Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

Answers

Answer 1
The answer will be 15 because of the way it looks
Answer 2

Answer:

15

Step-by-step explanation:


Related Questions

John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck

Answers

Answer:

The answer is not finished but if John is buying the materials and paying for the labor then the answer will be $510.

Step-by-step explanation:

I’m sorry if I didn’t help but the answer is not written out enough…

Which is the function represented by the table?

Answers

Answer:

its the first one on the list bc when x is 0 you get f(x) = 1 and thats the only fjnction that does that with all of them.

Answer:

f(x) = - 2x + 1

Step-by-step explanation:

The equation of a linear function in slope- intercept form is

f(x) = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table

m = [tex]\frac{-3-3}{2-(-1)}[/tex] = [tex]\frac{-6}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

The function crosses the y- axis at (0, 1 ) ⇒ c = 1

f(x) = - 2x + 1

For a ride on a rental scooter, Rafael paid a $6 fee to start the scooter plus 8 cents per minute of the ride. The total bill for Rafael's ride was $18.64. For how many minutes did Rafael ride the scooter?

Answers

Answer:

  158 minutes

Step-by-step explanation:

If m represents the number of minutes Rafael rode, his total bill is ...

  0.08m +6.00 = 18.64 . . . . cost to start plus cost based on time

  0.08m = 12.64 . . . . . . . . . . subtract 6

  m = 12.64/0.08 = 158 . . . . divide by 0.08

Rafael rode the scooter for 158 minutes.

estimate how full each container is.

Answers

5/8 might be a great estimate.

Answer:

5/8

Step-by-step explanation:

the answer is 5/8 hope you get answer right.

translating the following mathematical expressions into phrases

[tex]x^{2}[/tex]-12
[tex]\frac{2x}{3} +1[/tex]
[tex]x^{3}-8[/tex]

Answers

Answer:

1) a number squared, reduced by 12

2) the quantity of twice a number divided by 3, increased by 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first expression reads "x squared less (or minus) 12."

The second expression becomes "the quotient 2x/3 plus one."    Note that 2x/3 must be computed before "one" is added, due to order of operations rules.

The third expression reads "8 less than the cube of x."

Answer correctly and u get the brainiest and 20 points! Which equation has a solution of r = 1/3?

3r=1/3

2/2/3+r=3

r−1=2/3

4r = 12

Answers

Answer:

Your answer is the second one.

Hope this helps!

Step-by-step explanation:

3 * 1/3 is 1, not 1/3

2 2/3 + 1/3 is equal to 3 and the answer is 3

1/3 - 1 is negative 2/3, not 2/3

4 * 1/3 is 4/3, not 12

Answer: I just keep getting [tex]r=\frac{1}{3}[/tex]

Marc has 45 books on his bookshelf, and Corinna has 61. If Marc buys 4 new books each month and Corinna buys 2 new books each month, after how many months will Marc and Corinna have the same number of books?

Define the variable:_________________________________________



Write the equation: _________________________________________


Solve the equation in the space below. Show your work

Answers

Call x as the number of months that Marc and Corinna have the same number of book.
45 +4x= 61 +2x
4x- 2x= 61-45
2x= 16
x= 8

I need help on this pls

Answers

[1] Complementary means the angles will add up to 90 degrees

 () Blank one is BOC

 () Blank two is 90

 () Reason blank I am unsure as I do not know the wording that is being looked for, but it is either "given," "complementary angles" or something similar

[2] Since AOC is equal too BOC + 30, we can decide the following is true

 () First blank is BOC

 () Second blank is 30

[3] 30°

 () BOC + BOC + 30 = 90 [Given]

    2(BOC) = 60 [Subtract 30 from both sides & combine like terms]

    BOC = 30 [Divide by 2]

[4] 60°

 () 90 - 30 = 60

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Melanie got a new job through the Jones Employment Agency. The job pays $32, 400 per year, and the angency fee is equal to 45% of one months pay. How much must Melanie pay the agency?

