Answers
Answer:
[tex]\left \{ {{y=-2x+2} \atop {y=-\frac{1}{4}x-5 }} \right.[/tex]
Step-by-step explanation:
1. the equation for the first line (its poits are (0;2) and (4;-6)):
y= -2x+2;
2. the equation for the seconde line (its points are (0;-5) and (4;-6)):
y= -1/4 x -5;
3. the required system of linear equations is:
[tex]\left \{ {{y=-2x+2} \atop {y=-\frac{1}{4}x-5 }} \right.[/tex]
Related Questions
help meeeeee plzzzzzz asap Find the area of the shaded regions.
Answers
Area of a circle is PI x r^2
The radius of the large circle is shown as 8 m
The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m
The radius of the small circle would be 2m
Area of large circle = pi x 8^2 = 64pi = 200.96 square m
Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.
Area of small circle = pi x 2^2 = 4pi = 12.56 square m.
The area of the shaded region = large - middle + small
Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.
A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at
random. (The first ball is not replaced). Find the probability that both balls are of
the same colour
Answers
Answer:
[tex]P(Same)=\frac{61}{190}[/tex]
Step-by-step explanation:
Given
[tex]Red = 5[/tex]
[tex]White = 6[/tex]
[tex]Black = 9[/tex]
Required
The probability of selecting 2 same colors when the first is not replaced
The total number of ball is:
[tex]Total = 5 + 6 + 9[/tex]
[tex]Total = 20[/tex]
This is calculated as:
[tex]P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)[/tex]
So, we have:
[tex]P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}[/tex]
Note that: 1 is subtracted because it is a probability without replacement
[tex]P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1} + \frac{9}{20} * \frac{9- 1}{20- 1}[/tex]
[tex]P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19} + \frac{9}{20} * \frac{8}{19}[/tex]
[tex]P(Same)=\frac{20}{380} + \frac{30}{380} + \frac{72}{380}[/tex]
[tex]P(Same)=\frac{20+30+72}{380}[/tex]
[tex]P(Same)=\frac{122}{380}[/tex]
[tex]P(Same)=\frac{61}{190}[/tex]
need to know how to measure the radius of m
Answers
Answer:
B. 7.4 units
Step-by-step explanation:
If M is the center then radius is just distance from M to outer edge.
2
3
TIME REMAINING
01:53:46
Which circle has a radius that measures 10 units?
10
8
20
10
G
20
Save and Exit
Answers
What is the height of these trapezoids?
Answers
4. At school 45 students take piano lessons. The ratio of the numbers of students who take piano
lessons to violin lessons is 15:8. The ratio of the numbers of students who take violin lessons to
clarinet lessons is 8:9.
a) How many students take violin lessons? (2 marks)
b) How many students take clarinet lessons? (2 marks)
Answers
Answer:
a) 24 students
b) 27 students
There are 4 seats available at a table in the lunch room of an elementary school, and 12 students are looking for seats. In how many ways can the seats at the table be filled with 4 of these 12 students?
495
2,970
11,880
20,736
Answers
Answer:
495
Step-by-step explanation:
12 Choose 4 = (12!) / 4! 8! = (12 · 11 · 10 · 9) / (4 · 3 · 2) = 495
What is the median of the data represented by the box plot?
Answers
Answer:
20
Step-by-step explanation:
20 is the median, or middle value, of all values in the data set
How many solutions does this system have?*
(2 Points)
y = -3
y = -x-4
O One Solution
No Solution
O Many Solutions
Answers
Answer:
1 solution
Step-by-step explanation:
[tex]y = - 3 \\ y = - x - 4 \\ = > - 3 = - x - 4 \\ = > - x - 4 + 3 = 0 \\ = > - x - 1 = 0 \\ = > - x = 1 \\ = > x = - 1[/tex]
Chelsea is filling a kiddie pool with water. For every
9
9
gallons of water she uses the pool fills
4
4
inches high.
If Chelsea wants to fill the pool to
15
15
inches, how many gallons of water will she use?
Chelsea will use
Answers
Answer:
33.75 gallons
Step-by-step explanation:
Determine how high the pool fills with one gallon
How high the pool fills with one gallon = 4/9 = 0.444444
The gallons needed to get the water to be 15 inches = 15 inches / 0.44 = 33.75 gallons
THIS IS URGENT WILL MARK BRAINLEST PLS HELPP
Answers
Answer:
c, 33 degrees
Step-by-step explanation:
180-105=75
180-75-72=33
Kathleen bought some glasses. She received a rebate of $50. Of her glasses cost $125, how much did she pay?
