Whether ab is tangent to circle c at point b

Answer:

(1 [tex]\frac{1}{3}[/tex], 2 [tex]\frac{1}{3}[/tex] )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex] = 1 [tex]\frac{1}{3}[/tex]

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

[tex]\frac{4}{3}[/tex] + 2y = 6

2y = 6 - [tex]\frac{4}{3}[/tex] = [tex]\frac{14}{3}[/tex] ( divide both sides by 2 )

y = [tex]\frac{7}{3}[/tex] = 2 [tex]\frac{1}{3}[/tex]

Answer:

where is the picture so i can help you

Answer:

6.325

Step-by-step explanation:

Answer:

a b c d e f

Step-by-step explanation:

all good

Answer:

x = 24

Step-by-step explanation:

x/4+9=15

Subtract 9 from each side

x/4+9-9=15-9

x/4 = 6

Multiply each side by 4

x/4*4 = 6*4

x = 24

Answer:

[tex]x = 24[/tex]

Step-by-step explanation:

[tex] \frac{x}{4} + 9 = 15 \\ \\ \frac{x}{4} = 15 - 9 \\ \frac{x}{4} = 6 \\ 4 \times \frac{x}{4} = 6 \times 4 \\ x = 24[/tex]

hope this helps

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Answer:

That means that the roller coaster can be 800 feet or taller

which means greater than or equal to

r≥800

Step-by-step explanation:

Answer:

y is greater than or equal to 800 feet

Step-by-step explanation:

It says it is at least 800 feet, so it has to be higher than 800

Answer:

12.5 cm

Step-by-step explanation:

divide 125 by 10 to get 12.5

Answer:

12.5 cm

Step-by-step explanation:

10 mm=1 cm

so 125 mm=125:10 cm=12.5 cm

Answer:

B) x=16

Step-by-step explanation:

The 3 is the base, the expression in the parenthesis is the argument and the 4 is the exponent

We also know that [tex]base^{exponent}[/tex] = argument

so therefore the new equation is [tex]3^{4}[/tex] = 5x+1

3 to the fourth power is 81

so 81=5x+1

then solve algebraically

Answer:

0.00558

Step-by-step explanation:

Answer:

None of input and output table work for the rule.

Step-by-step explanation:

Start with the numbers given at A, B,C.

According to the rule you need to multiply by 666 to get the output.

A 000 * 666 = 0 (=NOT the output)

B 111 * 666 = 73926 (=NOT the output)

C 222 * 666 = 147852 (=NOT the output)

None of input and output table work for the rule.

Answer:

c

Step-by-step explanation:

khan academy

Answer:

The amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.

Step-by-step explanation:

Let

Total number of frozen fruits = F

Let the amount of frozen fruits used for making smoothies = S

The remaining frozen fruits = R

Then

F - S = R

To get the amount of frozen fruits used to make smoothies, we make S the subject of the formula.

-S = R - F

S = F - R

That is, the amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.

Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AD}{WZ}[/tex] = [tex]\frac{CD}{YZ}[/tex] , substitute values

[tex]\frac{10}{46}[/tex] = [tex]\frac{5}{YZ}[/tex] ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

Answer:

12 feet

Step-by-step explanation:

Perimeter=l+l+w+w

48.8=12.4+12.4+2w

48.8=24.8+2w

2w=24, w=12 feet

Answer:

Angle 2

Step-by-step explanation:

They are 90 degrees when added together

Answer:

<2

Step-by-step explanation:

Complementary angles add to 90 degrees ( form right angles)

<1 and <2 add to 90 degrees so they are complementary angles

Answer:

C

Step-by-step explanation:

6x^2 + 2x - 8

Multiply the (6) to the -(8) to get x^2 by itself.

x^2 + 2x  - 48

Solve -

(x-6)(x+8) = x^2 + 2x  - 48

However, you must divide out the (6) you multiplied.

(x-6/6) =

(x-1)

(x+8/6) =

(3x + 4)

Therefore, 2(3x + 4)(x-1) is your answer.

EDIT - At the beginning of the equation it is possible to divide (2) out of the equation, this is where the (2) at the end comes from.

Answer:

$8,864.73

Step-by-step explanation:

Base amount: $6,000.00

Interest Rate: 5% (yearly)

Effective Annual Rate: 5%

Calculation period: 8 years

Answer:

1. -18-6k=6(1+3k)      k=   -1

2. 5n+34=-2(1-7n)   n=4

3. 2(4x-3)-8=4+2x    x=3

4. 3n-5=-8(6+5n)      n= -1

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Answer:

(x-16)(x+3)

Step-by-step explanation:

A can of soup is a cylinder. We want to know how much soup can fill the can, which means that we are looking for the volume.

