y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex
19-3=16
16/8=2
2x8+3=19
The answer is 2.
Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,
c > 16.64
Therefore the smallest possible whole number is 17 inches.
Answer:
Cesar's amount can be expressed by x + 12.12
Dalila's amount can be expressed as x - 22.88
Step-by-step explanation:
If Carmen raised 12.12.less than Cesar, that means his amount is 12.12 more than hers so that is <u>x + 12.12</u> for <u>Cesar</u>.
If Cesar raised 35 more than Dalila, her amount is Cesar's minus 35. Calculate: x+12.12 - 35. the difference is 22.88 less than x so the amount for <u>Dalila is x- 22.88</u>
The actual distance between Yappy city and Quiet city when it is 23 cm in map is 9.2 miles.
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that :
The distance on the map between Yappy city and Quiet city is 23 cm
and,
5cm = 2 miles
now, for 1 cm on map it is equal to 2/5 miles of actual distance.
Therefore to find the actual distance of 23 cm in map we simply multiply 23 with 2/5 :
actual distance :
2/5 x 23 = 9.2 miles
Therefore, the actual distance between Yappy city and Quiet city is 9.2 miles.
Read more about ratio at:
brainly.com/question/17869111
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