Which property of real numbers is illustrated by the equation (46 + 32) + 71 = 46 + (32 + 71)? *

Combine like terms in the expression below. 4x+4.44xy+22y+32y−19x+9.94

adoni [48]

Add the whole numbers, including the decimals, then the variables like y and x.

5 0

3 years ago

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Please help PLEASE HELP

alexdok [17]

Answer:

15. 17.5 ft

16. XZY ~ RPQ only

Step-by-step explanation:

15. The figure shows you the height of the object is 5/6 the length of its shadow. Then the height of the tree will be (5/6)·21 ft = 17 1/2 ft.

__

16. Triangles are similar when they have all the same angles. In the given triangles, you have ...

angle X = angle R = 32° . . . . (no corresponding angle in the third triangle)

angle Z = angle P = 64°

angle Y = angle Q = 84°

The triangle vertices need to be named in the order in which they correspond, so we can say, for example, ...

triangle XZY ~ triangle RPQ

5 0

3 years ago

A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

2 years ago

Solve for c: 2a+3b=c

maksim [4K]

Answer:

this is the most that you can factor it... is there anything more to the q?

7 0

3 years ago

What are 100.000 digits of pi

Blababa [14]

Answer:

3.14159265359.

Step-by-step explanation:

I just learned about this

hope it helps.

7 0

2 years ago

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