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Over [174]
2 years ago
13

The distance, d, measured in miles, that Hye drove is d = 45. 2t, where t is the time in hours. What is the constant of proporti

onality? Enter your answer as a decimal in the box.
Mathematics
1 answer:
raketka [301]2 years ago
3 0

The constant of proportionality is the relationship between variables that are directly proportional

The constant of proportionality of \mathbf{d = 45.2t} is 45.2

The distance measured in miles is given as:

\mathbf{d = 45.2t}

An equation that has a constant proportion is represented as:

\mathbf{y=kx}

Rewrite the equation in terms of d and t.

So, we have:

\mathbf{d=kt}

Where, k represents the proportionality constant.

By comparison:

\mathbf{k = 45.2}

Hence, the constant of proportionality is 45.2

Read more about constant of proportionality at:

brainly.com/question/1835116

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Please answer quickly<br>expand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)​
Gekata [30.6K]

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

5 0
3 years ago
Find the domain of the rational expression.<br> f(x) = (x + 7)(x-4)
tankabanditka [31]

If you wrote the expression correctly, then

f(x)=(x+7)(x-4)=x^2+3x-28

Is a polynomial, and thus defined everywhere: its domain is the set of all real numbers.

If, by chance, you meant

f(x)=\dfrac{x+7}{x-4}

Then we must exclude the point x=4 from the domain, since that value would cause the denominator to vanish. So, the domain would be the set of real numbers, minus the number 4.

4 0
3 years ago
Is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4)?
lubasha [3.4K]
Strange question but I'd say yes as you move point to point.    


4 0
3 years ago
2(b + c)2-3 (b - c)? if b = 8 and c =<br>=-4​
finlep [7]

Answer:

96

Step-by-step explanation:

= 2(b+c)2-3(b-c)

= 2(8+4)2-3(8-4)

= 2(8+4)1(8-4)

= 2×12×1×4

= 96 ans

3 0
3 years ago
Alex went for a jog. He ran 12 kilometres in an hour and a half. What was his average speed in kilometres per hour? *
Harlamova29_29 [7]

Answer:

8km/hr

Step-by-step explanation:

12/1.5 = 8

5 0
3 years ago
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