algebraically find the x-coordinates where the line y=2x+3 intersects the circle (x-3)^2 + (y+6)= 50
** please help its due soon **

Answers

Answer 1

Answer:

x = {-4, -2}

Step-by-step explanation:

To find the intersection we need to solve the system:

y = 2x + 3(x - 3)² + (y + 6)² = 50

Solve by substitution, replace y with 2x + 3 in the second equation:

(x - 3)² + (2x + 3 + 6)² = 50x² - 6x + 9 + 4x² + 36x + 81 - 50 = 05x² + 30x + 40 = 0x² + 6x + 8 = 0x² + 6x + 9 = 1(x + 3)² = 1x + 3 = ± 1x = -4, x = -2

Related Questions

On the number line, is -3 8/9 or -3.89 farther from 0? Explain.

plz help :)

Answers

Answer:

-3.89 is the farthest, because it has the highest absolute value

IF YOU DONT KNOW DONT ANSWER!!!!!!! and I give b if correct :)

Answers

Answer:

location

Step-by-step explanation:

orientation doesn't change

shape doesn't change

size doesn't change

number of sides doesn't change

location does change

you earn 35 for washing 7 cars how much do you earn for washing 4 cars

Answers

Answer:

He earned 20$

Step-by-step explanation:

To find the answer, divide 35$ by 7. Then multiply that number by 4.  

35 / 7 = 5. 5 x 4 = 20

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Have a great day, be safe and healthy

Thank u  

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Area please help I’m desperate

Answers

I think add 30 by 13 and you should get your answer which is 43 but I’m not sure

The area of triangle given in the given image is 180 [tex]m^2[/tex] as per the given data.

What is area of an triangle?

To calculate the area of a triangle, you must first determine the length of the base and the height of the triangle.

The base can be any of the triangle's sides, and the height is the perpendicular distance between the base and the opposite vertex.

The formula for calculating the area of a triangle is A = (1/2) x b x h, where A is the area of the triangle, b is the length of the triangle's base, and h is the height of the triangle.

We know that,

Area = 1/2 x b x h

Here, it is given that:

Base = 30m

Height = 12m

So,

Area = 1/2 x 30 x 12

Area = 180[tex]m^2[/tex]

Thus, the answer is 180[tex]m^2[/tex].

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Which is the equation of a line with a slope of -1 and a y-intercept of -6?
A y = -6x - 1
B y = -x - 6
C y = x - 5
D y = x + 6

Answers

I say A, because of it both being negative & having a y intercept .

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = - 1 and c = - 6 , then

y = - x - 6 → B

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Answers

The answer is B.
It’s the right answer
I did that class last year

Write a recursive formula for the sequence 7,4,1, -2 and -5. Then find the next term. ​

Answers

Answer:

the answer is 10-3n please do you get it

Answer:

1. C

2.C

3.A

4.B

5.D

Step-by-step explanation:

100 % for AL Connecions Mathematical Patterns

3.What is 25% written as a decimal? (Hint: Don't forget to take away the "%" sign or it will be marked wrong.)

Answers

Answer:

0.25

Step-by-step explanation:

Answer:0.25

25% = 25 / 100

= 0.25

The diameter of a circle is 38 miles. What is the circle’s area?

Use 3.14 for pi

Answers

Area of circle formula: πr^2

Since the radius is half of the diameter, divide 38 by two.

r = 19 miles

A = π(19)^2 = π(361)

Now, substitute in 3.14 for π

A = 3.14(361) = 1133.54

Answer: 1133.54 sq. miles

Business and Consumer Arithmetic ​

Answers

Answer:

Facility with the arithmetic of fractions, decimals and percentages. ... we all need to be competent in our understanding of commercial or consumer arithmetic.

Step-by-step explanation:

Facility with the arithmetic of fractions, decimals and percentages. ... we all need to be competent in our understanding of commercial or consumer arithmetic.

plsplsplsplsplsplspslpslsplspslpslpslsplsplspslsp

Answers

Answer:

192

Step-by-step explanation:

Fist you do 4x6x4, then 6x8x2 and add em together and you get 192! :)

Answer:

208 cm

Step-by-step explanation:

Surface Area = 2(wl+hl+hw)

2(6 × 8 + 4 × 8 + 4 × 6)

2(48 + 32 + 24)

2(104) = 2 × 104

= 208 cm

George buys oranges and apples
at a ratio of 2:5 for his party.
If he has 14 oranges how many apples does he have

Answers

Answer:

The answer is 35 apples.

Step-by-step explanation:

ratio: 14:35

It's 14:35 because

14/2=7 and 5 x 7 = 35

So he has 35 apples!!

Hope his helps!! ;)

1. Classify the triangle according to side length and angle measurement.
(green triangle seen in the photo)

2. Classify the triangle according to side length and angle measurement.
(yellow triangle seen in the photo)

3. Classify the quadrilateral. Parallel sides are indicated with arrows.
(purple quadrilateral shown in photo)

Answers

Answer:

1. Scalene,right

2.Iscosecles,obtuse

4.parallelogram

Step-by-step explanation:

make sure ques 2 is correct because im not sure

To win a trivia game, you need at least 60 points. Each question is worth 5 points.

Which inequality and solution represent this statement?

Group of answer choices

Answers

Answer:

i need  to answer too

Step-by-step explanation:

Match each function on the left to all points on the right that would be located on the graph of the function

Answers

By direct evaluation we have found the following results about functions and points:

The points (1, - 3) and (5, 5) are part of the function f(x) = 2 · x - 5.The point (1, 1) is part of the function f(x) = 2 · x² - 8 · x + 7.The point (4, 1) is part of the function f(x) = 2√(x - 4) + 1.What function does a point belong to?

