Answer: Infinitely many solutions.
Step-by-step explanation:
[tex]y=\frac{1}{2}x+2\\2y=x+4\\[/tex]
Use [tex]\frac{1}{2} x+2[/tex] for y in [tex]2y=x+4[/tex]
[tex]2(\frac{1}{2}x+2)=x+4\\x+4=x+4\\x-x = 4-4\\0=0[/tex]
Infinitely many solutions.
(section 6.1) Find the length of the small arc formed by the intersection of the unit circle a circle centered at the origin with a radius of 1: x2 + y2 = 1 and the line 2 y=1/2
Answer:
The length of the arc is approximately 2.0944
Step-by-step explanation:
The given parameters are;
The equation of the circle = x² + y² = 1
The radius of the circle, r = 1
The equation of the line, y = 1/2
Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;
When y = 1/2, the equation of the circle becomes;
x² + (1/2)² = 1
x² = 1 - (1/2)² = 3/4
x = ±√3/2
The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°
The circumference of the circle, C = 2·π·r
∴ C = 2 × π × 1 = 2·π
The length of the arc, l = (θ/360) × C
∴ l = (120/360) × 2·π = (2/3)·π
The length of the arc, l = (2/3)·π ≈ 2.0944
The length of the arc is approximately 2.09
The intersection of the unit circle a circleFrom the question, we have the following parameters
The equation of the circle = x² + y² = 1
The radius of the circle, r = 1
The equation of the line, y = 1/2
The line intersects with the circle are given as the points 'y = 1/2' as follows;
When y = 1/2, the equation of the circle becomes;
x² + (1/2)² = 1
x² = 1 - (1/2)² = 3/4
x = ±√3/2
Determine the subtended angle
The angle subtended by the arc is expressed as:
θ = 2 × arctan((√3/2)/(1/2))
θ = 120°
The circumference of the circle, C = 2·π·r
C = 2 × π × 1 = 2·π
The length of the arc, l = (θ/360) × C
l = (120/360) × 2·π = (2/3)·π
The length of the arc, l = (2/3)·π ≈ 2.09
The length of the arc is approximately 2.09
Learn more on length of an arc here:https://brainly.com/question/2005046
You reverse the inequality symbol when you multiply or divide both sides of an inequality by the same negative number true or false
Answer is in the file below
tinyurl.com/wpazsebu
Answer:
When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.
Step-by-step explanation:
Your Welcome
Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins. What fraction of the muffins did Juan eat?
Answer:
1/20
Step-by-step explanation:
Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins. What fraction of the muffins did Juan eat?
Let the total number of muffins = 1
Hence:
The fraction of muffins Juan ate =
1 - (1/2 + 1/4 + 1/5)
Lowest common denominator is 20
1 - ( 10 + 5 + 4/20)
1 - 19/20
= 1/20
The Fraction of muffins Juan ate is 1/20
Graph the following systems of equations and determine the solution of the system .
Answer:
We can find the solution to a system of equations by graphing the equations. Let's do this with the following systems of equations:
what is meant by algebraic equation
Answer:
An algebraic equation is an equation used in algebra which uses numbers and letters. The letters are representing unknown numbers and are called variables.
Answer:
An algebraic equation is "a mathematical statement in which two expressions are set equal to each toher."
If that is too complicated to understand, look at it like this. An algebraic equation usually has two things: an equal sign, and letters. For example, this is an algebraic equation: x + 3 = 7.
Step-by-step explanation:
The farmer owned 100 acres of land. A year later he bought more property and then owned 140 acres. Is this a percent increase or decrease? Find the % change. Round to the nearest whole percent, if necessary.
Answer:
The percentage change (an increase) wa 40%.
Step-by-step explanation:
The beginning number of acres was 100; adding 40 more brought that to 140 acres. This was an increase. Dividing the increase (40) by the starting value (100) yields 0.40. Finally, multiplying this result by 100% yields 40%.
The percentage change (an increase) wa 40%.
(x^2+8x+16)-1-16
what is the vertex form
Answer:
Use photo math, it will explain it all in different forms
What is the value of x?
5x+3/-2=4
HELP HELP HELP
Answer:
5x+3=4*-2
5x+3= -8
5x=-8-3
x= -11/5
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
**PLEASE HELP ILL MARK BRAINLIEST** the table shows the values of y for different values of x. What are the rate of change and the initial value for y
Answer:
It's D. The initial value of y is 3 because 6,9 and 12 are 3 digits apart, and it always is Y over X
QUICK
The figure shows the outline of a new pier that is going to be built at the ocean. What is the area of the pier? Use 3.14 for pi.
Answer:
7502.88m^2
here u go hope it helps
The area of the pier is approximately 1231.62 square meters.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
The pier is in the shape of a semicircle.
So,
The area of a semicircle is half of the area of a circle with the same diameter.
The area of a circle with a diameter of 56m is:
A = πr² = π(28)² = 2463.23 m²
So,
The area of the semicircle is:
A/2 = 2463.23/2= 1231.62 m²
Therefore,
The area of the pier is approximately 1231.62 square meters.
Learn more about circle here:
https://brainly.com/question/11833983
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(answer ASAP! thanks.) "As part of a math project, Joel recorded the types of vehicles passing an intersection in one hour. His results are shown on the table below. Explain how you can determine the percent of each type of vehicle. Then calculate the percent of vehicles that are not trucks."
Car: 73
Small truck: 16
Large truck:6
Motorcycle: 2
Bicycle: 3
Step-by-step explanation:
There is a total amount of vehicle of 100
which is good because now you can say 73% is cars 16% is small trucks 6% is large trucks and 2% motorcycle and 3% bicycle. Adding the trucks (small 16, large 6) gives us 24% so you can do 100% - 24% and get 74%. Thanks and goodbye!
