Answers
Interpreting the inequality, it is found that the correct option is given by F.
------------------
The first equation is of the line.The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.In standard form, the equation of the line is:
[tex]x + 2y = 6[/tex]
[tex]2y = 6 - x[/tex]
[tex]y = -0.5x + 2[/tex]
Thus it is a decreasing line, which removes options J.
We are interested in the region on the plane below the line, that is, less than the line, which removes option H.------------------
As for the second equation, the normalized equation is:[tex]3x^2 + 3y^2 = 12[/tex]
[tex]3(x^2 + y^2) = 12[/tex]
[tex]x^2 + y^2 = 4[/tex]
Thus, a circle centered at the origin and with radius 2.Now, we have to check if the line [tex]x + 2y - 6 = 0[/tex], with coefficients [tex]a = 1, b = 2, c = -6[/tex], intersects the circle, of centre [tex]x = 0, y = 0[/tex]First, we find the following distance:[tex]d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}[/tex]
Considering the coefficients of the line and the center of the circle.[tex]d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1[/tex]
This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.A similar problem is given at https://brainly.com/question/16505684
Related Questions
Graph the equation: g(x) = 5 - 2x
Answers
So first you could need to find the x and y intercepts.
So the x intercept can be found why y is zero and vice versa.
so your graph would go through the points (0,5) and (2.5,0)
What is negative 29 as a fraction
Answers
Answer:
-29/1 or 29/-1
Step-by-step explanation:
It can also be a lot of other things if you scale it up properly such as:
-58/2
-87/3
-116/4
Ivan currently has $ 45 saved. He had been saving $ 9 each week. You spent $ 126 of those savings yesterday. How many weeks have you been saving?
Write an equation that can be used to answer the previous question. First, choose the appropriate shape. Then fill in the blanks with the numbers 45, 9, and 126. Let w be the number of weeks.
please i need the procedure of this pls
Answers
Ivan earns $9 per week so we would write it as 9w
Add 45 to it because that is what he also saved
Then he spent those savings which was 126.
Now we can find how many weeks he was saving for.
First minus 45 from both sides
9w = 126 - 45 = 81
The divide both sides by 9
w = 9
Ivan has been saving for 9 weeks
what is a computer
Answers
Answer:
computer is an electronic machine which process raw data and gives meaningful information to the user.
Answer:
A computer is an electronic machine which accepts raw data process them and give meaningful information to the user
have a great day ☺
Pls help I’ve been stuck on this for days
Answers
Answer:
The surface area is 283
Amanda rolled a standar number cube what is the probability of rolling a number less than 7.
Answers
Answer:
Wouldn't be 100% since all the numbers on a standard number cube are less than 7?
Step-by-step explanation:
Lol help me :0
Company Employees attended a year end banquet. 43of the quests ordered chicken, while 12 more of them ordered steak and 9 fewer ordered seafood. How many quests attended the banquet?
I did 43+12-9 which = 46
But tbh I think i might be completely wrong. This is for Algebra 2 so why would a teacher give me this easy of a question. I'm also just thinking not to smart LOL please help
Answers
Answer:
58
Step-by-step explanation:
only 3 people ordered seafood so u add 43 12 and 3
SORRY IF I AM WRONG
What is 24 divided by 3072
Answers
Answer:
I might think 124 is the answer
Answer:
128
Step-by-step explanation:
attached..........
PLEASE HELP!!! WILL MARK BRANLIEST
how do i rewrite 12 1/2 as another number?
Answers
Answer:
1/8
Step-by-step explanation:
The digit 4 in which number represents a value of 4 hundredths?
a 8.34 its a see the 4 the four is in the hundredths place
b0.994
c405..6 cant figure it out here's the answer
Answers
Answer:
A
Step-by-step explanation:
Because 8's place value is the ones , 3's place value is the tenths and 4's place value is the hundredths.
Example > 0.1 = tenths slot. 0.01 = hundredths slot. 0.001 = thousandths slot. 0.0001 = ten thousandths slot.
Your welcome pooh.
Given: g(x) = -3x + 5x and h(x) = 2x +1
Find: g(h(x+1)
Answers
Answer:
Answer is 0.67 rounding up
The coordinates of point T are (0,3). The midpoint of ST is (3,-2). Find the coordinates of point S.
Answers
Answer:
(6,-6) use midpoint formula
Bill's bike wheels have a 26-in. diameter. The odometer on his bike counts the number of times a wheel rotates during a trip. If the odometer counts 200 rotations during the trip from Bill's house to school, how many feet does Bill travel? Round to the nearest foot.
Answers
Answer:
1361 ft.
Explanation:
The circumference of the wheel times the number of rotations equals distance travelled
[tex]C = d\pi[/tex]
Answer:
≈ 1361 ftStep-by-step explanation:
One rotation is same distance as:
C = πd = 3.14*26 = 81.64 inTotal distance traveled:
200*81.64 = 16328 inConvert inches to feet:
12 in = 1 ft16328 in = 16328/12 ft = 1360.66666667 ft ≈ 1361 ftGyro bought a car priced at $7,589. He agreed to
make payments of $260 per month for 36 months.
How much more than the actual price will Gyro pay?
$
Answers
Answer:
He will pay $1,771 more than the actual price.
Step-by-step explanation:
260 x 36 = 9360
9360 - 7589
= $1,771
PLEASE HELP ASAP!!
In below diagram line AB is parallel to CB. i.e. AB || CD
EGB = 57°
Find EHD.
Answers
Answer:
57
Step-by-step explanation:
EGB and EHD are the same angles.
