What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and 5x-2y=6

Answer:

Yes, it lies on the circle.

Step-by-step explanation:

The actual question is:

"Prove or disprove that the point (√51, 7) lies on the circle centered at the origin and containing the point (6, 8)."

The equation of a circle of radius R and centered at the point (a, b) is:

(x - a)^2 + (y - b)^2  = R^2

In this case we have a circle centered at the origin, then: (a, b) = (0, 0)

And the equation becomes:

(x - 0)^2 + (y  - 0)^2 = R^2

x^2 + y^2 = R^2

We also know that this circle contains the point (6, 8), then we can find the radius of our circle if we replace x by 6 and y by 8.

6^2 + 8^2 = R^2

100 = R^2

√100 = 10 = R

Then the circle equation is:

x^2 + y^2 = 10^2

Now let's see if the point (√51, 7) is a solution of the above equation:

(√51)^2 + ( 7)^2 = 10^2 = 100

51 + 49 = 100

100 = 100

This is true, so we can conclude that (√51, 7) is a solution of the circle equation, so the point lies on the defined circle.

Answer:

Step-by-step explanation:

Answer:

solution given:

let hammers be H

now

an expression the hardware store could use to represent the number of hammers it sold in June is 2H-5

Answer:

y = x^2 i think

Step-by-step explanation:

graph{y=3x-2 [-10, 10, -5, 5]}

Explanation:

This equation is in the form

y

=

m

x

+

b

so the line is linear.

To graph this equation, all you have to do is figure out two things, the slope and the y-intercept.

The 3x is the slope and -2 is the y-intercept

Answer:

10 sides

Step-by-step explanation:

Deca means 10 (decameter/decahedron/decagon)

Answer: 10 sides

Step-by-step explanation:

There are a list of suffixes for a "-gon"

- Pentagon=5 sides

- Hexagon=6 sides

- Heptagon=7 sides

- Octagon=8 sides

- Nonagon=9 sides

- Decagon=10 sides

- Hendecagon=11 sides

- Dodecagon=12 sides

Therefore, if the polygon is a decagon, then it has 10 sides

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(x + 10)^2

Step-by-step explanation:

*It helps to draw a diagram for these types of questions

Side length of photograph: x + 8

Width of frame: 2 in.

Area of a square: s^2

A = ((x + 8) + 2)^2

= (x + 10)^2

Therefore the area of the photograph with the frame is (x + 10)^2

Answer:

Step-by-step explanation:

Area of the picture:

Side of the photograph with the frame:

Area of the frame:

or

Answer:

4 is the answer

0.25*16 = 4

Step-by-step explanation:

product means multiplication..

what grade level is this?

Have a nice day!

Answer:

My dog getting smacked allot by my cat ( my cat was bullying my dog all day XD) 1 thanks = one less smack for the dog lol

Step-by-step explanation:

Me kat (cat) was mewing all day. Me go to market to buy his favourite food (fish).Me comes home. Me takes time to prepare fish. Me gives kat fish. He throw away fish and insult me with some more mews

Answer:

C  ( 9 , 15)

Step-by-step explanation:

Answer:

56.556 square inches

Step-by-step explanation:

Surface area of an open cylindrical pipe is = πdh

3.142 × 1 × 18 = 56.556

Answer:

Option B

On adding the first and second equations y can be eliminated

Step-by-step explanation:

The two equations are as follows

3x + 5y = 18 -- Eq (1)

6x − 5y = 20 -- Eq (2)

Adding equation 1 and 2, we get -

3x + 6x + 5y -5y = 18

9x = 18

x = 2

y = (18-3*2)/5

y = 12/5 = 2.4

Answer:

.

Step-by-step explanation:

Answer:

1.73, 2.24, 3 1/7,4

Step-by-step explanation:

You do the whole numbers  first, and then the decimal or fraction.

Answer:

5525

Step-by-step explanation:

Using the formula with n = 25 , then

[tex]\frac{25(26)(50+1)}{6}[/tex]

= [tex]\frac{25(26)(51)}{6}[/tex]

= [tex]\frac{33150}{6}[/tex]

= 5525

Answer:

5/2

Step-by-step explanation:

Answer:

Im lost what is this

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

a+b-c

20+47-24

67-24

43

Answer:

e

Step-by-step explanation:

Answer:

a) 22.6

b) 23

Step-by-step explanation:

a)

Step 1: 18 + 9 + 7 + 35 + 30 + 21 + 33 + 12 + 30 + 31 = 226

Step 2: 226/10 = 22.6

b)

Step 1: 226+27 = 253

Step 2: 253/11 = 23

Réponses:

