Answer:
10. First you multiply both sides by 3, making it 2x + 5 = 24
Then you subtract 5 from both sides making it 2x = 19
You dive both sides by 2 making x = 9.5
The answer is x = 9.5
11. First you need to find how much you need to pay each year. 12,000 x 0.05
you can make it easier by changing it to 120 x 5 = 600
You need to pay that for three years so 600 x 3 = 1800
Plus you need to pay the original money. 12,000 + 1,800 = 13,800
The answer is $13,800
12. First you change kilometers into centimeters. 172 km is 172,000 meters. 172,000 meters is 17,200,000
Then, you need to do 17,200,000 ÷ 500,000 but you can make it simple and do 172 ÷ 5 = 34.4
The answer is 34.4 cm
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Hopefully this helps
The values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30
<h3>How to rewrite in vertex form?</h3>
The equation is given as:
f(x) = x^2 + 12x + 6
Rewrite as:
x^2 + 12x + 6 = 0
Subtract 6 from both sides
x^2 + 12x = -6
Take the coefficient of x
k = 12
Divide by 2
k/2 = 6
Square both sides
(k/2)^2 = 36
Add 36 to both sides of x^2 + 12x = -6
x^2 + 12x + 36= -6 + 36
Evaluate the sum
x^2 + 12x + 36= 30
Express as perfect square
(x + 6)^2 = 30
Subtract 30 from both sides
(x + 6)^2 -30 = 0
So, the equation f(x) = x^2 + 12x + 6 becomes
f(x) = (x + 6)^2 -30
A quadratic equation in vertex form is represented as:
f(x) = a(x - h)^2 + k
Where:
Vertex = (h,k)
By comparison, we have:
(h,k) = (-6,-30)
Hence, the values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30
Read more about quadratic functions at:
brainly.com/question/1214333
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Answer:
Step-by-step explanation:
The radius of a circle is independent of the location of its center, and circles are always similar. Here, therefore, the circles are similar; their shapes are exactly the same. Only the radii differ from one another. The radius of Circle A is 3 and that of Circle B is 9; thus the radii differ by a factor of 3.
