Write the equation of the line passing through the points (10, 50) and (25, 20).
Answers
To write the equation, we need the slope and y-intercept.
Remember that slope is the same as rate of change
or the change in y over the change in x.
Start by setting up a table with x and y values
which I have provided below.
Filling out our table, our given points are (10, 50) and (25, 20).
In the y column, we can see that the value of y
goes from 50 to 20 so it decreases by -30.
This means that the change in y is -30.
In the x column, we can see that the value of x goes from 10 to 25
so it increases by 15 which means that the change in x is 15.
So the rate of change is -30/15 which simplifies to -2.
To find b, we can use any ordered pair
in our table as the values for x and y.
Let's use the first ordered pair.
So we have 50 = -2(10) + b.
Solving from here, we get 50 = -20 + b.
Now add 20 to both sides to get 70 = b.
So if our slope is -2 and our y-intercept is 70,
we can substitute these values into our formula.
This gives us y = -2x + 70.
Related Questions
Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.8 to negative 0.2, and then backwards from 0 to negative 0.8. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to negative 0.8 and then from negative 0.8 to negative 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to 0.8 and then from 0.8 to 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.6 to 0.2 and then from 0 to negative 0.6.
Answers
Answer:
Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line
Step-by-step explanation:
which number line shows correctly -0.8 + 0.6?
well lets write it in words minus eight tenths plus six tenths\
so minus:
you go 0.8 units to the left from 0,
then plus:
you go 0.6 units right from -0.8, getting to -0.2
since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:
we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2
The correct option is Option A: the number line goes from -1.6 to 1.6. An arrow goes from -0.8 to -0.2, and then backs from 0 to - 0.8.
What is a number line?
The number line is a straight line that is infinitely extended on which integers are placed in a unit interval.
Here given that we have to find the number line which shows -0.8 + 0.6
By checking all the options
Option A: in this option arrow goes from -0.8 to -0.2. the distance covered will be -0.2-(-0.8)= -0.2+0.8= 0.6. Then arrow backward from 0 to -0.8. then the distance will be -0.8-0= -0.8. So total displacement will be -0.8+0.6.
Hence option A is correct.
Option B: in this option arrow goes from 0 to -0.8 then the distance will be -0.8-0= -0.8. Then the arrow goes from -0.8 to -1.4. then the distance will be= -1.4-(-0.8)= -1.4+0.8= -0.6. So total displacement will be -0.8-0.6.
Hence Option B is incorrect.
Option C: in this option arrow goes from 0 to 0.8 then the distance will be =0.8-0= 0.8 then the arrow goes from 0.8 to 1.4. Then the distance will be 1.4-0.8= 0.6. So the total displacement will be 0.8+0.6
Hence Option C is incorrect.
Option D: in this option arrow goes from -0.6 to 0.2 then the distance will be 0.2-(-0.6)= 0.8 then the arrow goes from 0 to -0.6 then the distance will be= -0.6-0= -0.6. Then the total distance will be -0.6+0.8
Hence Option D is incorrect.
Therefore the correct option is Option A.
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Kim’s family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill after tip?
Answers
Answer:
51.25
Step-by-step explanation:
Multiply 62.5 by .18. You get 11.25. Subtract that from 62.5 and you get 51.25.
Answer:
Multiply the price with the tip rate
18% = 0.18
62.5 x 0.18 = 11.25
that is the tip. We add that on to find the total price
62.5 + 11.25 = 73.75
73.75 dollars is the answer. Hope this helps
Step-by-step explanation:
What is (-4,4) reflected on the x-axis
Answers
Answer:
(-4, -4)
Step-by-step explanation:
When reflecting coordinates onto x-axis, x sign doesn't change, y sign changes.
Answer:
(4,-4)
Step-by-step explanation:
That is the answer because it is like you are flipping the object so the opposite of -4 is 4 and the opposite of 4 is negative 4.
