3. What are the intersection points of the line whose equation is y=3x +3 and the
circle whose equation is (x - 2)² + y2 = 25?
Answers
Answer:
(-2 , -3) and (0.6 , 4.8)
Step-by-step explanation:
y=3x +3
(x - 2)² + y² = 25
(x - 2)² + (3x +3)² = 25
x²-4x+4+9x²+18x+9-25=0
10x²+14x-12=0
5x²+7x-6=0
(x+2)(5x-3)=0
x = -2 or x = 3/5 (-0.6)
y = -3 or y = 4 4/5 (4.8)
Related Questions
Ms. Benson is making a jewelry box using 2 identical squares of wood and 4 identical rectangular pieces of wood, as shown below.
What is the surface area of the jewelry box in square inches (sq. in)?
Answers
Length of rectangles = 7 in.
Breadth of 4 rectangles = 3 x 4
= 12 in.
Side of squares = 3 in.
Area of 4 rectangles = length x breadth
= 7 x 12
= 84 sq. in.
Area of two squares = 2(side x side)
= 2(3 x 3)
= 18 sq. in.
Therefore, Surface area of the Jewellery box = 84 sq. in. + 18 sq. in.
= 102 sq. in.
A python snake on display at a pet store is 62 centimeters long. About how many inches long is the snake? Using
complete sentences, explain how you would convert from cm to inches.
Answers
Answer: 62 cm = 24 inch
Step-by-step explanation: one inch is 2.54 cm. you divide 62 cm by
2.54 which is also a conversion factor. You calculate 62 cm/ 2.54 = 24.409 inch
What integer is closet to n
Answers
Answer:
Rounding to the Nearest Integer
The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).
Solve the equation.
3x + 2(4x − 6) = 8x + 1
Please help :) also have a good day :D
What is the value for x?
Please enter fractional values in the form ‘a/b’. For example, an answer of [tex]\frac{1}{3}[/tex] will be entered as 3/4.
x =
Answers
Answer:
3x + 2(4x − 6) = 8x + 1
3x + (8x-12)=8x+1
-12=19x+1
-11=19x
-11/19 (Im pretty sure i did this right but at the same time im not, im sorry if i got this wrong)
Answer:
=13/3
Step-by-step explanation:
1. Distribute
3+2(4−6)=8+1
3+8−12=8+1
2. Combine like terms
3+8−12=8+1
11−12=8+1
3. Add 12 to both sides of the equation
11−12=8+1
11−12+12=8+1+12
4. Simplify
11=8+13
5. Subtract 8x from both sides of the equation
11=8+13
11−8=8+13−8
6. Simplify
3=13
7. Divide both sides of the equation by the same term
3=13
3x÷3=13÷3
8. Simplify
If you cancel terms that are in both the numerator and denominator you will get:
=13/3
I hope this helps
The shorter leg of a right triangle is two less than the hypotenuse. The longer leg is one less than the hypotenuse. Find all three sides of the triangle. HELP TEST!
Answers
Answer:
x = 5
Step-by-step explanation:
using the Pythagorean theorem:
(x-1)² + (x-2)² = x²
x²-2x+1 + x²-4x+4 = x²
reduce:
2x²-6x+5 = x²
subtract x² from each side:
x²-6x+5 = 0
(x-1)(x-5) = 0
x=1 but because shorter leg would be 0, a triangle would be impossible.
x=5
Hi, I am very stuck on questions 17 and 18. Can someone help please? Thanks
Answers
9514 1404 393
Answer:
17) x = 10√2
18) x = 4√6
Step-by-step explanation:
These problems rely on your knowledge of the side ratios of special triangles
45°-45°-90° triangle: 1 : 1 : √2
30°-60°-90° triangle: 1 : √3 : 2
__
17) 5 is the short side of the isosceles right triangle, so its hypotenuse is 5√2. That length is the shortest side of the 30/60/90 triangle, so its longest side is 2 times that:
x = 10√2
__
18) 8 is the longest side of the 30/60/90 triangle, so its long leg will be 8(√3)/2 = 4√3. The hypotenuse of the isosceles right triangle is √2 times that, so ...
x = (4√3)(√2)
x = 4√6
Harper is a salesperson who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of sales and she earns a commission of 1% of the dollar amount of all sales that she makes. Write an equation for P, in terms of x, representing Harper’s total pay on a day which she sells x dollars worth of computers.
Answers
Answer:
Step-by-step explanation:
P = 0.01x+100
What is the ratio in simplest form between the length of a side in ABCD and the length of its corresponding side in WXYZ? A. B. C. D.
Answers
Answer:
The Answer would be C) 3/4
Step-by-step explanation:
If you subtract a quarter of the number presented on right left hand on the picture you get the numbers presented on the left hand side of the picture shown. There fore the ratio is 3/4 or three quarters of the already existing number.
