Answer:
1000-50m
Step-by-step explanation:
What is an equation of the line that passes through the points (-6, 2) and
(-4, -1)? Put your answer in fully reduced form.
Answer (assuming the equation can be written in point-slope form):
[tex]y-2 = -\frac{3}{2}(x+6)[/tex]
Step-by-step explanation:
When knowing a point the line crosses through and its slope, you can write an equation in point-slope form, or [tex]y-y_1= m (x-x_1)[/tex].
1) First, find the slope of the line. Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and the x and y values of the two points given, then solve like so:
[tex]\frac{(-1)-(2)}{(-4)-(-6)}\\= \frac{-1-2}{-4+6}\\= \frac{-3}{2}[/tex]
Thus, the slope is [tex]-\frac{3}{2}[/tex].
2) Now, use point-slope form, [tex]y-y_1= m (x-x_1)[/tex]. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{3}{2}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses through. Any of the two points will work, and I chose (-6,2) for this answer. So, substitute -6 for
[tex]y-(2)= -\frac{3}{2}(x-(-6)\\y-2 = -\frac{3}{2}(x+6)[/tex]
Elizabeth swims 50 feet in ten seconds. Jesse swims 110 feet in 20 seconds.
Reagan swims 160 feet in half a minute. Who swims fastest?
Answer: Jesse
Step-by-step explanation:
Elizabeth - 50f/10s
Jesse - 55f/10s
Reagan - 53.3333333/10s
Jesse is the fastest
Answer:
I think that Jessie swam the fastest
Step-by-step explanation:
Jessie swam the fastest bc Reagan only swims 160 feet in half a minute and 110 is less than 160 and 20 + 20 =40 so if Jessies swimming speed and time was multiplied by 2, she would still swim faster!
(sorry Im not the best at math but I hope you can understand my logic lol)
Brent's neighborhood is putting down new mulch at the playground and he is in Charge of buying the mulch. One bag covers 3 yd.². How many bags will he need?
Answer:
I don't know but 4 could be it
Step-by-step explanation:
Estimate the equation of the line of best fit for the following graphs.
Step-by-step explanation:
the one on the left (b)
y= mx+b
at x= 0 y = -2
then b= -2
at x= -1 y= 1
1= -m -2
m= -3
y= -3x -2
......
the one on the right side (d)
at x= 2 y = 1
at x= 4 y = 2
1= 2m+b
2= 4m +b
subtract
1= 2m
m= 1/2
y= 1/2 x
Evaluate the expression 9.3^1
Answer:
9.3
Step-by-step explanation:
PLEASEEE HELP ME I HAVE 1 minute left
Answer:
2/3 is answer
Step-by-step explanation:
Solve the simultaneous equations.
Please help.
Answer:
the answer is x= 5 and y = 1.5
Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.
5x - 4y = 19 (Equation No 1)x + 2y = 8 (Equation No 2)★ From Equation No 2 :-
>> x + 2y = 8
>> x = 8 - 2y
★ In Equation No 1 :-
Substituting here the value of x which we got above as (8 - 2y).
>> 5x - 4y = 19
>> 5 (8 - 2y) - 4y = 19
>> 40 - 10y - 4y = 19
>> 40 - 14y = 19
>> -14y = 19 - 40
>> -14y = -21
>> 14y = 21
>> y = 21 / 14
>> y = 1.5
★ Finding out value of x :-
>> x = 8 - 2y
>> x = 8 - 2 (1.5)
>> x = 8 - 2 × 1.5
>> x = 8 - 3
>> x = 5
what is the slope of (7,9.5) (2,7)
Answer: m=0.5
Step-by-step explanation:
Let's find the slope between your two points.
(7,9.5);(2,7)
(x1,y1)=(7,9.5)
(x2,y2)=(2,7)
Use the slope formula:
m=Let's find the slope between your two points.