Determine the value of y in the figure, and identify whether the triangle is isosceles or equilateral. answers: y = 30°; equilateral y = 30°; isosceles y = 60°; equilateral y = 60°; isosceles
Answers
Answer: equilateral y=60
Step-by-step explanation:
The sum of all the angles in a triangle add up to 180 degrees. So, because you have the angle measurement of two sides, you can set up an equation to solve for the third side: 60+60+x=180 (do the math and you end up with y=60)
And because all three of the angle measures are equal, the triangle is defined as an equilateral triangle.
The value of y is 60° and the given triangle is Equilateral.
What are Triangles?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
We have a triangle where one of the angle is unknown.
Sum of the interior angles of a triangle is 180 degrees.
60° + 60° + y° = 180°
120° + y° = 180°
y° = 180° - 120°
y° = 60°
Equilateral triangles are those triangles whose all sides and all angles are equal.
Isosceles triangles are those whose 2 sides or 2 angles are equal.
Since all angles are equal to 60° here, this is an equilateral triangle.
Hence the given triangle is an equilateral triangle with the unknown angle equals 60°.
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A rectangular prism has a width of 6 inches and a height of 10 inches. The volume of the rectangular prism is 300 in3. What is the length of the rectangular prism?
Answers
it is 300 and 300
and 300
Answer:
its 4
Step-by-step explanation:
GIVING BRAINLIEST
Find the area of the circle if r = 5 meters. Leave the answer in terms of
A =1000 square meters
B)
A =251 square meters
C)
A = 51 square meters
D)
A = 101 square meters
Answers
Answer:
The area is 78.54 square meters
Step-by-step explanation:
The area = pi*r² r=5
A=pi*25
A≈78.54 square meters
(27)^-2/3 is equal to
Answers
Answer:
1/9
Step-by-step explanation:
(27)^-2/3=(3^3)^-2/3= 3^(-2/3*3)= 3^-2= 1/3^2= 1/9
Answer:
=1/9
Step-by-step explanation:
Apply exponent rule: a^-b=1/a^b
(27)^-2/3 = 1/(27)^2/3
Step-by-step method in attachment:
If P(-4,-2) and Q(1, -3) represent points in a coordinate
plane. If Q is the midpoint of segment PM, find M.
O (6,-4)
o(-5, -5)
O(-4,6)
(3,1)
Answers
Answer:
the answer is (6, -4)
Step-by-step explanation:
The histogram shows the scores of each participant in a game for a total of 100 participants. What is the ratio of participants who score 80 to 99 to the total number of participants? 17 participants scored 80-99
Answers
1 | 4
2| 8
3| 12
4| 16
Write a function rule for the table.
A. S=40
B. c=4s
C. s=c+ 4
D. C= 4+ S
Answers
b. c=4s
you multiply x times 4 to get y
Can someone help me ASAP with this
Answers
Answer:
C
Step-by-step explanation:
Side a has a length of 5 and b has a length of 7. From the Pythagorean Theorem, 5² + 7² = c² which means c = 8.
the diameter of a circle is 5 ft. Find the circumference to the nearest tenth(urgent)
Answers
Answer:
15.71
Step-by-step explanation:
To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5
Put in circumference formula C=2πr
c=2 x 3.14 x 2.5
c= 2 x 7.85
c=15.7
Put the value into the circle circumference formula C=2πr
Help pure people pls
Answers
Answer:
Option (B). Perimeter of the quadrilateral ABCD= 14.6 units
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).
Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
= [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83 units
Length of AD = [tex]\sqrt{(3-5)^2+(5-3)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83 units
Length of BC = [tex]\sqrt{(1-3)^2+(3+1)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
Length of DC = [tex]\sqrt{(5-3)^2+(3+1)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
Perimeter of the quadrilateral = AB + AD + DC + BC
= 2.83 + 2.83 + 4.47 + 4.47
= 14.6 units
Option (B) is the answer.