Answers

Answer:

The answer is $1,215

Step-by-step explanation:

I did $32,000 divided by 12 (months on an year) and got $2,700 per month, now we just do 0.45 x $2,700 and thats how I got the answer!

what is 6/2(1+2)=?give with expiation

Answers

Step-by-step explanation:

6/2 (1+2) = 3(3) = 9.

hope this helps you.

Answer:

9

Step-by-step explanation:

First you need to multiply 6/2 or 3 by the numbers in the ( ) 6/2 x 1 and 6/2 x 2. You will get 3 and 6. 3+6= 9

What is the equation of the line in slope-intercept form?

Answers

Answer:

y=2x+1/2 or its y=2x+2

Step-by-step explanation:

Y intercept is when the line intercepts with the y axis, the straight line. In this case it is 4, so b=4

Slope is choosing two imaginary points and appyling the y2-y1/x2-x1 formula in this case is 5/2

Y=5/2x+4

-a/6 + 7 = -14 I want to know how to do this

Answers

Step-by-step explanation:

so, if you did not make a typo the problem is

-a/6 + 7 = -14

and I guess, you need to find the value of a to make this equation true. right ?

you know that you can do additional operations on the equation ?

the rule is, whatever you change on one side of the equation you have to change also on the other side (otherwise we would destroy the original equation, where the left side must be equal to the right side).

so, a good idea to start is to try and separate the terms with the variable and the constants.

so, let's subtract 7 from both sides :

-a/6 = -14 - 7 = -21

next, the fraction is disturbing. let's dissolve it by multiplying both sides by 6 :

-a = -21×6 = -126

both sides are negative expressions. that is not nice either. let's multiply both sides by -1

a = 126

and we have our result ! bingo !

Use the solution for the system to find x - y

3x - 2y = 10

2x + 3y = -2

Answers

Answer:

solution is (3,-1/2)

Step-by-step explanation:

Please help me
RIGHT ANSWERS ONLY

Answers

Answer:

90 adults

Step-by-step explanation:

Let's make this an equation

We can add 5+3 giving us 8

Let's make it 8x=144

Solve for x

Divide 8x by 8 = 1x

144 ÷ 8 = 18

Now since we're looking for the adults we multiply by 5

18*5=90 adults

Five students sold lemonade and earned a total of $21.30. If they equally split their earnings, how much would each student receive?

Answers

Answer:

$4.26 each

Step-by-step explanation:

21.30 divided by 5 equals 4.26

(had to do it in words because I only have + - = )

Which is the graph of linear inequality 6x + 2y > –10?

On a coordinate plane, a dashed straight line with negative slope goes through (negative 2, 0) and (0, negative 6). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line with negative slope goes through (0, 6) and (2, 0). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line with positive slope goes through (0, negative 6) and (2, 0). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line with positive slope goes through (negative 2, 0) and (0, 4). Everything to the right of the line is shaded.

Answers

Hope it helps :) and let me know if you want me to explain why

Answer:

A

Step-by-step explanation:

DECYPHERED

Solve for j.
3j+1≥10

67 points

:D

Answers

3j+1≥10

Subtract 1 from both sides.

3j ≥ 9

Then divide both sides by 3.

j ≥ 3

3j+1>=10
Take the one to the other side by -1 on both sides
3j>=10-1
3j>=9
Divide both sides by 3
3/3j>=9/3
1j>=3
J>=3

3(2x + 5) + 4(3c - 2)

Answers

Answer:

6x+12c+7

Step-by-step explanation:

3(2x+5)+4(3c-2)

3*2x+3*5+4*3c-4*2

6x+15+12c-8

6x+12c+7

Answer:

[tex]12c+6x+7[/tex]

Step-by-step explanation:

Use the distributive property to simplify the expression accordingly:

[tex](6x+15)+(12c-8)[/tex]

[tex]12c+6x+7[/tex]

help with this question

Answers

Answer:

B

Step-by-step explanation:

It would be B! feel free to mark me brainlist if i get it right!

Q.5) The graph shows the number of inches a plant grew each week. Between which 2 weeks did the plant didn't grow at all?