Answer:
m∠EHD = 57°
Step-by-step explanation:
∠EGB and ∠EHD are corresponding angles. Therefore, they are congruent.
¿CUAL ES LA RAIZ CUADRADA DE 8362?
Answers
Answer:
es 91
Step-by-step explanation:
pero no exactamente que significa que no tiene
solve the equation using multiplication and division.
-13 = m/-5
Answers
Answer:
m = 65
Step-by-step explanation:
[tex]-13 = \frac{m}{-5} \\\\(-5)*-13 = \frac{m}{-5} *(-5)\\\\m = 65[/tex]
This is confusing and makes no sense
Answers
Answer:
A is the answer
rrrrrrrr
HELP THIS IS DUE TOMORROW
14. Given this graph of the function f(x): Find: a. f(-4) = b. f(5) = c. f(2)= d. f(-5) = e. x when f(x) = 0
Answers
Answer:
a. 2
b. -1
c. -2
d. 0
e. 0
Step-by-step explanation:
a-d. use x value (x), to find y-value.
e. f(x)= y-value, so locate y=0 on graph and locate x-value
qBj57afytU enter this into discord invite!
20 Points!
No bad answer little #
Answers
Answer:
Question 1:
D. Multiply/divide both sides by the same non-zero constant.
[tex] \frac{x}{4} + 1 = - 3[/tex]
non zero constant is 4:
[tex]x + 4 = 12[/tex]
Question 2:
Yes
[tex] \mathrm{Answer}[/tex]
1. We can get Equation (B) from Equation (A) by multiplying it with 4.
therefore the correct option would be :
C. Multiply / Divide only one side by a non-zero constant.
2. A. Yes, they are equivalent since we can get Equation (B) from Equation (A) by multiplying it with 4.
Thomas invested $40,000. He put part of the money in an account paying 2% interest and the remainder
into stocks paying 3% interest. The total annual income from these investments was $1020. How much
did he invest at each rate?
(show work please)
Answers
Answer:
18,000 at 2%
22,000 at 3%
Step-by-step explanation:
x: the amount in account paying 2% interest
y: the amount in stock paying 3% interest
x + y = 40,000
2%. x + 3%. y = 1020
⇒ x = 18,000
y = 22,000
Can someone help me please
Answers
Answer:
200 ft
Step-by-step explanation:
area = 2500
length = 50
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
One fifth of the difference of a number and 1.
Answers
Step-by-step explanation:
(x - 1) / 5
the difference of a number and 1, and then 1/5 of that.
2. Represent √7 on a number line.
Answers
1) One fifth of the sum of two angles is 36° and half of the difference between the two angles is 40°. Find the size of the two angles.
6) The price of 6 chairs and 3 tables is RM480. The price of 8 chairs and a table is RM400. Find the price of a chair and a table.
7) The sum of Wan Yee's and her mother's age is 60. Two years ago, her mother was three times older than Wan Yee. Calculate (a) Wan Yee's age now.
(b) her mother's age when she was born.
Answers
Answer:
1) 130 degrees and 50 degrees 6) a price of a chair is 40, a price of the table is 80 7) a) 16 b)28
Step-by-step explanation:
1) Let it be that the first angle is x, The second one is y
1/5(x+y)=36- the first equation
1/2(x-y)=40- the second equation
The equations are simultaneous
x+y=180 and x-y=80
x+y+x-y=180+80
2x=260
x=130
y=50
6) The cost of a chair is x, the cost of table is y
6x+3y=480 2x+y=160
8x+y=400
8x+y- (2x+y)=400-160
6x=240
x=40
2*40+y=160
y=80
7) The Wan's age is x, the mother's age is y
x+y=60 x=60-y
Two years ago mother's age was y-2, when Wan;s age was x-2
y-2=(x-2)*3
y-2= (60-y-2)*3
y-2= (58-y)*3
y-2=174-3y
4y=176
y= 44
x=60-44=16- Wan's age now
44-16=28- her mother's age when she was born
Part A Find the value of x
x=20
x=35
x=70
x=110
Part B Find the measure of the unlabeled angle in the previous question
40°
70°
110°
140°
Answers
Answer: x = 35
Step-by-step explanation: The sum of all the angles is equal to 360.
2*(x+y+5)+y+2x=360
Opposite angles are equal: y = 2x
Substitute y=2x into the first: 4x+6x+10 = 360: x=35 (y = 70)
what is 384757 + 293
Answers
my hundreds digit is twice my tens digit, my ones digit is 4 times my hundreds digit. what number am i
Answers
Answer:
The number is 218.
2=2×1
8=2×4
ABCD is a parallelogram. Find the value of x, y and z.
Answers
Step-by-step explanation:
X+100=180(linear pair)
X=180-100
X=80
30+y+x=180(sum of angle of triangle)
Y=180-110
Y=70
Answer:
Hope this helps..!!
Step-by-step explanation:
X= 80, angles in a st: line
y= 180-(30+80)=70 Angles in a triangle add upto 180..
z= 70
please help i’m failing algebra and it’s only the 3rd week
Answers
Rational numbers are those which can be expressed as a fraction of 2 whole numbers
(2/3 , 1/2 etc)
Irrational numbers are those that CAN NOT be expressed as a fraction of 2 whole numbers
( pi, square root of 2, etc)
*Extra notes to help differentiate*
-An irrational number has endless non-repeating digits to the right of the decimal point.
- Every whole number is a rational number, because any whole number can be written as a fraction. For example, 2 can be written as 2/1
