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Cloud
4 days ago
8

A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the

domain of P
Mathematics
1 answer:
Leona [4.1K]4 days ago
3 0
A rectangle is defined as a two-dimensional figure that features two pairs of equal, parallel sides. Its dimensions consist of length (L) and width (W). The area of a rectangle can be calculated using the formula that multiplies these two dimensions together. The perimeter can be expressed as

P = 2L + 2W.

Given that
A = LW = 64
therefore, W = 64/L.
Substituting this value into the perimeter formula yields

P = 2L + 2(64/L)
P = 2L + 128/L.
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johanna prepares a mixture of salad mixed with mayonnaise carrots cucumber lettuce and cheese. what type of mixture divine salad
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Johanna creates a combination of salad featuring mayonnaise, carrots, cucumber, lettuce, and cheese. What classification of mixture does this divine salad represent? What makes you think so?

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5 days ago
The math counts club had a party at school.there were 20 cookies and 40 slices of pizza to be shared equally.each student had th
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3 days ago
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Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
Svet_ta [4321]

Answer:

Her weekly expenses amount to $25.

Detailed reasoning:

Given: Jessica earns commissions for every sale but must cover her own spending costs.

She expresses her income function as E(x) = 7x - 25, where x represents the number of doors she approaches in a week and E(x) denotes her weekly earnings in dollars.

To determine: What are plausible meanings for the y-intercept in Jessica's earnings function?

Working it out:

E(x) = 7x - 25

x symbolizes the doors knocked per week

E(x) reflects her weekly total earnings in dollars.

Calculating the y-intercept:

Set x = 0

y= - 25

Given that E(x) is the net earning after expenses,

the value 25 corresponds to her weekly expenses.

Since she is responsible for covering costs,

if she makes zero sales, these expenses still apply.

Therefore, the y-intercept realistically represents her $25 weekly expenses.

4 0
15 days ago
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After a rotation, A(–3, 4) maps to A'(4, 3), B(4, –5) maps to B'(–5, –4), and C(1, 6) maps to C'(6, –1). Which rule describes th
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Answer:

Rotated 90° clockwise around the origin. (RO 90)

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Based on the information A(–3, 4) transitions to A'(4, 3), B(4, –5) becomes B'(-5, –4), and C(1, 6) shifts to C'(6, –1). This implies that a point represented as P(x, y) is transformed to P(y, -x) after rotation.

Therefore, if a point P(x, y) is transformed to P(y, -x), this occurs when the shape defined by these three points is rotated 90° clockwise around the origin.

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4 days ago
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Find the missing endpoint if s is the midpoint of rt r(-9,4) and s(2,-1) ; find T
AnnZ [3877]

Answer: The coordinates of point T are (13, -6).

Step-by-step explanation: Given that point S is the midpoint of segment RT, with coordinates R(-9, 4) and S(2, -1),

we need to determine the coordinates of point T.

The midpoint formula states that the midpoint between points (a, b) and (c, d) is ((a + c)/2, (b + d)/2).

Let T be (h, k). According to the problem:

\left(\dfrac{-9+h}{2},\dfrac{4+k}{2}\right)=(2,-1)\\\\\\\Rightarrow \dfrac{-9+h}{2}=2\\\\\Rightarrow -9+h=4\\\\\Rightarrow h=4+9\\\\\Rightarrow h=13

\dfrac{4+k}{2}=-1\\\\\Rightarrow 4+k=-2\\\\\Rightarrow k=-2-4\\\\\Rightarrow k=-6.

Solving these equations yields T at (13, -6).

So, the required coordinates for point T are (13, -6).

6 0
13 days ago
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