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3 years ago

What is the distance between the two points shown?

Mathematics

2 answers:

bonufazy [111]3 years ago

7 0

The distance is (-4, 4)

Explanation: I moved down 4 cubes (negative) and moved right 4 cubes (positive).

I hope I am right :)

kotegsom [21]3 years ago

3 0

(-4,4) down four over four rise over run hope that helps!! :)

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The sum of two numbers is 35.

LUCKY_DIMON [66]

Answer:

Larger number(x)=20

Step-by-step explanation:

They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.

The smallest number=35-x.

The larger number= x.

3 times the larger number=3x

4 times the smaller number=4(35-x)

Now, input it into an equation and solve:

3x=4(35-x) Distribute by multiplying 4 with 35 and x.

3x+4x=140-4x+4x Get 140 by itself by adding 4x.

7x/7=140/7 Divide.

x=20

Since x= the larger number, x=20.

8 0

3 years ago

What is the simplified form of the following expression? 2√27+√12-3√3-2√12

LiRa [457]

Answer:

√3

Step-by-step explanation:

The given expression to be simplified is

$2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}$

but

$2 \sqrt{27}=2\sqrt{9 \times 3}=2 \times \sqrt{9}\times \sqrt{3}=2 \times 3 \times\sqrt{3}=6 \sqrt{3}$

$\sqrt{12}=\sqrt{4\times3}= \sqrt{4}\times \sqrt{3}=2\sqrt{3}$

Since √12=2√3,this implies that,

$2\sqrt{12}=2\times2\sqrt{3}=4 \sqrt{3}$

Therefore,

$2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}=6\sqrt{3}+2\sqrt{3}-3 \sqrt{3} -4\sqrt{3}$

$=(6+2-3-4)\sqrt{3}$

$=\sqrt{3}$

The simplified form of ,

$2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}$ is √3

8 0

3 years ago

The subject of the formula is y.<br> y = 4x + 3<br> Rearrange the formula to make x the subject

zysi [14]

Answer:

Step-by-step explanation:

y = 4x + 3

To make x the subject send 3 to the other side of the equation

That's

4x = y - 3

<u>Divide both sides by 4 to make x stand alone</u>

$\frac{4x}{4} = \frac{y - 3}{4}$

We have the final answer as

$x = \frac{y - 3}{4}$

Hope this helps you

7 0

3 years ago

If a >b, then ac> bc true or false?

Verdich [7]

Answer:

False

Step-by-step explanation:

a>b

Let c> 0 then ac>bc because we are multiplying by a positive number

if c<0 then ac < bc because we are multiplying by a negative number we have to flip the inequality symbol

Since we do not know the value of c, we have to go with false

5 0

2 years ago

Suppose a company's revenue function is given by R(q) = - q^3 + 220q^2 and its cost function is given by C(q) = 500 + 13q, where

monitta

Answer:

A) MP(q) = -3q² + 440q - 13

B) 146.64 units.

Step-by-step explanation:

The profit function is given by the revenue minus the cost function:

$P(q) = R(q) - C(q)\\P(q) = -q^3+220q^2-500-13q$

A) The Marginal profit function is the derivate of the profit function as a function of the quantity sold:

$P(q) = -q^3+220q^2-500-13q\\MP(q) = \frac{dP(q)}{dq} \\MP(q)=-3q^2+440q-13$

B) The value of "q" for which the marginal profit function is zero is the number of items (in hundreds) that maximizes profit:

$MP(q)=0=-3q^2+440q-13\\q=\frac{-440\pm \sqrt{440^2-(4*(-3)*(-13))} }{-6}\\q'=146.64\\q'' = - 0.03$

Therefore, the only reasonable answer is that 146.64 hundred units must be sold in order to maximize profit.

4 0

3 years ago