The rectangle and the square have the same area. Write down an
equation in terms of x and solve it.
Answers
Answer:
x² = (x-2) (x+3)
and
x = 6
Step-by-step explanation:
x² = (x-2) (x +3)
x² = x² + 3x - 2x - 6
x² = x² + x - 6
moving x² and -6 from LHS to RHS
x² - x² + 6= x
6 = x
x = 6
Related Questions
what is the midpoint of AB with A(-1, 5) and B(6, -3) A (-4, 3.5) B (1, 2.5) C (2.5, 1) D (3.5, -4)
Answers
Answer:
Option C (2.5, 1) is the right alternative.
Step-by-step explanation:
The given points are:
A = (-1, 5) = (x₁, y₁)
B = (6, -3) = (x₂, y₂)
Now,
The midpoint on X-axis is:
= [tex]\frac{x_1+x_2}{2}[/tex]
= [tex]\frac{-1+6}{2}[/tex]
= [tex]\frac{5}{2}[/tex]
= [tex]2.5[/tex]
The midpoint on Y-axis is:
= [tex]\frac{y_1+y_2}{2}[/tex]
= [tex]\frac{5+(-3)}{2}[/tex]
= [tex]\frac{5-3}{2}[/tex]
= [tex]\frac{2}{2}[/tex]
= [tex]1[/tex]
Thus the midpoint of AB is "2.5, 1".
Find the value of x
Answers
Answer:
Hello! answer: x = 4
Step-by-step explanation:
Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!
180 degree line-
180 = (8x + 120)
-120
60 = 8x
/8
7.5
x = 7.5
7(7.5) = 52.5
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answers
Answer:
y = (4/7)x + 3
Step-by-step explanation:
rise = 7 - 3 = 4
run = 7 - 0 = 7
slope = rise/run = 4/7
y-intercept = 3
---------------------
Slope intercept form is
y = mx + b
m is the slope = 4/7
b is the y-intercept = 3
the equation is
y = (4/7)x + 3
Order the numbers from least to greatest 41/50, 0.83, 80%
Answers
Answer:
80%, 41/50, 0.83
Step-by-step explanation:
80% = 0.80
41/50 = 0.82
0.83 = 0.83
BRAINLIEST
PLEASE HELP
10PTSS
A scale drawing of Julie's living room is shown below:
If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room?
Answers
Domain and range
What is the Domain and Range of the Relation
y = -5
Answers
Answer:
D: {all reals}
R: {-5}
Step-by-step explanation:
Which series is convergent? Check all that apply.
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 2 n Over n + 1 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction n squared minus 1 Over n minus 2 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts (one-fifth) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts 3 (StartFraction 1 Over 10 EndFraction) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 1 Over 10 EndFraction (3) Superscript n
There are 2 correct answers
Answers
Answer:
Step-by-step explanation:
c
Find the quotient: 5 1/7 ÷ 3
Answers
Answer:
12 /7
Step-by-step explanation:
theres no quotient
Answer:
The answer is: (12/7) OR (1 5/7) <-- (SIMPLIFIED)
Step-by-step explanation:
First you would divide your original fraction by 3 : (5 1/7 / 3= 36/21). Next, you would simplify the fraction you have know (36/21) and simplify it by dividing the numerator (top number) & denominator ( bottom number) both by 3. ( 36/3= 12) and ( 21/ 3= 7) . and so you would get your fraction 12/7 and or 1 5/7 ( if they want it to be simplified)
~ I rlly hope this helped you in any way, have a gr8 day/night my friend!~
will the area be the same or different?
Answers
Plzzzzz help for a brainly
Answers
Answer:
20cmStep-by-step explanation:
120/6=20
Answer:
20cm
Step-by-step explanation:
120/6 = 20
CHECKING YOUR UNDERSTANDING
Choose the letter of the best answer. Write the chosen letter on a separate sheet of
paper
1. A dinner plate has a diameter of 10.2 cm. What is the area of the dinner plate?
A. 81.67 cm
C. 93.84 cm
B. 85.12 cm
D. 100.02 cm
2. A dog is tied to a wooden stake in a yard. His leash is 3 m long, and he runs around
in circles pulling the leash as far as it can go. How much area does the dog have
to run around ?
A. 26.28 m2
C. 29.66 m2
B. 28.26 m2
D. 32.28 m²
3. A storm is expected to hit 7 mi in every direction from a small town of Malabon.
What is the area that the storm will affect?
A. 116.68 mi
C. 150.67 mi
B. 124.83 mi
D. 153.86 mi
4. Every December, an amusement park is constructed in Malabon Robinsons Town
mall. A carousel is the most favorite ride of the kids there. The diameter of the
carousel is 20.5 m. What is the area of the carousel?
A. 329.90 m²
C. 392.90 m2
B. 328.90 m2
D. 391.90 m2
5. A lawn sprinkler sprays water 4.5 ft in every direction as it rotates. What is the area
of the sprinkled lawn?