1. pour calculer la distance OF on va utiliser tout simplement le théorème de pythagore

OF = √(68²+51²)

OF = √(4624+2601)

OF = √(7225)

OF = 85 mm

2. étant donné que la cible n'est pas atteinte si la pointe de la flèche est sur le bord, et on sait que le rayon de la cible est 100

donc la distance OF ne doit pas dépasser le nombre 100

OF < 100

3. la suite de la question trois n'est pas affichée malheureusement!

bonne journée ^^

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

Write a rule to describe the transition of a point from (-3,3) to (-2,2)

In the answers, we see that the rule must be formatted as:

(x,y) ⇾ (x _ 1, y _ 1)

Soo . .  we take the first x (-3) and the second x (-2) and try the 2 methods:

-3 - 1 = -4

-3 +1 = -2

So we see that the first one has to + 1

Here's the rule so far.

(x,y) ⇾ (x + 1, y _ 1)

Next, take the first y (3) and the second y (2) and repeat the 2 methods:

3 + 1 = 4

3 - 1 = 2

Here we get that we have to - 1

Therefore, the rule to describe the transition of a point from (-3,3) to (-2,2) is:

(x,y) ⇾ (x + 1, y - 1)

Which is option 4 or D.

Hope this helps you understand a bit better! =)

Answer:

13

Step-by-step explanation:

500(x-3)=5000

500x-1500=5000

500x=5000+1500

500x=6500  /:500

x=13

Answer:

13

Step-by-step explanation:

cuz

13-3=10

10x500=5000

Answer:

The answer is 50.24

Step-by-step explanation:

Equation is: 3.14 times 4²

Radius is 1/2 the diameter

Answer:

45 cans

Step-by-step explanation:

To find the volume of a cylinder, we need to find the area of the cross section, which in this case is π(radius)², and multiply it with the height of the cylinder

This means the pot has a volume of:

- pot has radius of 7.5in. as diameter is 2 x radius

π x (15/2)² x 11 = 618.75π in.³

The soup can has a volume of:

- soup can has radius of 1.5in. as diameter is 2 x radius

π x (3/2))² x 6 = 13.5π in.³

Divide the volume of the pot by the volume of the can to get how many cans of soup will it take to fill the pot:

618.75π in.³ ÷ 13.5π in.³ = 45.833... cans

The question states you need to round to nearest can which would be 45 cans, but personally, I thought you would always round up as 45 cans won't fill up the whole pot, but it's up to the question.

Answer:

7.

area of parallelogram=base×height=19×7.8=148.2yd²

8.

area of semi circle=1/2[π(d/2)²]=

π×44²/8=760.265in²

9.

area of rectangle =length ×breadth

=16.4×11.8=193.52ft²

10.

area of triangle =1/2 ×base×height=1/2×20.4×14.6=148.92in²

Area of the given shapes are:

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, Four shapes and we need to calculate the area.

For parallelogram:

area of parallelogram = base×height

area of parallelogram = 19×7.8 = 148.2yd²

For, Semicircle:

area of semi circle= 1/2 [π(d/2)²]

area of semi circle= π×44²/8 = 760.265 in²

For Rectangle:

area of rectangle = length ×breadth

area of rectangle = 16.4×11.8 = 193.52 ft²

For triangle:

area of triangle = 1/2 ×base×height

area of triangle = 1/2×20.4×14.6 = 148.92in²

Learn more about Area here:

https://brainly.com/question/27683633

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Answer:

Step-by-step explanation:

find sin x/2 in radians, given that sinx =1/4 and x terminates in 0 less than x less than pi/2

✓ sinx=1/4=opp side/hypotenuse adj side=√(4^2-1^2)=√(16-1)=√15 cosx=√15/4 sin x/2=√[(1-cosx)/2]=√[(1-√15/4)/2] .. calculator check: sinx=(1/4

The value of sin x/2 for sin x=1/4 and 0 is 0.124 and 0 respectively.

Given that, sin x=1/4 and 0.

We need to find sin x/2.

The sin formula is given as sin θ = Perpendicular / Hypotenuse.

Now, for sin x=1/4

sin 1/4/2=sin 1/8=0.124

=0.124

For sinx=0

sin 0/2=0

Hence, the value of sin x/2 for sin x=1/4 and 0 is 0.124 and 0 respectively.

To learn more about sine visit:

https://brainly.com/question/16853308.

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Answer:

45 inches

Step-by-step explanation:

C = (pi)(diameter).

Assuming that the radius of the pizza in this case is 7 inches, the diameter is twice that, or 14 inches.

Thus, the circumference of the pizza is C = (3.14)(14 inches) = 45 inches

approximately.