The length of the rectangle is 11.24 inches (approx.)
We have a rectangle whose area is 107.52 in² and its width is equal to 9.6 inches.
We have to determine its length.
What is the area of a Rectangle?The area of a rectangle is -
A(R) = Length x Breadth = L x B
According to the question -
Area of rectangle (A) = 107.52 square inches.
Width of rectangle (B) = 9.6 inches.
We know -
Area of a rectangle = L x B
Therefore -
107.92 = L x 9.6
[tex]$L=\frac{107.92}{9.6}[/tex]
L = 11.24 inches (approx.)
Hence, the length of the rectangle is 11.24 inches (approx.)
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On a coordinate grid, has endpoints A(4, – 2) and B(x, y). The midpoint of is (– 3, 1). What is the x-coordinate of point B?
Answer:-10
Step-by-step explanation:
Formula for mid point is :
Mid point = ( (x1+x2)÷2 , (y1+y2)÷2) )
So, X1 = 4
X2 = X
Y1 = -2
Y2 = y
Now, use the formula
(-3,1) = ( (4 + x)÷2 , (-2+y)÷2) )
Now divide the sides for yourself to solve for midpoint for X and y separately
-3 = (4+x) ÷ 2 and 1 = (-2+y) ÷ 2
This is because 3 is the x coordinate of the mid point of A and B , so we equate it to (4+x) ÷ 2 because this expression basically gives us the x coordinate of mid point of A and B. So we already have the x coordinate of midpoint which is -3 so we can use this to find X coordinate of point B
So then we solve it by multiplying the 2 with -3 which gives -6
-6 = 4+X
Shift 4 on the other side and it will become negative 4
-6-4 = X
X = -10
Answer:
B (-10,4)
Step-by-step explanation:
Given A (4,-2) and midpoint M (-3,1) we can find equation of the line
y = mx +b
slope m = raise / run
m = (y1 - y2) / (x1 - x2)
m = (-2 - 1) / (4 - -3)
m = -3 / 7 = -3/7
given the midpoint M, then point B (x,y) must have the same length and slope as AM. So point B must have twice the rise and twice the run.
Slope was -3/7 so segment AB must be 2(slope) = -6/14, so from point A, point B will be from A (4,-2)
raise = y1 - y2 = -6
-2 - y2 = -6
-y2 = -6 + 2
y2 = 4
run = x1 - x2 = 14 = 4 - x2
14 - 4 = -x2
x2 = -10
A - 2 + 3 = -2 pls answer
Answer:
-3
Step-by-step explanation:
Bring -2 to the other side and A to the other side
-2 Become 2 because of flipping
And A becomes -A because of flipping
2-2+3=-A
Flip the whole equation to avoid confusion
-A=2-2+3
-A=+3
Bring the minus sign to the other side,
A=-3
-3 -2 +3 = - 2
Which make the statement correct.
I hope this explanation helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!
Answer: A = -3
Step-by-step explanation:
A - 2 + 3 = -2
...............+2..............
..... A + 3 = 0
................-3..............
............ A = -3
HELP DUE IN 5 MINS!
SOLVE FOR Y
2 = -3/10y - 7
Y = -9 *10/3 = -30
Minus of thirty (-30) is right answer
[tex]2 = \frac{ - 3}{10y} - 7 \\ \\ 2 + 7 = \frac{ - 3}{10y} \\ \\ 9 = \frac{ - 3}{10y} \\ \\ \frac{9 \times 10}{ - 3} = y \\ \\ \frac{ - 90}{3} =y \\ \\ - 30= y \\ \\ y = - 30[/tex]
I need help! operations with mixed numbers
Answer:
your answer is (B) 2 2/9
I hope it's helps you
Determine if 0.054227406110177... is rational or irrational and give a reason for
your answer.
0.054227406110177... is an irrational number.
What are the two types of number that exists ?There are only two types of number in which all the other subsets of numbers resides they are real numbers and imaginary numbers.
According to the statement given we have to determine whether 0.054227406110177... is rational or irrational.
