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Oduvanchick [21]
3 years ago
10

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

Mathematics
1 answer:
Katen [24]3 years ago
4 0

Answer:

<h3>              (25, 91)</h3>

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:

                               <u>(25, 91)</u>

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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


8 0
3 years ago
Alec starts up a monthly subscription potato box. It costs 18.20 dollars per month,
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

#SPJ1

6 0
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
iren [92.7K]

Answer:

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.

6 0
3 years ago
Read 2 more answers
What do I do on this problem please help
insens350 [35]
(-1.0) (-4,-1) (-1,-5) hopefully this helps (x,y)

7 0
3 years ago
Dylan has a roll of wrapping paper that is5 meters long. How many centimeters of wrapping paper does he have.
In-s [12.5K]
500 centimeters I think *sweats nervously*
6 0
3 years ago
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