Determine the equation of the circle graphed below.

Answer:

x = -18

y = 4

Step-by-step explanation:

x + y = 4

2x + 3y = 30

You can do any math operation to each side of the equal sign as long as you do the same operation to both sides.

change x + y = 4       to        x = 4 - y  

Now substitute (4 - y) into the second equation, in place of x.

2(4-y) + 3y = 30

multiply the 2(4-y) part:

8 -2y + 3y = 30

simplify:

8 + y = 30

subtract 8 from each side:

y = 22

now substitute the value of y back into the first equation to solve for x:

x + 22 = 4

subtract 22 from both sides:

x = -18

Check:

x + y = 4

22 -18 = 4  

4 = 4       (this checks)

2(-18) + 3(22) = 30

-36 + 66 = 30

30 =30     (this checks also)

PS: you could have solved for y first if you had wanted to. The results would be the same.

Let's simplify step-by-step.

−7x2−6x+9−7x2−6x+9

=−7x2+−6x+9+−7x2+−6x+9

Combine Like Terms:

=−7x2+−6x+9+−7x2+−6x+9

=(−7x2+−7x2)+(−6x+−6x)+(9+9)

=−14x2+−12x+18

Answer:

=−14x2−12x+18

Let's simplify step-by-step.

−3x2−x+7−3x2−x+7

=−3x2+−x+7+−3x2+−x+7

Combine Like Terms:

=−3x2+−x+7+−3x2+−x+7

=(−3x2+−3x2)+(−x+−x)+(7+7)

=−6x2+−2x+14

Answer:

=−6x2−2x+14

Answer: -10x^2-7x+16

Step-by-step explanation: (-7x^2-6x+9)+(-3x^2-x+7)  

-7x^2-6x+9-3x^2-x+7

Nothing to distribute.

Combine like terms:

Final Answer: -10x^2-7x+16

Answer: B i guess

Step-by-step explanation:

The hypotenuse side XY of given right angle at Z is [tex]5\sqrt{2}[/tex].

Given that in triangle XYZ :

∠X=45°

∠Y=45°

XY=5

And right angled at Z, that is, ∠Z=90°.

Since, ∠X=∠Y=45°

Therefore, XZ=YZ=5

Now,

[tex]\sin \theta = \dfrac{hypotenuse}{opposite}[/tex].

Here, θ=45°.

Therefore,

[tex]\sin \theta=\dfrac{5}{XY}\\\\\sin 45\°^=\dfrac{5}{XY}\\\dfrac{1}{\sqrt{2} } =\dfrac{5}{XY}\\\\XY=5\sqrt{2}[/tex]

Thus, the side XY=[tex]5\sqrt{2}[/tex].

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x=−2x=-2 (Multiplicity of 22)

x=4x=4 (Multiplicity of 11)

Answer:

Yes, that's correct.

Step-by-step explanation:

Answer:

[tex]6x^{2} + 7x - 20[/tex]

Step-by-step explanation:

Answer:

to find the solution, we substitute y = x + 4 into the other equation.

-3x + (x + 4) = 2

-3x + x + 4 = 2

-2x = 2 - 4

-2x = -2

x = 1

to find y, we substitute x to the x variable in the y equation.

y = 1 + 4

y = 5

therefore, when combined, it is (1,5).

Answer:

324

Step-by-step explanation:

Step 1: Multiply: 9 * 10 =90

Step 2: Multiply: 2 *102 =204

Step 3: Multiply: 3 * 10

Step 4: Add: 90 + 204 + 30 = 324

Hope this helps.

Answer:

Step-by-step explanation:

The midpoint between two points is the average of the coordinates.

mp=((x2+x1)/2, (y2+y1)/2)

In this case we are given one end point and the midpoint.

Just look at the x coordinate first.

If the mid x is 8 and the x from j is 10 we have

(10+x)/2=8

10+x=16

x=6, now for the y for j when y=6 and mid y of 5

(6+y)/2=5

6+y=10

y=4

So the coordinates of K are (6,4)

Answer:

(x,y)=(6,-8)

x=6, y=-8

Step-by-step explanation:

There are many was to answer this question, some are substitution and elimination. I am going to use the substitution method.  

