Find the center and the radius of the circle given this equation:
2
x + 4x + y ² -10y +20=0

Answer:

n-23

Step-by-step explanation:

Answer:

(x-2)²=9

sqrt both sides

don't forget positive and negative roots

x-2=+/-3

well, she is partially correct

x-2=3 is one answer

she didn't remember the other one the x-2=-3

Step-by-step explanation:

(x-2)²=9

sqrt both sides

don't forget positive and negative roots

x-2=+/-3

well, she is partially correct

x-2=3 is one answer

she didn't remember the other one the x-2=-3

Noah could draw a triangle with side lengths 4 cm, 6 cm, and approximately 10.39 cm, with angles of 30°, 30°, and 120°.

Yes, there is a different triangle Noah could draw. Since Noah has only drawn one side and one angle, he can create two different triangles using the Angle-Side-Side (A S.  S) ambiguity

To find the other possible triangle, we need to calculate the angle opposite the 6 cm side. In this case, the given angle is 30°. Using the sine rule, we can find the sine of the opposite angle (let's call it θ):

sin(θ) / 6 = sin(30°) / 4

sin(θ) = (6 * sin(30°)) / 4

sin(θ) ≈ 0.5

θ ≈ 30°

Since the sum of angles in a triangle is 180°, the other angle in the triangle is:

180° - 30° - 30° = 120°

Now, we can use the sine rule again to find the length of the side opposite this new angle:

x / sin(120°) = 6 / sin(30°)

x ≈ 6 * sin(120°) / sin(30°)

x ≈ 10.39 cm

Therefore, Noah could draw a triangle with side lengths 4 cm, 6 cm, and approximately 10.39 cm, with angles of 30°, 30°, and 120°.

Read more about geometry here:

https://brainly.com/question/19241268

#SPJ1

Answer:

352 m

Step-by-step explanation:

The area of a trapeze is (the biggest base + the smallest base) × height / 2

The area from rectangles are side a × side b

Trapeze: (6+12)×4/2 = 36

Rectangles: 5 × 10 = 50

6 × 10 = 60

12 × 10 = 120

There are two trapeze andtwo rectangles with the samesize, so you double their area:

2×36 + 2 × 50 + 60 + 120 = 352 m

Answer:

0.4772

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

⎇ The answer of [tex] \frac{21}{44} [/tex] is [tex]\large\bold{0.4772....}[/tex]

Refer to the attachment for the steps.

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Hope this help!!!

Have a great day!!!

Answer:

Solution given;

m<DCA=<BCA[diagonal of a parallelogram or rhombus bisect the angle]

13x-16=9x+4

13x-9x=16+4

4x=20

x=20/4

x=5.

now

2<ADB+<BCD=180°[co interior angle]

2<ADB=180-13*5+16-9*5-4

<ADB=82/2

<ADB=41 ° is a required answer.

Answer:

216 units

Step-by-step explanation:

To find the distance, add the absolute values

I -49 I + I 167 I = 49 + 167 = 216 units

Answer:

The wood from the birch tree has a greater density than the wood that came from the cypress tree.

Step-by-step explanation:

Density formula: mass/volume

2 times 4 times 3=24 meters for the volume

Birch tree: 16/24 is the density

3 times 5 times 2=30 meters for the volume

Cypress tree: 15.3/30 is the density

If we convert the densities of each piece of wood to decimal it will be easier to determine which has a greater density.

So birch tree: 0.6 repeating is the density

Cypress tree: 0.51 is the density

Therefore the wood that came from the birch tree has a greater density than the wood that came from the cypress tree.

Hope I helped, have a nice day :)

Answer:

B.

Step-by-step explanation:

The square root of 100 is 10, and 10 is a rational number.

Answer:

100

hope it helps to you ....

Answer:

y= -1/2x+4

Step-by-step explanation:

slope = rise/run on the graph. the graph is going down, so it's negative. find where the line intersects the graph at a point and then count the squares up and over until it meets again. the line meets at (6,1), you count up one square and over 2 and it meets again. this gives you your rise/run = 1/2. the y intercept is where the line intersects the y axis. here the y intercept is 4 because the like goes through 4 at the y axis.

Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

y = 3x² - 18x + 1 ← is in standard form

with a = 3, b = - 18

x = - [tex]\frac{-18}{6}[/tex] = 3

Axis of symmetry is x = 3

Answer:

The 3rd graph goes on top, the 2nd graph stays in the middle, and the 1st graph goes on the bottom

Step-by-step explanation:

you are sorting these graphs by which people are getting the most average sleep. The people with less sleep go on top while the people with more sleep go on the bottom. You will find the mean (average) for each graph and sort them out.

Answer:

55

Step-by-step explanation:

You're looking at a right triangle, with both legs being complementary forming 90

Since you know one measurement, 35, substract that from 90 and  you get your missing angle.

90-35 = 55

Answer:

measure of the missing angle=55°

Step-by-step explanation:

Hi there!

We're given a right angle (as indicated by the red marking) being split into a 35° angle and another angle of unknown degree. Let's call the value of this angle x.

Because the given angle is 90° being split apart by the 35° angle and x, x+35° will equal to 90° (this is called parts whole postulate, where a whole (the 90° angle) is equal to the sum of its parts (the 35° angle and the x° angle))

so we can solve the equation as:

x+35°=90°

subtract 35 from both sides

x=55°

so the measure of the missing angle is 55°

Hope this helps! :)

Answer:

B

Step-by-step explanation:

Dividing by a number is the same as multiplying by the reciprocal (one over that number)

so z/144 is equal to z * 1/144

Answer:

A is the right answer

Step-by-step explanation:

It has the right definition for a function. Can't explain it much better than that...

