General form for vertex form is:
y = a(x - h)² + k
Where the vertex is the point (h, k). We know this to be (5, -3), so we can substitute the values for h and k to get:
y = a(x - 5)² - 3
We then also have another point (6, 1) that gives us an x and y. Substitute those in to leave one unknown which we can solve for:
1 = a(6 - 5)² - 3
1 = a(1)² - 3
1 = a(1) - 3
1 = a - 3
4 = a
So the equation of this parabola in vertex form is:
y = 4(x - 5)² - 3
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Answer:
225.5 sq. mm
Step-by-step explanation:
triangle:5x(9+4+4+4)=15x21÷2=157.5
5x(4+4)=5x8=40
7x4=28
157.5+40+28=157.5+68=225.5
Answer: $1,462.50
Step-by-step explanation: Can you help answer my question please? Just go to my profile and it was My most recently asked question.
Answer:
A. 450 feet
Step-by-step explanation:
If the rock climber starts at 630 feet above sea level, decending down 180 feet lower than his starting point (630) would put him at 450 feet above sea level. Hope this helps
<h2>Alex accidentally forgot to stock up on toilet paper before the stay-at-home order. Now he has to buy toilet paper on the black market. Though the price of toilet paper on the black market has mostly stabilized, it still varies from day to day. The daily price of a generic brand 12-pack, X, and the daily price of a generic brand 6-pack, Y, (in rubles) jointly follow a bivariate normal distribution with:
</h2><h2>μx = 2,470, σx = 30, μy = 1,250, σ = 25, p = 0.60.
</h2><h2>(a) What is the probability that 2 (two) 6-packs cost more than 1 (one) 12-pack? (b) To ensure that he will not be without toilet paper ever again, Alex buys 7 (seven) 12-packs and 18 (eighteen) 6-packs. What is the probability that he paid more than 40,000 rubles?
</h2><h2>(c) Suppose that today's price of a 12-pack is 2,460 rubles. What is the probability that a 6-pack costs less than 1,234 rubles today? [1 US dollar is approximately 75 rubles ]</h2>
