4. A rectangle is a four-sided flat shape where every interior angle is a right angle.
Therefore, opposite sides are parallel and consecutive sides are perpendicular.
Rae is drawing rectangle PQRS on a coordinate plane. The rectangle has
coordinates P(-1,2), Q(2,4), R(x, y), and S(3,-4).

Answer:

[tex]GH=2\sqrt{10}[/tex]

Step-by-step explanation:

Considering each is square is 1x1.

We have the points G(-2, -3) and H(0, 3).

Using the distance formula:

[tex]$d=\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$[/tex]

[tex]$d=\sqrt{(-2 - 0)^2 + (-3 - 3)^2}$[/tex]

[tex]$d=\sqrt{(-2 )^2 + (-6)^2}$[/tex]

[tex]$d=\sqrt{4 +36}$[/tex]

[tex]d=\sqrt{40}=2\sqrt{10}[/tex]

Also, using the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

[tex]2^2+6^2=c^2[/tex]

[tex]4+36=c^2[/tex]

[tex]c=GH=\sqrt{40}=2\sqrt{10}[/tex]

Answer:

The square root of 5 is 2.2360679775

Answer:

y=6x+p

Step-by-step explanation:

Answer:

6p= c bc each pound cost $6 so if u have p pounds, 6p would equal to the cost or c

Answer:

B

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

X/2-5=25

Add 5 to each side

X/2-5+5=25+5

x/2 = 30

Multiply each side by 2

x/2*2 = 30*2

x = 60

Answer:

60

Step-by-step explanation:

x/2 - 5 =25 /×2

x - 10 =50

x=50 +10

x=60

Answer:

Tanya is 18 years old.

Step-by-step explanation:

In order to determine this, we assume the following

x =  tens digit of the age of Tanya, and also the hundreds digit of Tanya's great-grandfather age

y = units digit of the age of Tanya, and also the units digit of Tanya's great-grandfather age

Therefore, we have:

10x + y = (1 / 6) * (100x + y)

Multiply both sides by 6, we have:

[10x + y] * 6 = [(1 / 6) * (100x + y)] * 6

60x + 6y = 100x + y

Collect the like terms, we have:

6y - y = 100x - 60x

5y = 40x

Divide through by 5, we have:

y = 8x

That is,

8x = y

Note that x and y has to be single digits. This can only be obtained only when x = 1 and y = 8. And given how x and y is defined above, we have:

The age of Tanya = 18

This can be verified as follows:

18 = 108 / 6

18 * 6 = 108

108 = 108

Therefore, Tanya is 18 years old.

Answer:

$1,423.08

Step-by-step explanation:

[tex]\frac{37000}{26} = 1,423.076[/tex] rounded to the nearest cent it becomes 1,423.08.

*Remember that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.

The biweekly salary, rounded to the nearest cent is 1,423.08.

It is required to find the solution.

A number that is easily multiplied, divided, etc., and especially a number that ends in zero.

Given :

Christina is paid biweekly. Her annual salary is 37,500.

According to given question we have,

We know that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.

37500/26=1423.076

Rounded to the nearest cent it becomes 1,423.08.

Therefore, the biweekly salary, rounded to the nearest cent is 1,423.08.

Learn more about rounded number here:

brainly.com/question/17561230

#SPJ6

Answer: counterclockwise rotation of 90° and a reflection over y axis

Step-by-step explanation:

Answer:

  2)  c)  (x-3)² + (y+2)² = 25

  5)  x^2 +y^2 -8x -16y +54 = 0

  6)  x^2 +y^2 -10x -12y +36 = 0

Step-by-step explanation:

2) The standard form equation for a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

You are given the center: (h, k) = (3, -2) and a point on the circle. So, the equation will be ...

  (x -3)^2 +(y +2)^2 = r^2

Since we know a point on the circle we know that ...

  (7 -3)^2 +(1 +2)^2 = r^2 = 16 +9 = 25

So, the circle's equation is ...

  (x -3)^2 +(y +2)^2 = 25 . . . . . matches choice C

__

5) As in the previous problem, the standard form equation is ...

  (x -4)^2 +(y -8)^2 = (-1-4)^2 +(7-8)^2 = 25+1 = 26

To put this in general form, we need to subtract 26 and eliminate parentheses.

  x^2 -8x +16 +y^2 -16y +64 -26 = 0

  x^2 +y^2 -8x -16y +54 = 0

__

6) A circle tangent to the y-axis will have a radius equal to the x-value of the center point.

  (x -5)^2 +(y -6)^2 = 5^2

  x^2 -10x +25 +y^2 -12y +36 = 25

  x^2 +y^2 -10x -12y +36 = 0

Answer:Slope:  − 2 y-intercept:  ( 0 , 5)x 0 5/2 y 5,0

Step-by-step explanation:

Symmetrical functions can be about the x and y axis. Essentially, if we reflect the graph across the y or x axis, we get the same graph. Some other graphs can be reflected across both the x and y axis at the same time and be symmetrical. These can be classified as odd and even functions. You can test this by replacing x and y with -x and -y and simplify the equation. If the results comes out to be the same as the original, it is symmetrical across the origin.

