Answer:
Domain: (-∞, ∞), Range: [-3, ∞)
Step-by-step explanation:
Domain is all of the possible x-values in a solution set, in this case since the solution extends infinitely horizontally it would be:
(-∞, ∞)
The range is just all of the possible y-values in a solution set, which in this set starts from -3 and proceeds on infinitely, making the range:
[-3, ∞)
Answer : The number is 4.
Step-by-step explanation:
<u>Given : </u>
six times a number, increased by 3 is is 27.
<u>To Find: </u>
The number.
<u>Solution : </u>
Let the number is x
six times a number is 6x
Increased by 3 = 6x+3
According to the given question :
<u>Solving the value x : </u>
6x+3 =27
6x = 27-3
6x = 24
x = 24/6
x = 4
Hence, the number is 4.
Multiply both sides by 12, which becomes (12*6)/9 = w as the the 12 cancels out on the right side. This becomes 72/9 = w and since 9 goes into 72 8 times, 8 = w
Answer:
x = 68°
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The ray WD bisects ∠ZWN
→ That means it divides the angle into two equal angles, ∠ZWD and ∠DWN
∴ m∠ZWD = m∠DWN
∵ m∠ZWD = 5v - 7
∵ m∠DWN = 4v + 8
→ Equate the measures of the two angles
∴ 5v - 7 = 4v + 8
→ Add 7 to both sides
∵ 5v - 7 + 7 = 4v + 8 + 7
∴ 5v = 4v + 15
→ Subtract 4v from both sides
∵ 5v - 4v = 4v - 4v + 15
∴ v = 15
∵ x = m∠ZWD
∴ x = 5v - 7
→ Substitute v by 15
∵ x = 5(15) - 7
∴ x = 75 - 7
∴ x = 68°
Equation of an ellipse:
(x-h)²/a² + (y-k)²/b² = 1
Since it passes through the origin (0,0) , then h = k = 0 hence the equation:
(x-0)²/a² + (y-0)²/b² = 1
x²/a² + y²/b² = 1
2a = major axis = 2.|5| + |-5| = 10. then a = 5 and a² = 25
2b = minor axis = 2.|3| + |-3| = 6. then b = 3 and b² = 9
Then the final equation is:
x²/25 + y²/9 = 1
