Answer:
-9/4 -4i
Step-by-step explanation:
-3i + 3/4 + 2i -(3+ 3i)
The first step is to simplify the terms
-3i + 3/4 + 2i -(3+ 3i)
Now we distribute the negative sign
-3i + 3/4 + 2i -3- 3i
Now combine like terms
3/4 -3 -3i+2i -3i
-2 1/4 -4i
Change the mixed number to an improper fraction.
-(4*2+1)/4 -4i
-9/4 -4i
Hey there!☺
Let's start by simplifying both sides. First, we distribute.
Now let's subtract 7x from both sides.
Now we will subtract 12 from both sides.
In our last/final step, we will divide both sides by -10.
Now simplify -20/-10.
Hope this helps!
Answer:
24
Step-by-step explanation:
From the table given, at Mimi's Bakery, 1 X-Large sheet cake size will give us a number of servings of 120.
To find out how many X-Large cake size the school should order, simply divide the number of expected expected guests by the number of servings the X-Large cake will do.
Given that the score is expecting 2,889 guests, the school should order for:
2,889 ÷ 120 = 24.075 X-Large cakes.
Let's just say, an estimated 24 X-Large size cake should be ordered.
To determine the number of X-large sheet cakes the school should order, divide the total number of guests by the number of servings per cake and round up to the nearest whole number.
To determine how many X-large sheet cakes the school should order for 2,889 guests, we need to consult the table provided. The table shows the number of servings for different size cakes. Let's look at the X-large sheet cake row to find out how many servings it provides.
According to the table, the X-large sheet cake serves 64 people. To find out the number of X-large sheet cakes needed for 2,889 guests, we divide the total number of guests by the number of servings per cake:
Total number of guests / Number of servings per X-large sheet cake = Number of X-large sheet cakes needed
Using this formula, we have: 2,889 guests / 64 servings per X-large sheet cake = 45.14 X-large sheet cakes. Since we can't have a fraction of a cake, we round up to 46 X-large sheet cakes. Therefore, the school should order 46 X-large sheet cakes for the high school graduation.
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Answer:
60 gal
Step-by-step explanation:
equations and get the letters to decode the hidden message . You
may use the extracting the square root method
P:±6
M: ±7
C:5,6
A : 0
J:4,-1
Q:±√5
L:±11
H:±4
D:-4,1 I:±3
S:16,-6
Y: ±8
B:±4√2
E:±2
A:0,-4
U:6,0
U:±√10
N:6,-16
G:1,-1
T:±2√2
O:±6√2
V:±√3
I:±5
J:-7,-1
K:5,-2
W:±12
F:±2√3
X:±6
R:0,-6
•:9±√6
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Message : __________________________________
________________________________________
1. x2 = 49
2. x2 -27 =0
3. 3x2-36= 0
4. 9x2 = 0
5. 5x2- 15=0
6. 2x2- 144=0
7. ( x + 3)2 = 9
8. 4x2 -100 =0
9. 5x2 = 40
10. 3x2 -12 = 0
11. (x-5)2
The corresponding roots of the quadratic equations are given.
Quadratic expressions are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
1. x² = 49
Find the square root.
x = ±√49 = ±7
2. x² - 27 = 0
x² = 27 = 9 × 3
x = √27 = √(9×3) = √9 × √3 = ±3√3
3. 3x² - 36 = 0
3x² = 36
Divide 3 on both sides.
x² = 12
x = √12 = √(4 × 3) = ±2√3
4. 9x² = 0
x = 0
5. 5x² - 15 = 0
5x² = 15
x² = 3
x = ±√3
6. 2x² - 144 = 0
2x² = 144
x² = 72
x = √72 = √(36 × 2) = ±6√2
7. (x + 3)² = 9
x + 3 = √9
x + 3 = ±3
x = 3 - 3 = 0 and x = -3 - 3 = -6
8. 4x² - 100 = 0
4x² = 100
x² = 25
x = ±√5
9. 5x² = 40
x² = 8
x = √8 = √(4 × 2) = ±2√2
10. 3x² - 12 = 0
3x² = 12
x² = 4
x = ±2
11. (x - 5)² = 121
x - 5 = √121
x - 5 = ±11
x = 11 + 5 = 16 or x = -11 + 5 = -6
Hence the solutions are found.
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After addressing the issue at hand, we can state that As a result, the equation value of x is roughly 10.57 units (rounded to two decimal places).
An equation is a mathematical proclamation that proves the equality of two expressions capable of connecting through an equal sign '='. For instance, 2x - 5 = 13. Explanations include 2x-5 and 13. The '=' symbol links up the two expressions. A mathematical formula containing two formulas on either side of a =) (=) is known as an equation. It depicts the equivalence relationship between left and right methodologies. L.H.S. = R.H.S. (left edge = top half) in any formula.
Using the information provided, we can construct the following equation based on the concept of similar triangles:
x/(9+18) = 10/(BC) (BC)
9 + 18 = 27 = AB = AP + PB
Because triangle ABC is a right triangle (angle B is 90 degrees), we can apply the Pythagorean theorem to calculate the length of segment BC:
BC2 = AB2 - AC2 BC2 = 272 - 102 BC2 = 649 BC = sqrt (649)
When we plug this value into our original equation, we get:
x/(9+18) = 10/sqrt (649)
When we simplify, we get:
x/27 = 10/sqrt (649)
When we multiply both sides by 27, we get:
x = 270/sqrt (649)
As a result, the value of x is roughly 10.57 units (rounded to two decimal places).
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