Side length of square = 4.5 in
Perimeter of square=

Greetings from Brasil...

The expression that allows you to calculate the distance between two points is:

Bringing to our problem:

d(A; B) = √[(9 - 0)² + (14 - 2)²]

d(A; B) = √[9² + 12²]

d(A; B) = √[81 + 144]

d(A; B) = √[225]

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{ \frac{216}{175} }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{6}{5} \times \frac{9}{5} \times \frac{4}{7} }[/tex]

Multiply the numerators for the numerator and multiply the denominators for its denominator

⇒[tex] \sf{ \frac{6 \times 9 \times 4}{5 \times 5 \times 7} }[/tex]

⇒[tex] \sf{ \frac{216}{175} }[/tex]

Hope I helped!

Best regards!

Answer:

is the same X×Y,Y×X

that is the answer of your question

Answer:

Step-by-step explanation:

Given RS = 6y+2, ST=3y +7, and RT=13y-23, the vector formula is true for the equations given; RS+ST = RT

Om substuting the expression into the formula;

6y+2+3y +7 = 13y - 23

collect the like terms

6y+3y-13y+2+7+23 = 0

-4y+32 = 0

Subtract 32 from both sides

-4y+32-32 = 0-32

-4y = -32

y = -32/-4

y = 8

Since ST = 3y+7. we will substitute y = 8 into the exprrssion to get ST

ST = 3(8)+7

ST = 24+7

ST = 31

Similarly,

RT = 13y-23

RT = 13(8)-23

RT = 104-23

RT = 81

Hence y = 8, ST = 31 and RT = 81

Answer:

Step-by-step explanation:.66

66

Answer:

y = 4

Step-by-step explanation:

find full equation by plugging in P

y = mx + b

y = 6x + b

-5 = 6(2) + b

-5 = 12 + b

b = -17

y = 6x - 17

find y-value by plugging in x-value to equation

y = 6(3.5) - 17

y = 21 - 17

y = 4

Answer:

Option (4)

Step-by-step explanation:

Coplanar points-

If two or more points are in the same plane, points are called to be coplanar points. Three points in space are always coplanar.

Collinear points-

If two or more points are on a straight line, points are collinear.

Two points are always collinear.

From the diagram attached,

Points R,T,Q and S are neither coplanar nor collinear.

Therefore, Option (4) will be the answer.

Answer:

neither collinear nor coplanar

Step-by-step explanation:

Answer:

[tex]\angle A = 40^o[/tex]

Step-by-step explanation:

Notice that angle A is identified with the algebraic expression "7 + 3 x", while the other acute angle is identified with the expression "5 x - 5"

We know that the third angle is a right angle (90 degrees),

and also that the sum of the internal angles in a triangle must give 180 degrees, so we have:

[tex]\angle A + \angle B+ 90^o = 180^o\\(7+3\,x)+(5\,x-5)=180^o-90^o\\7+3\,x+5\,x-5=90^o\\8\,x+2 = 90^o\\8\,x=88^o\\x=11^o[/tex]

Now that we know x, we can give the answer for what angle A is:

[tex]\angle A= 7^o+3\,x\\\angle A =7^o+3\,(11^o)\\\angle A = 7^o+33^o\\\angle A = 40^o[/tex]

Answer:

1) [tex](f+g)(x)=2x^2+3x-6[/tex]

2) [tex](f-g)(x)=2x^2+x[/tex]

3) [tex](f \cdot g)(x)=2x^3-4x^2-9x+9[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=2x^2+2x-3\text{ and } g(x)=x-3[/tex]

And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).

1)

(f+g)(x) is the same to f(x)+g(x). Substitute:

[tex](f+g)(x)=f(x)+g(x)\\=(2x^2+2x-3)+(x-3)[/tex]

Combine like terms:

[tex]=(2x^2)+(2x+x)+(-3-3)[/tex]

Add:

[tex]=2x^2+3x-6[/tex]

So:

[tex](f+g)(x)=2x^2+3x-6[/tex]

2)

(f-g)(x) is the same to f(x)-g(x). So:

[tex](f-g)(x)=f(x)-g(x)\\=(2x^2+2x-3)-(x-3)[/tex]

Distribute:

[tex]=(2x^2+2x-3)+(-x+3)[/tex]

Combine like terms:

[tex]=(2x^2)+(2x-x)+(-3+3)[/tex]

Simplify:

[tex]=2x^2+x[/tex]

So:

[tex](f-g)(x)=2x^2+x[/tex]

3)

(f*g)(x) is the same to f(x)*g(x). Thus:

[tex](f\cdot g)(x)=f(x)\cdot g(x)\\=(2x^2+2x-3)(x-3)[/tex]

Distribute:

[tex]=(2x^2+2x-3)(x)+(2x^2+2x-3)(-3)[/tex]

Distribute:

[tex]=(2x^3+2x^2-3x)+(-6x^2-6x+9)[/tex]

Combine like terms:

[tex]=(2x^3)+(2x^2-6x^2)+(-3x-6x)+(9)[/tex]

Simplify:

[tex]=2x^3-4x^2-9x+9[/tex]

So:

[tex](f \cdot g)(x)=2x^3-4x^2-9x+9[/tex]

Answer:

-5

Step-by-step explanation:

(+5) × (-1) can also be written as (-1) + (-1) + (-1) +(-1) +(-1) which is -5

Answer:

16in

Step-by-step explanation:

Answer:

Height = 16 in

Step-by-step explanation:

C = Hypotenuse = the longer side of a triangle

A = Height

B = Base

=> a^2 + b^2 = c^2

=> a^2 + 30^2 = 34^2

=> a^2 + 900 = 1156

=> a^2 + 900 - 900 = 1156 - 900

=> a^2 = 256

=> Square root of a^2 = Square root of 256

=> a = 16

So, The Height of the triangle = 16 in.

