Answer:
(a) [tex]Area = x^2 + 8x - 48[/tex]
(b) [tex]x = 6[/tex]
Step-by-step explanation:
Given
Let the side length of the square be x
So, the rectangle has:
[tex]Length = x + 12[/tex] -- increase by 12
[tex]Width = x - 4[/tex] --- decrease by 4
Solving (a): The area of the rectangle.
This is:
[tex]Area = Length * Width[/tex]
[tex]Area = (x + 12) *(x - 4)[/tex]
Open brackets
[tex]Area = x^2 + 12x - 4x - 48[/tex]
[tex]Area = x^2 + 8x - 48[/tex]
Solving (b): Find x
The area of the square is:
[tex]Area = x^2[/tex]
If the rectangle has the same area, then:
[tex]x^2 + 8x - 48 = x^2[/tex]
Collect like terms
[tex]8x - 48 = x^2 - x^2[/tex]
[tex]8x - 48 = 0[/tex]
[tex]8x = 48[/tex]
Solve for x
[tex]x = 6[/tex]
Answer:
x=2
Step-by-step explanation:
cuz i said so
9. Kesha and two friends are planning a trip. Kesha's mother has said that she can put no more than $100 on her credit card to rent a car. If the rental company charges a flat rate of $25 plus $0.10 per mile, what is the greatest distance the girls can travel?
Answer:
750 miles
Step-by-step explanation:
100-25=75. 75/.10= 750
ILL GIVE BRAINLIEST IF ITS RIGHT
FREE BRAINLIEST
Jessie started a record collection with 8 records. Each week he added 3 records to his collection. Riley started her record collection with 23 records. Each week she gave away 2 records.
d) When will Jessie & Riley have the same number of records in their collection?
How many records will they each have at this time?
Answer:
when Riley starts selling her $h1t
200% of what number is 66?
Answer:
33
Step-by-step explanation:
Because 66 is 200% just divide that by 2. Then 33 would be 100%
helps me please
calculate the area and the perimeter?
Answer:
Area = 88 m²
Perimeter = 44 m
Step-by-step explanation:
✔️Area of the shape = area of the rectangle + area of the square
Area of the rectangle = L*W
L = 12 m
W = 6 m
Area of rectangle = 12*6 = 72 m²
Area of the square = s²
s = 4
Area of the square = 4² = 16 m²
Area of the shape = 72 + 16 = 88 m²
✔️Perimeter = sum of the sides surrounding the shape = 12 + 6 + 4 + 4 + 4 + 4 + 4 + 6 = 44 m
Simplify -2.9f + .9f -12 - 4
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{-2.9f + 0.9f -12 - 4}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\text{(-2.9f + 0.9f) + (-12 - 4)}\\\\\large\text{(-2.9f + 0.9f) = \bf{-2f}}\\\\\large\text{(-12 - 4) = \bf{-16}}\\\\\large\text{= \bf{-2f - 16}}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{-2f - 16}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the volume of the figure. Round to the tenths if necessary
Answer:
308.9 cm³
Step-by-step explanation:
6x3.9x13.2=308.88
find the value of x and y
Answer:x=63, y=27
Step-by-step explanation:
Please Help! After one side of a square flower bed was enlarged by 2 ft and the other side was enlarged by 3 ft, the area of a new flower bed became twice the area of an old one. How long was the side of the old flower bed?
The problem says we have a square flower bed to start out with.
Let's have the sides of the squares be "x". The area of this original flower bed is [tex]x^{2}[/tex].
Then, one side of the square is enlarged by 2ft, and another side 3ft. Our new flower bed dimensions are now (x+2) and (x+3). Multiply (x+2) and (x+3) to find the area, which gets you [tex]5x^{2} +6x+6[/tex].
We also know that the new area of the flower bed is twice the size of the original flower bed. Multiply the original area by 2, you get [tex]2x^{2}[/tex].
With the new area and the doubled original area, we can now make an equation: [tex]5x^{2} +6x+6=2x^{2}[/tex]
Solve for x, you get 6.
Hope this explanation helped, maybe a bit too many details but there's your answer, 6!
The side length of the original bed is 6 units
Area of squareThe formula for finding the area of the square is expressed as:
A = x^2
If one side of a square flower bed was enlarged by 2 ft and the other side was enlarged by 3 ft, the area of the bed becomes;
A = (x+2)(x+3)
A = x^2 + 5x + 6
If the area of a new flower bed became twice the area of an old one, then;
5x^2 + 6x + 6 = 2x^2
On factorizing, the value of x is 6 which shows that the side length of the original bed is 6 units
Learn more on the area of square here: https://brainly.com/question/25092270
. Bree sold 2 paintings for $95 each,
5 stone sculptures for $64 each, and
1 mini-bronze sculpture for $150 in the
month of April. Bree doubled her sales
in May. How much were her total sales in
April and May?
if James have 12 books and Jack has 15 who has more
Answer:
Jack
Step-by-step explanation:
Jack has more books because 15 is more than 12
lol
1\4 fractions division
17. The base of a 30-foot ladder is placed 11 feet from the building. How
high up the building does the ladder reach, to the nearest foot? *
I need help ASAP will mark the brainliest
Answer: 7,3
Step-by-step explanation: do the x line the y line (not the best explanation)
Answer:
16,7
Step-by-step explanation:
The answer is 16,7 because y value will go up 3 since the JKLM is the same and x value will go right 10.