We know rational numbers are of two types one which has a repeating pattern after the decimal so after that 1 repeating cycle we terminate the digits after it and write.
Next type of rational number which has a recurring pattern means a single digits repeats so we terminate every digit except one after the decimal place and write.
0.054227406110177... here we neither see repeating pattern nor do we see terminating pattern so this is an irrational number.
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What is the value of x in 2(5x) = 14?
A.
0.34
B.
1.15
C.
1.21
D.
219.33
Answer: 1,4
Step-by-step explanation:
2(5x) = 14
10x = 14
x = 14/10
x = 1.4
Answer:
the value of x in 2 (5 ^ x) = 14 is:
c. 1.21
Step-by-step explanation:
How did you get 95/12, there is no way
[tex]Hello[/tex] [tex]There![/tex]
There is simple no way, for me to answer this.
Because, this answers doesn't exist. :)
[tex]AnimeVines[/tex]
PLEASE HELP ASAP Due in 1 day!!!
Question 1
Find(f+g)(x)
f(x)=4x−4 and g(x)=2x^2−3x
Question 2
Find(f−g)(x)
f(x)=2x^2−2 and g(x)=4x+1
Question 3
Find(h⋅g)(x)
h(x)=3x−3 and g(x)=x^2+3
Question 4
Find(f/g)(x)and state the domain restriction.
f(x)=x+4 and g(x)=x+6
Step-by-step explanation:
Q1 . (f+g)(x) = f(x) + g(x)
=4x-4 +2x^2 -3x
= 2x^2 + x -4
Q2. (f-g)(x) = f(x) - g(x)
= 2x^2−2 - (4x+1)
= 2x^2 -2 -4x -1
= 2x^2 - 4x -3
Q3. h(x)=3x−3 and g(x)=x^2+3
(h.g)(x) = h(x) × g(x)
= (3x-3) × (x^2 + 3)
=3x^3 -3x^2 + 9x -9
Q4.f(x)=x+4 and g(x)=x+6
(f/g)(x) = f(x) ÷ g(x)
= x+4 / x+6
the domain restriction is x>-6
x<-6
x doesn't equal (-6)
If the two function f(x) and g(x) are to be combined, use basic arithmetic rules,
(f + g)(x) = f(x) + g(x)
(f - g)(x) = f(x) - g(x)
[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]
(f . g)(x) = f(x) × g(x)
Question 1
f(x) = 4x - 4 and g(x) = 2x² - 3x
[tex](f+g)(x)=f(x)+g(x)[/tex]
Therefore, [tex](f+g)(x)=(4x-4)+(2x^2-3x)[/tex]
[tex]=2x^2+x-4[/tex]
Question 2
f(x) = 2x² - 2 and g(x) = 4x + 1
Since, (f - g)(x) = f(x) - g(x)
Therefore, (f - g)(x) = (2x² - 2) - (4x + 1)
= 2x² - 2 - 4x - 1
= 2x² - 4x - 3
Question 3
h(x) = 3x - 3 and g(x) = x² + 3
Since, (h - g)(x) = h(x) - g(x)
Therefore, (h - g)(x) = (3x - 3) - (x² + 3)
= 3x - 3 - x² - 3
= -x² + 3x - 6
Question 4
F(x) = x + 4 and g(x) = x + 6
Since, [tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]
Therefore, [tex](\frac{f}{g})(x)=\frac{x+4}{x+6}[/tex]
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Please help! You don’t have to explain how you got the answer! Tysm.
IMMEDIATELY I NEED THIS DONE IN FIVE MINUTES Match the values with the equivalent percentages.
35% of 150
30% of 15
20% of 50
10% of 20
45% of 200
2
4.5
10
>
52.5
Answer:
35% of 150=52.5
20% of 50=10
10% of 20=2
45% of 200=90
When multiplying two negative numbers, what kind of number does one always get for an answer?
Zero
Positive number
Depends on the numbers
Negative number
When we multiply two negative numbers, one always gets a positive number.
