Answer:
x=5
y=0
Step-by-step explanation: -7y + 16x - 80 = 0
x=5
-9y + 4x - 20 = 0
y=0
Answer:
The resultant vector, A+B, has a Magnitude of 15.02 meters and an angle of 34.23 degrees
Step-by-step explanation:
We need to convert the vectors given to x,y coordinate form.
We use the formula below:
Where A is the magnitude and is the angle.
Vector A:
and
Vector B:
and
Now we can write the vectors as:
A = <10.55,4.05>
B = <1.87,4.40>
To add, A+B, we have:
A + B = <10.55+1.87, 4.05+4.40>
A + B = < 12.42, 8.45 >
To convert this into magnitude/degree format:
Magnitude =
Angle =
two places to the left
B.
two places to the right
C.
three places to the left
D.
three places to the right
your answer would be C, cause 1,000 has three zeros;
60.8 ÷ 1,000 = 0.0608
The answer is 3 places to the left
A. -19/2
B. 361/4
C. 361
D. 361/2
Answer: The correct option is (b)
Step-by-step explanation: We are given to select the correct value of 'n' such that becomes a perfect square trinomial.
The standard form of a perfect square trinomial is
Now, we can write
So, for the given expression to be perfect trinomial,
Thus, (b) is the correct option.
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
/4
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.
Learn more about Quadratic Equations here :
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B. 5.4 km
C. 81.41 km
D. 760.8 km