Find the distance between points F(5, 3) and G(2, -7). Round to the nearest hundredth.

Answers

Answer 1

Answer:

10.44 units (nearest hundredth)

Step-by-step explanation:

Distance between 2 points

[tex] = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } [/tex]

Distance between F and G

[tex] = \sqrt{(3 - ( - 7))^{2} + (5 - 2)^{2} } \\ = \sqrt{ {(3 + 7)}^{2} + {3}^{2} } \\ = \sqrt{ {10}^{2} + 9 } \\ = \sqrt{109} \\ = 10.44 \: units \\ (nearest \: hundredth)[/tex]


Related Questions

Factor each Polynomial. 3x² + 28x + 32=

Answers

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{(3x + 4)(x + 8)}[/tex]

[tex]\text{Factor the polynomial:}\\3x^{2} +28x +32\\\\\text{Find two numbers that multiply into 32 and sum up to 28.}\\\text{Take into account the leading coefficient of 3:}\\\\\text{The numbers 4 and 8 work; arrange them so that they sum up to 28:}\\\\(3x + 4)(x + 8)[/tex]

Write y = 3x - 5 in function notation

Answers

Answer:

f(x) = 3x -5

Step-by-step explanation:

The equation for a line is already a type of function, so you simply replace y for f(x), g(x), or something similar to that

The function notation of y = 3x - 5 is

f(x) = 3x - 5.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = 3x - 5

Put y = f(x)

Where x is the input and f(x) is the output.

Thus,

f(x) = 3x - 5 is our function.

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Simplify 7N - 2N + 3P + 2P.

Answers

Answer:

5N+5P

Step-by-step explanation:

7N-2N=5N

3P+2P=5P

7n-2n=5n
3p+3p=6p
5n+6p

Which expressions are polynomials??

Answers

Answer:

Options (1) and (2)

Step-by-step explanation:

Properties of a polynomial,

1). A polynomial having division by a variable can't be defined as a polynomial.

  Example:

   (y² + [tex]\frac{x}{1+x}[/tex])

2). A polynomial can't have a negative exponent.

  Example : [tex](x^{-2}+y-6)[/tex]

3). Polynomials don't have the radicals.

  Example : y² + x√3

4). A polynomial can't have a fraction exponent.

   Example : [tex]x^2+x^{\frac{1}{2}}-1[/tex]

By these properties, Options (3) and (4) are not the polynomials.

Options (1) and (2) are the correct options.

Combine like terms to reach the top of the pyramid by clicking and dragging
the expressions into the correct spots. The 1st one is done for you.

Answers

Sorry answered for more points for more questions I'm so sorry.

any one single and i need help 50 times 6 dived by 30

Answers

Answer:

ahah yea and its 10 by the way

Answer:

heyyyyy :)    its 10

Step-by-step explanation:

Graphs of functions on the interval [0, 4] are depicted below. For each function, find its maximum and minimum values.

The maximum value is:

The minimum value is:

Answers

Answer:

To find the extremes, we must see the graph.

The maximum will be the value where the value of y is the greatest.

We can see that the graph peaks at y = 3.

Then the maximum is 3.

The minimum is the value of y that is the lowest.

We can see that in the left side, when x = 0, y takes the lowest value, y = -1

Then the minimum in the interval is -1.

The easier way to see maximum/minimum value is to look at the highest/lower value in the graph.

Which expression is equivalent to this polynomial expression?
(8x2y2 – 9x2y + 9y) – (6x2y – xy2 + 4y)

Answers

Answer: 8x2y2−15x2y+xy2+5y

Step-by-step explanation: option B or D i cant really see the screen, sorry

I’m only solving for x, it’s triangle mid-segment.

Answers

Step-by-step explanation:

Hey there!!

I hope you remember that mid-segment theorem, in which it is stated that, line which passes through the midpoint of one side triangle bisects base, are parallel to another side of triangle and that line is half of parallel side. (i.e CB = 1/2 of RT) .

Now, Let's simply solve it.

[tex]cb = \frac{1}{2} \times rt[/tex]

Put their values as given in question.

[tex]x + 19 = \frac{1}{2} \times (x + 29)[/tex]

Simplify them.

2x + 38 = x +29

2x - x = 29 - 38

x = -9.

Hope it helps...

Select the correct answer from each drop-down menu. cos2x-cos4x/sin2x+sin4x cos2x+cos4x/sin2x-sin4x

Answers

Select the correct answer from each drop-down menu.

cos2x-cos4x/sin2x+sin4x = tan x

cos2x+cos4x/sin2x-sin4x  = -cot x

The trigonometric equations have value tan x, -cot x .

