Answer:
x = -24
Step-by-step explanation:
First, distribute 2 to all terms within the parenthesis:
2(x + 11) =
2 * x = 2x
2 * 11 = 22
2x + 22 = -26
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
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First, subtract 22 from both sides of the equation:
2x + 22 (-22) = -26 (-22)
2x = -26 - 22
2x = -48
Next, divide 2 from both sides of the equation:
(2x)/2 = (-48)/2
x = -48/2
x = -24
x = -24 is your answer.
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Answer:
hey
Step-by-step explanation:
to calculate perimeter, you require length,breadth
since points are given,find distance between points using distance formulae
<h2>root over (x2-x1)² +(
y2-y1)²</h2>
______________________
<h3>Point H =(6,7)</h3><h3>Point I=(-6,-9)</h3><h3>Point J=(-10,-6)</h3><h3>Point G=2,10)</h3>
Now find distance between HI and IJ
HI gives the distance - length of rectangle
IJ gives the distance - breadth of rectangle
use the formulae ,2(length+breadth) to get perimeter
______________________
HI= root over 144+256= root 400
HI=20
IJ= root over 16+9= root 25
IJ=5
PERIMETER =2(20+5)
2×25
=50
Answer:
option D
Step-by-step explanation:
Jerry solved this equation:
In the first step , she multiplied 3 inside the parenthesis
1. 
In step 2, 3/4 is added on both sides
2. 
In step 3, we take LCD 12
3. 
In step 4, add the fractions
4. 
Here, 3 or 3/1 are same.
In step 5, to remove 3/1 we multiply both sides by 1/3.
Instead of multiplying 1/3 , Jerry made an error by multiplying 3/1
In step 5, he should have multiplied both sides by 1/3
Answer:
19. 5 feets
Step-by-step explanation:
Shadow of tree = 26 feets
Height of flower = 3 feets
Shadow of flower = 4 feets
Height of sun Innthe sky:
Shadow of flower / height of flower
= 4/3 = 1.333333
Height of tree:
Shadow of tree / height of sun
26 feets / 1.33333
= 19.5 feets
Hence, height of tree = 19.5 feets
Answer:
Step-by-step explanation:
We are given the trigonometric equation of:
Let u = 4x then:
Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).
Convert u-term back to 4x:
Divide both sides by 4:
The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.
Therefore:
