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3 years ago

Quadrilateral RSTU is a parallelogram. What must be the value of x?

1 answer:

5 0

Well, that's pretty easy. The main thing you need to know to solve this task is that since the opposite sides of a parallelogram are congruent,sides RS = TU.
Then we can find the value of x :
 $2x+5 = x + 16. 

x = 11$
I am sure that helps!

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Please help!

Ainat [17]

(x – h)^2 + (y – k)^2 = r^2

this equation is a derivative of the equation of a circle

x^2 + y^2 = r^2
This is from the origin. If we move the in x or y then the radius will change positions in x or y

with h = -3 and k = 1

we can plug in each set of numbers and solve.

we find Z to be on the circle edge!

8 0

3 years ago

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir

FromTheMoon [43]

The statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Given the equation of circle be $x^{2} +y^{2}-2x-8=0$ .

We are required to find the appropriate statements related to the equation $x^{2} +y^{2}-2x-8=0$ .

$x^{2} +y^{2}-2x-8=0$ can be written as under:

$x^{2} +y^{2} -2x+1-9=0$

$x^{2} +1^{2}-2x+y^{2} -9=0$

$(x-1)^{2}+y^{2}$ -9=0

$(x-1)^{2} +y^{2} =9$

$(x-1)^{2}+y^{2} =3^{2}$

Equation of a circle usually in the form $x^{2} +y^{2} =a^{2}$ in which a is radius.

From the comparison of both the equations we get that radius is 3 units.

From the equation point will be (1,0). It is on the x axis.

Hence the statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Learn more about radius at brainly.com/question/24375372

#SPJ1

3 0

1 year ago

How do I make a linear function, what is a linear function?

mixer [17]

Answer:

I have uploaded a picture so you could understand it a little more.

A linear function is when there is a table that gives numbers that represent a function, as shown in the picture.

In the Image, there is a table with a x and y column. And in both columns, there are numbers.

This is what the table looks like in the picture:

x y

0 4 The key is y = 2x + 4

1 6 <------ lets grab the number 1 in the x column and lets

2 8 multiply it by two. Now add four to it, and we will

3 10 have the number 6 in the y column.

4 12

I hope I helped you! God bless :-)

3 0

3 years ago

A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of

inessss [21]

That is an annuity and use the attached formula.

Total = 300 * [(1.055)^11 -1] / .055 -300
Total = 300 * 1.8020924036 -1 /.055 -300
Total = 300 * .8020924036 / .055 - 300
Total = 300 * 14.5834982473 -300
Total = 4375.0494741818 -300
Total = 4075.05

4 0

3 years ago

find the area of a right angle triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long

Lelu [443]

Answer:

30 cm^2

Step-by-step explanation:

a = 13 cm

b = 12 cm

using Pythagorean theorem:

a^2 = b^2 + c^2

--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25

--> c = √25 = 5

The area of that right triangle is:

S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)

6 0

2 years ago