Y+3, x+10
Hope this help!
A flying disc has a radius of 10 inches. What is the area of one side of the flying disc to the nearest square inch? Use 3.14
as an approximation for .
please please please help!!!!!!!!!!
A person is looking from a car to the top of a building. The angle of elevation to the top of the building from the car is 32°. The building is 200 feet away. How tall is the building? Round to the nearest foot.
Answer:
A problem is that you didn’t say the height you are viewing the building from. This means we’re not dealing with a triangle, but a trapezoid. However, If we could assume this was a right triangle problem you would need to use the tangent of 32° and solve for the opposite side. Tan(x) = opp/adj. Multiplying both sides by the adjacent side we get Tan(32) x 200ft = opp. Opposite side = 134 ft
Step-by-step explanation:
Points (−3, 5) and (3, 5) on the coordinate grid below show the positions of two players on a tennis court:
Which statement best describes the relationship between the positions of the two players? (4 points)
Select one:
a. Player 2's position is Player 1's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
b. Player 2's position is Player 1's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
c. Player 2's position is Player 1's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
d. Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Answer:
B
Step-by-step explanation:
1. Plot the points on a graph (reflected across x-axis)
Which is NOT an equivalent ratio for 1:3? *
2:6
3:9
O 3:6
O 4:12
Answer:
where the answer is 3/6 I hope it helps
Answer:
3:6
Step-by-step explanation:
1:3 times 2= 2:6
1:3 times 3= 3:9
1:3 times 4= 4:12
Therfore, 3:6 is NOT an equivalent ratio for 1:3.
Please confirm my answer
5/42 = 10/84 ture or false
Answer:
true
Step-by-step explanation:
Answer:
true
................
Which camera is the farthest from the surface of the water?
Sorry if the picture is blurry! I tried my best!
Answer:
fish camera
Step-by-step explanation:
I think I took the quiz
Answer:
B hope this helps
Step-by-step explanation:
A) y= 3x + 10
B) y= 3x + 60
C) y= 4x + 5
D) y= 4x + 35
Answer:
d or a
Step-by-step explanation:
50/55/100/105/.................
Solve.
10x^2 - 6 = 9x
Answer:
B
Step-by-step explanation:
use quadratic formula: (-b ±√b²-4ac) ÷ 2a
a = 10, b = -9, c = -6
the diagonal of a rectangle is 25 in. the width is 15 inches. what is the area of the rectangle?
Answer:
300
Step-by-step explanation:
The area of the rectangle can be calculated as follows
15√ 25^2 - 15^2
= 15√625-225
= 15√400
= 15 × 20
= 300
Hence the area of the rectangle is 300
A swimming pool is 14 yards long and 6 yards wide.Which equation can you use to find the area of the bottom of the pool?
PLEASEEEEE I NEED HELPPPPP !!!!!!!
What is the area of the following circle?
Either enter an exact answer in terms of or use 3.14 fort and enter your answer as a decimal.
MA
As
d=8
MY
Co
MY
units
Answer:
[tex]A=50.24\ \text{unit}^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the circle, d = 8 unit
Radius, r = 4 units
We need to find the area of the circle. The formula for the area of a circle is given by :
[tex]A=\pi r^2\\\\A=3.14\times 4^2\\A=50.24\ \text{unit}^2[/tex]
So, the area of the circle is equal to [tex]50.24\ \text{unit}^2[/tex].
A pyramid has a rectangular base that is 5 cm wide and 9 cm long. The height of the pyramid is 10 cm.
10 cm
5 cm
9 cm
What is the volume of the pyramid?
Answer: 450 cm
Step-by-step explanation:
10 x 9 = 90 x 5 = 450
What is the length of FG?
A 3 inches
B 4 inches
C 5 inches
D 90 inches
3 inches
4 inches
5 inches
help mee plz
Answer:
B. 4
Step-by-step explanation:
If Triangle ABC is congruent to Triangle EFG, then A = E, B = F, and G = C.
In this case, we want to find FG. BC is congruent to FG. Therefore, FG is 4 inches.
Select the correct answer.
Consider these functions:
f(x)= 4x3 – 10
g(t) = 3x- 4
/2
What is the value of g(12))?
A. -6
B. 2
C. 19
D. 31
Answer:
Answer is A hope this helps
Step-by-step explanation:
PLZ HELP
which of the following is true
2 + 21 =27
2 + 21 = 32
2 + 21 = 23