(-)×(-)= +
Hope it helps
the product of a number and cube root of twenty seven
Answer:
If you have a calculator with a "Y^X" function, you can raise 27 to the (1/3) power to get the cube root. Or, take the logarithm of 27, divide it by 3, and then find the anti log. That is, find the base 10 log of 27, divide it by three, and then compute 10 ^ that number. (Or of course you can use the base e log and raise e to the number.)
If you are willing to get into complex numbers, you can find that there are actually three cube roots of 27. One of them is 3. To find the other two, use de Moivre's formula (from Wikipedia):
If z is a complex number, written in polar form as
then the n nth roots of z are given by
where k varies over the integer values from 0 to n − 1.
This formula is also sometimes known as de Moivre's formula.
This leads to the two complex roots,
3 x ( (cos 120 degrees) + i x sin(120 degrees) ) and
3 x ( (cos 240 degrees) + i x sin(240 degrees) ).
These work out to be approximately:
3 x (-0.5 + i x 0.866) and
3 x (-0.5 - i x 0.866).
Step-by-step explanation:
\lim _{x\to 0}\left(\frac{2x\ln \left(1+3x\right)+\sin \left(x\right)\tan \left(3x\right)-2x^3}{1-\cos \left(3x\right)}\right)
[tex]\displaystyle \lim_{x\to 0}\left(\frac{2x\ln \left(1+3x\right)+\sin \left(x\right)\tan \left(3x\right)-2x^3}{1-\cos \left(3x\right)}\right)[/tex]
Both the numerator and denominator approach 0, so this is a candidate for applying L'Hopital's rule. Doing so gives
[tex]\displaystyle \lim_{x\to 0}\left(2\ln(1+3x)+\dfrac{6x}{1+3x}+\cos(x)\tan(3x)+3\sin(x)\sec^2(x)-6x^2}{3\sin(3x)}\right)[/tex]
This again gives an indeterminate form 0/0, but no need to use L'Hopital's rule again just yet. Split up the limit as
[tex]\displaystyle \lim_{x\to0}\frac{2\ln(1+3x)}{3\sin(3x)} + \lim_{x\to0}\frac{6x}{3(1+3x)\sin(3x)} \\\\ + \lim_{x\to0}\frac{\cos(x)\tan(3x)}{3\sin(3x)} + \lim_{x\to0}\frac{3\sin(x)\sec^2(x)}{3\sin(3x)} \\\\ - \lim_{x\to0}\frac{6x^2}{3\sin(3x)}[/tex]
Now recall two well-known limits:
[tex]\displaystyle \lim_{x\to0}\frac{\sin(ax)}{ax}=1\text{ if }a\neq0 \\\\ \lim_{x\to0}\frac{\ln(1+ax)}{ax}=1\text{ if }a\neq0[/tex]
Compute each remaining limit:
[tex]\displaystyle \lim_{x\to0}\frac{2\ln(1+3x)}{3\sin(3x)} = \frac23 \times \lim_{x\to0}\frac{\ln(1+3x)}{3x} \times \lim_{x\to0}\frac{3x}{\sin(3x)} = \frac23[/tex]
[tex]\displaystyle \lim_{x\to0}\frac{6x}{3(1+3x)\sin(3x)} = \frac23 \times \lim_{x\to0}\frac{3x}{\sin(3x)} \times \lim_{x\to0}\frac{1}{1+3x} = \frac23[/tex]
[tex]\displaystyle \lim_{x\to0}\frac{\cos(x)\tan(3x)}{3\sin(3x)} = \frac13 \times \lim_{x\to0}\frac{\cos(x)}{\cos(3x)} = \frac13[/tex]
[tex]\displaystyle \lim_{x\to0}\frac{3\sin(x)\sec^2(x)}{3\sin(3x)} = \frac13 \times \lim_{x\to0}\frac{\sin(x)}x \times \lim_{x\to0}\frac{3x}{\sin(3x)} \times \lim_{x\to0}\sec^2(x) = \frac13[/tex]
[tex]\displaystyle \lim_{x\to0}\frac{6x^2}{3\sin(3x)} = \frac23 \times \lim_{x\to0}x \times \lim_{x\to0}\frac{3x}{\sin(3x)} \times \lim_{x\to0}x = 0[/tex]
So, the original limit has a value of
2/3 + 2/3 + 1/3 + 1/3 - 0 = 2
Evaluate. 4.2 - 6 divided by 2 + 3
[tex]\large \mathfrak{Solution : }[/tex]
[tex] {4}^{2} - 6 \div 2 + 3[/tex][tex]16 - 3 + 3[/tex][tex]16[/tex]Mr. Smith played golf for 5 straight days.