Anwser:

180/3=60

60/12=5

3x(12x5)=180

b=5

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

180-145=35

Answer:

the small section should be 35° if you think half a circle is 180° subtract the 145°

Step-by-step explanation:

x²+x²= 10

2x²=10

x²=10/2=5

x =√5 or 2.24

Answer:

880 times 0.45 equals 396 as his/her commissioner fee

Step-by-step explanation:

Answer:

x^3+3x−3+x^2

Step-by-step explanation:

Answer:

x3+x2+3x − 3

Step-by-step explanation:

Answer:

f(x) = 4x + 3

Step-by-step explanation:

plug in some x values to test:

4(0) + 3 = 0 + 3 = 3

4(3) + 3 = 12 + 3 = 15

4(6) + 3 = 24 + 3 = 27

it checks out

Answer:

It would be the last one

Step-by-step explanation:

here are the coirdantes:

0-3

3-15

6-27

9-39

So if u try the first one

f(x)=x+3

3(1)=3

3+3=9

So it does not work

The second choice:

f(x)=-4x-3

3(-4)

-12-3=-15

It does not work

The third choice:

f(x)=1/4x+3

3(1/4)=3/4

3/4+3=3 3/4

The last one:

f(x)=4x+3

9(4)=36

36+3=39

As you can see the last one works

I hope this helped :D

(Fyi you can use your graphing calculator: (Ti-38))

Answer:

17.4

Step-by-step explanation:

got it wrong on delta

a^{2}+(36)^{2}=

a

2

+(36)

2

=

\,\,40^{2}

40

2

Use the Pythagorean Theorem.

a^{2}+1296=

a

2

+1296=

\,\,1600

1600

Simplify.

-1296\phantom{=}

−1296=

\,\,-1296

−1296

Subtract 1296 from both sides.

a^{2}=

a

2

=

\,\,304

304

\sqrt{a^{2}}=

a

2

​

=

\,\,\pm\sqrt{304}

±

304

​

Square root both sides.

a=

a=

\,\,17.435595...

17.435595...

Simplify. Ignore negative root, as length must be positive.

a\approx

a≈

\,\,17.4

17.4

The distance far up the side of the house will the ladder reach now will be 15.2 feet.

The distance far up the side of the house will the ladder reach now will be 15.2 feet.

A 40 foot ladder is set against the side of a house so that it reaches up 24 feet.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Let the distance between the base of house and ladder foot is x feet.

By using Pythagoras theorem;

40² = 24² + x²

⇒ 1600 - 576 = x²

⇒ x² = 1024

⇒ x = 32 feet

If Lily grabs the ladder at its base and pulls it 4 feet farther from the house.

Then, the distance between the base of house and ladder foot = x + 5

Height of house is h feet

40² = h² + (x + 5)²

⇒ 1600 = h² + (32 + 5)²

⇒ 1600 = h² + 1369

⇒ h² = 1600 - 1369

⇒ h² = 231

⇒ h = √231

⇒ h = 15.19 feet

Therefore, the distance far up the side of the house will the ladder reach now will be 15.2 feet.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ2

Answer:

20

Step-by-step explanation:

Cause d = C/3.14 and that’s equals 2 3.14 and c times radius

Answer:

no 379s not in the sequence below

Answer:

[tex](c)\ f(5) < g(3)[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 2(n-1) -1[/tex]

[tex]g(n) = 3n + 6[/tex]

Required

Which is correct

[tex](a)\ g(6) < f(6)[/tex]

Calculate g(6) and f(6)

[tex]f(n) = 2(n-1) -1[/tex]

[tex]f(6) = 2(6 - 1) -1 = 2*5-1=9[/tex]

[tex]g(n) = 3n + 6[/tex]

[tex]g(6) =3*6 +6 =24[/tex]

(a) is false, because g(6) > f(6) i.e. 24 > 9

[tex](b)\ f(7) > g(10)[/tex]

Calculate f(7) and g(10)

[tex]f(n) = 2(n-1) -1[/tex]

[tex]f(7) = 2*(7-1)-1=2*6-1=11[/tex]

[tex]g(n) = 3n + 6[/tex]

[tex]g(10) =3*10+6=36[/tex]

(b) is false, because f(7) < g(10) i.e. 11 <36

[tex](c)\ f(5) < g(3)[/tex]

Calculate f(5) and g(3)

[tex]f(n) = 2(n-1) -1[/tex]

[tex]f(5) =2 *(5-1)-1 = 2*4-1=7[/tex]

[tex]g(n) = 3n + 6[/tex]

[tex]g(3) = 3*3+6=9+6=15[/tex]

(c) is true, because f(5) < g(3) i.e. 7 <15

Answer:

the answer is f(7) > g(10) because 63 > 36.

Step-by-step explanation:

Answer:

7q-46= 3q +6

7q-3q = 6+ 46

4q= 52

4q/4= 52/4

q= 13

Answer:

Hello! q = 22

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees so...

22 × 7 = 154 154 - 46 = 108

3 × 22 = 66 66 + 6 = 72

108 + 72 = 180 therefore q = 22 hope that helps!

Answer:

90 degrees counterclockwise (ccw)

Answer:

90° counterclockwise

Step-by-step explanation:

;) you're welcome