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Ray Of Light [21]
3 years ago
8

A building in a city has a rectangular base. The length of the base measures 65 ft less than three times the width. The perimete

r of this base is 950 ft. What are the dimensions of the base?
Mathematics
1 answer:
Archy [21]3 years ago
5 0

Answer:

The length of the base is 340 ft and the width of the base is 135 ft

Step-by-step explanation:

Let

x -----> the length of the base

y ----> the width of the base

we know that

The perimeter of the rectangular base is

P=2(x+y)\\P=950\ ft

so

950=2(x+y) -----> equation A

x=3y-65 -----> equation B

substitute equation B in equation A  and solve for y

950=2(3y-65+y)

475=(4y-65)

4y=475+65

4y=540

y=135

Find the value of x

x=3(135)-65=340

therefore

The length of the base is 340 ft and the width of the base is 135 ft

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Gala2k [10]

Answer:(X^2-5)(x^2+5)(x^4+25)

Step-by-step explanation:

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3 years ago
Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5​
olchik [2.2K]

Answer:

The answer is

<h2>y =  -  \frac{2}{3} x + 5</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation we must first find the slope of the line.

So the slope of the line using points (-3, 7) and (9,-1) is

<h3>m =  \frac{ - 1 - 7}{9 + 3}  =  -  \frac{8}{12}  =  -  \frac{2}{3}</h3>

Now we use the formula

<h3>y - y1 = m(x - x1)</h3>

where

m is the slope

( x1 , y1) is any of the points given

So the equation of the line using point

( - 3 , 7) and slope - 2/3 is

<h3>y - 7 =  -  \frac{2}{3} (x + 3) \\ y - 7 =  -  \frac{2}{3} x - 2 \\ y =  -  \frac{2}{3} x - 2 + 7</h3>

We have the final answer as

<h3>y =  -  \frac{2}{3} x + 5</h3>

Hope this helps you

5 0
2 years ago
Read 2 more answers
Apply the junction rule to the junction labeled with the number 1 (at the bottom of the resistor of resistance R2R2R_2). Answer
Ira Lisetskai [31]

Answer:

-I₁ + I₂ + I₃ = 0

I₁ = I₂ + I₃

Step-by-step explanation:

The image of the circuit is obtained online and attached to the question.

The junction rule is essentially a law of conservation of current (charges). It applies to electrical circuits at steady state.

It explains that the for any given junction (node in an electrical circuit), the sum of current entering the junction is equal to the sum of current leaving the junction. That is, the net sum of current at any junction is zero.

Current entering a junction is assigned a positive sign and that leaving the junction is assigned a negative sign.

Σ I = 0

From the image of the circuit attached, I₁ is leaving the junction labelled number 1 and I₂ and I₃ are entering the junction.

Hence,

-I₁ + I₂ + I₃ = 0

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Hope this Helps!!!

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3 years ago
Where do I put the parentheses in 21-8-6=7
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Answer:

around 21-8 so the equation would look like this (21-8)-6=7

Step-by-step explanation:

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7 0
3 years ago
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So I need help pls show ur work
Ad libitum [116K]

Answer:

x = – ⅓

Step-by-step explanation:

The solution to the expression can be obtained as follow:

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Clear bracket

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Divide both side by –6

x = 2 / –6

x = – ⅓

Thus, the solution to the equation is –⅓

7 0
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