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lawyer [7]
3 years ago
8

What is the distance between the points (3, 4) ( -2 , 4)​

Mathematics
1 answer:
rusak2 [61]3 years ago
7 0
The answer is 5 using the distance formula
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If y= 3x + 6, what is the minimum value of (x^3)(y)?
Rainbow [258]

Answer:

Given the statement: if y =3x+6.

Find the minimum value of (x^3)(y)

Let f(x) = (x^3)(y)

Substitute the value of y ;

f(x)=(x^3)(3x+6)

Distribute the terms;

f(x)= 3x^4 + 6x^3

The derivative value of f(x) with respect to x.

\frac{df}{dx} =\frac{d}{dx}(3x^4+6x^3)

Using \frac{d}{dx}(x^n) = nx^{n-1}

we have;

\frac{df}{dx} =(12x^3+18x^2)

Set \frac{df}{dx} = 0

then;

(12x^3+18x^2) =0

6x^2(2x + 3) = 0

By zero product property;

6x^2=0   and 2x + 3 = 0

⇒ x=0 and x = -\frac{3}{2} = -1.5

then;

at x = 0

f(0) = 0

and  

x = -1.5

f(-1.5) = 3(-1.5)^4 + 6(-1.5)^3 = 15.1875-20.25 = -5.0625


Hence the minimum value of (x^3)(y) is, -5.0625






3 0
3 years ago
The square of a number is 12 less than 7 times the number
Maru [420]
Im pretty sure its -9.
6 0
3 years ago
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What angle relationship describes VQR and QRW?
Vlad [161]

Answer: alternate interior angles

Step-by-step explanation:

Got it Right on the test. :)

8 0
3 years ago
The area of a circle is 28.26 square meters. What is the circle's diameter?
ikadub [295]

Answer: area for circle is  πr² so πr² =28.26 and we can sub 3.14 as pi

3.14*r²=28.26 we can divide by 3.14 to get r² on it's own

r²=28.26/3.14

then we root both sides to get r on it's own

28.26/3.14=9 √9=3

and the diameter is double the radius 3*2=6 so the diameter is 6

Step-by-step explanation:

7 0
3 years ago
Look at the table. Make a conjecture about the sum of the first 10 positive even numbers.
inysia [295]
The answer is 10•11, if you look at the pattern, you don't have to solve the addition.

6 0
3 years ago
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