Solve and check the following equations x-1/3=2/3
Answers
Answer:
x -1/3 = 2/3
x= 2/3+1/3
x= 3/3
x=1
Step-by-step explanation:
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Pablo has $4,200 to invest for college. Pablo's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?
Answers
B.The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle.
C.The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.
D.The triangle has a base of 11 inches and a height of 8 inches.
The rectangle has a width of 4 inches.
Answers
Let
x-------> the length of the rectangle
y------> the width of the rectangle
we know that
The area of the rectangle is equal to
The area of the two congruent right triangles is equal to the area of the rectangle
so
-------> equation A
-----> equation B
Substitute equation B in equation A
--------> equation that can be used to solve for the length of the rectangle
Using a graph tool-------> solve the quadratic equation
see the attached figure
The solution is
-----> the length of the rectangle
Find the value of y
----> the width of the rectangle
Statements
case A) The area of the rectangle is square inches
The statement is True
See the procedure
Case B) The equation can be used to solve for the dimensions of the triangle
The statement is False
Because, the equation can be used to solve for the dimensions of the triangle
case C) The equation can be used to solve for the length of the rectangle
The statement is True
see the procedure
case D)The triangle has a base of inches and a height of
inches
The statement is True
Because, the base of the triangle is equal to the length of the rectangle and the height of the triangle is equal to the width of the rectangle
case E) The rectangle has a width of inches
The statement is False
See the procedure
The correct statements are:
- The area of the rectangle is 88 square inches.
- The equation x^2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.
- The triangle has a base of 11 inches and a height of 8 inches.
What are the dimensions of the rectangle?
When a rectangle is split diagonally, two right triangles are formed.
The area of a triangle = 1/2 x base x height
44 = 1/2 × (x - 3) × x
Where x represents the length
In order to determine the value of x, take the following steps:
Multiply both sides of the equation by 2: 88 = x² - 3x
x² - 3x - 88 = 0
Use the factorisation method to find x: (x² + 8x) (-11x - 88x)
x(x + 8) -11(x + 8)
x + 8 = 0
x = -8
x - 11 = 0
x = 11
Width = 11 - 3 = 8
Area of the rectangle = length x width
11 x 8 = 88 square inches.
To learn more about how to determine the area of a triangle, please check: brainly.com/question/9329354
Answers
Answer:
Number & Cost($)
Feet & Yards
Step-by-step explanation:
Number & Cost:
(2, 38), (4, 76) <====== pick any two point to find constant
constant = (y₂ - y₁) / (x₂ - x₁)
= (76 - 38) / (4 - 2)
= 38 / 2
= 19 <====== k the constant
y = kx
y = 19x
point (2, 38): 38 = 19(2) ===> 38 = 38
point (4, 76): 76 = 19(4) ===> 76 = 76
point (7, 133): 133 = 19(7) ===> 133 = 133
point (9, 171): 171 = 19(9) ===> 171 = 171
Feet & Yards:
(27, 9), (75, 25) <====== pick any two point to find constant
constant = (y₂ - y₁) / (x₂ - x₁)
= (25 - 9) / (75 - 27)
= 16 / 48
= 1/3 <====== k the constant
y = kx
y = 1/3x
point (3, 1): 1 = 1/3(3) ===> 1 = 1
point (12, 4): 4 = 1/3(12) ===> 4 = 4
point (27, 9): 9 = 1/3(27) ===> 9 = 9
point (75, 25): 25 = 1/3(75) ===> 25 = 25
Answers
Answer:
Step-by-step explanation:
Find :
-Apply for variable
to the equation:
-Solve the expression:
Therefore, the final answer is .
Answer:
21
Step-by-step explanation:
5
Answers
1) a rectangle 2*6 :
==>
P=2*(2+6)=16 A=2*6=12
2)a triangle isocele base 6 height 4 :3²+4²=5²
==>
P: 6+5+5=16
A=4*6/2=12
Where else have you heard the term model? How is that meaning of the word different from or the same as the meaning we use in algebra? good answers only
Answers
Answer:
The definition of a model is a specific design of a product or a person who displays clothes, poses for an artist. An example of a model is a hatch back version of a car. An example of a model is a woman who wears a designer's clothes to show them to potential buyers at a fashion show. Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Step-by-step explanation: