Answer:
29/7
Step-by-step explanation:
10-5x=3(x-4)-(x+7)
10-5x=3x-12-x-7
10-5x=3x-x-12-7
10-5x=2x-19
10-5x-2x=-19
10-7x=-19
7x=10-(-19)
7x=10+19
7x=29
x=29/7
5! I did this one last year!
For the given points to lie on the parabola,
a = -3 and k = 10.
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).
According to the question,
Equation of parabola : y = a + k
Points A(1,7) and B(4,-2)
For the points to lie on the parabola,
7 = a+k
7 = a + k
Similarly,
-2 = a + k
-2 = 4a + k
On solving the two equations simultaneously, we get,
a = -3
k = 10
Learn more about parabolas here:
brainly.com/question/4061870
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Answer:
<h2>In the attachment</h2>
Step-by-step explanation:
Answer:
1. y = 30x
2. y = x+5
3. y = 2x
4. y = x+2
Step-by-step explanation:
1. The speed of a car is x miles per hour. The total distance the car covers is 30 minutes is y
Total Distance = y
Time = 30 minutes
Speed = x
So, equation will be y =30x
2. Tina's age y is 5 years more than her brother Tim's age x.
Tim's age = x
Tina's age y= x+5
So, y = x+5
3. The cost to produce a table y is two times the cost to produce a chair,x
Cost of chair = x
Cost of table = y = 2x
So, y = 2x
4. The time required to bake a chocolate muffin, y is 2 minutes more than the time required to bake a vanilla muffin x
Time to bake vanilla muffin = x
Time to bake chocolate muffin= y= x+2
so, y = x+2