Best of Luck!

Answer:

a shape that has reflective symmetry either x or y axis of origin.

in other words...  it's a mirror image.

Answer: 1= ( 13 + 4g )

2= ( 4(10) + 13 )

3= ( 13 + 4(10) )

4= ( 53 )

5= ( 21 )

Step-by-step explanation:

The equivalent expression by cumulative property is,

                    [tex]4g+13=13+4g[/tex]

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

                      [tex]a+b=b+a[/tex]

Given expression is,  [tex]4g+13[/tex]

The equivalent expression by cumulative property is,

                    [tex]4g+13=13+4g[/tex]

For [tex]g=10[/tex],    

                    [tex]4(10)+13=13+4(10)\\\\40+13=13+40\\\\53=53[/tex]

Learn more about the  commutative property here

https://brainly.com/question/2475734

Answer:

x = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Given

3x + 2 = 6 ( subtract 2 from both sides )

3x = 4 ( divide both sides by 3 )

x = [tex]\frac{4}{3}[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1.33}}}}}[/tex]

Step-by-step explanation:

[tex] \star \sf \: \: {3x + 2 = 6}[/tex]

[tex] \text{ \sf{ Step 1}}[/tex] : Move 2 to right hand side and change it's sign

[tex] \longmapsto{ \sf{3x = 6 - 2}}[/tex]

[tex] \text{ \sf{  Step \: 2 \: }}[/tex] : Subtract 2 from 6

[tex] \longmapsto{ \sf{3x = 4}}[/tex]

[tex] \text{ \sf{ Step \: 3}}[/tex] : Divide both sides by 3

[tex] \longmapsto{ \sf{ \frac{3x}{3} = \frac{4}{3} }}[/tex]

[tex] \text{ \sf{ Step \: 4 \: }}[/tex] : Calculate

[tex] \longmapsto{ \sf{x = 1.33}}[/tex]

The value of x is 1.33

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

[tex]I=\frac{p-2w}{2}[/tex]

Step-by-step explanation:

[tex]p=2I+2w\\\\p-2w=2I+2w-2w\\\\p-2w=2I\\\\\frac{p-2w}{2}= I[/tex]

Answer:

a.  -1, 1

b.  2, 7

c.  1, 1

Answer:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Step-by-step explanation:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Simple Example:

3x+3y=12

Substitute 0 as y,

3x+0=12

3x=12

12/3=4

x=4

Now substitute 4 into the main equation,

3(4)+3y=12

12+3y=12

-12      -12

3y=0

0/3=0

y=0

So the answer is

3(4)+3(0)=12

12=12

Answer:

yes

Step-by-step explanation:

you are correct

Answer/Step-by-step explanation:

[tex]16-7=9[/tex]

Therefore [tex]y\geq9[/tex]

There was no picture to go off of, but this should be correct anyways!

Answer:

Kith means becoz i am from India

Answer:

Deena drove 65 miles in 1 hour

Step-by-step explanation:

hope it helps

Answer:

4 hours

Step-by-step explanation:

Distance / Velocity = Time

In this case, 8 / 2 = 4

Answer: I need help on this tooooooo

Step-by-step explanation:

Answer:

Yes. The term [tex]\sqrt{}[/tex] means "square root".

If there is a number beside the symbol, for example [tex]\sqrt[3]{}[/tex], this means to cube root. But if there is no number, it just simply means square root.

Answer:

Step-by-step explanation:

et A=120°

and B=5Pi /6

Pi radians ---------> 180°

  x<----------------------- 120°

so x =120 x Pi / 180 = 12 xPi / 18 = 2 Pi/3

so A = 2Pi / 3 radian  

let 's compare A and B

we know that 5Pi /6 = 0.8 Pi and  2P/3= 0.6 Pi, 0.8>0.6,  

finally 5Pi /6 > 2P/3

so B>A

Answer:

Step-by-step explanation:

C = 5(68 - 32)/9

   = 5(36)/9

    = 180/9 = 20

C = 20

Answer:

  b.  4.4 hours

Step-by-step explanation:

We can use the conversion factor 1 mi/h = 22/15 ft/s. The required relation is ...

  time = distance/speed

  [tex]\dfrac{30\text{ mi}}{\left(\dfrac{150\text{ ft}}{15\text{ s}}\right)}\times\dfrac{\left(\dfrac{22\text{ ft}}{15\text{ s}}\right)}{\left(\dfrac{1\text{ mi}}{1\text{ h}}\right)}=\dfrac{(30)(22)\text{\h}}{150}\text{ h}=4.4\text{ h}[/tex]

Assuming Kyle can keep up the pace for that distance, it would take him 4.4 hours to run 30 miles.

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]3x+5=14[/tex]

Subtract 5 from both sides:

[tex]3x+5-5=14-5[/tex]

[tex]3x=9[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{9}{3}[/tex]

[tex]x=3[/tex]