If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.
<h3>Discriminant: </h3>
The quadratic formula includes the discriminant, which comes after the square root. The discriminant of a quadratic equation is important because it indicates the quantity and kind of solutions.
The formula for the Discriminant of a Quadratic Equation ax²+bx +c = 0 is given by
<h3> Discriminant Δ = b² - 4ac </h3>
Here we have
x² + 16x + c = 0 equation has only one real solution
Compare given equation with ax²+ bx + c = 0
=> a = 1, and b = 16
As we know when an equation has only one real solution
then its Discriminant will be equal to zero
=> b² - 4ac = 0
By the above values,
=> 16² - 4(1)c = 0
=> 256 - 4c = 0
=> 4c = 256
=> c = 256/4
=> c = 64
Therefore,
If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.
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Formula for the area of a square = side^2
So, 15^2 will result in the area.
Thus, the answer is 225 mm^2 (when squaring, units are always given the square as well.)
<h3>
Answer:</h3>
96 necklaces
<h3>
Step-by-step explanation:</h3>
To find out how many necklaces Camilla can make, we need to see how many times the required number of beads "goes into" the available number of beads.
Silver: 8160/85 = 96
Black: 2880/30 = 96
Camilla has enough beads to make 96 necklaces.
_____
<em>Comment on this answer</em>
Obviously, if one of the quotients is smaller than the other, Camilla can only make as many necklaces as are supported by the constraining resource.
Even if she had 3000 black beads (way more than 2880), she could still only make 96 necklaces (for example) because she would run out of silver beads making that 96th necklace. (There would be 120 black beads left over in that scenario.)
Answer:
Answer : 3/2
Step-by-step explanation:
30/20= 3/2
it is because we don't want the zero so that we can take it off.
Hope this help you!! :))
Answer:
Perimeter of rectangle ABCD = 47.62
Step-by-step explanation:
The perimeter of a rectangle is P = 2(length + width)
You need to find length and width
If you graph, you can pick your length length and your width
Pick two points after you graph, for 
Use the distance formula to find the length =
point B (4,5) will be point 1 and point C (8,-3) will be point 2
Substitute
length =
length = 
length = 8.94
Use the distance formula to find the width =
point C (8,-3) will be point 1 and point D (-2,8) will be point 2
Substitute
width =
width =
width =
width = 
width = 14.87
Now use formula P = 2(length + width)
P = 2(8.94 + 14.87)
Perimeter of rectangle ABCD = 47.62
