Answer:
c. the slope of the line
Step-by-step explanation:
because i just know
The direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
where m is slope of line
c is the y - intercept
Given is the direct variation of a quantity.
The direct variation of a quantity in the equation of a straight line is represented by the slope of a straight line. Mathematically, we can write -
y = mx + c
for y - intercept = [c] = 0, we can write -
y = mx
m = y/x
which is the representation of direct variation.
Therefore, the direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.
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A rectangle has a width of x + 2 and a length of 2x - 1, with an area of 42 inches squared. Find the perimeter of the rectangle
Answer:
26 inches
Step-by-step explanation:
Area of rectangle
= length ×width
= (2x -1)(x +2)
= 2x(x) +2(2x) -1(x) -2 (expand)
= 2x² +4x -x -2
= 2x² +3x -2
Given that the area is 42 inches squared,
2x² +3x -2= 42
2x² +3x -2 -42= 0 (-42 on both sides)
2x² +3x -44= 0 (simplify)
(x -4)(2x +11)= 0 (factorise)
x -4= 0 or 2x +11= 0
x= 4 or 2x= -11
x= -11/2 (*reject)
Length of rectangle
= 2(4) -1
= 8 -1
= 7 inches
Width of rectangle
= 4 +2
= 6 inches
Perimeter of rectangle
= 2(width +length)
= 2(7 +6)
= 2(13)
= 26 inches
*We reject x= -11/2 because the length and the width of the rectangle would be a negative number, which is not possible.
Write the point-slope form of the line that passes through (-8, 2) and is perpendicular to a line with a slope of -8. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y - 2 = 1/8(x+8)
Step-by-step explanation:
The slope of lines that are perpendicular are each other's opposite reciprocal.
so, the reciprocal of -8 = -1/8, then find the opposite of -1/8 which is 1/8.
Point-slope form : y - y1 = m(x - x1)
(x1,y1) = (-8,2)
so, y - 2 = 1/8(x+8) is our final answer!
What is the value of the x-coordinate that is 9 units to the left of (4, -7)?
Answer:
-5
Step-by-step explanation:
a-b-c=9, solve for a
Answer:
d
Step-by-step explanation:
Answer: a = 9 +b + c
Steps: a - b - c = 9
Subtract -b and -c from both sides: a - b - c - (-b -c) = 9 - (-b -c)
Simplify: a = 9 +b + c
Plz mark brainliest:)
Which feature of the Earth is shown below and is created by farge amounts of in our core?
Answer:
C) Earth's Magnetic Field.
Step-by-step explanation:
Those lines are representing the magnetic pulls/fields that go around the Earth. Another clue that is given is the N and S, which represent North and South, which pertains to the north pole and south pole. These poles have a lot of magnetic fields around them.
Answer:
b MAntle convection currents
can someone help me find the values of y and z?
Answer:
y= 134.5 and z= 44.5 :)
Step-by-step explanation:
6z-87=180
6z=267
267/6=44.5
180-44.5=134.5
Answer:
y=99, z=81
Step-by-step explanation:
the angle above y is corresponding to 81, so if you substitute 81 in that place then it'll be angles on a straight line;
81 + y =180
(add like terms)
y =180 - 81
=99.
thus, y is 99. Once you do that, y and z are on a straight line so you solve for x using the formula for angles on a straight line;
y + (6z - 87)
(substitute y with 99)
99 + 6z - 87 =180
6z + 12 =180
(add like terms)
6z =180-12
6z =168
(divide both sides by six)
6z /6= 168/6
z = 28
(then you solve everything that was in the bracket for z)
(6z - 87)
(substitute z with 28)
=6 × 28 - 87
=168 - 87
=81
therefore, y =99 and z =81
Someone help me please
Answer:
good luck
Step-by-step explanation:
If the area of the base is 24 cm2, how would you
calculate the volume?
A V = 24h
B V = n(24)?h
CV = (24)
DV = (24)h
Answer:
AV and DV both are correct
Please help!!!
In 1/4 hour , A baker decorates 7/8 of a cake.
PLEASE HELP WORTH 25 POINTS, find a and b.