What is a Trigonometric Ratios?

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

The trigonometric equation is

(cos 2x - cos 4x )/(sin2x +sin4x)

cos A + cos B =  - sin (A+B)/2 sin(A-B)/2

sin A - sin B = sin( A+B)/2 cos (A-B)/2

= (-sin 3x) sin ( -2x)/2)/( cos 3x cosx)

= sin 3x sin x/ (sin 3x) cos x

= tan x

The other equation is

(cos 2x +cos 4x)/(sin 2x- sin4x)

=  cos 3x cosx/ cos3x sin(- x)

= - cot x

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Quick I need help 3 to the 8th power divided by 3 to the 3rd power divided by 3 to the 4th power?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Lets start by solving what is in the parenthesis.

3^8 ÷  3^3

(6561  ÷  27) = 243

Lets finish solving the equation now that we have the quotient of what's in the parenthesis.

243 ÷  3^4

243 ÷  81

243 ÷  81 = 3

-8(7x+8)=-8x+34 i need help solving this equation .

Answers

Answer:

x = -49/24

Step-by-step explanation:

The first step in solving this equation is to use the distributive property to eliminate the parentheses on the left side of the equation.

-8(7x+8) = -8x + 34

-56x - 64 = -8x + 34

Next, we should add 8x to both sides of the equation.

-48x - 64 = 34

Next, we can add 64 to both sides of the equation.

-48x = 98

Finally, we can divide both sides of the equation by -48 to get the variable x alone on the left side of the equation.

x = -98/48 = -49/24

Therefore, the correct answer is -49/24.

Hope this helps!

What does 4 tens and 10 ones represent?

Answers

Answer:

50

Step-by-step explanation:

Step 1:

40 + 10

Answer:

50

Hope This Helps :)

solve for x in the following equation 4×/3=4 x=12,x=28,x=3,x=16​

Answers

Answer:

x= 3

Step-by-step explanation:

mark me brainliest :)

Answer: C. x = 3

Hope this helps!

what is y 5(y -10)=-5

Answers

Answer:

y=9

Step-by-step explanation:

5(y-10)=-5

We move all terms to the left:

5(y-10)-(-5)=0

We add all the numbers together, and all the variables

5(y-10)+5=0

We multiply parentheses

5y-50+5=0

We add all the numbers together, and all the variables

5y-45=0

We move all terms containing y to the left, all other terms to the right

5y=45

y=45/5

y=9

The value of y = 9 is correct. Therefore, the solution is y = 9.

To solve the equation 5(y - 10) = -5 for y, follow these steps:

Step 1: Distribute the 5 on the left side of the equation:

5y - 50 = -5

Step 2: Move the constant term to one side by adding 50 to both sides:

5y - 50 + 50 = -5 + 50

Step 3: Simplify the left side and evaluate the right side:

5y = 45

Step 4: Isolate y by dividing both sides by 5:

5y / 5 = 45 / 5

Step 5: Simplify and calculate y:

y = 9

The solution to the equation is y = 9. To verify, substitute y with 9 in the original equation:

5(9 - 10) = -5

5(-1) = -5

-5 = -5

Since both sides are equal, the value of y = 9 is correct. Therefore, the solution is y = 9.

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A package of 4 pairs of insulated gloves costs $31.16. What is the unit price of the pairs of gloves?
The unit price is $ per pair of gloves.

Answers

Answer:

$7.79 per pair of gloves

Step-by-step explanation:

divide

31.16÷ 4 = 7.79

(4x)(3z+y)+2x(3y+2z)=axz +bxy. Determine the values of a, b, and c

Answers

Answer:

a = 16

b = 10

In the equation from the question there's no value that you can determine for c.

Step-by-step explanation:

(4x)(3z+y)+2x(3y+2z)=axz+bxy12xz+4xy+6xy+4xz16xz+10xy

Common factors of 12 and 18​

Answers

Answer:

2,4,6,1,3

Step-by-step explanation:

Answer:

1,2,3,6

Step-by-step explanation:

Sides of a triangle are of the ratio 2:3:4. If the perimeter of the triangle is 90 cm, what is the area of the triangle?

Answers

Answer:

this might help you....

The area of a triangle with ratio of 2:3:4 and a perimeter of 90 centimeter is 290. 47 centimetre squared.

What is perimeter of a triangle?

The perimeter of a triangle is the sum of the whole sides of the triangle.

