Answers
Answer:
y = 3x -4
Step-by-step explanation:
The two pairs of x and y values are used to find the slope of the line. That and one of the pairs is used to find the y-intercept. These values are put into the slope-intercept equation to give the equation of the line through the two points.
__
Each (x, y) pair represents a point on a graph. The slope-intercept equation for a line relates all the (x, y) pairs that lie on the line. That equation is ...
y = mx +b . . . . . . where m is the slope, and b is the y-intercept
slopeThe slope is the "steepness" of the line. It is positive when the line goes up to the right, and negative when the line goes down to the right. It is 0 for a horizontal line.
The slope is found from (x, y) pairs using the formula ...
m = (y2 -y1)/(x2 -x1) . . . . . . where (x1, y1) and (x2, y2) refer to different pairs
m = (8 -(-1))/(4 -1) = 9/3 = 3 . . . . using the (x, y) values from the table
y-interceptThe y-intercept (b) is the y-value where the line crosses the y-axis. It can be found by rearranging the slope-intercept equation shown above:
b = y - mx . . . . . . . for a line with slope m and a point (x, y) on the line
Using the first point listed in the table with the value of m we just found, we see that b is ...
b = -1 - 3(1) = -4 . . . . . . for (x, y) = (1, -1) and m = 3
equationNow that we have found m=3 and b=-4 for the points in the table, we can put these values in the slope-intercept equation:
y = mx +b
y = 3x -4 . . . . . equation of the relationship in the table
Related Questions
if a card is drawn at random from a deck of 52 cards, and then a fair coin is flipped, what are the total number of possible outcomes?
Answers
Considering that you are only drawing one card, the total outcome would remain at 52. However, because the coin has two sides, we must multiply 52 by 2 to get 104
Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally opposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot.
A.
40 feet
B.
80 feet
C.
117 feet
D.
160 feet
Answers
Answer:
C) 117 Feet
Step-by-step explanation:
The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.
100^2+60^2=c^2
10000+3600=c^2
c^2=13600
c=116.6190379
Round --> 117
Thus the answer, C).
What is the value of x?
Answers
Answer:
14
Step-by-step explanation:
4x + 2x + 6 = 90
6x + 6 = 90
6x = 84
x = 14
I have been stuck on this math equation for 15 minutes. Someone please help me!
Write the equation in standard form for the circle 3x^2+3y^2-54x+129=51y
Answers
Answer:
(x−9)²+(y−[tex]\frac{17}{2}[/tex])²=[tex]\frac{441}{4}[/tex]
Step-by-step explanation:
How do I factor this polynomial?
(30x^3 + 15x^2 + 45x)
Answers
Answer:
Step-by-step explanation:
Answer: [tex]15x(2x^2+x+3)[/tex]
Step-by-step explanation:
[tex](30x^3 + 15x^2 + 45x)[/tex]
1. factor out 15x
[tex]15x(2x^2+x+3)[/tex]
what least number should 27648 be divided so that the quotient will be a cube number
Answers
27648 = 2^10 x 3^3 = 2 x 2^9 x 3^3 = 2x (2^3 x 3)^3 = 2 x 24^3
So if 27648 is divided by 2 the quotient is a cube number
Method B - test the list of cubic numbers to find the biggest factor of 27648
The cubic factors are 1, 8, 27, 64, 216, 512, 729, 1728, 4086, 5832, 13824
Method C - divide by factors starting with 1 until quotient is a cube
27648 / 1 = 27648 fail
27648 / 2 = 13824 = 24^3 correct
inserts a digit to make numbers that are divisable by 24 if its possiable 38_36
Answers
Answer:
168
Step-by-step explanation:
How many people out of 100,000 will survive until age 90?
Answers
Answer:
21,526 people
Step-by-step explanation:
In Exercises 3–8, use the box-and-whisker plot to find the given measure.
Answers
Answer:
3. The least value is 3.
4. The greatest value is 14.
5. The third quartile is 11
6. The first quartile is 6
7. The median is 8.
8. The range is 3-14.
Step-by-step explanation:
2. Find the variation constant and an equation of variation where y varies inversely as x and y=9 when x=2.
Answers
Answer: y=108
Step-by-step explanation:
Answer:
k = 4.5
y = 4.5x
Step-by-step explanation:
Finding the variation constant, k :
k = y/xk = 9/2k = 4.5Equation of variation :
y = kxy = 4.5xMy original answer was 18, 1.92, -1, -5.5 but it is wrong on the form so what did i do wrong?
Answers
Juan bought 48 ounces of nuts at the store. How much is this in pounds?
Answers
7/11 of a class walk to school. What fraction of the class did not walk to school
Answers
Answer:
4/11 of the class did not walk to school.
Step-by-step explanation:
11/11 - 7/11 = 4/11
Triangle ABC represents a triangular garden with side lengths AB= 10cm ,BC= 8cm and AC=15cm .
What is the smallest and largest angle of the garden?
Answers
Answer:
Largest angle is "B" and smallest angle is "A".
Step-by-step explanation:
Given ∆ABC
AB = 10 cm , BC = 8 cm , AC = 15 cm
Angle opposite to side AB is "C"
Angle opposite to side BC is "A"
Angle opposite to side AC is "B"
we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.
Here,∆ABC largest side is AC and smallest side is BC.
Hence,largest angle is "B" and smallest angle is "A".
