The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Which statement must be true?

Answers

Answer 1

The true statement is the circle has the radius equal to 7.

What is Equation of circle?

The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.

As, standard form of equation of circle is

(x-h)² + (y-k)² = r²

At origin, equation of circle will be

(0-h)² + (0-k)² = r²

r² = x² + y²

Now, The line intersects the circle at (0,7)

r² = 0² + 7²

r² =49

r=7.

Hence, the circle has the radius equal to 7.

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Related Questions

Which shows all the exact solutions of 2sec^2 (x)-tan^4 (x)=-1? Give your answer in radians.
a) pi/3 + kpi and 2pi/3 + kpi
b) pi/3 +2kpi and 5pi/3 +2kpi
c) pi/4 +2kpi, 3pi/4 + 2kpi, 5pi/4 +2kpi, and 7pi/4 +2kpi
d) pi/3 + kpi, 2pi/3 +kpi, 4pi/3 +kpi, and 5pi/3 +kpi

Answers

Answer:

a. 1/3pi+kpi and 2/3pi+kpi

Step-by-step explanation:

2Sec²x

=2+2tan²x-(tan²x)²=-1

Let tan²x=u

-u²+2u+2=-1

-u²+2u+3=0

u²-2u-3=0

(u+1)(u-3)=0

u=-1,u=3

(tan x)²=-1(No solution)

(tan x)²=3

>>tan x=±sqrt(3)

I) tan x=sqrt(3)

>>tan(pi/3)=sqrt 3

Tan(pi+A) =tanA

Tan(pi+pi/3)=tan(pi/3)

>>tan(4/3pi)=sqrt(3)

>>x=4/3pi and 1/3pi

General solution: 1/3pi+kpi

ii) tan x=-sqrt(3)

x=2/3pi(At 2nd quadrant)

x=5/3pi(at 4th quadrant)

General solution: 2/3pi+kpi

is this correct ?-?
I need to get this done lol

Answers

Answer:

6

Explanation:

[tex]\textsf {The range of a data representation refers to difference of the smallest and }\\\textsf {greatest possible values. }[/tex]

[tex]\textsf {Here :}[/tex]

[tex]\textsf {smallest value = 5}\\\textsf {greatest value = 11}[/tex]

[tex]\textsf {Then the range will be :}\\\implies \textsf {greatest value - smallest value}\\\implies \mathsf {11 - 5}\\\implies \mathsf {6}[/tex]

Question 3 of 10
Evaluate: (4/5) 1/2
O A. 2/25
O B. 2/5
O C.4:5
O D.4/25

Answers

Answer:

2/5

Step-by-step explanation:

need help on this ASAP! please

Answers

Step-by-step explanation:

x=66°

180-118=62°

180-52+62=66°

hope this helps

Answer is 66

Explanation: angles on a line add up to 180, so if part of it is 118 you do 180-118 which is 62. So 62 is the angle on the right, then add the left and right angle which is 52 plus 62 which is 114.
And we know a triangle adds up to 180. So 180 take away 114 equals 66
Hope this helps and hope you can understand it

please hurry its due in 5 mins

Answers

Answer:

Divide the shape in two pieces:

A rectangle and a triangle

Find area of rectangle:

A=length*width=5*4=20m^2

Find area of triangle:

base of triangle=5-2=3m

height of triangle=8-4=4m

Area=(1/2)*base*height

=(1/2)(4)(3)=6m^2

Total area=6+20=26m^2

Hope it helps!

26 I think like 90% sure

HELP !!!

A taxi driver uses this formula to work out the price of a journey, in pounds. price of journey = 3 + 2 x distance in miles. Leah has £5, the journey to her home is 2.5 miles. She asks the taxi driver to take her as near to home as possible. How far will she need to walk to arrive home?