Answer:
Step-by-step explanation:
2–1 × 22 × 2–1 is equal to
Answers
Answer:
43
Step-by-step explanation:
2-1=1
1x22=22
22x2=44
44-1=43
The graph of y = |x-6| is in the standard (x,y)
coordinate plane. Which of the following transforma-
tions, when applied to the graph of y = |x|, results in
the graph of y = |x-6| ?
F. Translation to the right 6 coordinate units
G. Translation to the left 6 coordinate units
H. Translation up 6 coordinate units
J. Translation down 6 coordinate units
K. Reflection across the line r= 6
Answers
9514 1404 393
Answer:
F. Translation to the right 6 coordinate units
Step-by-step explanation:
Replacing the function argument x with x-6 causes the graph to be translated right 6 units.
2. Scientists measure a bacteria population and find that it is 20,000. Four days
later, they find that the population has doubled. Which function f could describe
the bacteria population d days after the scientists first measured it, assuming it
grows exponentially?
Answers
Answer:
P(t) = 20,000 * e^0.173287t
Step-by-step explanation:
P(t) = Po * e^k*t
Po = 20,000
t = 4
P(t) = 40,000
40,000 = 20,000 * e^4k
2 = e^4k
ln 2 = ln e^4k
ln 2 = 4k * ln e
ln 2 = 4k
0.173287 = k
A 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid times. Find the experimental probability of rolling a number less than 3
Answers
Answer:
7/12 or 58%
Step-by-step explanation:
Answer:
17/100
Step-by-step explanation:
Which student has the greater median test score?
Answers
Answer:
amy, since the middle term is further up the graph
Step-by-step explanation:
median is the middle term, amy's middle term is further
You want to buy 7 tickets at that same rate. Explain the mathematical process you used to determine the cost of 7 tickets. (Include the unit rate in your explanation)
Answers
Answer:
7x
Step-by-step explanation:
To purchase 7 tickets at the same rate ;
Mathematically, Total Cost of an item is :
Cost = unit price * quantity
Here,
quantity = 7 tickets
Since price per ticket(rate) is the same ; then we can take rate as x
Hence, the cost of the 7 tickets is :
Quantity * rate
7 * x = 7x
In which quadrant does the point with c ordinate (4, -3) lie?
Answers
Answer:
4
Step-by-step explanation:
hope the diagram helps haha
D
Question 2
If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?
O 3
O 6.7
O 15.7
06
Answers
determine whether the polygon is concave or convex?
Answers
Answer: Convex
Step-by-step explanation
The difference between convex and concave polygons lies in the measures of their angles. Another way to think of it is this: the diagonals of a convex polygon will all be in the interior of the polygon, whereas certain diagonals of a concave polygon will lie outside the polygon, on its exterior .Also If the interior angles of of the polygon are less than 180 degrees, then the polygon is convex. But if any one of the interior angles is more than 180 degrees, then the polygon is concave. T∴×∴T that was a lot
Giving braileiest lollolololol
Answers
Answer:
did you try googling it? it works for me
Step-by-step explanation:
Find the value of the lettered angles in each of the following ( see image ).
Please show workings.
The only given angles are 60° , 10° , 40°
Answers
Answer:
Step-by-step explanation:
s + 40 + 60 = 180 {angle sum property}
s + 100 = 180
s = 180 - 100
s = 80
This figure is a cyclic quadrilateral. sum of opposite angles are 180
s + v + 60 + 10 = 180
80 + v + 60 + 10 = 180
v + 150 = 180
v = 180 - 150
v = 30
y+ 10 + v = 180 {angle sum property}
y + 10 + 30 = 180
y + 40 = 180
y = 180 - 40
y = 140
9514 1404 393
Answer:
r = 80°, s = 80°, t = 10°, u = 60°, v = 30°
Step-by-step explanation:
Working clockwise from the left side, we can name the points on the circle as A, B, C, D. The given inscribed angles are half the measure of the arcs they intercept, so we have ...
arc BD = 2×40° = 80°
arc DA = 2×60° = 120°
arc CD = 2×10° = 20°
From these measures, we can deduce the measures of the individual arcs as ...
arc AB = 360° -BD -DA = 360° -80° -120° = 160°
arc BC = BD -CD = 80° -20° = 60°
Then the angle measures of interest are ...
r = AB/2 = 80°
s = AB/2 = 80°
t = CD/2 = 10°
u = DA/2 = 60°
v = BC/2 = 30°
Mark is buying a car for $5,750. He is able to make a down payment of $1,500 and will be making monthly payments of $250. Write an explicit rule and use the rule to find out how many months it will take Mark to pay off his car.
Answers
Answer:
5750 = 1500 + 250x
17 months
Step-by-step explanation:
Let x represent the number of months it would take to pay for the car
the total cost of the car is a function of the down payment and the monthly payments
$5750 = $1500 + 250x
to solve for x, collect like terms
5750 - 1500 = 250x
4250 = 250x
Divide both sides by 250 to find x
x = 17 months
HELP WILL GIVE BRAINLIST IF CORRECT!!!
