Answer:
2
Step-by-step explanation:
sin²a + cos²a + sec²a - tan²a
sin²a + cos²a = 1
1 + tan²a = sec²a
So, sec²a - tan²a = 1
sin²a + cos²a + sec²a - tan²a
= 1 + 1 = 2
Since the slope is 2/3, for every time the x-value increases by 1
the y-value increases by 2/3.
The answer to x is found by finding the difference between 3 and 5, which is 2.
2/3 goes into that 3 times.
So subtract 2 from -2 to get -4.
The x-value is -4.
The answer for the y-value is given earlier:
the original point of (-2,5).
The y-value is 5.
Hope this helps!
Answer: x = 10.3 ÷ 4
Step-by-step explanation: if we were to work this out forgetting about the equation it can be worked out by dividing the 10.3 by 4 to find the length of the pieces so, now to express it as an equation, we have to add x into our sum 4 × ? = 10.3 : 4x = 10.3. The answer for x would be x = 2.58.
Answer:
x = 7
Length = 4 inches , Width = 15 inches
Step-by-step explanation:
<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>
Area of rectangle = Length × Width
A = L × W
L = x - 3
W = x + 8
Therefore:
A = L × W
60 = ( x - 3 ) ( x + 8 )
( x - 3 ) ( x + 8 ) - 60 = 0
x^2 + 8x - 3x - 24 - 60 = 0
x^2 + 5x - 84 = 0
x^2 + 12x - 7x - 84 = 0
x ( x + 12 ) - 7 ( x + 12 ) = 0
( x + 12 ) ( x - 7 ) = 0
THEREFORE:
x = - 12 , x = 7
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<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>
L = x - 3
L = ( - 12 ) - 3
L = - 15
OR
L = ( 7 ) - 3
L = 4
THEREFORE:
Length can not be a negative number. Hence, L can not equal to - 15.
L = 4 inches
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W = x + 8
W = ( 7 ) + 8
THEREFORE:
W = 15 inches