What additional information could be used to prove that
AABC - ANML? Check all that apply.
O ZB ZM
O AABC is a right triangle.
AABC was rotated and dilated by a scale factor
between 0 and 1.
AABC was translated right and down.
OLC ZL
Answers
Answer:
A
C
E
that's the answer I got it right
on Edg
A: y = 13 - 2x
B: y = 8 - x
At which point do these two lines intersect?
A. (1, 7)
B. (1.5, 3.0)
C, (1.6, 3.2)
D. (2, 9)
Answers
Answer:
Step-by-step explanation:
8 -x = 13 - 2x
x + 8 = 13
x = 5
y = 8 - 5
y = 3
(5, 3)
A baker prepares a cake mix that weighs 120 pounds. The cake mix
consists of shortening and other ingredients. The weights of the other ingredients are, 20 1/2 pounds of flour, 29 3/4 pounds of sugar, 18 1/8 pounds of milk, 16 pounds of whole eggs, and a total of 5 1/4 pounds of flavoring, salt, and baking powder. How many pounds of shortening are used in this cake mix?
Answers
Answer:
30 3/8 pounds of shortening used.
Step-by-step explanation:
20 1/2 + 29 3/4 +18 1/8 + 16 + 5 1/4 = 89.625
120- 89.625 = 30.375 pounds
0.375 as a fraction = 3/8 + 30
Therefore the total shortening used = 30 3/8 pounds
How many pounds of shortening are used in this cake mix is maximum figure as we found exact 0.375
We can do this by multiplying the 0.375 x 2 = 0.750 = 3/4
Then counteracting 4 = 1 to 8 = 1 and keeping the top fraction.
1/2 of 3/4 = 3/8
3/8 x 2 = 0.75
0.75 /2 = 0.375
Use the following information for #18
Connor makes $120 for every 10 hours he works.
#18 How much does Connor make per hour?
Answers
Answer:
$12
Step-by-step explanation:
u do 120 divided by 10 which gives u 12 which gives u per hours
hope this helps
The linear momentum is a constant when the mass varies inversely of the velocity. If the velocity is 16 meters per second and the object weighs 450 kilograms, what is the weight for an object with a velocity of 12 meters per second?
400 kilograms
600 kilograms
6,400 kilograms
7,200 kilograms
Answers
Answer:
the weight for an object with a velocity of 12 meters per second is 600 kilograms
Step-by-step explanation:
The linear momentum of an article is : p = mv
Where p = Momentum
m = mass
v = velocity
The velocity is 16 meters per second and the object weighs 450 kilograms
So, [tex]p = 450 \times 16[/tex]
We are supposed to find the weight for an object with a velocity of 12 meters per second
So, p = 12m
We are given that the linear momentum is a constant when the mass varies inversely of the velocity.
So, [tex]450 \times 16 = 12 \times m\\\frac{450 \times 16}{12}=m\\600=m[/tex]
Hence the weight for an object with a velocity of 12 meters per second is 600 kilograms
Given the information in the diagram, which theorem best
justifies why lines e and f must be parallel?
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem
Answers
Answer:
its D
Step-by-step explanation:
Just did the test. Goodluck
Answer:
d
Step-by-step explanation:
Find the volume round to the nearest tenth ( show work)
Answers
Answer:
2,144.7
4 x pi x (radius x radius x radius / 3)
4 x pi = 12.5663706
8 x 8 x 8 / 3 = 170.66
12.5663706 x 170.67 =2,144.66 rounded is 2,144.7
Hope this helps
Step-by-step explanation:
Simplify the product. Write the answer in standard form.
(x2 + 4)(x+3)
Answers
Answer:
x^3 + 3x^2 + 4x + 12
Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
Oy= 1/2x+3
Oy=-1/2x+3
Answers
Answer:
A y= -2x+3
Step-by-step explanation:
The plus 3 bring the line up 3. The negative makes the line moving down left to right. The 2 stretches the line by two.