Week 1 and Week 2
Week 4 and Week 5
Week 2 and Week 3

Answers

Type answer is Week 1 and Week 2. Please mark me brainliest

Answer:

Week 1 and Week 2.

Step-by-step explanation:

can someone help with this question

Answers

Answer:

<1= 60

<2=120

<3=60

<4=60

<5=120

<6=120

<7=60

Step-by-step explanation:

if you are graphing a system of equations, but the graph doesn't give you enough space to plot the y intercept or slope, what do you do? HELP ASAP

Answers

I’ve been there and I think it most likely means that you’re plotting it wrong. The graph should always have space for you to graph the problem correctly.

50 points!! :D

not sure how to do this :/

Answers

Answer:

1

Step-by-step explanation:

x - 5 = -2( x + 1 )

=> x - 5 = -2x - 2

=> x + 2x = 5 - 2

=> 3x = 3

∴ x = 1

Help anyone please and thank you

Answers

the answer would 1/4 of a gallon

simply because 4 of the containers equals one gallon

I need help on this question

Answers

What question did you eat the last day?

A-project-of-construction-of-a-building-can-be-completed-by-150-workers-in-40-days-But-project-manager-brought-30-more-workers-after-16-days-In-how-many-days-will-the-remaining-work-be-finished

Answers

Answer:

In the second scenario after 16 days, 150 workers would have completed 150*16=2400 worker days. That leaves 6000-2400=3600 worker days remaining. If you add 30 workers, it would take 3600/180=20 days longer to complete. So, the entire project would take 16+20=36 days to complete.

How much would it cost Matt to buy 2½ metres? when it is 9.50 per metre

Answers

Answer: 23.75

Step-by-step explanation:

Each of these circles represents a pizza cut into 10 equal slices, and the yellow slices are the ones eaten by Larry.

If Larry ate $L\%$ of the total amount of pizzas, what is the value of $L$?

[asy]
unitsize(0.35inch);
defaultpen(black+1);

void pie(pair ctr, real fract, int slices, string lbl){
path c = circle(ctr,1);
draw(c);
fill(c,darkblue);
path s = (ctr+(0,1)--ctr--ctr+(sin(2*pi*fract),cos(2*pi*fract))..ctr+(sin(pi*fract),cos(pi*fract))..cycle);
draw(s);
fill(s,yellow);
for(int i=0;i draw((ctr+(sin(2*pi*i/slices),cos(2*pi*i/slices))--ctr),red+0.75);
};
label(lbl,ctr+(0,-1),S);
}

pie((0,0),1/10,10,"");
pie((2.5,0),6/10,10,"");
pie((5,0),2/10,10,"");
[/asy]

Answers

Answer:

pie((2.5,0),6/10,10,"");

Step-by-step explanation:

What is the length of the altitude to the longest side of a triangle, if the lengths
of its sides are
15 cm, 17 cm, 8 cm

Answers

Answer:

hb ≈ 7.06cm

Step-by-step explanation:

Using the formulas:

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving for hb

hb=﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

2b=﹣154+2·(15·17)2+2·(15·8)2﹣174+2·(17·8)2﹣84

2·17

≈7.05882cm

On a coordinate plane, 4 points are plotted. The points are (1, 4), (2, 6), (3, 9), (4, 13.5).
Which statements are true for the given geometric sequence? Check all that apply.

The domain is the set of natural numbers.
The range is the set of natural numbers.
The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4.
An explicit formula representing the sequence is
f(x) = 4(three-halves) Superscript x
The sequence shows exponential growth.

Answers

Answer: See below.

Step-by-step explanation:

The domain is the set of natural numbers.   Yes

The range is the set of natural numbers.      Yes

The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4.  Yes   See attachment

An explicit formula representing the sequence is

f(x) = 4(three-halves) Superscript x     No  See attachment

The sequence shows exponential growth.   Yes

Answer:

1,3,5 are correct. please ignore the other person.

Step-by-step explanation:

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