(7,9.5);(2,7)
(x1,y1)=(7,9.5)
(x2,y2)=(2,7)
Use the slope formula:
y2−y1/y2−y1
7−9.5/2-7
2.5/-5 m=0.5
Answer:
[tex]\displaystyle m=0.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (7, 9.5)
Point (2, 7)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{7-9.5}{2-7}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-2.5}{-5}[/tex][Fraction] Divide: [tex]\displaystyle m=0.5[/tex]PLS HELP Select all the expressions that are equivalent to 3b
Answer:
The equivalent expressions are A. and E.
Answer:
a, b, e
Step-by-step explanation:
a= 3b
b= 3b
c= b^3
d= b+3
e= 3b
what is the initial value of the function:
f(x)=3/2(2)^x
Answer:
the initial value -- f(0) -- results in a value of 1.5
Step-by-step explanation:
f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex] (any value raised to the power of zero equals one)
f(0) = [tex]\frac{3}{2}[/tex] · 1
f(0) = 3/2 or 1.5
please help me!
Compare the graph of f(x) = 6x and the graph of g(x) = 6x – 12. Then complete the sentence. The graph of g is a _____ translation of the graph of f _____ units _____.
Answer:
The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.
The graph of g is a vertical translation of the graph of f 12 units downward.
Step-by-step explanation:
The equation y=f(x)+k represents that when k is negative, the graph moves downward.
The complete the sentence is The graph of g is a vertical translation of the graph of f 12 units downward.
What is Translation?Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
f(x) = 6x
and, g(x) = 6x – 12.
As, -12 shows the vertical translation of 12 units.
Also, The graph of g(x) is a vertical translation of f(x).
Despite having distinct y coordinates, both objects have the same x coordinates.
So, The graph of g is a vertical translation of the graph of 12 units downward.
Learn more about Translation here:
https://brainly.com/question/12463306
#SPJ2
50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 620 students in the school how many students would you expect in the entire school to prefer Coke?
Answer:
around 470 students would prefer coke
Step-by-step explanation:
50 - 12 = 38
38 / 50 = 76%
620 (0.76) = 471.2
Dawson baked one pie in 7/12 of an hour. How long will it take Dawson to bake 9 pies
Mr. Tuyen uses 7/8 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 5 weeks?
Answer:
35/8; 5 2/8
Step-by-step explanation:
7/8 × 5 = 35/8
35/8 should be simplified down to 5 and 2/8th tanks
PLSSSS HELPPPP, i need to identify slope and y intercept also have to write a linear equation!!!
Answer:
y int= 12.50
slope= 2.00
equation= y=2x+12.5
Step-by-step explanation:
the y intercept in this case is the cost when you've watched 0 movies- its the initial price you pay, or the y value when the x value is equal to 0
the slope is the cost of each movie, or the increment by which the y values goes up when the x value goes up by 1 in this case. (for example the slope would be 5 if the movie price were 5 for each one movie)
y=mx+b is the equation for a linear equation, where m is the slope and b is the y intercept.
It is important for engineers design and building so understanding the relationship between the height and volume of the building. A taller building if not billed correctly is more likely to collapse, because a small increase in height leads to a large increase in volume. an engineer builds to build a models of different sizes in the shape of square blocks . the smaller building has a height of 1m, and volume of 1m^3. The volume of the larger building is 125m^3. The height of the building, represented by X, is equal to the cube root of the buildings volume. The equation below can be used to find X, in meters. X^3=volume determine how much taller, in meters, the height of the larger building is then the smaller building.Mm
Answer:
Larger building is 4 meters taller than smaller building.
Step-by-step explanation:
Formula to get the height 'x' of a building having volume = x³ is,
x = [tex]\sqrt[3]{\text{Volume of the building}}[/tex]
Height of the smaller building,
[tex]x_1=\sqrt[3]{1}[/tex]
[tex]x_1=1[/tex]
Similarly, height of the larger building = [tex]\sqrt[3]{125}[/tex]
= [tex]\sqrt[3]{5^3}[/tex]
= 5 meters
Difference in the heights of the buildings = 5 - 1
= 4 meters
Therefore, difference is the height of larger and smaller building is 4 meters.
y = -x + 6
what’s the solution?
