Using the midpoint concept, it is found that the value of a is of a = 2.
<h3>What are the coordinates of the points?</h3>
Researching this problem on a search engine, the coordinates are given as follows:
<h3>What is the midpoint concept?</h3>
The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
Hence the following system of equations can be built:
(b + 1 + 2a)/2 = 3.
b + 1 + 2a = 6.
b = 5 - 2a.
(a + 2 + 3b + 3)/2 = 5
a + 3b + 5 = 10
a + 3b = 5.
Since b = 5 - 2a, we have that:
a + 15 - 6a = 5.
5a = 10
a = 10/5
a = 2.
The value of a is of a = 2.
More can be learned about the mid-point concept at brainly.com/question/10956693
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Answer:
the sume of two numbers is 2. if one number is subtracted from the other, their difference is 8. find the numbers---->
Step-by-step explanation:
X+Y=2
X-Y=8
If you subtract X+Y with X-Y, you get 2y, and so that equals 2-8, that is -6.
2y=-6
y=(-6)/2
y=-3
-3+X=2
x=2+3
x=5 and y=-8
Check
-3+5=2
5-(-3)=8
Step-by-step explanation: 2 × 18 = 36. Then (as there are two numbers) take the square root: √36 = 6. this is for 36
Answer:
6:20 AM
Step-by-step explanation:
Because the parabola intercepts the x-axis only once, we conclude that the discriminant is 0.
<h3>
What can we say about the discriminant?</h3>
For a quadratic equation:
y = a*x^2 + b*x + c
The discriminant is:
D = b^2 - 4ac
- If D = 0, there is only one real zero.
- If D > 0, there are two real zeros.
- If D < 0, there are two complex zeros.
In the graph we can see that the parabola intercepts the x-axis in its vertex, then the parabola has only one real zero, then we conclude that the discriminant is equal to zero.
If you want to learn more about quadratic equations:
brainly.com/question/776122
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