Answer: 9 sq. ft
The area of a square is: A = a²
A = 3²
A = 9
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Which equation represents a line which is parallel to the line 7x-5y=-30?
Answer:
Y=7/5x+8
Is the answer to question don't ask me how I know I cheated
The equation y = 7x/5 + b represents a line which is parallel to the line 7x-5y=-30.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
We have an equation,
7x-5y=-30
Simplifying,
y = 7x/5 + 30/5
y = 7x/5 + 6.
The general formula of line parallel to a given line is,
y = 7x/5 + b, where b is the y-intercept of the line.
Therefore, y = 7x/5 + b is the required line.
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Write the equation of the line that is perpendicular to the line y=(-1/5)x+9 and passes through the point (-2,-2)
Answer:
y = 5x + 8
Step-by-step explanation:
Recall that if two lines are perpendicular, their slopes are negative reciprocals of one another. Thus, given y = (-1/5)x + 9, the slope of any perpendicular is
-1
m = --------- = 5
(-1/5)
Starting out with the slope-intercept equation y = mx + b, we get:
-2 = 5(-2) + C, or C = 8
Thus, the desired equation is
y = 5x + 8
The equation of the line that is perpendicular to the given line is y=5x+8.
Given that, the equation of line y=(-1/5)x+9 and passes through the point (-2,-2).
What is slope of an equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
If m is the slope of a line, then the slope of a line perpendicular to it is -1/m.
Now, slope =-1/5
-1/m = 5
Put m=5 and the point (-2, -2) in y=mx+c and simplify
That is, -2=5(-2)+c
⇒c=8
Substitute m=5 and c=8 in y=mx+c, we get y=5x+8
Therefore, the equation of the line that is perpendicular to the given line is y=5x+8.
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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.
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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Pls answer :(
I’ll appreciate!
Answer:
The answer would be 2.1 so it must be D
Step-by-step explanation: divide them
Help i dont understand this
Answer:
b
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
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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:
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 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
which is the greatest among root 2, 3 root 4 and 4 root 3?
Answer:
4^1/3 is greatest among the given
Step-by-step explanation:
√2 , 4^1/3 , 3^1/4
Find the LCM of 2, 3 , 4= 12
i ) √2 =2^1/2 = 2^6/12=(2^6)^1/12
= (64)^1/12
ii ) 4^1/3 = 4^4/12 = (4^4)^1/12
= (256)1/12
iii )3^1/4 = 3^3/12 = ( 3³ )^1/12
= (27)^1/12
Therefore ,
(256)^1/12 > (64)^1/12 > (27)^1/12
4^1/3 > 2^1/2 > 3^1/4
4^1/3 is greatest among the given
number
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
What is the answer?
Answer:
A is parallel to B
Step-by-step explanation:
This means that the two lines will never touch
What is the prime factorization of 312
A.) 2 x 2 x 2 x 3 x 13
B.) 2 x 2 x 3 x 51
C.) 2 x 2 x 3 x 3 x 17
D.) 2 x 2 x 2 x 9 x 51
Answer:
A.) 2 x 2 x 2 x 3 x 13
Step-by-step explanation:
here is the factor tree for 312
Hope this helps! :)
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
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
write the following ratio in their simplest form 25:75
Answer:
1/3 :)
Step-by-step explanation:
What is the value of the x-coordinate that is 9 units to the left of (4, -7)?
Answer:
-5
Step-by-step explanation:
solve for x in the literal equation −14 = xy + z.
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:
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
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 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
Please help this is due today. I will give brainliest
Answer46789
Step-by-step explanation:
Answer:
35 40 45 50
Step-by-step explanation:
0 minutes is 35 cause of the monthly bill then naxt is 40 because the bill but plus 100 minutes so add five just keep adding five
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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Which of following BEST defines climate?
Answer:
climate is the weather in a part of the world.
Answer:
Try C: Average weather conditions of a region over the long term
Hope this helps!
The lengths of two coasters are the ratio 3:20. The length of the short roller coaster Is 360m. What is the length of the longer roller coaster? Give your answer in kilometres
Answer:
2400KM hope this helps sorry if im
wrong
im not good with ratios and unit conversion
Determine whether the relation is a function.
H={(6,-3), (5,-3), (4,-3), (3,-3), (2,-3)}
Does the given relation represent a function?
Yes
No
Answer:
Yes
Step-by-step explanation:
In a function, an x value can never repeat. This is basically the only rule (that I know of), so, the given values can represent a function.