Answers
Answer:
We know that the area of a square of sidelength L, is:
Area = L^2
In this case, we have:
L = 2cm + x cm
And we know that the area of the square is 7cm, then:
Area = 7cm^2 = (2cm + x cm)^2
7cm^2 = 4cm^2 + 4cm*xcm + (x cm)^2
7cm^2 = 4cm^2 + (4*x)cm^2 + x^2 cm^2
Now we can remove all the "cm^2" and just get the numbers:
7 = 4 + 4*x + x^2
We can subtract 4 in both sides to get
7 - 4 = 4 + 4*x + x^2 - 4
3 = 4*x + x^2
This is what whe wanted to prove.
Related Questions
a) Solve 3(x – 5) = 18
Answers
step by step explanation:
Answer:
x = 11
Step-by-step explanation:
3(x-5) = 18
Step one: Distrubute 3 to the numbers in the parenthesis.
3x - 15 = 18
Step two: Add 15 on both sides
3x = 33
Step three: Divide by 3 on both sides
x = 11
The value of y varies directly with x. If x = 5 when y = 12, what is the value of x when y = 30?
Answers
Answer:
12
Step-by-step explanation:
12/5 = 2.4
2.4(x)
if x = 5 then,
2.4(5) = 12
Answer:
12.5 or 25/2
Step-by-step explanation:
you do 30/12 get 2.5 then do 2.5 times 5 to get 12.5 or 25/2
HELP!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
3
Step-by-step explanation: set the two equations equal to each other. 5-2x=-4x+9 and you'd get x=2. insert 2 into the expression, and you'd get 1. to find the perimeter, a triangle has 3 sides. 1+1+1 =3
The camp cook made 5 5/8 pints of baked beans. Each serving of beans is 5/8 of a pint. How many servings of beans did the cook make?
Answers
45/8 pints * (1 serving)/(⅝ pint) = 9 servings
Why do the points ( 3 , 2 ) , ( 5 , 4 ) and ( 7 , 6 ) not form a triangle ?
~Thanks in advance ! ツ
Answers
Answer:
Because it doesn't form a triangle, it doesn't even form a shape in general, it only forms a linear line.
Step-by-step explanation:
Here is a picture down below so you can see what I mean. No triangle just a line
A bike is on sale for 45% off of the regular price. If the sale price is $299.75, what was the original price?
Answers
299.75/.45=666.11
since you’re looking for original price instead of the price on sale, you would do the opposite which is to divide.
Answer:
the original price is 545$
Step-by-step explanation:
299.75$ : 55$ = x : 100
55x = 299.75 x 100
55x : 29975
divide 29975 by 55 =
545
*PLEASE ANSWER!!! QUICK*
Which equation has 12 as the solution?
a.) 4x + 2 = 2x + 10
b.) -5 + 2x = 4x - 13
c.) 6x – 7 + 3 = 32 + 3x
Answers
Answer: C
Step-by-step explanation:
6x-7+3 = 32+3x> 6x - 4 = 32+ 3x > 3x = 36 > x = 12
What is the slope of a line perpendicular to the line whose equation is 2x-10y=100
Answers
Answer:
-5
Step-by-step explanation:
To find the perpendicular line, first rearrange this into slope intercept form.
y= mx + b
2x - 10y = 100
-10y = -2x +100
y = 1/5x - 10
The slope of a perpendicular line has a slope that is the receipt I’ll of and opposite of this line. The slope here is 1/5 so flip it and you have 5/1. It will also be negative since that slope was positive.
1/5 —> 5/1 —> -5
The answers too them
Answers
Answer:
$324.37
Step-by-step explanation:
First question already answered in other post.
Second Question:
Original price before discount and tax: $354
Discount: 15%
100% - 15% = 85% = 0.85
0.85 * $354 = $300.90
Tax: 7.8%
100% + 7.8% = 107.8% = 1.078
1.078 * $300.90 = $323.37
Answer: $324.37
Consider the 4th roots of 16[cos(π) + i sin(π)].
The roots are located on a circle with center at the origin and radius of ....
The arguments of two successive roots differ by.... π units along the circumference of a circle.
Answers
Answer:
2 1/2
Step-by-step explanation:
The roots are located on a circle with a center at the origin and a radius of 4. The arguments of two successive roots differ by (1/2)π units along the circumference of a circle.