Answer:

Just multiply 7*-1 which would equal -7

Step-by-step explanation:

see the attachment...............

see the attachment...........

Answer:

maybe the answer is umm 0.75?? hope that works

Answer:

0.8

Step-by-step explanation:

3/4 = 0.75

to 1d.p = 0.8

Answer:

40 + 2x ≥ 75

Step-by-step explanation:

X equals 18 or above. This means that in order to meet her goal of $75 dollars, Charlotte needs to schedule at least 18 appointments.

Answer:

A=

2x+40=75

B=

Charlotte would have to schedule 18 appointments.

First you have to subtract 40 from 75 which equals 35

Second you divide 35 by 2 which equals 17.5

Since Charlotte can't schedule 17 1/2 appointments so you round up to 18

Step-by-step explanation:

Answer:

[tex]$\frac{10}{9} $[/tex]

Step-by-step explanation:

[tex]$\frac{4}{9} -\left(-\frac{2}{3} \right)$[/tex]

[tex]$\frac{4}{9} +\frac{2}{3} $[/tex]

[tex]$\frac{4}{9} +\frac{6}{9} $[/tex]

[tex]$\frac{10}{9} $[/tex]

Answer:

31

Step-by-step explanation:

Answer: 31

Step-by-step explanation:

1. Multiply 28+6-12/4

2. Divide 28+6-3

3. Add 34-3

4. Subtract 31

Answer:

Solution : 3.6 miles

Step-by-step explanation:

The first step in solving this problem is to convert 15' to degrees --- (1) . 15' is represented as 15 minutes, so to convert to degrees we have 15 / 60 = 0.25°. Adding 20 + 15' we should get 20 + 0.25 = 20.25 (degrees).

Now remember that on the right side we have the football field, 62° 30'. Let's convert that 30' into degrees --- (2). 30 / 60 = 0.5, and 62 + 0.5 = 62.5.

Using both this information we can calculate the angle from the balloon to the horizontal. That would be 180 - 20.25 - 62.5 = 97.25°. Therefore the distance from the balloon to the soccer fields would be as follows,

distance / sin(62.5) = 4 / sin(97.25)

Let distance = x ...

x / sin(62.5) = 4 / sin(97.25),

x / 0.88701083317 = 4 / 0.99200494968,

x * 0.99200494968 = 4 * 0.88701083317,

x * 0.99200494968 = 3.548,

x = ( About ) 3.5766 miles

Given the options the distance from the balloon to the soccer fields would be 3.6 miles.

Answer:

System

Step-by-step explanation:

Answer:

12 (D)

Step-by-step explanation:

The first one is 2:1.2 so i did x10 on it to get 20:12.

The missing value in the table is 12 miles.

Option D is the correct answer.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 km = 1000 m

1 minute = 60 seconds

We have,

Kilometer    Miles

2                     1.2

7                     4.2

20                  12

30                  18

We see that,

2 km = 1.2 miles

Multiply 7/2 on both sides.

7  km = 7/2 x 1.2 miles

7 km = 4.2 miles

Multiply 20/ 7 on both sides.

20 km = 12 miles

Thus,

20 km is 12 miles.

Learn more about unit conversion here:

https://brainly.com/question/13899873

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Answer:

3.5cm

Step-by-step explanation:

Please see attached picture for full solution.

Volume of cylinder= πr²h, where r is the radius and h is the height.

Answer:

Negative = -100,000

Step-by-step explanation:

Simplify the following:

(-10)^5

Hint: | Determine the sign of (-10)^5.

(-10)^5 = (-1)^5×10^5 = -10^5:

-10^5

Hint: | 10^5 expands to the number one followed by 5 zeros.

10^5 = 100000:

Answer: -100000

Answer:

(10, - 6)

Step-by-step explanation:

P = (7, - 5)

T(P) = [x +3, y + (-1)]

T(P) = [7 +3, - 5+ (-1)]

T(P) = [7 +3, - 5 -1]

T(P) = (10, - 6)

The translated coordinates of the points  (7,-5) will be  (10, 2).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

The image point of (7,-5)after a translation right 3 units and down 1 unit will be,

= [(7+3), (3-1)].

= (10, 2).

learn more about translation here :

https://brainly.com/question/12463306

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Answer:

[tex]-\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]1\frac{5}{6}+\left(-2\frac{3}{4}\right)\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{5}{6}=\frac{11}{6}\\\frac{11}{6}+\left(-2\frac{3}{4}\right)\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{3}{4}=\frac{11}{4}\\\frac{11}{6}+\left(-\frac{11}{4}\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=\frac{11}{6}-\frac{11}{4}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}6,\:4:\quad 12\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\[/tex]

[tex]=\frac{22}{12}-\frac{33}{12}\\\\=\frac{22-33}{12}\\\\=\frac{-11}{12}\\\\=-\frac{11}{12}[/tex]

Answer:

121 tickets

Step-by-step explanation:

16x7+9=121

I hope this helps

Answer:

branch A is (-3,1)

and B is (3,4)

take minuses 4/7 am not sure lol

Answer:

The answer in 10.8