Answers

The distance Leah would have to walk home is 1.5 miles

Calculating distance

From the question, we are to determine the distance Leah will have to walk home

From the given information,

Price of journey in pounds = 3 + 2 × distance in miles

Let the distance be d

Then,

Price of journey in pounds = 3 + 2d

Since Leah has £5, we can write that

5 = 3 + 2d

5 - 3 = 2d

2 = 2d

∴ d = 2/2

d = 1 mile

This means her money can only cover 1 mile

But the journey to her home is 2.5 miles

Therefore, she will have to walk

2.5 mile - 1 mile  = 1.5 miles

Hence, the distance Leah would have to walk home is 1.5 miles

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Use the graphs below to answer the following questions: a. g(f(2) b. f(f(1)) c. f(g(2))

Answers

Answer:

19-73 19-73 and a very nice little

Step-by-step explanation:

19-73 19-73 and he changed

If c = 16, solve for b

Answers

Answer:

Step-by-step explanation:

given

cos(30°) = [tex]\frac{adjacent}{hypotenuse} \\[/tex]

cos(30°) = [tex]\frac{b}{c} \\[/tex]

cos(30°)=[tex]\frac{b}{16}[/tex]

b = 16cos(30°)

b [tex]16(\frac{\sqrt{3} }{2})\\ = 8\sqrt{3}[/tex]

A rectangular pyramid has a height of 6 units and a volume of 40 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct?

A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.

Answers

Answer:

The first statement is true so Shannon is incorrect.

Step-by-step explanation:

Volume of the pyramid with base  20 and h = 6

= 1/3 * base area * height

= 1/3 * 20 * 6

= 40 unit^3.

can someone please help me

Answers

Answer:

Domain: All real numbers

Range: y≤4

2. The wind blows the pinwheel below clockwise 180 degrees. What positions would the ribbon labeled A end up in after the wind blows it?

Answers

Answer: In between the red and yellow ribbons

Step-by-step explanation:

When something is rotated 180 degrees, you basically just mirror it. Since this pinwheel has an uneven amount of ribbons, there isn't a ribbon opposite of it, so it would be between red and yellow.

write the faction in the simplest form 28/36

Answers

Answer:

7/9

Step-by-step explanation:

Divide the numerator and denominator by 4.

28/36 = 7/9

Answer:

7/9

Step-by-step explanation:

28 and 36 are both divisible by 4.

28÷4 is 7 and

36÷4 is 9

28/36 = 7/9

A road is 450 metres long . It takes a woman 5 minutes to walk along the road . Work out the average speed of the woman . Give your answer in metres per second .​

Answers

theres 60 seconds in a minute. If it takes her 5 minutes, multiply 60 by 5. you will get 300. then all you will do is divide the meters by 300 seconds. you will get the answer of 1.5 metres per second.

solve log7(x+9)-log7(10)​

Answers

[tex]\log_7(x+9)-\log_710=\log_77\qquad(x > -9)\\\log_7\dfrac{x+9}{10}=1\\\dfrac{x+9}{10}=7\\x+9=70\\x=61[/tex]

evaluate 2x^2-1 when x=3

Answers

[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: 2 {x}^{2} - 1[/tex]

plug in the value of x :

[tex]\qquad \sf  \dashrightarrow \: 2(3) {}^{2} - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2(9) - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 18 - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 17[/tex]

The required value is 17

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

Answer:  [tex]\textsf{Option B, 17}[/tex]

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

Given:  [tex]\textsf{2x}^2\textsf{ - 1}[/tex]

Find: [tex]\textsf{When x = 3}[/tex]

Solution: In order to find the value when x is equal to 3 we just need to equate any x to the value of 3 and simplify.

Plug in the values

[tex]\textsf{2x}^2\textsf{ - 1}[/tex][tex]\textsf{2(3)}^2\textsf{ - 1}[/tex]

Simplify the expression

[tex]\textsf{2(3 * 3) - 1}[/tex][tex]\textsf{2(9) - 1}[/tex][tex]\textsf{18 - 1}[/tex][tex]\textsf{17}[/tex]

Therefore, the answer that would make most sense would be option B, 17.