Answer:
a = 12 b = 30
Step-by-step explanation:
write the following ratio in their simplest form 25:75
Answer:
1/3 :)
Step-by-step explanation:
N/8=3/4 what is the n?
Step-by-step explanation:
n/8=3/4
n=3×8/4
n=24/4
n=6
help pls I'm not smart enough for this..
Answer:
y = 1/2x, 2:1y = 5x, 1:5y= 1.5x, 16:24y = 3x, 1:3Step-by-step explanation:
Number replaces with each corresponding value.
The number on the left is the x, and the number on the right of the colon is y.
Simply replace x and if you get the y, it is a match.
y = 1/2(2) = 1
y = 5(1) = 5
y = 1.5(16) = 16
y = 3(1) = 3
Select all the lines that have a slope of 5/2.
Click Image to Draw:
A. A
ΤΑ
B
I
В. В
C.C
D. D
E. E
Explain Your Reasoning:
Answer:
A rate of 5/2 means that:
If we move 2 units to the right, we move 5 units up.
Let's see all the graphs, the easier way to know this is:
In any point of the line, move to the right 2 units.
Then from that point, move up until you meet again with the line, if you moved 5 units, then the slope is 5/2.
A) The slope is 5/2.
B) The slope is 4/2
C) the slope is 5/2
I can not see very well graphs E and D in the image.
E) may have a slope of 5/2, you should measure it.
D has not a slope of 5/2, you can compare it with A and see that is totally different, so you can discard option D.
Lines A and C are having a slope of (5/2) and line E may have the slope of (5/2).
Step-by-step explanation:
Given information:
Line A,B,C,D and E having different slopes;
Now as we know that equation of the line is:
[tex]y=mx+c[/tex]
where, m is the slope of the line
Now, Also [tex]dy/dx=m[/tex]
Hence, the slope of the line can also be calculated according to that.
Now, as given in the graph:
Line A is having [tex]dy=10\; \text {and} \; dx =4[/tex]
Hence slope of line A
[tex]dy/dx(A)=5/2[/tex]
Similarly:
Line B is having slope of (4/2)
Line C is having slope of (5/2)
Line D is not having slope of (5/2)
And Line E may have the slope of (5/2).
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Sienna is saving for an MP3 player that costs $200. She has $50 already saved in the bank and is going to save $25 each month.
Answer:
what's the question
Step-by-step explanation:
solve for x in the literal equation −14 = xy + z.
Help i dont understand this
Answer:
b
Step-by-step explanation:
a go-karts top speed is 607,200 feet per hour what is the speed in miles per hour
Answer:
115
Step-by-step explanation:
5280 feet/mile
607200/5280=115
:>
Answer: 115 mph
Convert ft to miles
2) Use the elimination method to solve for x and y.
equation 1: -x/3 - y/6 = -4
equation 2: -x/6 + y/2 = -9
solve for y _____
solve for x _____
Answer:
1: 2x + y = 24
2: x - 3y = 54
Step-by-step explanation:
Answer:
[tex] y = - 3. \\ x = - 13.5[/tex]
Step-by-step explanation:
[tex]equation 1: -x/3 - y/6 = -4 \: \: = - \frac{x}{3} - \frac{y}{6} = - 4 \\ \\
equation 2: -x/6 + y/2 = -9 \: \: = - \frac{x}{6} + \frac{y}{2} = - 9 \\ \\ - \frac{x}{3} - \frac{y}{6} = - 4 \\ - 6x - 3y = - 72 ...(eq3.) \\ \\ - \frac{x}{6} + \frac{y}{2} = - 9 \\ - 2x + 6y = - 9...(eq4.) \\ \\ \\ 2 \times - 6x - 3y = - 72 ...(eq3.) = > - 6y = -1 44 \\6 \times - 2x + 6y = - 9...(eq4.)= > - 36y = -54 \\ - 6y - ( - 36y) = - 144 - ( - 54) \\ 30y = - 90 \\ y = - \frac{90}{30} \\ y = - 3. \\ x = - 13.5
[/tex]
What are the x-intercepts of the graph of the function y=6tan (x/2)-3? Use your graphing calculator to estimate
the answer.
