Answer:
252 centimeters squared is the answer.
The area of the rectangle is 252 cm².
What is a rectangle?A rectangle is a plane shape that has pair of opposite sides and angles equal
To calculate the area of a rectangle, we use the formula below.
Formula:
Area of a rectangle(A) = Length(L)×Width(W).............. Equation 1
⇒ Let the length of the rectangle be x and the width of the rectangle be y.
If the length is decreased by 6 cm
new length = (x-6) cmAnd if the width is increased by 3 cm
new width = (y+3) cmSince the new length and the new width form a square,
Note: In a square, all sides are equal
(x-6) = (y+3)x = y+9...................... Equation 2Also, The area of the new square formed is smaller than the area of the rectangle by 27 cm²
xy = (y+3)²+27............ Equation 3Substitute these values of x in equation 2 into equation 3
(y+9)(y) = (y+3)²+27y²+9y = y²+6y+9+27y²+9y = y²+6y+36Collect like terms
y²-y²+9y-6y = 363y = 36y = 36/3y = 12 cm.Substitute the value of y into equation 1 to get x
x = 12+9x = 21 cm.Area of a rectangle = Length×width = 12×21 = 252 cm²Hence, The area of the rectangle is 252 cm².
Learn more about rectangles here: https://brainly.com/question/24571594
Express each of the following in the form
[tex] {7}^{x} [/tex]
a)
[tex] \sqrt[5]{7} [/tex]
b)
[tex] \frac{1}{ \sqrt[7]{7} } [/tex]
Answer:
Explanation:
Answers:
a) [tex]7^{1/5}[/tex]b) [tex]7^{-1/7}[/tex]Each answer has 7 as the base and a fraction as an exponent.
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Explanation:
One useful rule here is that [tex]\sqrt[n]{x^m} = x^{m/n}[/tex]. The fraction m/n is the exponent for the base x. Note how the index of the root (n) becomes the denominator of the fraction m/n. So for example if we had n = 3, then we'd be dealing with a cube root.
For part a), we have x = 7, m = 1 and n = 5 to get
[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[5]{7^1}=7^{1/5}\\\\\sqrt[5]{7}=7^{1/5}\\\\[/tex]
-----------------
Part b) is the same idea
We would find that
[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[7]{7^1}=7^{1/7}\\\\\sqrt[7]{7}=7^{1/7}\\\\[/tex]
Then apply the reciprocal to both sides. This is the same as raising both sides to the exponent -1
[tex]\sqrt[7]{7}=7^{1/7}\\\\\left(\sqrt[7]{7}\right)^{-1}=\left(7^{1/7}\right)^{-1}\\\\\frac{1}{\sqrt[7]{7}}=7^{1/7*(-1)}\\\\\frac{1}{\sqrt[7]{7}}=7^{-1/7}\\\\[/tex]
You could also use the rule that x^(-y) = 1/(x^y) when dealing with negative exponents.
In the second to last step shown above, I used the rule (x^y)^z = x^(y*z) on the right hand side.
What is the parallel line of a slope =4
Answer:
4
Step-by-step explanation:
The line must have the same slope as the original in order to be considered parallel, which in this case is 4.
What is the median for the following set of data? 2, 3, 6, 8, 9, 10, 11 7 8 10 11
8 :)
Step-by-step explanation:
18. What is the y-intercept of the line BC?
O A-2
B) -3
C) -2.3
OD 2
Answer:
18. What is the y-intercept of the line BC?
b) -3
Answer:
C
Step-by-step explanation:
It intercepts the horizontal line between -2 and -3, so that means that it is not a whole number. Therefore, the only answer possible is -2.3.
Hurry please. Also thank you in advance
Answer:
The answer is C [tex]\sqrt{97}[/tex].
Step-by-step explanation:
Use the pythagorean theorem. [tex]a^{2} + b^{2} = c^{2}[/tex]. With a and b corresponding to the legs of the triangle.
what is the postive solutionto the equation 0=1/3x²-3
HELP ME WITH ALGEBRA PLEASE! THANK YOU
Answer:
d=8
Step-by-step explanation:
Okay we've got 68/17 and d/2
68/17 = 4 meaning d/2 is also 4. Since 4 × 2 is 8, we know the answer is 8.
15,650 mm= _______ cm
what goes in the blank?
how do I show my work?
correct=brainliest
what’s the answer, and how do I find it step-by-step?
Answer: 16p^8q^4r^8 The yellow one
Step-by-step explanation:
Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2
Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2
Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2
Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one
what is the mad of this data set? 3,6,6,8,11,15,16
Answer:
4.0408163265306
Step-by-step explanation:
Which set of numbers is ordered from greatest to least?
A. -6, -10, 0,3
B.-7, -5, 2,6
C. 4, 3, -2,-6
D.-3, -6, 9, 11
Answer:
C
Step-by-step explanation:
Positives are bigger than negatives, so the highest is 4 and the lowest is Negative 6.