What is the Circumference of a circle?The circumference of a circle is defined as the product of the diameter of the circle and pi.
The 4th roots of 16[cos(π) + i sin(π)] are the 4th roots of -16i. These roots are located on a circle with a center at the origin and a radius of 4 because the 4th roots of a complex number are equally spaced on a circle with a radius equal to the absolute value of the complex number.
The arguments of two successive roots differ by π/2 units along the circumference of a circle. This is because there are 4 roots and the circle has a circumference of 2π, so each root is spaced 2π/4 = π/2 units apart along the circumference of the circle.
For example, the first root is located at (4, 0) on the complex plane, which corresponds to an argument of 0.
The second root is located at (0, 4) on the complex plane, which corresponds to an argument of π/2.
The third root is located at (-4, 0) on the complex plane, which corresponds to an argument of π.
The fourth root is located at (0, -4) on the complex plane, which corresponds to an argument of 3π/2.
Thus, you can see that the arguments of the roots differ by π/2 units.
To learn more about the roots of complex numbers click here:
https://brainly.com/question/28182680
#SPJ2
20% of what number is 36?
Provide an exact fraction answer. (Mixed fraction) please show how you got your answer ;) Thank you in advance
Answers
Answer:
180
Step-by-step explanation:
180 * .2 = 36
20% is the same thing as 1/5 of something, so read the question again,
"36 is 1/5 of what number?"
Multiply 36 by 5 to get 180
Double check yourself by finding 20% of 180
180 * .2 = 36
Hope this helped, queen!
4 1/5 x 5/14 in its simplest form
Answers
Answer:
1.5 as fraction it is 3/2 in simplest form
Step-by-step explanation:
The simplest form of the expression given is 3/2
What is an expression?A mathematical statement containing variables, numbers and connected by a mathematical operator is called an expression.
Given that, an expression [tex]4\frac{1}{5}[/tex] × [tex]\frac{5}{14}[/tex]
We are asked to simplify them,
[tex]4\frac{1}{5}[/tex] × [tex]\frac{5}{14}[/tex]
= 21 / 5 × 5 / 14
= 21 / 14
= 3/2
Hence, the simplest form of the expression given is 3/2
Learn more about expressions, click;
https://brainly.com/question/14083225
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Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.
If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?
Answers
Answer:
3.25
Step-by-step explanation:
Given: in a right triangle, cot0 = 28/45
1. what is csc0
2. what is sec0
Answers
Answer:
i) [tex]cosec0 = \frac{hypotenuse}{opposite side} = \frac{53}{45}[/tex]
ii) [tex]sec0 = \frac{hypotenuse}{adjacent side} = \frac{53}{28}[/tex]
Step-by-step explanation:
Step(i):-
Given that
[tex]cot 0 = \frac{28}{45} = \frac{adjacentside}{opposite side}[/tex]
Hypotenuse AC² = AB²+BC²
⇒ AC² = 45²+28² = 2809
⇒ AC = √2809
⇒ AC = 53
Hypotenuse AC =53
Step(ii):-
i) [tex]cosec0 = \frac{hypotenuse}{opposite side} = \frac{53}{45}[/tex]
ii) [tex]sec0 = \frac{hypotenuse}{adjacent side} = \frac{53}{28}[/tex]
Write an equation of the line with the given slope and y-intercept.
slope: −3
y-intercept: 5
y=
Answers
Answer:
Y=-3X+5
Step-by-step explanation:
What is the slope of y = 1 + 5?
Answers
Answer:
1
Step-by-step explanation:
I'm guessing it's 1x, but the first number is always the slope.
(hope this helps!)
Help plssss! What is the volume of this composite solid?
Answers
Answer:
B.
(づ￣ ³￣)づHave A nice day Cute Sir
Answer:
Step-by-step explanation:
160
please help like right now
Answers
Answer:
y-interceptSloperise over runnegativepositiveUndefinedZeroSlopey-interceptStep-by-step explanation:
I'm not sure about what the answer is for the last two questions. If somebody else does know please right it in the comment section. :)
what is the measure of <A in the triangle below
Answers
Answer:
∠A = 62°
Step-by-step explanation:
∠ACB = 180 - 116 = 64°
∠A + ∠B + ∠C = 180°
(3x - 13) + (2x + 4) + 64 = 180°
3x + 2x - 13 + 4 + 64 = 180°
5x + 55 = 180°
5x = 180 - 55
5x = 125
x = 125/5
x = 25
∠A = 3x - 13
∠A = 3(25) - 13
∠A = 75 - 13
∠A = 62°
Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.
