What is the volume of the prisim show below .
8 6 10
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9(x2 + 6x) = 7
9(x2 + 6x + 9) = 7 +.?
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1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
9x2 +54x = 7
2. Make sure that the coefficient of the x^2 term is 1.
9(x2 + 6x) = 7
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
9(x2 + 6x + 9) = 7 + 81
9(x+3)^2 = 88
Answer:
? = 81
Step-by-step explanation:
2
StartFraction 9 over 2 EndFraction
9
I NEED HELP QUICK!
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We have been given an equation . We are asked to find constant of proportionality from our given equation.
We know that two directly proportional equations are in form ,where y is directly proportional to x and k is constant of proportionality.
Let us rewrite our given equation by cross multiplying as:
Now we will divide both sides of equation by 2.
We can see that our equation is in form and constant of proportionality is
.
Answer:
9
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2
Picture:
What is the probability of landing on an 8 and then landing on a 9?
Write your answer as a fraction or whole number.
Submit
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Answer:the Answer is 1/9
Step-by-step explanation:
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Answers
We want to find the maximum product of
Let's solve our first equation for a.
We can substitute this in
Distribute.
Now we can just find the vertex of this quadratic, either putting it or vertex form or using a shortcut mentioned later. (if your teacher has already explained it to you)
Put the constant on the left side. (It's 0, so nothing to do there)
Factor out the coefficient of b².
Find which number to add to create a perfect square trinomial.
(half of -12 is -6, -6² = 36. we would add -72 to each side, so that 36 ends up inside the parentheses on the right side)
Factor the perfect square trinomial.
Isolate the p term.
The vertex is (6, 72), as vertex form is y=a(x-h)²+k where (h, k) is the vertex.
Therefore, the value of b which yields the height product p is 6.
We can plug this into a previous equation to find a.
a + 2b = 24
a + 2(6) = 24
a + 12 = 24
a = 12
a = 12, b = 6
(The shortcut I was talking about is that for any quadratic f(x) = ax² + bx + c, the vertex (h, k) is (-b/2a, f(h)))
Answer:
The total length of Valerie’s walls is 105.75 feet:
(2.5 × 4) + (21.25 × 3) + 32 = 10 + 63.75 + 32 = 105.75 feet.
The total length of Seth’s walls is 107 feet:
3.5 + (22.75 × 2) + 58 = 3.5 + 45.5 + 58 = 107 feet.
The sum of 105.75 feet and 107 feet is 212.75 feet. The Commutative Property allows me to add numbers in any order. This is why the answers in parts D and E match.
Step-by-step explanation:
If your on PLATO this is the answer
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Answer:
32.5 miles
Step-by-step explanation:
Given that:
Eastbound bus :
0.8 miles every 45 seconds
Speed per second :
0.8 / 45 = 0.0177777 miles per second
Distance after 15 minutes
(15 * 60) * 0.0177777 = 16 miles
Westbound bus:
0.55 miles every 30 seconds
Speed per second :
0.55 / 30 = 0.0183333 miles per second
Distance after 15 minutes :
(15 * 60) * 0.0183333 = 16.5 miles
Distance apart :
16 miles + 16.5 miles = 32.5 miles
METHOD 2:
Distance covered after 15 minutes :
15 minutes = 15 * 60 = 900 seconds
Distance apart after 900 seconds :
[0.8 * (900/45)] + [0.55 * (900/30)]
16 + 16.5
= 32.5 miles