His scores were -6, -5, +1, -3 and +2.
What was his total?
Answer:
-11
Step-by-step explanation:
If you know how to play golf, you'll know that when you see a negative sign infront of a number, thats good.
So starting off with -6 and -5. That makes -11
Take -11 and +1, thats -10
Take -10 and -3 thats -13
Take -13 and +2 thats -11
Someone plz help me !!
Answer:
The greatest common factor of 64 and 72 is 8.
<RQT is a straight angle. What are m<RQS and m<TQS
Answers:
x = 11angle RQS = 106 degreesangle SQT = 74 degrees===========================================================
Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degreesangle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degreesNote how the two results add to 106+74 = 180 to help confirm the answers.
What is the solution of this quadratic equation? x2 + 10 = 0
Answer:
-5
Step-by-step explanation:
put the 10 on the other side of the = wich will change it to -10 then do -10/2 and x2/2 to get x=-5
What is the answer for 4.23 is less than 4.135?
is 4.23 less than 4.135
its not its larger
f(x) = −x + 5 with domain [−3, 2] What is the range
BRAINLIEST AWAITS!
Give one way to write each algebraic expression in words
Answer:
Step-by-step explanation:
1) What will you get if you add a number to 3?
2) Cost of a pen is $2. What is the cost of x pens?
3) y less than 5
4) What is quotient of n and 4?
5) What is the sum of 10 and t ?
6) Product of 3 and s
1*a sum of number and three
2*the product of two and a number
3*the difference of a number and five
4*the ratio of number and four
5*a sum of number and ten
6*the product of a number and three
O Hope it helps*
Find the radius of a circle that has an area of 19.625
Answer:
385.3369[tex]\pi[/tex]
Step-by-step explanation:
385.3369[tex]\pi[/tex]
Can SOMEONE PLEASE HELP ME I NEED HELP!!!! :( PLEASEE
Answer:
5).
According to the question,
CD+DE=CE
2+13=2x-3
15=2x-3
15+3=2x
18=2x
18/2=x
8=x
6).
According to the question,
AB+BC=AC
5x-16+3x-6=2x+20
8x-22=2x+20
8x-2x=20+22
6x=44
x=44/6
x=7.33
Step-by-step explanation:
......
Step-by-step explanation:
DE = 13
2 + 2x - 3 = 13
2x - 1 = 13
2x = 12
x = 12/2
x = 6
Select all the numbers that are irrational.
2
173
2.368423...
3.33
V9
51
100
The x-intercept of f(x) = log x is (
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The x-intercept of any log function is x=1.
|3x-4|=|3x-5|
What does x=??
The lines are for absolute value
Answer:
answer down below <3
Step-by-step explanation:
please help!!!!!
what is -x+2x???
A submarine is 3,500 m below sea level. It comes
up by 560 m and then goes down by 1,250 m. If we
consider sea level to be zero, what is the current
position of the submarine?
Answer:
4190 m
Step-by-step explanation:
3500-560=2940
2940+1250=4190
I need help and I’ll mark you as a brainliest
Answer:
the top one is 30 the second one is 60.22 the third one is 66.7 the forth one is 59.8
21 feet
You are standing 21 feet from a tree. You have a 25-inch stick you are holding 35 inches from your eye. You see that the top of the tree
exactly matches the top of the stick you are holding. The bottom of the stick exactly matches the bottom of the tree. How tall is the tree?
Step-by-step explanation:
don't know man I don't know it