A. 56.885 ft
C. 63.585 ft
B. 60.855 ft
D. 65.385 ft
Answers
Answer:
1) 81.67 cm² (Option A)
2) 28.26 m² (Option B)
3) 153.86 mi.² (Option D)
4) 329.90 m² (Option A)
5) 63.585 ft.² (Option C)
Step-by-step explanation:
GENERAL FORMULAES TO BE USED IN THIS QUESTION :-
Diameter of a circle with radius 'r' = 2r
Area of a circle with radius 'r' = πr²
SOLUTION :-
1) Diameter of the dinner plate = 10.2 cm
Radius of the dinner plate = 10.2/2 = 5.1 cm
⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²
2) Length of his leash = 3m
⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²
3) Radius of the circular range of storm = 7 mi.
⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²
4) Diameter of carousel = 20.5 m
Radius of carousel = 20.5/2 = 10.25 m
⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²
5) Radius of the range of sprinkler = 4.5 ft.
⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²
Please help fast..........
Answers
Answer:
Where's the picture?
(4y − 3)(2y2 + 3y − 5)
Answers
Answer:
8y^3+6y^2-29y+15
Step-by-step explanation:
the correct expression is
(4y − 3)(2y^2 + 3y − 5)
Given data
We have the expression
(4y − 3)(2y^2 + 3y − 5)
let us open bracket
8y^3+12y^2-20y-6y^2-9y+15
Collect like terms
8y^3+12y^2-6y^2-20y-9y+15
8y^3+6y^2-29y+15
Is it possible to construct a triangle with the given side lengths?
1 ft, 6 ft, 9 ft
Yes or no?
Answers
EXPLAINTION
Hannah Borjas
What is the perimeter of the rectangle?
TH
65 feet
55 feet
A 240 feet
B 130 feet
с
3,575 feet
D
120 feet
Answers
The price of a gallon of milk follows a normal distribution with a mean of $3.20 and a standard deviation of $0.10. What proportion of the milk vendors have prices that were less than $3.12 per gallon
Answers
Answer:
[tex]P(x<3.12)= 0.21186[/tex]
Step-by-step explanation:
Mean [tex]\=x=\$3.20[/tex]
Standard deviation [tex]\sigma =\$0.10[/tex]
Estimated price [tex]y=\$3.12[/tex]
Generally the equation for P(x<3.12) is mathematically given by
[tex]P(x<3.12)=P(\frac{y-x}{\sigma}<-\frac{3.12-3.20}{0.10})[/tex]
[tex]P(x<3.12)=(z<-0.8)[/tex]
Since from Z table
[tex]P(x<3.12)= 0.21186[/tex]
Therefore the proportion of the milk vendors that have prices that were less than $3.12 per gallon is
[tex]P(x<3.12)= 0.21186[/tex]
Elena is knitting a design on a sweater. The first row has 10 stitches and each
additional row has 7 stitches more than the row before it. How many stitches are in
the 12th row?
A.74
B.70
C.87
S.86
Answers
Answer: 87
Step-by-step explanation:
This will be solved using an arithmetic progression. The formula will be:
= a + (n - 1)d
where,
a = first term = 10
d = common difference = 7
n = 12
Therefore, 12 term will be:
= a + (n - 1)d
= 10 + (12 - 1) × 7
= 10 + (11 × 7)
= 10 + 77
= 87
Therefore, the number of stitches that are in the 12th row will be 87.
Select the correct answer from each drop-down menu
The table shows the number of books Lucy borrowed from the library each month for a year
Month Number of Books
Month
Number of Books
January
14
6
February
8
July
August
September
19
March
16
12
April
14
October
May
8
November
7
June
7
December
Lucy bomowed the most books in
There were months in which she borowed fewer than 10 books
Answers
Tip: do not click on the links, it’s a scam. Also an easier way to get answers quicker is post the picture and then briefly explain the post and not the entire question. :) I hope that helps. Have a great day!
Answer:
6 Months where she borrowed less than 10,
and he borrowed the most books in August.
Step-by-step explanation:
A person invests 6500 dollars in a bank. The bank pays 6.5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 22600 dollars?
Answers
A right triangle has legs with lenghts of 7 units and 12 units. What is the area of the triangle?
