Answer:
(4,0)
Step-by-step explanation:
4x+2y=16
-4y+x=4
Multiply the first equation by 2
2(4x+2y)=16*2
8x +4y = 32
Add the 2nd equation
8x +4y = 32
x -4y =4
--------------------
9x =36
Divide each side by 9
9x/9 = 36/9
x=4
Now solve for y
-4y +x =4
-4y +4 = 4
Subtract 4 from each side
-4y +4-4=4-4
-4y =0
Divide by -4
-4y/-4 =0/-4
y=0
(4,0)
Answer:
P = length + width x 2
P = 3.5ft + 5.5ft x 2
P = 9ft x 2
P = 18ft + 1.5ft (the new mural)
P = 19.5ft
Therefore the perimeter of Rosalie's new mural is 19.5ft
∠QPS is part of the right angle, and it takes 90 - 21 degrees of it.
90 - 21 = 69°
Now take 69 and add 22, the rest of ∠QPS.
69 + 22 = 91
∠QPS is 91°, which is larger than a right angle, 90°, so that means it is an obtuse angle.
Answer: You might need to be more descriptive, there's a lot of numbers that could be added together to equal -8.
-4 + -4 = -8.
-6 + -2 = -8.
etc.
AB = CD = √8 ≈ 2.8 units
BC = AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = 3.92 units²
Perimeter of the rectangle ABCD = 8.4 units
<h3>How to Find the Area and Perimeter of a Rectangle?</h3>
Given the coordinates of vertices of rectangle ABCD as:
- A(0,2)
- B(2,4)
- C(3,3)
- D(1,1)
To find the area and perimeter, use the distance formula to find the distance between A and B, and B and C.
Using the distance formula, we have the following:
AB = √[(2−0)² + (4−2)²]
AB = √[(2)² + (2)²]
AB = √8 ≈ 2.8 units
CD = √8 ≈ 2.8 units
BC = √[(2−3)² + (4−3)²]
BC = √[(−1)² + (1)²]
BC = √2 ≈ 1.4 units
AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = (AB)(BC) = (2.8)(1.4) = 3.92 units²
Perimeter of the rectangle ABCD = 2(AB + BC) = 2(2.8 + 1.4) = 8.4 units
Learn more about the area and perimeter of rectangle on:
brainly.com/question/24571594
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