Answers
Answer:
You will pay $62.5 for a item with original price of $125 when discounted 50%. In this example, if you buy an item at $125 with 50% discount, you will pay 125 - 62.5 = 62.5 dollars.
Step-by-step explanation:
The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 2) and (6, 4). A small triangle has a rise of 1 and run of 3 and a larger triangle has a rise of 2 and run of 6. What is the equation of the line? y = 3 x y = one-third x y = one-third x + 2 y = 3 x + 2
Answers
Answer:
its c / i took the test
Step-by-step explanation:
:)
The Equation of line is y= 1/3 x + 2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given-
The points through which line passes (0, 2) and (6, 4).
So, the Slope of the line,
m = (4- 2)/ (6-0)
m= 2/6
m= 1/3
and, the Equation of line is
y- 2 = 1/3 (x - 0)
y-2 = 1/3x
y= 1/3 x + 2
3y = x+ 6
Learn more about slope here:
brainly.com/question/2564656
#SPJ6
PLEASE HELP!!!
The number of fruit flies in a kitchen triples every day. After 4 days, there are 81 fruit flies.
Which equation models the number of fruit flies after x days pass?
A. 27x=81
B. 3* = 81
C. 4* = 81
D. 3x = 81
E. 4x = 81
Answers
If it is tripling than your multiplying by 3
If x < 0 and y < 0, where is the point (x, y) located?
Answers
Answer:
Quadrant III
Step-by-step explanation:
Quadrant I -> (+x,+y)
Quadrant II -> (-x,+y)
Quadrant III -> (-x,-y)
Quadrant IV -> (+x,-y)
If x and y must both be less than 0, then they must both be negative. Therefore, Quadrant III is your answer.
Answer:
III
Step-by-step explanation:
Let g(x)=5x and h(x)=x−3. Find (g+h)(−8).
(g+h)(−8)=
Answers
Answer:
-48x + 24
Step-by-step explanation:
-8(g + h) = -8(5x + x - 3) = -8(6x - 3) = -48x + 24
Select ALL the expressions that equivalent to [tex]\frac{1}{2}[/tex]z.
B. z divided by 2
C. z·z
E. 2z
A. z + z
D. [tex]\frac{1}{4}z + \frac{1}{4}z[/tex]
Answers
z/2 also know z divided by 2
Answer:
Answer is B
Step-by-step explanation:
because is if z is divided by 2
the z is variable and 2 is constant
so I automatically convert into given question
PLS HELP IM GONNA DIE IF SOMEONE DONT HELP ME ALL OF POINTSMr. Lopez had surveyed all of his 20 student of how
long it took them to read a five chapter book. ter they
read, Mr.Lopez had 1 students that took 5 hours, 4
students that took 3 hours,5 students that took 1 hour,
10 students that took 9 hours and 1 student who took 2
hours. What is the mean IQR, mode, and median?
Answers
Answer:
Put the given data in ascending order:
1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9Mean is the average of 20:
(1*5 + 2 + 3*4 + 5 + 9*10)/20 = 5.7median = 5.7Mode is the most repeated number:
mode = 9Median is the average of the two middle numbers:
(3 + 5)/2 = 4median = 4Mean = 5.7
Median = 4
Mode = 9
Help me please
Greatest Common Factor
Answers
Answer:
Step-by-step explanation:
Let's first look at the coefficients: 10, -15, 20
The GCF of these numbers is 5 (all numbers are divisible by 5, nothing larger).
Next, let's look at the [tex]x[/tex] terms: [tex]x^{3}, x^{4}, x^{5}[/tex]
The GCF of these terms is [tex]x^{3}[/tex] (find the lowest exponent)
Finally, let's look at the [tex]y[/tex] terms: [tex]y^{5}, y^{8}, y^{6}[/tex]
The GCF of these terms is [tex]y^{5}[/tex] (find the lowest exponent)
This gives us a GCF of [tex]5x^{3}y^{5}[/tex]
Answer:
5x^3y^5
Step-by-step explanation:
factor
3 What are the factors in the expression 4(5 + x)?
2
Answers
Answer:
4 , 5 + x , 5 + x
Step-by-step explanation:
The given equation is ,
[tex] 4(5+x)^2 [/tex]
It will be factorised into ,
[tex] 4\times (5+x)\times (5+x) [/tex]
Therefore , the factors are ,
4 5 + x5 + xTriangle ABC is similar to triangle DBE.
A А
D
18 mm
k mm
с
E
투
5 mm
10 mm
What is the value of k in millimeters?
