Answer:
18° and 72°
Step-by-step explanation:
Complimentary angles form 90°
We have an angle (x) 4 times larger than the other (y).
Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.
Answer:
90
Step-by-step explanation:
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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Find total number of integers
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Number of integers from 1 to 100 = 100
There are 100 numbers altogether
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Find total numbers that can be divided by 2
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Number that are multiples of 2 = 100 ÷ 2 = 50
50 of the number are multiples of 2
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Find total numbers that are multiples of 3
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Numbers that are multiples of 3 = 100 ÷ 3 = 33 R 1
33 of the numbers are multiples of 3
Of the 33 numbers that are multiples of 3, half of the numbers are even and had been included in multiples of 2.
33 ÷ 2 = 16 R 1
33 - 16 = 17
17 of the numbers are multiples of 3
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Total numbers that can be multiples of 2 or 3
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50 + 17 = 67
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Total number that are neither multiples of 2 nor 3
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100 - 67 = 33
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Ans: 33 integers are neither multiples of 2 nor multiples 3
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Answer:
add 10 which gives yoy 5x=10 divode by 5 that givdz u 2