Answer:
c is the answer
Step-by-step explanation:
because when the number is negative it's lowe than a positive number and the answer "c" has the first number as a positive which that number is the greatest out of all of them in that answer
What is the name of the little gates that control the airflow through the brass instrument? A. slides B. bend C. valves D. pick ( this is for music class)
Answer:
valves
Step-by-step explanation:
There are 568 apples in the kitchen ready to make apple pies, if 50% of them are green, how many are green?
Answer:
284 apples are green
Step-by-step explanation:
50 is half of one hundred so you divided 568 by 2
What are some fractions equivalent to -1/4
Answer:
-2/8, -4/16, -8/24
Step-by-step explanation:
Answer:
-2/8
-4/16
-8/32
-16/64
-25/100
Write an equivalent expression for -5(8-2x)
Find the circumference and area of the circle to the nearest hundredth. Use 3.14 for π. Round to the nearest hundredth if necessary.
56 is the cm.
Answer:
56÷2=28
Circumference=2×3.142×r
c= 2×3.142×28=175.952
hundredth =175.95cm
Area=3.142×r^2
A= 3.142×28^2=2463.328
hundredth =2463.33cm^2
where do the equations y=5x+1 and y=2x-11 intersect
Answer:
They intersect at (-4, -19)
Step-by-step explanation:
Graph both of the equations and once you do that all you have to do is find the point where they intersect.
Hope this helped you!
⭐If this helped please consider giving me brainliest!⭐
Answer:
(-4,-19)
Step-by-step explanation:
solve for y.
5x + 4 = -4y
Answer:
5x−4=y 5 x - 4 = y . Add 4 to both sides of the equation. Divide each term by 5 and simplify. Divide each term in 5x=y+4 5 x = y + 4 by 5 5 .
Here's the answer I hope this helps you
Step-by-step explanation:
What is the median of 23, 34, 35, 37, 41, 43, 43
Answer:
The Median is 37
Step-by-step explanation:
Answer:
the answer is thirty seven
37
it's the middle number
get this correct for juice wrld
Answer:
juice wrld dosent like math
Step-by-step explanation:
Please help! i really need help with this! question is below!
Step-by-step explanation:
Area of the square:
a^2: 4^2=16in^2
Area of the circle:
πr^2: π(4.5)^2= 63.6
Area of white part:
63.6 - 16 = 47.6
Probability of landing on square:
16/63.6 = 0.25
Probability of landing on white part:
63.6/16 = 3.975
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25, point, 25 meters thick.
Let y represent the ice sheet's thickness (in meters) after x weeks.
Which of the following information about the graph of the relationship is given?
Choose 1 answer:
(Choice A)
A
Slope and xxx-intercept
(Choice B)
B
Slope and y-intercept
(Choice C)
C
Slope and a point that is not an intercept
(Choice D)
D
x-intercept and y-intercept
(Choice E)
E
y-intercept and a point that is not an intercept
(Choice F)
F
Two points that are not intercepts
Plzz help mehjDutch hchch h
Answer:
See belowStep-by-step explanation:
Given the data set of 15 where:
Mean = 7Median = 6Mode = 5The minimum is 1 and the maximum is 10As per given we conclude
The set will have 7 numbers before 6 and 7 numbers afterSum of 15 numbers is 15*7 = 105The most used number is 5a) Possible set is:
1, 5, 5, 5, 5, 5, 5, 6, 9, 9, 10, 10, 10, 10, 10b) Add number 20, the set will be:
1, 5, 5, 5, 5, 5, 5, 6, 9, 9, 10, 10, 10, 10, 10, 20The mean is different as we have now more numbers with different sum:
(105 + 20)/(15 + 1) = 125/16 = 7.8125The median is different now and moves to the right as 20 added to the far right:
(6 + 9)/2 = 7.5The mode stays same as still most used number is 5:
5Help asap plss i will give you brainliest
Answer:
A. -80x + 24
Step-by-step explanation:
- 8( 10x - 3 )
- 8( 10x )
= - 80x
- 8 ( - 3 )
= 24
- 80x + 24
Remember, when you multiply a negative number with another negative number it will become positive
Hope this helps dude
help please!
- Write a recursive formula for a an =12+(n−1)10.
Answer:
12/(n-1)=10/(n+3). 12n−1=10n+3 12 n - 1 = 10 n + 3
Step-by-step explanation:
What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)?
Answer:
Step-by-step explanation:
TE
6 (a - 2) + 8a - 2 + 3 (a + 1)
Answer:
6a - 12 + 8a - 2 + 3a + 3
17a - 11
Step-by-step explanation:
You first solve the brackets by multipling
And you add the sums that consists same letters
What is 2 x 4 x 5 x 7 x 4
Answer:
1120 is your answer
Step-by-step explanation:
2 x 4 x 5 x 7 x 4
8×5×28
40×28
1120
Answer:
1120
Step-by-step explanation:
2 x 4 x 5 x 7 x 4
8×5×28
40×28
1120
PLS HELP I WILL POSSIBLY MARK YOU BRAINLESS and rate u 5 stars!!
(Relative frequency) Attachment. WILL MARK BRAINLIEST AND 5 STARS!