Your system of equation is 5x+3y=6 and -3x-3y=6

5x+3y=6

-5x  -5x

3y=6-5x

Now you substittion the first equation to the sencond one. It will look like:

-3x-(6-5x)=6

-3x-6+5x=6

2x-6=6

+6    +6

2x=12

Divide both sides by 2 and you get

x=6

Now lets substiton x inot the orgianl equation.

-3(6)-3y=6

-18-3y=6

+18    +18

-3y=24

Divide both sides by -3

y=-8

So, the answer is x=6, y=-8

Answer:

12in

Step-by-step explanation:

2r = 24

r = 12

Answer:

12 in.

Step-by-step explanation:

The radius is half of the diameter.

r = d/2

r = 24/2

r = 12

Answer:

50

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

Step-by-step explanation:

step 1. let Mason = m and Tatum = t

step 2. m = 3x + 4 ($3/month and one time $4)

step 3. t = 1x + 20 ($1/month and one time $20)

step 4. 3x + 4 = x + 20 (set equations equal)

step 5. 2x = 16 (collect like terms)

step 6. x= 8 (answer: 8 months)

Answer:

8,640

Step-by-step explanation:

One foot is 12 inches, so a square foot would be 144 inches (12×12 -> l×w) So, you would multiply 60 by 144, and you would get 8,640 square inches.

Answer:

I think its Z (-5, 7)

Step-by-step explanation:

Here :)

The coordinates of Z is (7, -5).

Given that, Z'(5, -7) is the image of Z after a reflection in the line y=x.

We need to find the coordinates of Z.

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

So, the coordinates of Z become (7, -5).

Therefore, the coordinates of Z is (7, -5).

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Answer:

We conclude that:

Step-by-step explanation:

Given the function

[tex]f(x) = 11 - 6(x - 8)[/tex]

Important Tip:

substitute x = -3 in the equation

[tex]f(x) = 11 - 6(x - 8)[/tex]

[tex]f(-3) = 11 - 6(-3 - 8)[/tex]

[tex]f\left(-3\right)\:=\:11-\left(-66\right)[/tex]

[tex]f\left(-3\right)\:=\:11+66[/tex]               ∵ Apply rule  -(-a) = a

[tex]f\left(-3\right)=77[/tex]

Therefore, we conclude that:

Answer: The number is 192

Step-by-step explanation:

Answer:

Bill is 9.80 km apart from Concert

Step-by-step explanation:

It's given in the question,

m∠B = 75°

m∠C = 45°

By triangle sum theorem,

m∠A + m∠B + m∠C = 180°

m∠A + 75° + 45° = 180°

m∠A = 180° - 120°

m∠A = 60°

By sine rule,

[tex]\frac{\text{sin}(\angle A)}{BC}=\frac{\text{sin}(\angle C)}{AB}[/tex]

[tex]\frac{\text{sin}(60)}{BC}=\frac{\text{sin}(45)}{8}[/tex]

BC = [tex]\frac{8\text{sin}(60)}{\text{sin}(45)}[/tex]

     = 9.80 km

Therefore, Bill is 9.80 km apart from Concert.

Answer:

d

Step-by-step explanation:

Answer:

D.. I think..hope it helps

7,4 ×10^ -5

.....................

Step-by-step explanation:

If diameter=4cm,then radius=4÷2=2cm

Area of a circle=πr²

=3.14×2²

=3.14×4

=12.56cm²

Per

Answer:

True

Step-by-step explanation:

Step-by-step explanation:

Hope it helped

pls mark BRAINLIEST

Answer: Lol, do your homework.

Answer:

SAS

Well I took geometry last year so I don't know how to explain it well but when you move from each Angle/Point it wouldn't make sense for it to be SSS, or AAS, or any other one since there is only one given angle which is 90 degrees and its in between the sides.

Answer:

Circumference: 12pi or 37.7

Area: 36pi or 113.1

Step-by-step explanation:

C = 2(pi)r

C = 2 * pi * 6

C = 12pi or 37.7

A = (pi)r^2

A = pi * 6^2

A = 36pi or 113.1

Answer:

Step-by-step explanation:

8?

Answer: -5, 1: -5, 2: -8, 1

Step-by-step explanation: Just flip it on the other side

Answer:

(2,5)

(1,5)

(1,8)

Step-by-step explanation:

The reflection line y = x does the following to the coordinates:

(x , y) --> (y , x)

The coordinates swap places.

(5,2)  --> (2,5)

(5,1)   --> (1,5)

(8,1)   --> (1,8)