Answer:
12 year old is the youngest sibling
Step-by-step explanation:
Given: The ages of three siblings are all consecutive integers.
The sum of sibling´s age is 39.
Now, finding the age of youngest sibling.
Lets assume the age of youngest sibling be "x"
As given, The ages of three siblings are all consecutive integers.
∴ Age of 2nd sibling will be
Age of 3rd sibling will be
next, forming an equation for the sum of sibling´s age.
⇒
Opening the parenthesis
⇒
⇒
Subtracting both side by 3
⇒
⇒
Dividing both side by 3
⇒
∴ x= 12
Subtituting the value of x to find the age of other sibling
∴Youngest sibling age= 12 years
2nd sibling age= 13 years
3rd sibling age= 14 years
Hence, The youngest sibling is 12 years old.
Answer:
Step-by-step explanation:
Given:
- Focus = (-5,-4)
- Directrix = -6
To find:
Locus of Parabola (Upward/Downward)
Where:
- (a,b) = focus
- c = directrix
Hence:
Cancel square root by squaring both sides as we get:
Solve for y-term:
Simultaneous equation refer to a pair of equations that are solved at the same time.
<h3>What is a simultaneous equation?</h3>
A simultaneous equation refer to a pair of equations that are solved at the same time.
For problem 1;
x = 4 - y ------ (1)
y^2 = 3x + 19 ----- (2)
Substitute (1) into (2)
y^2 = 3(4 - y) + 19
y^2 = 12 - 3y + 19
y^2 +3y - 31 =0
y = 4.27 or -7.27
x = 4 - 4.27 = 0.27
or
x = 4 - (-7.27) = 11.27
For the second problem;
x = 7 - y
y^2 = 5x - 15
Substitute (1) into (2)
y^2 = 5(7 - y) - 15
y^2 =35 -5y -15
y^2 + 5y - 20 = 0
y =2.62 or -7.62
x = 7 - 2.62 = 4.38
OR
x= 7 - (-7.62) = 14.62
Learn more about simultaneous equation:brainly.com/question/16763389
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Add all the sides together or multiply two sides.
Answer:
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