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3 years ago

Determine the vertex of y=4(x-25)2+ 91

Mathematics

1 answer:

Katen [24]3 years ago

4 0

Answer:

Step-by-step explanation:

y = a(x - h)² + k ← vertex form of the equation of the parabola with vertex (h, k)

So y = 4(x - 25)² + 91 means:

a = 4

x - 25 = x - h ⇒ - 25 = - h ⇒ h = 25

+ 91 = + k ⇒ k = 91

Therefore vertex is:

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Please help with this

N76 [4]

$VWX\cong KLJ$ means that the triangles are congruent, that is exactly identical.

The order of letters is very important. Form the given congruence we can write the following ratio:

$\frac{VW}{KL} = \frac{WX}{LJ} = \frac{VX}{KJ} =1$

(notice that we do not mix the order: the first 2 letters of VWX are compared to the first 2 letters of KLJ and so on)

the ratio is one because the corresponding sides are equal.

$\frac{VW}{KL}=1\\\\ \frac{2z-1}{z+2}=1\\\\2z-1=z+2\\\\2z-z=2+1\\\\z=3$

$|VW|=2z-1=2.3-1=6-1=5$

Answer: 5 units

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3 years ago

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denis-greek [22]

A. The formula (mathematical function) for the monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

B. Using the formula above, the value of R(10, 3) is $197.

<h3>What is a function?</h3>

A function is an expression, rule, or law defining the relationship between an independent variable and a dependent variable.

Functions are used to define physical relationships between variables.

<h3>Data and Calculations:</h3>

Cost monthly subscription = $28.20 per box

Number of normal potatoes in each box = 16

Cost of additional luxury potatoes = $5 per potato

If the monthly revenue function, R, is given as R(s, n) where:

s = number of monthly subscribers

n = total number of luxury potatoes ordered

The monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

The value of R(10, 3) is $197 ($18.20 x 10 + $5 x 3)

Thus, using the formula above, the value of R(10, 3) is $197.

Learn more about mathematical functions at brainly.com/question/25638609

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1 year ago

1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and h

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sister = 6 years

John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.

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3 years ago

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insens350 [35]

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