Round to the nearest two decimal places
Answers
98.01 = 42.25 + b^2
Sqrt of 55.76 = b
b = 7.46726
≈ 7.47
Hope this helps :)
Complete a table for the equation
Answers
Answer:
Nothing provided
Step-by-step explanation:
A swimming pool in a certain resort is enjoyed by people because it has a floor measurement of 8 ft by 12 ft and a depth of 9 ft. How much water can it contain?
Answers
Answer:
864 ft3
Step-by-step explanation:
length = 12 ft
width = 8 ft
depth = 9 ft
Volume = ? = length * width * depth
plis help me!!!!!!!!!!!!!! it is very difficult for me
Answers
Answer:
See below ~
Step-by-step explanation:
Kindly note the 2nd equation in the above question formed will be :
2x + 4y = 20
The plotted graph is correct and it shows that the intersection of the lines (the solution) is at (2, 6), which means :
x (number of chickens) = 6y (number of sheep) = 2a) What percentage of 5³ is 5?
b) What percentage of 5³ is 5²?
Answers
Step-by-step explanation:
a) 5³= 5*5*5 = 125
5/125*100%
4%
b) 5²=5*5=25
25/125*100%
20%
Find the gradient of the graph shown
Answers
Points on graph (0,5) and (-5,0)
X is -5 - 0 = -5
Y is 0 - 5 = -5
Y/x = -5/-5
Slope is 1
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 135 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight of 255 kilograms. How much does each type of box weigh?
Answers
Answer:
Small box = 9 Large box = 27
Step-by-step explanation:
135 divided by 5 = 27. 27 divided by 3 = 9
Repeat same process for second half of the equation.
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 76m wide. Find the area of the training field. Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.
Answers
If the radius of the semi-circle is 38 m. Then the area of the training field will be 11,908.459 square meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97 m long and 76 m wide.
Then the radius of the semi-circle will be
2r = 76
r = 38 m
Then the area of the training field will be
Area = area of rectangle + 2 x area of semi-circle
Area = 97 x 76 + 2 x (1/2) x π x 38²
Area = 7372 + 4536.459
Area = 11908.459 square m
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ1
We can use division to solve real-life problems, such as: We can use division to solve real-life problems, such as:
Answers
Answer:
we can use division to solve real life problem such as: how much candy each of 5 students will receive if 20 candy are shared equally
Step-by-step explanation:
cause 20/5 = 4
Can someone please find the coordinates for these shapes? pls I will mark them with Brainliest pls
Answers
Answer:
What shapes?!?! I can help you if you add an image of the shapes :)
Step-by-step explanation:
What is the area of the triangle given below?
Answers
Answer:
26
Step-by-step explanation:
x-y=5
3x+y=3 can you pleas help me find x and y
Answers
Answer:
x= 2, y= -3
Step-by-step explanation:
Given two equations, we can solve them by either substitution or elimination method. Let's solve by substitution!
x -y= 5
Rewrite this equation such that one of the variable is the subject of formula, so that we can substitute this equation into the second.
x= y +5 -----(1)
3x +y= 3 -----(2)
Substitute (1) into (2):
3(y +5) +y= 3
Expand:
3y +15 +y= 3
4y= 3 -15
4y= -12
y= -12 ÷4
y= -3
Substitute y= -3 into (1):
x= -3 +5
x= 2
easy question quickly please!!!
Answers
Answer:
D
Step-by-step explanation:
4 x 8 = 32
4 x 16 = 64
4 x 32 = 128
4 x 64 = 256
They can be multiplied by something and 4
Solve: 4+1.8x = 8 (1+0.1x)
A. There are infinitely many solutions.
B. x = -3
C. x = -4
D. x = 4
Answers
[tex]4+1.8x=8+0.8x\\\\4+1.0x=8\\\\1.0x=4\\\\x=4\\[/tex]
the answer is x = 4.
A shipping box is in the shape of a rectangular prism. it has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. what is the height of the box? 15 in. 20 in. 300 in. 600 in.
Answers
The height of the shipping box in the shape of a rectangular prism is 15 inches
How to determine the height of the box?The given parameters are:
Volume = 9000 cubic inches
Base dimensions = 20 inches by 30 inches
The height of the prism is then calculated using:
Height = Volume/Base Area
So, we have:
Height = 9000/(20 * 30)
Evaluate
Height = 15
Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches
Read more about volume at:
https://brainly.com/question/1972490
#SPJ4
Question 39 of 40
The circle below has a radius of 8 centimeters. What is the area of the shaded
region?
X
120°
8 cm
OA. 32 square centimeters
B. 8 square centimeters
64
3
square centimeters
square centimeters
O C.
O D.
16
3
Answers
Convert angle to radians
120=2π/3So
Area
r²Ø/28²(2π/3)(1/2)64π/3cm²Answer:
[tex]\textsf{C.} \quad \dfrac{64 \pi}{3} \: \sf square\:centimeters[/tex]
Step-by-step explanation:
Formula
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]
Given:
[tex]\theta[/tex] = 120°r = 8 cmSubstitute the given values into the formula and solve for Area:
[tex]\large \begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi (8)^2\\\\& =\left(\dfrac{1}{3}\right) \pi (64)\\\\& =\dfrac{64}{3} \pi \: \sf cm^2\end{aligned}[/tex]