The equation of the line in slope-intercept form is: A. y = -2x + 3.
What is the Equation of a Line in Slope-intercept Form?Equation in slope-intercept form is y = mx + b.b is the y-intercept.m is the slope of the line.Thus, find the slope (m):
Slope (m) = change in y/change in x = -2/1 = -2
y-intercept (b) = point on the y-axis where the line intersects the y-axis = 3.
Therefore, substitute b = 3 and m = 2 into y = mx + b:
y = -2x + 3
Therefore, the equation of the line in slope-intercept form is: A. y = -2x + 3.
Learn more about slope-intercept form on:
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What is the product? (x^4)(3x^3-2)(4x^2)(4x^2+5x)
(A 12x^9+15x^8-8x^6-10x^5
(B 12x^24+15x^12-8x^8-10x^4 (C 12x^9-10x^5
(D 12x^24-10x^4
Answers
Answer:
Definitely A
Step-by-step explanation:
When multiplying you add exponents.
[tex]x^{4} (3x^{2} -2) = 3x^{7} -2x^{4} \\FOIL (3x^{7} -2x^{4})(4x^{2} +5x) = 12x^{9} +15x^{8} -8x^{6} -10x^{5}[/tex]
Answer:
A)
Step-by-step explanation:
1000% sure. Use foil method and add exponents together... Also on edge.
Select the correct answer from each drop-down menu. The United States can produce 200 pillows in one week, while Spain and France produce 150 and 100 pillows, respectively, in one week. On the other hand, Spain can produce 10 televisions in one week, while the United States and France produce only 5 and 4 televisions, respectively. has an absolute advantage in producing pillows, and has an absolute advantage in producing televisions.
Answers
Answer:
The correct answers is:
The United States has an absolute advantage in producing pillows, and Spain has an absolute advantage in producing televisions
Step-by-step explanation:
Absolute advantage is a term of economics which can be defined as an ability of a person, company or country to produce a greater quantity of goods as compared to his competetors.
We can surely understand that in the pillows market, the United States has an absolute advantage as it is producing about 50 pillows more than Spain and 100 pillows more than France in one week.
Similarly, in the televisions market, Spain has the absolute advantage because Spain is producing 5 more televisions than United States and 6 more televisions than France in one week
Which rule will find the nth term of the arithmetic sequence
-58,-65, -72. -86,...?
Answers
Answer:
-85n - 7 = -92
Step-by-step explanation:
Can I get some help with this question?
Answers
Answer:
$250
Step-by-step explanation:
200/80=2.50
2.50*100=250
Answer:
$250.
Step-by-step explanation:
By proportion the cost should be 200 * 100/80
= 200*5/4
= 50 * 5
= $250.
Is (–6, 6) a solution to the equation y = –x?
Answers
Answer:
Yes
Step-by-step explanation:
Yes since y is the negative of x like 6=-(-6)
Answer:
Yes.
Step-by-step explanation:
Because 6 is Y axis and -6 is the X axis. So therefore the equation is right.
HLP ! HLP ! HLP ! Last one
Answers
I converted each equation into the form y =\<\> Mx+b to find the slope and y intercept.
We know that the slope will be positive since the line is positive linear. We also know that the y intercept is 3, since the line crosses the y axis at 3.
Since the shaded part is above the line, the sign used will be this one: >
So therefore it’s the first one....
let g(x)= -x^2+4x+4. Find g(p). g(p)=_____
Answers
Answer:
g(p)= -p^2+4p+4
Step-by-step explanation:
g(x)= -x^2+4x+4
Replace x with p
g(p)= -p^2+4p+4
Can you help me out on this question?
Answers
Answer:
4. x= 18
Step-by-step explanation:
We solve the problem like this:
Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.
3/9 = 6/x
We then use cross-multiplication to solve for x.