For what number of guests will the cost of Caterer A be the same as the cost of Caterer B? number or guest
Answers
Answer:
Number of guests = 10
Step-by-step explanation:
Given that:
Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.
Let,
x be the number of guests.
A(x) = 15x + 100
B(x) = 20x + 50
For the cost to be equal;
A(x) = B(x)
15x + 100 = 20x + 50
100 - 50 = 20x - 15x
50 = 5x
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{50}{5}\\x=10[/tex]
Hence,
Number of guests = 10
Can someone help me with this? Please n thank u
Answers
Answer:
1. 15°
2.64°
3. 50°
4.38°
Step-by-step explanation:
Find the measure of angle B
Answers
Answer:
15 - 86
16 - 115
17 - 60
18 - 74
Step-by-step explanation:
The dimensions of a rectangle are given in terms of S as shown below or above.
Q. Which expression represents the perimeter of the rectangle? Mark all that apply.
Answers
Answer:
A and D
Step-by-step explanation:
It should be Sx2 + 2(S+ 1/2)
Which is equal to 4s+1
and 2(2s + 1/2) is equal to 4s+1 as well
Factor: y = x^7 + 65x^4 + 64x
Answers
Answer:
y=x^7+65x^4+64xu200b
Step-by-step explanation:
PLS help quickest and accurate answer gets brainliest Mrs. Meadows wants to tile a wall to serve as a splashguard above a basin in the basement. She plans ot use equal-sized tiles to cover an area that measures 48 inches by 36 inches. What is the area of the maximum-size square tile Mrs. Meadows can use and not have to cut any of the tiles? Write your answer as inches squared.
Answers
Answer
1729 in^2
Step-by-step explanation:
48 in x 36 in= 1728 in^2. A=LxW
A grocery store sells 6 bottles of water for $4 and 18 bottles for $10. Is the cost of the water proportional to the number sold?
Proportional
Nonproportional
Answers
Answer:
Non Proportional
Step-by-step explanation:
Make a proportion:
For example say you want to test out how many bottles of water you can buy for $10
Proportion:
4 - 6
10 - ?
Solve: 10×6÷4=15
So technically, you could only get 15 bottles for $10. Therefore, this is a non proportional problem.
Convert decimals to fractions
.37
2.4
.33
Please help
Answers
Answer:
1. 37/100
2. 2 2/5 or 12/5
3. 33/100
Step-by-step explanation:
Answer: 37/100.
2 2/5.
33/100
Step-by-step explanation:
I recommend using symbolab.com for further steps and calculator
300g of bananas cost £1.80. how much does 1kg cost?
Answers
Answer:
£6
Step-by-step explanation:
300 g = .3 kg
We can use ratios to solve
.3 kg 1 kg
------------- = -----------
1.8 x
Using cross products
.3x = 1 * 1.8
.3x = 1.8
Divide each side by .3
.3x/.3 = 1.8/.3
x =6
A grocery store sells a bag of 3 oranges for $2.61. What is the cost of oranges, in
Ullars
per orange?
Answers
Answer:
.45
Step-by-step explanation:
Solve and check
y = 3x - 10
y = 2x - 5
Answers
Answer:
This is the subtraction method
Y -3X = -10
(-Y -2x = -5) -Y + 2X = 5
Y -3X = -10
-Y + 2X = 5
-X = -5
X = 5 Now fill in the 5 for X and Y = 5
Answer:
x = 5, y = 5
or
(5, 5)
Step-by-step explanation:
they both equal y so they also equal each other.
3x - 10 = 2x - 5
3x - 2x = -5 + 10
x = 5
substitute x for 5
y = 3x - 10
y = 15 - 10
y = 5
edit, whops forgot to check
just plug the variables in with their values and see if it makes sense:
y = 2x - 5
5 = 2*5 - 5
5 = 10 - 5
5 = 5
since 5 does equal 5, the solution is correct.