Herein we have three functions and four points which has to be checked with respect to each of these functions. A quick approach consists in evaluating each function at every value of x and choose from the outputs.

Case A

f(1) = 2 · 1 - 5

f(1) = - 3

f(4) = 2 · 4 - 5

f(4) = 3

f(5) = 2 · 5 - 5

f(5) = 5

The points (1, - 3) and (5, 5) are part of the function f(x) = 2 · x - 5.

Case B

f(1) = 2 · 1² - 8 · 1 + 7

f(1) = 1

f(4) = 2 · 4² - 8 · 4 + 7

f(4) = 7

f(5) = 2 · 5² - 8 · 5 + 7

f(5) = 17

The point (1, 1) is part of the function f(x) = 2 · x² - 8 · x + 7.

Case C

f(1) = 2√(1 - 4) + 1

f(1) = NaN

f(4) = 2√(4 - 4) + 1

f(4) = 1

f(5) = 2√(5 - 4) + 1

f(5) = 3

The point (4, 1) is part of the function f(x) = 2√(x - 4) + 1.

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Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form.

3/4,1/8

Answers

Answer:

From 3 to 4,1 is 1,9 and from 4,1 to 8 it is 4,9 I think. I am sorry if I'm wrong I haven't done this is a while?

PLZ PLZ HURRY I WILL GIVE BRIANLEST
Which of the following equations of a line is NOT written in standard form?
A. 3x + 2y = 8
B. -9x – 4y = 17
C. x + y = 10
D. y = 6x

Answers

Answer: D Explanation: Standard form is written as Ax+By=C and D is the only one not written in that form therefore the answer is D.

The Pythagorean Theorem is
a2 + b3 = c4
O No answer text provided.
O False
O True
O No answer text provided.

Answers

False the Pythagorean theorem is A2+B2=C2 hope this helps!

HELP AGAIN PLEASE REEEEEEEEEEEEE

Answers

Answer:

3. D

4. A

5. B

Step-by-step explanation:

1/2 (6x - 4) + 4x = 26

Answers

Answer:   = 4

Step-by-step explanation:

Your welcome

Someone help me pls

Answers

Answer: A. 90° clockwise, E. 270° counterclockwise

Patrice found a book that was 2 1/4 inches thick. She stacked it with another book that was the same thickness. How tall was the stack ?

Answers

Answer:

4.5. inches

Step-by-step explanation:

Given that:

Thickness of first book = 2 1/4 inches

Thickness of second book = same as first = 2 1/4 Inches

Stacking both books together, height of stack will be :

2 1/4 inches * 2

Height of stack = 9/4 * 2

Height of stack = 18 /4 = 4.5 inches

Fred runs 4 laps around a track in 6 minutes. How many minutes per lap is that? How many laps per minute?

Answers

Answer:

0.67 Laps per minute

Step-by-step explanation:

4 Laps over 6 Minutes

4/6 = 0.67

What’s the answer???????

Answers

Answer:

12

Step-by-step explanation:

2(b + c)

2(5 + 1)

2(6)

12

The answer is on the picture

witch shape does it make​

Answers

the answer is volume

What is the expanded form for 3^4
3

1. 3 x 4
2. 3 x 3 x 3 x 3
3. 3 + 3 + 3 + 3

Answers

Answer: 2. 3 x 3 x 3 x 3

Answer:

2. 3 x 3 x 3 x 3

Hope this helps!!!!

Have a great night/morning!

The average test score for 8 students is 5 the scores for 7 of the 8 students are shown what is the score of the 8th student

Answers

Answer:

70

Step-by-step explanation

Find the diagram attached

Average = Sum of scores/sample size

Given the 7 numbers

20, 20, 20, 30, 80, 80, 80

Average = 50

5 = 20+20+20+30+80+80+80+x/8

x is the score of the 8th student

50 = 330+x/8

400 = 330+x

x = 400-330

x = 70

Hence the score of the 8th student is 70

PLEASE HELP ME ASAP! I WILL GIVE YOU BRAINLIEST!

Answers

Answer:

4 x 4 1/2 = 18

4 x 4 1/2 = 18

4 1/2 - 2 = 2.5

8 3/4 x 2.5 = 21 7/8

18 + 18 + 21 7/8 = 57 7/8

B : 57 7/8

A string reaches from the top of a 17-foot pole to a point 13 feet from the base of the pole. To the nearest tenth of a foot, how long is the string?

Answers

Answer:

21.4 feets

Step-by-step explanation:

Using Pythagoras rule :

The length of the string:

Hypotenus = sqrt(opposite² + adjacent²)

Length of string = sqrt(17² + 13²)

Length = sqrt(289 + 169)

Length of string = sqrt(458)

Length of string = 21.400

Length = 21.4 feets

WORTH 20 POINTS AND I'LL MARK YOU BRIANLIEST IF ANSWERED RIGHT!!!!
What is the surface area of the box if it is scaled up by a factor of 10? here are the measurements: length: 11in width: 5in height: 5in
surface area is 270in

Answers

Answer:

27000in

Step-by-step explanation:

you have to multiply everything by 10 and then find the surface area again.

(length: 11in width: 5in height: 5in) * 10

(length: 110in

width: 50in

height: 50in

Finding the new surface area:

SA = 2(lw + lh + wh)

SA = 2((110)(50) + (110)(50) +(50)(50))

SA = 2(5500 + 5500 + 2500)

SA = 2(13500) = 27000

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