Circle P has a radius of 5cm. Point Q lies on circle P, and the equation of PQ is y=2/5x+3. Which equation could be the equation of a line tangent to circle P at point Q?

Answer:

d

Step-by-step explanation:

just took test

Answer:

volume of the prism=(1/2×(6+12)×4)×10

=36×10

=360 cm³

Answer:

D. y = 1/2x - 7

Step-by-step explanation:

y = 1/2x + b

-5 = 1/2(4) + b

-5 = 2 + b

-7 = b

Answer:

[tex]637[/tex]

Step-by-step explanation:

Step 1: Set Up System of Equations

[tex]a + b = 13[/tex]

[tex]ab = 40[/tex]

Solve for a in the first equation

[tex]a = 13 - b[/tex]

Subsitur that in for the 2nd equation

[tex](1 3 - b)(b) = 40[/tex]

[tex] - b {}^{2} + 13b = 40[/tex]

[tex] - {b}^{2} + 13b - 40[/tex]

[tex] - (b - 5)(b - 8)[/tex]

Set each monomial to zero

Think of a number that adds to 13 and multiply to 40.

Th

[tex]b = 5[/tex]

[tex]b = 8[/tex]

So the answer is 5 and 8. Remember factos are interchangeable so a and b can be either 8 or 5.

Cubed both 5 and 8.

[tex]5 {}^{3} + {8}^{3} [/tex]

[tex]125 + 512 = 637[/tex]

Given:

The graphs of two functions f(x) and g(x).

To find:

The correct statement about the functions.

Solution:

In the given graph blue line represents the graph of f(x) and the red line represents the graph of g(x).

From the given graphs it is clear that the graphs of the functions interest each other at point (-2,4). It means,

[tex]f(-2)=4[/tex]

[tex]g(-2)=4[/tex]

So, we conclude that

[tex]f(-2)=g(-2)[/tex]

Thus the option D is correct.

We can check other options.

[tex]f(4)=-14[/tex]

[tex]g(4)=10[/tex]

[tex]f(4)\neq g(4)[/tex]

So, option A is incorrect.

[tex]g(-2)=4[/tex]

[tex]f(4)\neq g(-2)[/tex]

So, option B is incorrect.

[tex]f(2)=-8[/tex]

[tex]f(2)\neq g(-2)[/tex]

So, option C is incorrect.

Therefore, the correct option is D.

Answer:

-30x-27y = -21

Step-by-step explanation:

We know that;

-30x-27y = 3(-10x-9y)

Recall, -10x-9y = -7

Thus; -30x-27y = 3(-7) = -21

Answer:

h(n) =2n

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

4/13

Step-by-step explanation:

Answer:

62/205

Step-by-step explanation:

Answer:

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Answer:

C

Step-by-step explanation:

4xy=4y

since each friend must get at least a cupcake, 4y must be larger than 8

Answer:

1. 10 root 3

2.

A=30

B = 60

Step-by-step explanation:

In picture

Step-by-step explanation:

3<3x-2<2x+4

=>

3<3x-2

5<3x

5/3 < x => x > 5/3

=>

3x-2<2x+4

3x-2x<4+2

x<6

x ={2,3,4,5}

Answer: D) 59°

Step-by-step explanation:

Answer:  A.  x = 3

This is a vertical line that goes through 3 on the x axis. Two points on this line are (3,0) and (3,1). Any vertical line is perpendicular to the x axis.

Answer:

option D

Step-by-step explanation:

M and N cannot be added because they have different order.

Note : For adding and subtracting two matrices their order must be same.

Answer:

29.96

Step-by-step explanation:

First find the discount

35 * 20 %

35*.2

7

Subtract the discount from the price

35-7

28

Now find the tax on the new price

28* 7%

28 *.07

1.96

Add the tax to the new price

28+1.96

29.96

Answer:

37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

1st term -2 + 3= 2nd term 1 + 3= 3rd term 4....... and so on to 14th term, which is 37

Answer:

3 centimeters

Step-by-step explanation:

nope

Answer:

[tex]B[/tex]

Step-by-step explanation:

Answer:

Use the formula SA=2×length×width+2 length× height+2×height×width. With this I believe your answer should be 13.5. Sorry if it's wrong since the answer choices don't line up but thats the only way it makes sense for me.

Answer:

d = 6

Step-by-step explanation:

Since the line is horizontal then the distance from B to C is the distance between the x- coordinates.

d = | - 3 - 3 | = | - 6 | = | 6 | = 6

Answer:

option C

Step-by-step explanation:

[tex]distance, d = \sqrt{(x_B- x_C)^2 + (y_B - y_C)^2}[/tex]

               [tex]=\sqrt{(-3 -3)^2 + (6 - 6)^2 }\\\\=\sqrt{(-6)^2 + 0 }\\\\=\sqrt{36}\\\\= 6[/tex]

Answer:

130

Step-by-step explanation:

instead of 132 round to the nearest 10 so its 130

Answer:

130

Step-by-step explanation:

Answer:

(5x-23)° + (7x-1)° = 180°

5x-23 + 7x-1 = 180

12x - 24 = 180

12x = 204

x = 17

.°. (5x-23)° = 62°

& (7x-1)° = 118°

Answer:

b

Step-by-step explanation:

Formula for sphere = 4/3pi radius cubed.

So 4/3 (3.14) 12^3

=4/3(3.14)1728

=(4/3)5425.92

=7234.56

Answer is D.

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Let's explore possible case scenarios.

---------------------

Case A) Each person gets a rose and a daisy (2 flowers per person)

In this case, Jackie can make 2 such arrangements because she has 2 roses. We have 2 left over daisies.

---------------------

Case B) Each person gets a rose only (1 flower per person)

Only two arrangements are possible for the same reason as case A. In this situation, we have 4 left over daisies.

----------------------

Case C) Each person gets a daisy only (1 flower per person)

We have 4 arrangements possible because we have 4 daisies. The left over flowers are the 2 roses.

-----------------------

Case D) Each person gets 2 roses

Only one such arrangement is possible, so this only applies to one person really. You can say that 2/2 = 1. We have 4 left over daisies in this case.

-----------------------

Case E) Each person gets 2 daisies

Since 4/2 = 2, this means we can make 2 arrangements. There are 2 left over roses.

------------------------

Case F) Each person gets 2 daisies and 1 rose

We can see that 4/2 = 2 and 2/2 = 1, meaning that we can make at most 2 arrangements here. There are no leftovers. In contrast, the other cases do have leftovers of some kind.

------------------------

In short, you can do trial and error to see which case works to fit the conditions your teacher set. Case F is what we go for to have each flower bouquet consist of 2 daisies and 1 rose. We'll get 2 bouquets possible. Notice how cases A through E have at least one left over flower (either of one kind or both types), while case F has no leftovers.

Answer:

The answer is 10.2-y=32.6 D. y+32.6=10.2

Step-by-step explanation:

Given : The difference between 32.6 and a number is 10.2

Let the number be : y

⇒   32.6 - y = 10.2

⇒   32.6 minus y = 10.2