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Grace [21]
1 year ago
7

using the coordinate plane shown below 1/3 point is plotted five units to the right of -4, for where should a four point be plan

ted in order to create a rectangle
Mathematics
1 answer:
Mrac [35]1 year ago
8 0

we know that

the fourth point is plotted 5 units to the right of (-4,4)

so

the coordinate x of the fourth point is equal to

-4+5=1

the y-coordinate of the fourth point is the same y coordinate of (-4,4)

therefore

the coordinates of the fourth point is (1,4)

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Someone Please Help Me. I don't understand how to do this.
Tamiku [17]
[1] The median to the base passes through the top point (0,b) and the bottom point (0,0) since it is going straight down. The slope formula is
\frac{y_2-y_1}{x_2-x_1}
So, the slope of the median is (b-0)/(0-0) = b/0. Technically, this is undefined, but let's leave it this way for now.

[2] The base passes through the left point (-a,0) and the right point (a,0). Its slope must be (0-0)/(a-(-a)) = 0.

[3] We now check if the slopes are negative reciprocals. Flipping b/0 over and putting a negative sign gives:
b/0 -> - 0/b = 0
So the slopes are negative reciprocals, which means the lines are perpendicular.
8 0
3 years ago
Mm<br> E<br> 9. Solve: 3(x+4) ≤36<br> x&gt; 8<br> x≤8<br> x≤12<br> X&gt;12
vampirchik [111]

Step-by-step explanation:

3(x+4) ≤ 36

3x + 12 ≤ 36

3x ≤ 24

x ≤ 8

4 0
2 years ago
Read 2 more answers
Line CD passes through points C(3, -5) And D(6, 0). What is the equation of line CD in standard form?
Fynjy0 [20]
Y = mx + b
m = (0 - -5)/(6 - 3) = 5/3
y = 5/3x + b
0 = 5/3(6) + b
b = -10
(y = 5/3x - 10)3
3y = 5x - 30
3y - 5x = -30
5x - 3y = 30
8 0
3 years ago
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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

  • 8a₈ = 12a₁₂
  • d = -2,
  • a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

  • a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
  • a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

  • 8(a₁ - 14) = 12(a₁ - 22)
  • 2(a₁ - 14) = 3(a₁ - 22)
  • 2a₁ - 28 = 3a₁ - 66
  • 3a₁ - 2a₁ = -28 + 66
  • a₁ = 38
6 0
3 years ago
Use the information to answer the question.
Alona [7]

Answer:

13x^8 + 4x^5 - 16x^2 try this

Step-by-step explanation:

8 0
3 years ago
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