Answer:
Answer: x= -6 and y= -7
Step-by-step explanation:
Substitute 2x+5 for y in y=3x+11:
y=3x+11
2x+5=3x+11
2x+5+−3x=3x+11+−3x(Add -3x to both sides)
−x+5=11
−x+5+−5=11+−5(Add -5 to both sides)
−x=6
−x−1=6−1(Divide both sides by -1)
x=−6
Step: Substitute −6 for x in y=2x+5:
y=2x+5
y=(2)(−6)+5
y=−7(Simplify both sides of the equation)
-Source: MathPapa
The area of a 2D form is the amount of space within its perimeter. The area of the bottom of the box is 64 square inches.
<h3>What is an area?</h3>
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.
Given the radius of the base of the plastic bottle is 2 inches, and there are four bottles arranged as shown below, therefore, the area of the bottom of the box is,
Hence, the area of the bottom of the box is 64 square inches.
Learn more about Area:
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Answer:
<h3><em>
(12, -6)</em></h3>
Step-by-step explanation:
The formula for calculating the midpoint of two coordinates is expressed as shown;
M(X, Y) = [(x1+x2)/2, (y1+y2)/2]
Given the midpoint of ST to be ((6, -2) and one endpoint T is (0,2), according to expression above;
X = (x1+x2)/2
Y = (y1+y2)/2
From the coordinates, X = 6, Y = -2, x1 = 0 and y1 = 2, to get x2 and y2;
X = (x1+x2)/2
6 = (0+x2)/2
cross multiply
12 = 0+x2
x2 = 12-0
x2 = 12
For 2;
Y = (y1+y2)/2
-2 = (2+y2)/2
cross multiply
-4 = 2+y2
y2 = -4-2
y2 = -6
<em>Hence the other endpoint S(x2, y2) is (12, -6)</em>
<em></em>
5 1/2 * 2 1/3 =
11/2 * 7/3 =
77/6 =
12 5/6 <===
X=15degrees
The angle measurements are 30, 30, and 120 so it is an isosceles
