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4 years ago

Evaluate the following expression:

Mathematics

1 answer:

grigory [225]4 years ago

7 0

Answer:

5.25

Step-by-step explanation:

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It takes 1200 j of work to lift the car high enough to change a tire.how much work must be done by the person operating the jack

Law Incorporation [45]

Simply divide 1200 j by 25%

$1200 J / \frac{25}{100} = 1200 J * \frac{100}{25} = 4800 J$

The answer would be 4800 J

8 0

4 years ago

Center (8,9) and radius r=10

LekaFEV [45]

Answer:

A. Standard form: $(x-8)^2+(y-9)^2=100$

B. General form: $x^2+y^2-16x-18y+45=0$

Step-by-step explanation:

We have been given that center of a circle is at point (8,9) and radius of our circle is 10 units. We are asked to write the equation of our circle.

A. Since we know that the equation of a circle in standard form is: $(x-h)^2+(y-k)^2=r^2$ , where,

(x,y) = Any point on circle,

(h,k) = Center of the circle,

r = Radius of the circle.

Upon substituting our given values in standard form of circle's equation we will get,

$(x-8)^2+(y-9)^2=10^2$

$(x-8)^2+(y-9)^2=100$

Therefore, the equation of our given circle in standard form will be $(x-8)^2+(y-9)^2=100$ .

B. Since we know that equation of a circle in general form is: $x^2+y^2+Ax+By+C=0$ , where, A, B and C are constants.

Upon expanding our standard form of equation we will get,

$x^2-16x+64+y^2-18y+81=100$

$x^2-16x+64+y^2-18y+81-100=100-100$

$x^2-16x+y^2-18y+64+81-100=0$

$x^2-16x+y^2-18y+45=0$

$x^2+y^2-16x-18y+45=0$

Therefore, the equation of our given circle in general form will be $x^2+y^2-16x-18y+45=0$ .

7 0

3 years ago

Does anyone know how to explain this?

barxatty [35]

If it is I parenthesis then u multiply so here is an example f=4 x=1 then u could say 4×1=? and 3×4=? this is not an real answer it is just an example

7 0

3 years ago

Which of the following is an advantage to using equations?

VMariaS [17]

We are given some statements, we need to find which of the given statements is an advantage to using equations.

<h3><em>The correct option is </em></h3><h3><em>(A). When given two names for the same quantity, you can use algebra to solve the equations.</em></h3>

Incorrect options are :

(B). You can forget what an equation represents when it is used by itself.

(C). every problem needs an equations if you want to solve it.

3 0

4 years ago

The tree diagram below shows all of the possible outcomes for flipping three coins.

creativ13 [48]

The probability that two of the coins will be tails is 1/2

It is 1/2 because "at least two tails" means that two tails and the rest of the number of tails, which is 3. In total the three coins have 6 sides. The chance of having two tails and one is three out of 6, simplified is 1/2 ;)

8 0

4 years ago

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