1 point
What is the center and radius of a circle with equation (x-4)2 + (y - 2)2 = 4

Answer:

Perimeter of trapezoid = 25.66 cm

Step-by-step explanation:

Trapezoid ABCD contains two triangles ΔABF, ΔCDE and a square with side length 4 cm.

By applying Pythagoras theorem in ΔABF,

AB² = BF² + AF²

AB² = 4² + 3²

AB = [tex]\sqrt{16+9}[/tex]

AB = 5 cm

Similarly, By applying Pythagoras theorem in ΔCDE,

CD² = DE² + CE²

CD² = 4² + 4²

CD = [tex]\sqrt{32}[/tex]

CD =5.66 cm

Perimeter of the given trapezoid = AB + BC + CD + AD

= 5 + 4 + 5.66 + (3 + 4 + 4)

= 25.66 cm

Answer:

A

Step-by-step explanation:

A cannot be split in half evenly :)

Answer:

a

Step-by-step explanation:

it's always looking and you can make two different shapes

Answer: 1/4 of a mile

Step-by-step explanation: 1/3 × 3/4

Answer:

-12/4

Step-by-step explanation:

Use the slope formula

y2-y1. -8-4

---------- ______ = -12/4

x2-x1. 3-(-1)

Answer:

intergers

square root of 14 = 3.74

integer is 4

nearest tenth is 3.7

square root of 90 =9.49

interger = 9

nearest tenth =9.5

square root of 175 =13.23

interger =13

nearest tenth =13.2

Answer:

D

Step-by-step explanation:

Answer:

1st pic:

x = 60

y = 50

2nd pic:

y = 8

∠W = 28

∠Y = 128 degrees

∠X = 24

Step-by-step explanation:

first pic:

to find x, subtract 120 from 180 ⇒ 180 - 120 = 60

to find y, add 60 & 70 & subtract the sum from 180 ⇒ 180 - (60 + 70) = 50

2nd pic:

to find ∠Y, subtract 52 from 180:

180 - 52 = 128

to find y, use the following equation:

3y + 4y - 4 + 128 = 180

combine like terms:

7y + 124 = 180

subtract 124 from each side:

7y + 124 - 124 = 180 - 124

7y = 56

divide 7 on both sides:

[tex]\frac{7y}{7} = \frac{56}{7}[/tex]

y = 8

now we can find angles W and X

∠W = 4y - 4

we know that y = 8 so just substitute 8 for y

∠W = 4 x 8 - 4

∠W = 28

∠X = 3y

likewise, subtitute 8 for y

∠X = 3 x 8

∠W = 24

to check, add all angles and if they add up to 180, then its right:

24 + 28 + 128 = 180

180 = 180

Step-by-step explanation:

here's your solution

=> for first figure , (x + 120° ) = 180° [ linear pair]

=> x = 180° - 120°

=> x = 60°

=> now , we know sum of all angles of traingle = 180°

= >so, 60° + 70° + y = 180°

=> y= 180° - 130°

=> y = 50

now in figure second

=> 4y - 4 + 3y = 52° [ exterior angle equal to sum of two opposite interior

=> 7y - 4 = 52°

=> 7y = 52° + 4°

=> 7y = 56°

=> y = 56°/7

=> 8°

hope it helps

Answer:

4/5

Step-by-step explanation:

Ok so you have 2 pies.

You can cut into quarters which is 4 slices in 1 pie.

Than you can do 4 slices x 2 pies which means you have 8

Answer:

See solution below

Step-by-step explanation:

Standard equation of a line in point slope form is expressed as y-y0 = m(x-x0)

m is the slope

c is the intercept

Fr the equation 3x+y = 17

y = -3x+17

m = -3

Given the point (4,8)

The equation of the line is expressed as;

y - 8 = -3(x-4)

y - 8 = -3x + 12

y + 3x = 12+8

y+3x = 20

This gives the required equation

For the equation y = 2x + 13

Slope m = 2

Since the line is perpendicular to the unknown line;

M = -1/2

Given the point (2, 3)

Get the equation

y - 3 = -1/2(x - 2)

2(y-3) = -(x - 2)

2y-6 = -x+2

2y+x = 2 + 6

2y+x = 8

This gives the required equation

Answer:

12/16, 6/8, 15/20, 24/32

Step-by-step explanation:

Because to find the equivalents, you have to multiply/ divide the numerator and the denominator with the same number.