Under her cell phone plan, Morgan pays a flat cost of $55.50 per month and $4 per gigabyte. She wants to keep her bill at $71.90 per month. How many gigabytes of data can she use while staying within her budget?
Answers
Answer:
4.1
Step-by-step explanation:
You would first subtract 55.50 from 71.90 which leaves you with 16.4,
Then you would divide 16.4 by 4 to find how many gigabytes she could use which gives you 4.1
Hope this helped
Answer:
4.1
Step-by-step explanation:
PLEASE HELP ME WITH ALGEBRA! THANK YOU
Answers
Answer:
She will do 61 sit ups.
Step-by-step explanation:
The number of situps are increasing by 4 each day.
So at this rate...
Day 6: 37
Day 7: 41
Day 8: 45
Day 9: 49
Day 10: 53
Day 11: 57
Day 12: 61
Which operation will isolate the variable?
17b = 54 :
addition
subtraction
multiplication
division
Answers
Answer:
Division
Step-by-step explanation:
here's your process
=>. it is your equation 17b = 54
=> now divide 17 on both side
=> then we get 17b/17 = 54/17
=> hence , we get b = 54/17
=>now b is isolated by the method of division
hope it helps
9. Order the following from least to greatest:
10-2
10-30 1012
10-12 1030
10-
100
PLZZZZZZZ HELPPP
Answers
10-2=8
10-30=-20
10-12=-2
10-100=-90
8,-2,-20,-90
10-2, 10-12, 10-30, 10-100
---
hope it helps
I have to study for a test. It's for data management. Does anyone have tips? (Grade 7)
Answers
Studying: Use resources.
If your studying for a test, use some resources, like quizizz, quizlet, flashcards, or the internet. If you do, ask your parents for help. Think it like its your big test, and your studying a lot. If you study and try, you'll pass the test on data management. If you need it, ask your teacher for tutoring or practice some data management questions. Studying will help you not to fail a test.
Now, we'll talk about before the test.
Before test: Rest, eat breakfast, and stay calm.
Step-by-step explanation: Going to bed before a test can prevent you from going to sleep. For example, GMAS (for me) is coming soon, and my teacher encourage us to rest, eat breakfast and stay calm. A recommended time for you to go to bed is 8:00-9:30.
Now, about breakfast.
Eating breakfast is also important because you can perform better, in fact, scientists say that if students eat breakfast before a test or exam, they will perform better! Whatever you do, don't skip breakfast. If you do, you won't perform good, and theirs a chance you could fail.
Now, staying calm is the big one.
If your freaking out, stay calm, say a prayer and get your work done! Staying calm is the big one because most students (I am one of them) get worried if they're gonna fail. Keep this in mind: Try. Your. Best. If you don't try, you won't achieve anything. And please don't cheat. If you cheat, you'll have to repeat the whole grade. Can't cheat in college; you'll get kicked out.
During test: DO. NOT. CHEAT.
CHEATING WILL GET YOU KICKED OUT OF COLLEGE AND YOU'LL AUTOMATICALLY FAIL!!! If your computer prevents you from going to other sites, that is good, but don't pull out ANY study guides or notes during your test, unless it's open-notes. If you don't know a questions, skip it and go to the next one. Then go back, it will come to mind later. If your done with your test early, check your answers. Look back and think, "Is this correct?"
Hope you do good on your test!
~ Lily, from Brainly.
A local shelter is having an Adopt-a-thon for kittens and puppies. Kittens cost $50 to adopt and puppies are $75. The shelter made $1200 during the Adopt-a-thon event and adopted off twice as many puppies as kittens. Write and solve a system to find how many puppies and kittens were adopted
Answers
Answer:
Step-by-step explanation:
P=2K
50K+75P=1200, using P from above makes this equation become
50K+75(2K)=1200
50K+150K=1200
200K=1200
K=6, since P=2K
P=2(6)=12
So 12 puppies and 6 kittens were adopted.
Find the volume for the regular pyramid.
6 cu. units
12 cu. units
4 cu. units
Answers
Answer:
that does not look like a pyramid
Step-by-step explanation:
Answer:
4 cu. units! I just got this right
Step-by-step explanation:
Rich has t dollars in his checking account. On June 3, he deposited w, h, and v dollars and wrote a
check for k dollars as a payment to electric Bros Inc. Write an algebraic expression that represents
the amount of money in his account after the transactions.
Answers
Answer:
t + w + h + v - k = M, where M is the total amount in his account.
Step-by-step explanation:
Thank goodness they're not trying to get you to solve this, hahaha. They just want you to show you started with t, added the next 3 letters, then subtracted one.
LMK if you have questions.
Jackie washed 4 cars. She earned $15 for each car. She spent some of the money, m, to buy CDs. Which expression shows one way to find the amount of this money Jackie had left after she bought the CDs?
Answers
Help me with this pls
Answers
Answer:
C
Step-by-step explanation:
