Please comment the question which goes with the picture so I can try to help.
<h3>★ <u>Required Answer:-</u></h3>
<u>First, what is an equation?</u>
➳ A mathematical statement which shows that two algebraic expressions are equal is called and equation.
Or, LHS = RHS
<u>Example</u>:- 3x - 5 = x + 8
An equation is said to be a linear equation if it contains only one variable (literal) with highest power 1.
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<u>Solving an equation:-</u>
To solve the equation x + 5 = 7 means to find the value of an unknown algebraic quantity used in the equation.
<u>Example</u>:-
- To solve the equation x + 5 = 7 means to find the value of x.
- To solve the equation 3y + 2 = 9 means to find the value of y.
- To solve the equation means to find the value of a ⠀⠀⠀⠀⠀⠀and so on!
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★ <u>Rules for solving an equation</u><u> </u><u>by</u><u> </u><u>the</u><u> </u><u>substitution</u><u> </u><u>method</u><u>:</u><u>-</u>
<u>Rule</u> ❶
If x = 2, the value of the expression 3x + 2 = 3 × 2 + 2 = 6 + 2 = 8
<u>Rule</u> ❷
If x = 0, the value of the expression 3x + 2 = 3 × 0 + 2 = 0 + 2 = 2
<u>Rule</u> ❸
If x = -2, the value of the expression 3x + 2 = 3 × -2 + 2 = -6 + 2 = -4
Now consider the algebraic expression 5x - 2y
This expression consists of variables x and y.
Now if :-
- x = 3 and y = 2, 5x - 2y = 5 × 3 2 × 2 = 15 - 4 = 11
- x = 8 and y = 5, 5x - 2y = 5 × 8 - 2 × 5 = 40 - 10 = 30
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The process of finding the value of an algebraic expression by substituting the given value of its variable is called substitution.⠀⠀
Answer:
Step-by-step explanation:
Read the coordinates of the points:
A(-1, 0) → A'(-1, 0)
B(0, 2) → B'(0, -2)
C(3, 2) → C'(3, -2)
D(4, 0) → D'(4, 0)
(x, y) → (x, -y)
Check:
A → A': (-1, 0) → (-1, -0) = (-1, 0) CORRECT
B → B': (0, 2) → (0, -2) CORRECT
C → C': (3, 2) → (3, -2) CORRECT
D → D': (4, 0) → (4, -0) = (4, 0) CORRECT
Step-by-step explanation:
Let us consider the length of a line segment to be 'x'
Let the other line segment be 'y'
One line segment is 12 less than twice the length of other segment.
X = 2y - 12
The sum of both the lengths = 69cm
X + Y = 69
X = 69 - Y
Substitute the X value in the first equation
X = 2y - 12
69 - Y = 2Y - 12
- Y - 2Y = -12 -69
- 3Y = - 81
3Y = 81
Y = 81/3
Y = 27 CM
Length of One of the line segment is 27cm
The length of the other line segment 'x'
is
X= 2y - 12
X = 2(27) - 12
X = 54 - 12
X = 42cm
The length of the line segments are 42cm and 27cm.
Answer:
The Upper Quartile would not be 59. It would be 60.5.
Step-by-step explanation:
The Upper Quartile would not be 59. It would be 60.5.