1
2
4
10
01:28:2
solve x2 + 12x = -11 by completing the square. which is the solution set of the equation?
be
o {-11, -1}
o {-11, 1}
{11, -1}
o {11, 1}

Answers

First, make the equation equal to zero:
x^2 + 12x + 11 = 0

then complete the square
(x + 6)^2 - 36 + 11 = 0
(x + 6)^2 - 25 =0

(x + 6)^2 = 25

take the square root of both sides

(x + 6) = 5 or (x + 6) = -5

then, isolate x,

x = -1 or x = -11

Answer:

11

Step-by-step explanation:

Please helpppppppppppppp

Answers

Answer:

Inequality would be the answer

Identify two angles that are marked
congruent to each other on the diagram
below. (Diagram is not to scale.)

Answers

Answer:

Angles G and H are congruent.

Step-by-step explanation:

Convert 0.50 sen /g to RM/kg ​

Answers

the conversion is:

0.50 sen /g = 5 RM/kg

How to change the units?

First, we know that

1sen = 0.01RM

Then we can change:

0.50 sen /g = 0.50*(0.01 RM) /g = 0.005 RM/g

Now we use the relation:

1g = 0.001kg

So we can rewrite:

0.005 RM/g = 0.005 RM/(0.001kg) = 5 RM/kg

So the conversion is:

0.50 sen /g = 5 RM/kg

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Bronze is a mixture of copper and tin.
The copper and tin are in the ratio 9:1.
a) How much tin is there in a bronze bracelet
weighing 260 grams?
6

Answers

Answer:

26 gm

Step-by-step explanation:

Tin is   1   out of (9+1)   = 1/10 th

1/10th * 260 gm  =   26 gm


The volume of a cylinder is 8177 cm³. If the radius is 3 cm, what is the height
of the cylinder?
OA. 9 cm
OB. 18 cm
O C. 12 cm
O D .6cm

Answers

Answer:

None of the options are correct

О E. 289.2 cm

Step-by-step explanation:

Volume of a cylinder = v = л r² h

л = 3.1416     (aprox)

r = radius

h = height

8177 = 3.1416 * 3² * h

8177 = 3.1416 * 9 * h

8177 = 28.2744 * h

8177/282744 = h

h = 289.2 cm

two ships leave a port sailing 18km/h and 26 km/h. Their angle between their directions of travel from the port is 39 °. How far part are the skips to the nearest km after 2 hours

Answers

I got 33.02 ➡️ 33km!!
33km I got it right

fill in the blank
83 x 391 - 83 x ____ = 83 x (391 - 15)

Answers

Answer:

83 x 391 - 83 x 15 = 83 x (391 - 15)

Step-by-step explanation:

BODMAS is stands for Bracket Of Division Multiplication Addition and Subtraction.

left hand side:

83 × 391 - 83 × ____   = 32453 - 83 × ____

right hand side:

83  × (391 - 15) = 83 × 376 = 31208

equating both sides

32453 - 83 × ____ = 31208

32453 - 31208 = 83 × ____

1245 ÷ 83 = 15

hence the answer is 15.

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7. Miguel draws a square on a coordinate plane. One vertex is located at (5, 4). The
length of each side is 3 units. Circle the letter by all the ordered pairs that could be
another vertex.
A. (5, 1)
B. (5, 7)
C. (7, 8)
D. (2, 6)
E. (2, 1)

Answers

Answer:

A, B and E

Step-by-step explanation:

Answer: A,B and E i did the test

Step-by-step explanation:

Please please help what is equivalent to this??

Answers

The correct option is Option A: [tex]16^{3x/4}[/tex] is equivalent to the expression  [tex](\sqrt[4]{16})^{3x[/tex].

The rules of the exponent are

(a) [tex]a^m*a^n=a^{m+n[/tex]

(b)[tex]a^m/a^n=a^{m-n[/tex]

(c)[tex](a^b)^c=a^{bc}[/tex]

(d) [tex]\sqrt[n]{a}=a^{1/n[/tex]

here the given expression is [tex]16^{3x/4}[/tex]

we can rewrite the expression as

[tex]16^{3x/4}[/tex]

as we know by the rule of the exponent that    [tex](a^b)^c=a^{bc}[/tex]

=[tex](16^{1/4})^{3x[/tex]

as we know by the rule of the exponent  [tex]\sqrt[n]{a}=a^{1/n[/tex]

=[tex](\sqrt[4]{16})^{3x[/tex]

Therefore the correct option is Option A: [tex](\sqrt[4]{16})^{3x[/tex]

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What are the domain and range of an exponential parent function?