Formula for the volume of a cylinder: V = pi x r^2 x h

V = pi x 6^2 x 10

V = pi x 36 x 10

V = 360pi inches^3

Hope this helps! :)

This question is incomplete because it lacks the attached diagram.

Find attached to this answer the appropriate diagram

Answer:

500 square centimeters

Step-by-step explanation:

From the question above, we are told that the top and bottom of the triangular prism is open.

Hence, the area of the piece of the cardboard is = Lateral Surface Area of the triangular prism

The formula for Lateral Surface Area of a Triangular Prism = Perimeter of the Triangular prism × Height of the Triangular prism.

Perimeter of the Triangular prism = Side a + Side b + Side c

Where Side a = 9cm

Side b = 9cm

Side c = 7 cm

Perimeter of the Triangular prism = 9cm + 9cm + 7cm

= 25cm

Height of the Triangular prism = 20cm

The Lateral Surface Area of the Triangular prism = 25cm × 20cm

= 500cm² or 500 square centimeters.

Since we are told that Lateral Surface Area = Area of the cardboard,

The Area of the cardboard = 500 cm² or 500 square centimeters.

Answer:

You will get $3 back

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Step-by-step explanation:

$25 times 8%= 2

25+2=27

30-27=3

Answer:

$3

Step-by-step explanation:

25*.08=2

25+2=27

30-27=3

Answer:

1. Area of rectangular rug is [tex]110 ft^{2}[/tex]

2. Area of triangular room is [tex]330ft^{2}[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, rectangle and triangle.

step one

let us start by solving for the area of the rectangular rug

given data

Area A =  ?

Length l =  11 ft

Width w=  10 ft

we know that the area of a rectangle is expressed as

[tex]Area=Length * Width[/tex]

substituting our given data we have

[tex]Area= 11*10\\Area= 110 ft^{2}[/tex]

step two

let us  solve for the area of the triangular room

given data

Area A =  ?

base b =  30 ft

height  h=  22 ft

we know that the area of a triangle is expressed as

[tex]Area= \frac{1}{2} *base* height\\[/tex]

substituting our given data we have

[tex]Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}[/tex]

Answer:

(x-3)^2 = 4

Step-by-step explanation:

2 (x-3)^2 + 6 = 14

Subtract 6 from each side

2 (x-3)^2  = 8

Divide each side by 2

2/2 (x-3)^2 + 6 = 8/2

(x-3)^2 = 4

Answer:

1397.54248594

Step-by-step explanation:

I am glad you asked!First we need to write square root for our equation.Then we need to do 125[tex]^[/tex]^3.We then need to put all this together.We get square root 125[tex]^[/tex]^3.It equals 1397.54248594.

The solution of expression is,

⇒ 1404.9

We have to give that,

An expression is,

''square root of 125 to the power of 3''

Now, It can be written as,

⇒ ( √125 )³

⇒ [tex]125^{3/2}[/tex]

⇒ (11.2)³

⇒ 11.2 × 11.2 × 11.2

⇒ 1404.9

To learn more about the Number system visit:

https://brainly.com/question/17200227

#SPJ6

Answer:

55.71 ft.

Step-by-step explanation:

hope this helps have a good day!

Answer:

Step-by-step explanation:

7/12

no. of not prime number/ total no. of number

Answer:

C. CD=ST

Step-by-step explanation:

The conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR

From the question, we are to deduce which of the given options is correct

From the given information, the circles are congruent

Congruent circles have the same or equal radii

As indicated in the diagram,

Arc AB = Arc QR

Since, the radii of the two circles are equal and the arcs (arc AB and arc QR) are as well equal, their central angles must be equal

∴ Angle AEB = Angle QUR

Hence, the conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR

Learn more on congruent circles here: https://brainly.com/question/12044225

#SPJ2

Answer:

Step-by-step explanation:

Q1) r = 6 ft

Area of semicircle = πr²/2 = 6*6*3.14/2

Area of shape = 6*6*3.14/2 + area of the rectangle attached.

option 2

Q2)  length of the arc = circumference of the circle /2

       =2πr/2

       = 2 * 3.14 * 6 /2

        =12 * 3.14/2 ft

option 1

Answer:

6

Step-by-step explanation:

In order to get r by itself, you would want to multiply both sides by 6 to cancel out the denominator. From this, you get r=5.

Hope this helps :)