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
mr Goodwill [35]
2 years ago
11

Line DE contains the points D (–1, –4) and E (3, 3). Line FG contains the point F (–3, 3). Which set of coordinates for point G

makes the two lines perpendicular?
Mathematics
1 answer:
Bond [772]2 years ago
8 0

Answer:

The set of coordinates for point G that make the two lines perpendicular are given through the relation

7y = -4x + 9

Step-by-step explanation:

The condition for perpendicularly of two lines is that the products of the slope of the two lines, m₁ and m₂ must be equal to -1.

For a line whose two points (x₁, y₁) and (x₂, y₂)

on the line are known, the slope of the line, m, is given as

m = (Δy/Δx) = (y₁ - y₂) ÷ (x₁ - x₂)

points D (–1, –4) and E (3, 3).

Let the slope of DE be m₁ and the slope of FG be m₂

Since the two lines are perpendicular,

m₁m₂ = -1

m₁ = (Δy/Δx) = (-4 - 3) ÷ (-1 -3) = (7/4) = 1.75

Since, m₁m₂ = -1, this means that,

m₂ = (-1/m₁) = (-1/1.75) = -(4/7)

Let the coordinates of point G be (x, y)

m₂ = (3 - y) ÷ (-3 - x)

(-4/7) = [(3-y)/(-3-x)]

-4(-3-x) = 7(3-y)

12 + 4x = 21 - 7y

7y = -4x + 9

Hope this Helps!!!

You might be interested in
A club orders 124 T-shirts at a cost of $18.00 each. Would the better estimate for the cost of the T-shirts be $1,000 or $2,000?
castortr0y [4]

Answer:

$2,000

Step-by-step explanation:

Since the actual answer is greater than 2,000, the estimation would be 2,000

4 0
3 years ago
Read 2 more answers
Help asap! Please! A 40 cm tomato plant cast a 25cm shadow. How tall is the corn stalk if it's shadow is 280cm long?
Angelina_Jolie [31]

Answer:

448

Step-by-step explanation:

This is  a proportion question. Keep the heights on one side of the proportion and the shadow length on the other.

height ratio  shadow ratio

40 cm / x = 25 / 280             Cross multiply

25x = 40 * 280                      Combine

25x = 11200                            Divide by 25

x = 11200/25

x = 448 cm

The height of the corn plant is 448 cm

4 0
2 years ago
A freight carrier charges $0.80 for the first ounce plus an additional $0.25 for every ounce (or part of an ounce) over the firs
Jobisdone [24]

Answer:

$1.80

Step-by-step explanation:

5 ounces

1st ounce = .80¢ plus 25¢ for every other ounce. You have 4 ounces left. 25¢ times 4. = $1.00

$1.00

+0.80

_____

$1.80

3 0
3 years ago
Multiply (x +8)(x - 2) <br>i need awnsers asap ​
frozen [14]

Answer:

x^{2}+6x-16

Step-by-step explanation:

(x+8)(x+−2)

=(x)(x)+(x)(−2)+(8)(x)+(8)(−2)

=x^2−2x+8x−16

=x^2+6x−16

4 0
2 years ago
The sum of 4 consecutive integers is 198. What is the fourth number in this sequence.
Georgia [21]
Let x, x+1,x+2, x +3 are the <span>numbers
so
</span>x + x +1 + x +2 +x +3 = 198
4x + 6 = 198
4x =198-6
4x = 192
 x = 192/4
 x = 48
 x + 1 = 48 + 1 = 49
 x + 2 = 48 + 2 = 50
 x + 3 = 48 + 3 = 51

proof
48 + 49 + 50 + 51 = 198

so the numbers are 48, 49, 50, 51

fourth number in this sequence is 51
7 0
3 years ago
Other questions:
  • What function's domain consists of all real numbers greater than 3
    12·1 answer
  • When graphing an ordered pair, what is the second number and what does it tell you to do?
    6·1 answer
  • Correct answer gets THANKS and Brainliest Answer! Please help me!
    15·1 answer
  • #20 please help me solve this
    7·1 answer
  • A medium pizza costs $8.60. Darcy has $54 to spend on pizzas. How many medium pizzas can she afford?
    12·1 answer
  • PLEASE ANSWER I WILL GIVE BRAINIEST!!!!!!!!!!!!!!!
    9·2 answers
  • How do I graph this?
    7·1 answer
  • Pls it’s really importa I need help !!
    9·1 answer
  • Point giveaway. Answer something random and you will get 17 points.
    10·2 answers
  • Which expressions are equivalent to 1/2+3c+4/5
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!