What is the percent change from 35 to 63? Indicate whether it is a percent increase or decrease.
Answer:10%
Step-by-step explanation:
its is a percent increase because 35 to 63 is going to be 10% going up.
solve the simultaneous equation plz x
Answer:
x=4,y=3
Step-by-step explanation:
x=19-5y if we transpose equation 2 for x.
Plug that into equation 1
4(19-5y)+3y=25
76-20y+3y=25
76-25=17y
51=17y
y=3
Plug y=3 into equation 2
x+5(3)=19
x=19-15=4
We are having two equations,
4x + 3y = 25 (Equation No 1)x + 5y = 19 (Equation No 2)★ From Equation No 2 :-
>> x + 5y = 19
>> x = 19 - 5y
★ From Equation No 1 :-
Substitute here the value of x which we got above as (19 - 5y).
>> 4x + 3y = 25
>> 4 (19 - 5y) + 3y = 25
>> 4 × (19 - 5y) + 3y = 25
>> 76 - 20y + 3y = 25
>> 76 - 17y = 25
>> -17y = 25 - 76
>> -17y = -51
>> 17y = 51
>> y = 51 / 17
>> y = 3
★ Finding out value of x :-
>> x = 19 - 5y
>> x = 19 - 5(3)
>> x = 19 - 5 × (3)
>> x = 19 - 15
>> x = 4
Consider the figure shown below, find the value of
g
Given:
A figure of a triangle.
To find:
The value of g.
Solution:
Law of Cosines:
[tex]a^2=b^2+c^2-2bccosA[/tex]
Using the Law of Cosines for the given triangle, we get
[tex]g^2=8^2+7^2-2(8)(7)cos(65^\circ)[/tex]
[tex]g^2=64+49-112(0.4226)[/tex]
[tex]g^2=113-47.3312[/tex]
[tex]g^2=65.6688[/tex]
Taking square root on both sides.
[tex]g=\sqrt{65.6688}[/tex]
[tex]g=8.10363[/tex]
[tex]g\approx 8.10[/tex]
Therefore, the value of g is about 8.10 units.
I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
PLEASE HELP ASAP!!!!!
In the figure, line EH intersects line JF at point I.
What is the measure of ZGIH?
In ΔJKL, the measure of ∠L=90°, the measure of ∠J=18°, and KL = 6.1 feet. Find the length of JK to the nearest tenth of a foot.
Answer: 19.7
Step-by-step explanation:
Answer:
19.7
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 19 ft and a base with a diameter of 18.7 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
1739.42393 cubic foot
Step-by-step explanation:
volume of cone= 1/3× πr²h
r= d/2= 9.35ft
putting the value in the formula and calculating
l
[tex]x^{2} -x-6[/tex]
Answer:
1. (x-3)(x+2)
2. (x-5)(x-3)
3. x= 2,1
4. x= -2,-4
5. x= 3,-7
6. x= 1,-8
7. x= 5,-7
8. x= -1/3,-2
Step-by-step explanation:
Identify the area of the composite shape.
71 cm squared
98 cm squared
34 cm squared
56 cm squared
Answer:
71, the explanation is in the other question
For the bar graph, what is the total population surveyed?
A)
303
B)
3.030
3,030,000
D) 303,000
100/trandid-53868element=&difficulty=assessment&assignment id=43703088&load test=1&teach
Answer:
303
Step-by-step explanation:
I need help with this one to.
Answer:
Angle 6 and 7
Step-by-step explanation:
Supplementary angles are those angles that measure up to 180 degrees
An eagle eats about 1 bound of food in 1 day. A crow eats about 3 pounds of food in 2 days which bird eats more more food per day.
Answer:
The crow eats more food per day.
Step-by-step explanation:
eagle eats 1 pound per day.
crow eats 3 pounds/2 days -> 1.5 pounds per day
1.5 > 1
A cube has a surface area of 216 square centimeters. What is the length of each side of the cube?
Answer:
6 centimeters
Step-by-step explanation:
There are 6 sides, so each side would have an area of 216/6 = 36.
Then, since each side is a square you know that the length of one side would be [tex]\sqrt{36} = 6[/tex]
Solve for x, rounding to the nearest hundredth.
550.3^ x = 50
Answer:
- 2.18
Step-by-step explanation:
550 × [tex]3^{x}[/tex] = 50
[tex]3^{x}[/tex] = [tex]\frac{1}{11}[/tex]
[tex]log_{3}[/tex] [tex]\frac{1}{11}[/tex] = x
x = [tex]log_{3}[/tex] 1 - [tex]log_{3}[/tex] 11
[tex]log_{3}[/tex] 1 = 0
[tex]log_{3}[/tex] 11 = 2.1826583386
x ≈ - 2.18
25% of the normal price of a watch is $15. What is the normal price?
Answer:
60
Step-by-step explanation:
15 times 4
b) Here are the first four terms of another sequence.
7
11 15 19
Write an expression for the nth term of this sequence.
Answer:
Tn = 4n+3
Step-by-step explanation:
It is an Arithmetic Sequence
a=7
d=11-7 =4
Tn= a+(n-1)d
= 7+(n-1)4
= 7+4n-4
= 4n+3
I suck at math lololol
2 and 4
Step-by-step explanation:
This image shows an example on corresponding angles.
Answer:
Angle 2 and 4
uh its coordinates planes you can ss it and send it to me as the answer on here ty ill give brainlist to the first person that gets it right ty ty
Answer:
G
Step-by-step explanation:
Dude really
Answer:
A. G is the correct answer
Step-by-step explanation:
the quadrants are shown in the picture
and G. is the only one that fits the description
hope this helps <3