(0.9273 +17,0), where n is any integer
(0.9653 +12,0), where n is any integer
(0.9273 +2n7,0), where n is any integer
(0.9653 +217,0), where n is any integer
Answer:
C on edge
Step-by-step explanation:
The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
the function is,
y=6tan (x/2)-3
we know that,
the x-intercepts of the graph of the function, we put y = 0
so, we get,
6tan (x/2)-3 = 0
or, tan (x/2) = 3/6
or, tan (x/2) = 1/2
or, x/2 = 0.4636
The period of tangent is π, so we have,
x/2 = 0.4636 + nπ
or, x = (0.9273 +2nπ)
Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
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Identify ZABF by clicking and dragging the small yellow dots to shade the
angle.
What is true about the measure of angle B?
It is twice the measure of angle A.
It is twice the measure of angle C.
It is equal to the measure of angle A.
It is equal to the measure of angle C.
Answer:
A
Step-by-step explanation:
sometimes we can determine a missing angle because we know that the sum must be a certain value... remember...the sum of the degree measure of angles in any triangle equals 180 degrees.below is a pict.of triangle ABC. where angle .A =60 degrees, angle.B=50 degrees and angle.C =70 degrees
Answer:
It is twice the measure of Angle A.
What is the unit cost per bottle if a pack of 6 bottles of juice sells for $4.80?
Answer:
4.8/6 = $0.80
Answer:
0.80
JKJKJKJKJKJ
List the domain and range of each function (1,-4),(2,-3),(3,-2),(4,-1)
Answer:
Domain are all x values
Range are all y values
Domain:(1,2,3,4)
Range:(-4,-3,-2,-1)
Help plskekekekeesmmsmxmxmxx
Answer:
1.8 mile i think but do the math cz it should be.
What is the value of x
Answer:
A, 38
Step-by-step explanation:
the 180 - 114 = 66, so the vertical angle is 66, x = 38, 38 x 2 = 76 + 38 + 66 = 180
Pls answer :(
I’ll appreciate!
Answer:
The answer would be 2.1 so it must be D
Step-by-step explanation: divide them
brainliest if right!!!
Answer:
The answer is Letter A.
Step-by-step explanation:
Find the value of x.
[tex]2x + 50 = x + 76 \\ 2x - x = 76 - 50 \\ x = 26[/tex]
Substitute x to the equation for angle 2.
[tex]2x + 50 \\ = 2(26) + 50 \\ = 52 + 50 \\ = 102[/tex]
#CarryOnLearning
Answer:
A) 102
Step-by-step explanation:
Alternative Exterior Theorem: If two parallel lines are cut by a transversal, then the pairs of alternative exterior angles are congruent.
Because of this theorem, we know that <2 and <8 are congruent, so we can set these equations to be equal to each other, like so:
2x + 50 = x + 76
Then, we need to find the x value, so solve from there.
2x + 50 = x + 76
x + 50 = 76 [Subtract x from both sides of the equal sign]
x = 26 [Subtract 50 from both sides of the equal sign]
So now that we have our x value, all we have to do is plug in that value to the <2 equation.
2x + 50
2(26) + 50
52 + 50
102
Hope this helps! I apologize if I get it incorrect,
HELP !!! A survey was conducted in a super store to study the monthly turnover in the number of clients
This survey revealed that:
• During the first month 5000 clients made their purchases from the store
• Each month 30% of the clients of the preceding month stopped to make their purchases from their
store and 1800 new clients joined the remaining clients of this store.
Denote Un the number of clients that make their purchases during the nth month
Let Un+1 = 0.7Un + 1800
1) Find U1 , U2 and U3
2) Show that the sequence Un is neither arithmetic nor geometric
3) Let the sequence (Vn) be denoted by Vn= 6000 – Un. Prove that Vn is a geometric sequence, whose
common ratio and 1st term are to be determined.
4) Calculate S = V1 + V2 + ….. + V6
5) Calculate Vn in terms of n
6) Deduce Un in terms of n
Answer:
this is a lot
Step-by-step explanation:
Answer:
Ja kmsazt zaednaie
Step-by-step explanation:
What is the answer?
Answer:
A is parallel to B
Step-by-step explanation:
This means that the two lines will never touch