Answer:
Assuming you are solving for x:
x = 6 - y
Step-by-step explanation:
y = -x + 6
y + x = 6
x = 6 - y
Find the degree of 3y4+ 5y
Answer:
4
Step-by-step explanation:
(3y^4+5y) =
(3⋅y^4+5⋅y)
=4
Which are pairs of vertical angles? \
A = ∠COB & ∠COA
B = ∠BOD & ∠AOD
C = ∠COB & ∠AOD
D = ∠AOD & ∠AOC
Answer:
it is b sorry I tried to work out it best have a nice day
Answer:
a=
Step-by-step explanation:
someone give the worked solution for this please!!!!
Answer:
The scale Myra should use is one graph unit = 400 km or;
←--→ = 400 km
Step-by-step explanation:
The question relates to the representation of scale drawing
The actual distance between Perth and Sydney = 3294 kilometers
The given coordinates of Perth on the grid = (1.3, 3.4)
The given coordinates of Sydney on the grid = (9.2, 3.3)
The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;
[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]
Therefore, by substitution, we have;
[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]
d ≈ 7.9 units
Therefore, we have;
7.9 units of the graph = 3294 kilometers
1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km
Therefore, the scale Myra should use for her map is 1 unit = 400 km.
SOMEBODY PLEASE TELL ME HHOW TO MAKE FRACTIONS INTO PERCENTS WORTH 20 POINTS
Step-by-step explanation:
Easy steps!
Turn the fraction into a decimal first (or in other words, divide) (For Example: 1/2 = 0.5)Move the decimal point to the right TWO times, and voila (For example: 0.5 = 50%)Triangle XYZ is rotated 90° counterclockwise about the origin.
What are the coordinates of point Y’?
(4, –2)
(1, 4)
(–4, 1)
(–1, –4)
Answer:
i think 42
Step-by-step explanation:
Answer:
B -(1,4)
Step-by-step explanation:
PLEASE HELP!!!
The perimeter of a rectangular coffee table is given by the trinomial 2t2+4t+2. The table's length is 2t-3. What is the table's width?
Answer:
t^2+4
Step-by-step explanation:
The perimeter of the table can be given by the equation 2l+2w, and we know the length is 2t-3, meaning 2(2t-3)+2w=2t^2+4t+2, as we know 2t^2+4t+2 is the perimeter. Simplifying we get:
4t-6+2w=2t^2+4t+2
4t+2w=2t^2+4t+8
2w=2t^2+8
w=t^2+4
This means that the table's width is t^2+4
Each time you take your dog to the dog park it costs $1.75. Write an expression that represents the cost of n visits to the dog park.
Answer:
1.75n
For each visit it costs 1.75, so n visits would be the product of the two.
Step-by-step explanation:
Answer:
1.75n
Step-by-step explanation:
"every time" means multiplication.
Total cost is $1.75 multiplied by n number of trips.
(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)
Please help with what you can!
Thank you!
Answer:
The answer to number 9 is: 148.16
please help me i need help
Answer:
21/8 cups of vegetables per cup of cheese
Calculator
What is the surface area of the square pyramid represented by
the net?
Enter your answer in the box.
5 ft
ft?
Answer:
40.32
Step-by-step explanation:
I did it on Goggle
3. Solve for x. Round to the nearest tenth *
25
16
22
Answer:
51.3 degrees
Step-by-step explanation:
..A cuboid is of dimensions 100cm x 60cmx40cm
How many small cuboids of dimensions
5cm x 8cm x 10cm can be placed in the
given cuboid.
Answer:
600
Step-by-step explanation:
Volume big cuboid=100×60×40=240000cm³
Volume small cuboid=5×8×10=400
Number of small cuboids that can fit= 240000/400=600
Solve this system of linear equations. Separate the x- and y- values with a comma.
17x = 43 - 15y
8x = -68 + 15y
Answer:
(-1,4)
Step-by-step explanation:
Using elimination, add the two equations to get rid of the y variable.
17x = 43 - 15y
+8x = -68 + 15y
=25x = -25
x = -1
Now plug in -1 for x in any of the equations.
17(-1) = 43 - 15y
-17 = 43 - 15y
-60 = -15y
y = 4