Answer:

Step-by-step explanation:

Angles QPS and QRS are supplementary as opposite angles of a cyclic quadrilateral.

Supplementary angles sum to 180°.

Correct choice is A

Answer:

3.5

7 divided by 50=3.5

3.5x2=7

Step-by-step explanation:

Answer:

24cm3

Step-by-step explanation:

Answer:

Its 0 because thats the only value not bigger than 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Any value to the left of 4 is a solution to x < 4

The only value on the list that is left of 4 is 0 → B

Answer:

Step-by-step explanation:

5x  + y = 11 -------------------(I)

3x - y = 9 -----------------(II)

Add equation (I) & (II)

   5x + y = 11

   3x - y = 9        {add and y will be eliminated and we'll get the value of x}

  8x       = 20

          x = 20/8

         x = 2.5

Plugin x = 2.5 in equation (I)

5*2.5 + y = 11

 12.5  + y = 11

            y = 11 - 12.5

            y = -1.5

After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .

We have,

[tex]5x + y = 11[/tex]   [tex].......... (i)[/tex]

[tex]3x - y = 9[/tex]   [tex]...........(ii)[/tex]

To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],

[tex]15x + 3y = 33[/tex]   [tex]..........(iii)[/tex]

[tex]15x -5y = 45[/tex]   [tex]..........(iv)[/tex]

Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,

We get,

[tex]8y=-12[/tex]

[tex]y=-\frac{3}{2} =1.5[/tex]

Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,

[tex]5x+(\frac{-3}{2} )=11[/tex]

[tex]x=\frac{5}{2} =2.5[/tex]

So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.

Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

To know more about equations click here

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Answer:

-9 < -1

Step-by-step explanation:

-9 is a lesser value than -1. On the number line, -9 appears more so to the left than -1.  

9514 1404 393

Answer:

  x° = 29°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relationships. Here, you have the hypotenuse and the side opposite the unknown angle. So, the appropriate relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 12/25

  x° = arcsin(12/25) ≈ 28.69°

The value of x is about 29.

Answer:

[tex] - 11 \frac{1}{2} [/tex]

Step-by-step explanation:

8x + 5y = 7

4x - 5y = 11

If you all it all up we have

8x + 4x +5y - 5y = 18

12x=18

x=18/12=1.5=3/2 = 1 whole number 1 over 2(1 1/2)

subtituting the value of x into equation 1(8x + 5y = 7)

8(1.5) + 5y = 7

5y=7-12

5y = -5

y=-5/5

y= -1

Answer:

4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

distribute 1/2 into 2x and 4, if both sides match then its infinitely many solutions !

Answer:

3 c  3 3 3 33  3 the 3 one

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.8 x 10^3

Answer:

2.8x×10³

Step-by-step explanation:

Answer: y = 3

Step-by-step explanation:

Any horizontal line parallel to the x-axis has a zero slope. The horizontal line passing through (-2 ,3) has equation y = 3 as it passes through all points in the plane with a y-coordinate of 3, as may be seen in the graph

Answer:

8 and 9

Step-by-step explanation:

Find the 2 perfect square either side of 72 , that is

64 < 72 < 81 , then

[tex]\sqrt{64}[/tex] < [tex]\sqrt{72}[/tex] < [tex]\sqrt{81}[/tex]

8 < [tex]\sqrt{72}[/tex] < 9

Answer:c=2 √1129 or c=−2 √1129

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

c^2=4516

Step 2: Take square root.

c=±√4516

c=2√1129 or c=−2√1129