A. 27 mm
B. 12 mm
C. 13 mm
D. 9 mm
Answers
Answer:
D
Step-by-step explanation:
Amy is cutting a triangle shaped baseball pennant banner out of felt. She starts by cutting a base 6 inches long and two angles
that each measures 75º What will the third angle measure?
A)
20°
B)
25°
30°
D)
50°
Answers
9514 1404 393
Answer:
C) 30°
Step-by-step explanation:
The sum of angles in a triangle is 180°. The third angle is ...
180° -75° -75° = 30°
Answer:
the answer is 30°
Step-by-step explanation:
:)))))
I WILL GIVE BRAINLIEST IF YOU HELP THIS IS REALLY HARD FOR ME I HAVE THE FIRST TWO JUST THE LAST ONE PLEASE ALSO EXPLAIN HOW YOU GET YOUR ANSWER THANK YOU SO MUCHHH!!!!
Answers
Answer:
n ≥ -1 or n ≤ 3
Combined:
-1 ≤ n ≤ 3
Since the inequalities are ≤, it'll be a closed circle
The closed circle will start AT -1 and another closed circle will end at 3
Misha and Dontavious were asked to solve the following problem using linear programming.
A local school district can operate a large bus for $300 per day and a small bus for $200 per day. The district needs to arrange transportation for at least 360 students for a field trip and has enough chaperones to have one chaperone per bus for up to 7 buses. Each large bus can hold 60 students and each small bus can hold 45 students. What is the minimum cost for the transportation for the field trip?
Misha decided the following represented this situation:
Let x = number of large buses
Let y = number of small buses
Objective Fx: C=300x+45y
Constraints:
200+60y≥360
x+y≤7
x≥0
y≥0
Dontavious decided the following represented this situation:
Let x = number of large buses
Let y = number of small buses
Objective Fx: C=300x+200y
Constraints:
60x+45y≥360
x+y≤7
x≥0
y≥0
Decide which student set up the correct Objective function and Constraints and using that information answer the following:
a) What are the vertices for the correct feasible region?
b) What is the minimum cost for transportation for the field trip and how did you arrive at this cost?
Answers
The correct function was: Dontavious
The constraints are the number of students at least 360 and the number of buses up to 7.
Dontavious wrote the appropriate inequalities. cost is $300 for large buses and $200 for small buses. and the constraints are the number of students per bus.
a) The feasible region is where the solution spaces overlap: this creates a small triangular area with the vertices at (6, 0), (7, 0) and (3, 4).
(6, 0), (7, 0), (3, 4)
b) 3 large buses and 4 small buses would cost 3*300 + 4*200 = $1700
6 large buses and 0 small buses would cost 6*300 = $1800 dollars
The cheapest solution would be 3 large buses and 4 small buses which would cost $1700
Sylvie made the solid figures shown using unit cubes.
Which statement about these models is true?
A.The volume of Model A is 10 cubic units less than the volume of Model B.
B.The volume of Model B is 4 cubic units greater than the volume of Model A.
C.The volume of Model A and Model B combined is 54 cubic units.
D.Model A and Model B have the same volume.
Answers
Answer:
The answer is B.
"The volume of Model B is 4 cubic units greater than the volume of Model A."
Step-by-step explanation:
I just took the test and it's correct, I am sorry if it's not correct but I'm 99.9% sure it is accurate
write the following equation without using an absolute value sign. |y-x|, if y>x
Answers
Answer:
y-x [tex]\leq[/tex] 0 and y-x [tex]\geq[/tex] 0
Step-by-step explanation:
As we know,
Absolute value of any given number is the positive number itself. Therefore,
y-x [tex]\leq[/tex] 0 and y-x [tex]\geq[/tex] 0
Someone Help me please
Answers
t-9/6
Find the slope of the line with points: (5,1) and (3,4).
Answers
Answer:
m= -3/2
Step-by-step explanation:
(5,1) and (3,4)
Slope:
m=(y2-y1)/(x2-x1)
m= (4-1)/(3-5)
m=3/(-2)
m= -3/2
Here is a list of numbers. -37 -17 -13 4 25 34. Write down two numbers from the list that add up to -30. Write down two numbers from the list that have a difference of 62.
Answers
Answer:
fgxf
Step-by-step explanation:
Answer:
add up to -30: -17, -13
difference of 62: -37, 25
Step-by-step explanation:
Which number is less than -27 or -36
Answers
Answer:-27 is greater than -36
Step-by-step explanation: