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3 years ago

The sum of two numbers is 4 and their difference is -10. What are the numbers

Mathematics

1 answer:

Anit [1.1K]3 years ago

7 0

Answer:

-3 and 7

Step-by-step explanation:

4 -(-10) = 14

14÷2=7(largest no.)

7-10=-3(smallest no.)

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Find an equation in rectangular coordinates for the cylindrical equation r = 2sintheta

frutty [35]

Answer:

$x^2+(y-1)^2=1$

Step-by-step explanation:

The given cylindrical equation is

$r=2\sin \theta$

Multiply both sides by r.

$r^2=2r\sin \theta$ .... (1)

The required formulas are

$x=r\cos \theta,y=r\sin \theta,r^2=x^2+y^2$

Substitute $r\sin \theta =y,r^2=x^2+y^2$ in equation (1).

$x^2+y^2=2y$

$x^2+y^2-2y=0$

Add 1 on both sides.

$x^2+(y^2-2y+1)=1$

$(x-0)^2+(y-1)^2=1^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

It is the equation of a circle centered at (0,1) with radius 1.

Therefore, the equation in rectangular coordinates is $x^2+(y-1)^2=1$ .

3 0

3 years ago

Find the value of X. Write your answer in simplest form. What does X equal?

drek231 [11]

Given:

Given that the figure of similar triangles.

The altitude of the triangle is x.

The length of the left part is 30.

The length of the right part is 15.

We need to determine the value of x.

Value of x:

The value of x can be determined using the geometric mean theorem.

Thus, we have;

$\frac{\text { left }}{\text { altitude }}=\frac{\text { altitude }}{\text { right }}$

Substituting the values, we have;

$\frac{30}{x}=\frac{x}{15}$

Cross multiplying, we get;

$30 \times 15= x^2$

$450=x^2$

Taking square root on both sides, we have;

$15 \sqrt{2}=x$

Thus, the value of x is 15√2

7 0

3 years ago

Find the value of x.

nadya68 [22]

Answer:

127 degrees

Step-by-step explanation:

1. Find the angle next to "x" using the fact that all the angles in a triangle add to 180 degrees.

180-30-97 = 53

2. Angle X and the angle that is 53 degrees are supplementary meaning they will add to 180 degrees since it's on a line

180-53=57

Hope this helped :)

3 0

3 years ago

Find the value of x in the parallelogram

lord [1]

Answer:

72 = x

Step-by-step explanation

154 is one of the degrees for that angle. And I seen 82 for the other one.

All you have to do is subtract 154 and 82 and you get 72.

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2 years ago

From measurements in a microscope, you determine that a certain bacterium covers an area of 1.50 μm2. Convert the area into squa

NemiM [27]

So the problem ask to find and convert the area into square meters. So to convert is you must do the cross multiplication process that could cancel out unit and made the answer into a square meter, so the answer would be 1. x10^-12m^2. I hope you are satisfied with my answer and feel free to ask for more

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3 years ago