Therefore, the perimeter is given as follows:

perimeter = 90 cm

Hence, the sides can found as follows:

2 / 9 × 90 = 20 cm

3 / 9 × 90 = 30 cm

4 / 9 × 90 = 40 cm

Area = √s(s-a)(s-b)(s-c)

where

a, b and c are the sidess = semi perimeter

Hence,

s = 90 / 2 = 45

a = 20 cm

b = 30 cm

c = 40 cm

Therefore,

area of the triangle = √45(45 - 20)(45 - 30)(45 - 40)

area of the triangle =√45(25)(15)(5)

area of the triangle = √84375

area of the triangle = 290.473750966

area of the triangle = 290. 47 cm²

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4(2x + 9) = - 17+ 13

Answers

Answer:

x= -5

•use photomath it gives you answers to these kinds of math problems. hope this helped:))

One factor of the polynomial 6x3 − x2 + 8x + 5 is (2x + 1). What is the other factor of the polynomial? (Note: Use long division.)

Answers

Answer: (3x2 − 2x + 5)

Step-by-step explanation:

The other factor of the polynomial (3x+5) and (x-1).

What is long division method?

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too.

Given that, one factor of the polynomial 6x³-x²+ 8x+5 is (2x+1).

Using long division method, we get

2x+1|6x³-x²+8x+5|3x²+2x-5

    (-)6x³+3x²

_____________

          -4x²+8x+5

           4x²+2x

_____________

                 10x+5

                -10x-5

_____________

                     0

Now, the factors of quotient 3x²+2x-5 are

3x²+5x-3x-5

= x(3x+5)-1(3x+5)

= (3x+5)(x-1)

Therefore, the other factor of the polynomial (3x+5) and (x-1).

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What is the answer to X(x+7)

Answers

Answer:

[tex] \boxed{ \bold{ \boxed {\huge{ \sf{ {x}^{2} + 7x}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{x(x + 7)}[/tex]

Distribute x through the parentheses

[tex] \dashrightarrow{ \sf{x \times x + x \times 7}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ {x}^{2} + 7x}}}[/tex]

Hope I helped!

Best regards! :D

PLEASE HELP ASAP! URGENT!

Answers

You didn’t post the question
What’s the question?

Solve the quadratic equation.
x^2 = -8x - 7
A. {7, -1}
B. {-1, -7}
C. {8,1}
D. {7,1}
E. (-8, -1}

Answers

Answer:

B, (-1, -7)

Step-by-step explanation:

2. A pole casts a shadow that is 15 feet long. A 6-foot tall man casts a shadow that is 5 feet long.
What is the height of the pole?

14 feet
17 feet
12.5 feet
6 feet

Answers

Answer:

14

Step-by-step explanation:

5-6=1

15-1=14

Given A (-3,5) and B (6,7) find AB

Answers

Answer:2/9

Step-by-step explanation:

AB=[tex]\frac{7-5}{6+3}[/tex]

    =[tex]\frac{2}{9}[/tex]

Community Gym charges a $70 membership fee and a $70 monthly fee. Workout Gym charges a $200 membership fee and a $60 monthly fee. How many months will it take for the cost of both gyms to be the same? And what is the cost of the gyms during that number of months

Answers

Answer:

6 months

Step-by-step explanation:

2gallon container of window cleaner costs $15.04. What is the price per cup?

Answers

Answer:0.47 cents per cup

Step-by-step explanation:

Since they’re are 32 cups in 2 gallons, we can divide $15.04 by 32 and get the answer

Please helpp!! What are the steps for using a compass and straightedge to construct the bisector of ∠G? Two rays share a common endpoint labeled G, forming an obtuse angle. One ray is horizontal and points right. The second ray is inclined to horizontal in upward-left direction. Drag the steps and drop them in order from start to finish.

Answers

Answer:

Use the straightedge to draw GK−→−. Place the point of the compass on point H and draw an arc in the interior of the angle. Label the intersection of the arcs in the interior of the angle as point K. Place the point of the compass on point G and draw an arc that intersects the sides of ∠G.

Which situation is best modeled with a division expression? the total cost of 4 pints of strawberries that sell for $3 each the cost per pint of 3 pints of blueberries if the total cost was $6 the cost per pint of raspberries after applying a $1 coupon if the normal price was $3 each the total cost of a pint of blackberries that sells for $3 and a pint of cherries that sells for $4

Answers

Answer:

the cost per pint of 3 pints of blueberries if the total cost was $6

Step-by-step explanation:

This is the correct answer

I hope this helps you!

Answer:

C

Step-by-step explanation:

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