Help please

Answers

The domain and the range of an exponential parent function, that is, y = eˣ are equal to all real numbers and non-negative numbers, respectively. (Correct choice: C)

How to determine the domain and range of an exponential function

In this problem we should determine what an exponential parent function is. The most common exponential functions have the following form:

[tex]y = A\cdot e^{B\cdot x} + C[/tex]     (1)

(1) is an exponential parent function for A = 1, B = 1 and C = 0.

All functions are relations with a domain and range, the domain is an input set related to the range, that is, an output set. In the case of an exponential parent function, the domain and the range of the expression are [tex]\mathbb{R}[/tex] and y ≥ 0, respectively. (Correct choice: C)

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Which graph shows the solution to the system of linear inequalities?

x – 4y < 4

y < x + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

Answers

Answer:

From the graph in the attachment, it is clear that Option A is correct.

Step-by-step explanation:

The given inequalities are x - 4y ≤ 4 and y < x + 1.

Let us take the first line x - 4y ≤ 4 and remove the inequality and add equality, x - 4y = 4.

Now, we will find the intercept points. Putting y = 0 we will get x = 4 and putting x = 0 we will get y = -1. So, the points are (4,0) and (0,-1).

When we will solve the inequality, we find that portion above the graph satisfies this inequality.

Let us take the second line y < x + 1 and remove the inequality and add equality, y = x + 1.

Now, we will find the intercept points. Putting y = 0 we will get x = -1 and putting x = 0 we will get y = 1. So, the points are (-1,0) and (0,1).

When we will solve the inequality, we find that portion below the graph satisfies this inequality.

All these conditions satisfy the Option A.

The diagram is in the attachment.

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A local candy shop sells boxes of chocolate for $3.45 each. If a customer purchases five or more boxes, the cost is only $3 per box, plus the customer has an additional $1 fee per order. If C(x) represents the total cost and x represents the number of boxes, which of the following functions best models this scenario?

C of x equals 3.45 times x if x is less than 5 and 3.00x plus 1 if x is greater than or equal to 5.
C of x equals 3.45 times x if x is less than 5 and 3.00 plus x if x is greater than 5.
C of x equals 3.45 times x if x is less than or equal to 4 and 3.00x minus 1 if x is greater than 5.
C of x equals 3.45 times x if x is less than 4 and 3.00x minus 1 if x is greater than or equal to 5

Answers

The function that best models the scenario is as follows;

x < 5 :  C(x) = 3.45x + 1

x ≥ 5  : C(x) = 3x + 1

How to find an equation?

A local candy shop sells boxes of chocolate for $3.45 each.

This is when the consumer purchase less than 5 boxes of chocolates.

Therefore,

x = number of boxes

when x < 5

C(x) = 3.45x + 1

If a customer purchases five or more boxes, the cost is only $3 per box. Therefore,

when x ≥ 5

C(x) = 3x + 1

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PLEASE HELP PLEASEEEE!! 100 PTS!

Answers

Answer:

R

H

S

=  cos

2

x

Step-by-step explanation:

Hope this helped!

You have to use different identities to solve it, if you have a question about how I did a specific step just ask :)

Which of the following is the solution to 3I x-1 I≥ 12?
A. x≤ -3 or x≥ 5
B. x≤ -3 and x≥ 5
C. x≥ 5
D. x≥ -3 or x≥ 5

Answers

The solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

For the given inequality the solution can be found as,

When the value of x is negative,

         3|x-1| ≥ 12

         x-1 ≥ 4

         x ≥ 5

When the value of x is positive,

         3|x-1| ≥ 12

         - x + 1 ≥ 4

         -x ≥ 3

         x ≤ -3

Hence, the solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.

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