Answers
Answer:
area of triangle =1/2 x b x h
Step-by-step explanation:
=1/2 x 7 x 12
= 1/2 x 84
= 42 units
Answer choices)
A. (2/3x, 2/3y)
B. (3/2x, 3/2y)
C. (1/2x, 1/2y)
D. (2x, 2y)
Please help me :((
Answers
9514 1404 393
Answer:
B. (3/2x, 3/2y)
Step-by-step explanation:
It is perhaps easiest to see that B' is 3 grid squares from the origin while B is 2 grid squares from the origin. The scale factor is the ratio of these distances:
3/2
Dilation about the origin multiplies each coordinate value by the scale factor:
(x, y) ⇒ (3/2x, 3/2y)
An airline flying to a Midwest destination can sell 20 coach-class tickets per day at a price of $250 and ten business-class tickets per day at a price of $750. It finds that for each $10 decrease in the price of the coach ticket, it will sell four more per day, and for each $50 decrease in the business-class price, it will sell two more per day. What prices should the airline charge for the coach and business-class tickets to maximize revenue? [Hint: Let x be the number of $10 price decreases for coach tickets and y be the number of $50 price decreases for business-class tickets, and use the methods in this example and this example for each type of car.]
Answers
Solution :
Let x = number of coach class tickets sold per day on $ 10 reduced price
y = number of the business class tickets sold per day on $ 50 reduced per price.
Number of the coach class tickets sold = 20 per day at a price of $ 250
Number of the business class tickets sold = 10 per day at a price of $ 750
Decrease in the price of coach class tickets by $ 10 increases the number of tickets sold by 4 per day
Decrease in the price of business class tickets by $ 50 increases the number of tickets sold by 2 per day.
Therefore, the coach price, p(x) = 250 - 10x
Business class price, p(y) = 750 - 50y
Coach tickets, q(x) = 2 + 4x
Business class tickets, q(y) = 6 + 2y
Revenue R(x, y) = p(x) q(x) + q(y) q(y)
R(x, y) = (250-10x)(20+4x)+(750-50y)(6+2y)
R(x) = (250-10x)(0.4)+(20+4x)(-10)+0 = 0
1000-40x-200-40x=0
80x = 800
x = 10
R(y) = 0 + (750 - 50y)(0.2) + (6+2y)(-50) = 0
1500 - 100y+(-300-100y) = 0
200 y = 1200
y = 6
P(x) = 250 - 10(10) = $ 150
P(y) = 780-50(6) = $450
q(x) = 20 + 4(10) = 60
q(y) = 6 + 2(6) = 18
Maximum revenue = 150 x 60 + 450 x 18
= 9000 + 8100
= $ 17100
please help me !!!!!!
Answers
Answer:
okay!
Step-by-step explanation:
its B
Answer:
C)
Step-by-step explanation:
option—B&Dwe eliminate these two options
because remember quadratic function standard form
[tex] \displaystyle f(x) = {ax}^{2} + bx + c[/tex]
recall that, if
a is negative then the graph will flip upside downbut a is positive so it won't flip upside down therefore,
these two are our answer
option-A:it seems good but it's not the answer according to the given condition however it's true for the opposite of the given condition:
option-C:it's our answer since the condition x<-2 for the quadratic function tells us everything is input For x which is less than -2 the graph-c as well yields so
likewise the absolute value function. the condition tells everything is input for x which is greater than or equal to -2 the graph also says so
hence our answer is C
write a function rule for the statement. The output is five times the input.
Answers
Answer:
y=5x
Step-by-step explanation:
If the input is x, then the out put is 5x. So y=5x
Can someone help me with this worksheet? I'm trying to check my daughter's work and I'm not sure how to do this. Showing the work would help me see where and if shes wrong.
Answers
Answer:
Step-by-step explanation:
scam . smď
Two parallel lines cut by a transversal are shown. What is the measure of X"?
Answers
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The marked angles are "alternate interior" angles, so are congruent.
(x° +20°) = (4x° -10°)
30 = 3x . . . . . . . . . . . . . . . divide by °, add 10-x
10 = x . . . . . . divide by 3
How do I get the answer
Answers
Answer:
-9Step-by-step explanation:
[tex] - |3a + \sqrt{b} | [/tex]
By putting the values of a = -4 , b = 9,
[tex] = - |3 \times ( -4) + \sqrt{9} | [/tex]
[tex] = - | - 12 + 3| [/tex]
[tex] = - | - 9| [/tex]
= -(9)
= -9 (Ans)
if topic A is very sensitive, while topic B is not sensitive at all, which of the following statements is most likely true when surveying people on the two topics?
A. Topic b requires an anonymous answer form, while topic A does not.
B. Both topic A and topic B require an anonymous answer form.
C. Topic A requires an anonymous answer form, while topic B does not.
D Neither topic A nor topic B requires an anonymous answer form.
Answers
Answer:
C.
Step-by-step explanation:
Most people do not want personal information about sensitive topics revealed about themselves, so Topic A requires anonymity.
With non-sensitive topics, people are usually comfortable with revealing their identity, so Topic B doesn't require anonymity.
Find the volume of a pyramid with a square base, where the perimeter of the base is
19.9 in and the height of the pyramid is 14.3 in. Round your answer to the nearest
tenth of a cubic inch.
Answers
Answer:
118.0 in^3
Step-by-step explanation:
Please help faster please
Answers
The correct Is $3.20