Answer:
The area of flower bed is 8.96 m^2.
Step-by-step explanation:
Length of lawn = 6 x
width of lawn = x
length of flower bed = x + 4
width of flower bed = x - 1
Area of shaded region = 40 m^2
Area of the shaded region
6 x (x) - (x +4)(x -1) = 40
[tex]5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m[/tex]
As length cannot have negative value, so x = 2.4 m.
Area of flower bed = (x + 4)(x - 1) = (2.4 + 4)(2.4 - 1) = 8.96 m^2
[tex](5^{3})^{-3}[/tex] pls
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]
Note:-
[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]
[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter
Find the segment of the line segment
Answer:
(1,3)
Hope this helps! :)
10^7 is how many times as large as 3.10^3
Answer:
333831
Step-by-step explanation:
Answer:
10^7 is 10,000,000
3 x 10^3 is 3000
Therefore to find how many times 10^7 is as large as 3.10^3, divide 10,000,000 by 3000
& you’ll get 3333.3
Step-by-step explanation:
A plumber charges $30.00 per call plus $25.00 per hour. If a certain repair cost $80.00, how long does it take?
Answer:
2 hours
Step-by-step explanation:
Y=25x+30
80=25x+30
50=25x
2=x
If f(x) = -x2 + 6x- 1 and g(x) = 3x2- 4x-1, find (f - g)(x).
Answer:
[tex](f-g)(x)=-4x^2+10x[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=-x^2+6x-1\text{ and } g(x)=3x^2-4x-1[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Substitute:
[tex]=(-x^2+6x-1)-(3x^2-4x-1)[/tex]
Distribute:
[tex]=-x^2+6x-1+(-3x^2+4x+1)[/tex]
Rearrange:
[tex]=(-x^2-3x^2)+(6x+4x)+(-1+1)[/tex]
Combine like terms. Hence:
[tex](f-g)(x)=-4x^2+10x[/tex]
Please give me the answer and show me how you solved it
Answer:
11/2 miles per hour
Step-by-step explanation:
that is the procedure above
Ranking brainliest if correct :)) thanksss
Answer:
Y=40 X=75
Step-by-step explanation:
i think im not 100% on that, been a long time since i did stuff with triangles
Answer:
gdjksbdifkfnfuwiaksujdbf
solve for q: plz help
Answer:
-0.67 rounded to hundredths
Step-by-step explanation:
3×(q + 4/3) = 2
q + 4/3 = 2/3
q = -2/3 = -0.666666666666...
what are ascending number's
Answer:
Ascending order
Step-by-step explanation:
Ascending numbers are numbers that begin from smallest to biggest.
What is the inequality for this verbal description? The value of yis less than or equal to the sum of six times the value of x and three. IN O A. y56x+ 3 O B. ys 3x + 6 O c. yz 6x+ 3 O D. y: 3x + 6 SUBMIT
Answer:
y =< 6x + 3
you copypasta looks weird, but I would go for option c if i read this correctly
Which equation represents a line which is parallel to the line 7y-4x=-14
Answer:
sympathise or strategies
What is the common ratio for the sequence 1, 4, 16, 64,...?
1/4
1/2
2
4
Answer:
4
Step-by-step explanation:
each term is 4 times the previous term
the common ration is 4
Answer:
r = 4
Step-by-step explanation:
The common ratio r of the geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{1}[/tex] = 4
Which statement describes why the system has two solutions?
The length of the diameter of a sphere is 8 inches. The volume of the sphere is
_______. the surface area of the sphere
A. equal to
B. less than
C. greater than
Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.
3.1 x 22 1/2 = 69.75 rounded is 70
Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .
Given:
The sequence is:
[tex]-3,5,13,21...[/tex]
To find:
The explicit formula for the given sequence then find the 47th term.
Solution:
We have,
[tex]-3,5,13,21...[/tex]
The difference between two consecutive terms are:
[tex]5-(-3)=8[/tex]
[tex]13-5=8[/tex]
[tex]21-13=8[/tex]
The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.
The explicit formula for an arithmetic sequence is:
[tex]a_n=a+(n-1)d[/tex]
Where, a is the first term and d is the common difference.
Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get
[tex]a_n=-3+(n-1)8[/tex]
[tex]a_n=-3+8n-8[/tex]
[tex]a_n=8n-11[/tex]
Putting [tex]n=47[/tex], we get
[tex]a_{47}=8(47)-11[/tex]
[tex]a_{47}=376-11[/tex]
[tex]a_{47}=365[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.
Find the measure of KL
A. 10
B. 5
C. 7
D. 8
Answer:
[tex]ML=9,MN=8[/tex]
[tex]MK=ML+LK[/tex]
[tex]9+-3+x[/tex]
[tex]=9-3+x[/tex]
[tex]MK=6+x[/tex]
[tex]ME=MN+NE[/tex]
[tex]ME=8+x[/tex]
Now using Secant secant theorem:-
[tex]ML*MK=MN*ME[/tex]
[tex]9(6+x)=8(8+x)[/tex]
[tex]54+9x=64+8x[/tex]
Subtracting 8x and 54 on both sides:-
[tex]54+9x-8x-54=64+8x-8x-54[/tex]
[tex]x=10[/tex]
[tex]KL=-3+x[/tex]
[tex]KL=-3+10[/tex]
[tex]KL=7[/tex]
so, your answer is C) 7
-------------------------
hope it helps....
Answer:
C.) 7
Step-by-step explanation:
I got it correct on founders edtell
If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K (2,5)
K'(-2,-5)
K (2,-5)
Answer:
I think it is k(2,5) or k'(-2, -5
Step-by-step explanation:
Hope This Helps Have A Good Day
70% sure that it is K(2,5)
Help plsss 10 points
PLEASE HELP I NEED IT REALLY FAST!!!!
The length is 5
Step-by-step explanation:
Let the length be x
Width = ( X - 2)
Area = 15
area = length * width
15 = x(x -2)
15 = x² - 2x
x² - 2x - 15 = 0
(x² + 3x) - (5x - 15) = 0
x(x + 3) - 5(x + 15) = 0
x - 5 = 0 or x + 15 = 0
x =5 or x = -15
x = 5
find the hight of the tree to the nearest hundredth of a meter
Answer:
4.12m
Step-by-step explanation:
(distance of whole shadow - distance of Aisha from tree)
17.95-12.5=5.45m
17.95/5.45=3.29...(scale factor)
3.29...*1.25=4.12m(to the nearest hundredth)
There are 24 men in a room
¼ of the men are wearing red shirts
½ of the men are wearing green shirts
The remaining men are wearing blue shirts
Workout the number of men that are wearing blue shirts
Answer:
6
Step-by-step explanation:
1/4= 6 men
1/2=12 men
therefore 24-12-6=6 men
add 4312base5 3444base5 qunary number please add qunary
9514 1404 393
Answer:
13311₅
Step-by-step explanation:
Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).
Continuing in this fashion gives the sum 13311₅.
__
If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...
4311₅ +4000₅ = 13311₅
_____
The base-5 addition table is attached.
Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).
Are the lines parallel, perpendicular or neither? Show all work to justify your
response.
Answer:
neither
Step-by-step explanation:
Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8
Slope of the second line: (2-3)/4-(-4) = -1/8
They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,
Evaluate 5(x-1)-2when x=3
Answer:
3
Step-by-step explanation:
5(x-1)-2
5(2-1)-2
5×1-2
5-2
3
Hope this helps you :)
please mark brainliest
3. f(-4) - 3.9(-2) =
Answer:
Step-by-step explanation:
pls help math pls pls
How do I find RS? I've been having great trouble with questions like this recently.
Answer:
5
Step-by-step explanation:
We can solve by solving for x
2x-6 + 1 + x-4 = 18
3x-9=18
3x=27
x=9
Plug in 9 for x in Segment RS and you get (9) - 4 = 5
Hope this Helps!
Please Mark Me Brainliest!
:)
Select the correct answer. Which graph represents the solution to this inequality? A. B. C .
Answer: C
Step-by-step-explanation: Given
- (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side
- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )
- 2 ≤ x + 11 ( subtract 11 from both sides )
- 13 ≤ x , thus
x ≥ - 13
Since x can equal - 13 then a solid circle at - 13 represents the solution
Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.
Then the graph representing the solution is C
