

m(-5)=-1

m=1/5

The equation of the perpendicular bisector of AB passing through (6.5,1.5) is:

y-y_1=m(x-x_1)\\y-1.5=\frac{1}{5}(x-6.5)\\y=\frac{1}{5} x-8.25

The slope of the perpendicular bisector of AB is:

m(-3)=-1

m=1/3

The equation of the perpendicular bisector of AB passing through (6,2) is:

y-y_1=m(x-x_1)\\y-2=\frac{1}{3}(x-7)\\y=\frac{1}{3} x-4.33

2) The point of intersection is gotten by solving y = 1/5 x -8.25 and y = 1/3 x-4.33 simultaneously.

Subtracting the two equations from each other gives:

0= -0.133x - 3.92

-0.133x = 3.92

x = -29.5

Put x = -29.5 in y = 1/5 x -8.25 i.e:

y = 1/5 (29.5) -8.25

y = -14.16

The point of intersection is (-29.5, -14.16)

You might be interested in
PLEASE PLEASE HELP ITS MY FINAL GRADE PLEASE PLEASE
Sati [7]

Answer:

See below

Step-by-step explanation:

Given there are 56 M&M's:

  • Expected Value of Blue = 56(0.24) = 13.44
  • Expected Value of Brown = 56(0.14) = 7.84
  • Expected Value of Green = 56(0.16) = 8.96
  • Expected Value of Orange = 56(0.20) = 11.20
  • Expected Value of Red = 56(0.13) = 7.28
  • Expected Value of Yellow = 56(0.14) = 7.84

Remember to use np to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.

6 0
2 years ago
The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 ho
Elenna [48]

Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where m is the rate of change or slope and b is the y-intercept

  • Let 'y' be the temperature
  • Let 'x' be the time of the temperature in the hour

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

y = mx+b

y = -3x + 10

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

5 0
3 years ago
WILL CROWN BRAINLIEST, THANKS, AND RATING!!!
Goryan [66]
A quadratic has a squared term...causing the shape of a parabola, a U shape because both positive and negative x's squared end up being the same number. real world situation a quadratic could be used to track the height of a launched object.  An exponential has the variable in the exponent, causing the y to grow or decay increasingly quickly or increasing slowly real world example: banks use interest, over months or years.Each time the interest is applied, it is applied to a new and bigger total
 
7 0
3 years ago
Please help me!! Thanks!
nikdorinn [45]

Answer: $30 and 1 cent more

$60.50 - $30.50 = $30

0.12 - 0.11 = 0.01

I hope this helps.

5 0
3 years ago
$1.75 times 50<br><br> $1.75 times 20
Montano1993 [528]

1. 87.5 you have to multiply

2. Its 35 because you have to multiply

8 0
3 years ago
Read 2 more answers
Other questions:
  • Write an equation of the line passing through each of the following pairs of points. a (−10, 4), (2, −5)
    10·1 answer
  • Mr. James is 4 times as old as his daughter. The difference in their ages is 36 years. Find their ages.
    11·1 answer
  • A new freezer costs $500 plus $0.20 a day to operate. An old freezer cots $20 plus $0.50 a day to operate. After how many days i
    5·1 answer
  • The sales tax on a digital camera is $7.15. What is the sales tax rate?
    10·1 answer
  • What is the measure of DEF?
    12·1 answer
  • A rectangle is placed around a semicircle as shown below. The length of the rectangle is 4ft. Find the area if shaded region. us
    15·1 answer
  • . Find the sum of the following polynomials.
    9·1 answer
  • Please assist with this. No links or your account will be banned. Will give brainliest, show steps!!!!!
    12·2 answers
  • What is the answer to 4-(-6)+(-4)+3x0
    14·2 answers
  • GEOMETRY The formula F+ V= E + 2 shows the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!