Answers
Answer:
guessing that the area of the inner rectangle is 10m²
and the other rectangle is 16m*10m= 160m²
we can say that
(16-x) * (10-x) = 10
for the area of the inner rectangle
let's calculate the lefthand side of the equation
160 - 16x -10x + x² = 10
160 -26x +x² = 10
subtract 10 on both sides
150 -26x +x² = 0
rearrange
x² -26x + 150 = 0
looks like something we can throw the pq formula on to solve for x
with p = -26 and q = 150
[tex]x = - \frac{ - 26}{2} \frac{ + }{ - } \sqrt{( \frac{ - 26}{2})^{2} - 150 } [/tex]
[tex]x = 13 \frac{ + }{ - } \sqrt{169 - 150 } [/tex]
[tex]x = 13 \frac{ + }{ - } \sqrt{19 } [/tex]
[tex]x1 = 8.64[/tex]
[tex]x2 =17.36 [/tex]
we need to interpret this solutions
but to be sure on this, I need the unreadable text of the photographed problem
Related Questions
A rectangular room is 4 times as long as it is wide, and its perimeter is 50 meters. Find the dimension of the room
Answers
Answer:
Width=5m
Lenght= 20m
Step-by-step explanation:
L= Lenght
W= width
perimeter = (2L + 2W) ......eqn(1)
From the question, length of the rectangle is 4 times of it's width
Then
L = (4W)........eqn(2)
But perimeter = 50
Fromeqn(1)
(2L + 2W)= 50........eqn(3)
Sub eqn(1) in eqn(3)
2(4W) + 2W = 50
8W + 2W= 50
10W= 50
W=5
From (1)
L = (4W)
L= 4×5= 20
Lenght= 20
Neil is buying steak for a cookout on Saturday. Steak is on sale for $9.62 per pound. If he buys 7.5 pounds of steak, how much money does he spend?
Answers
Answer:
$72.15
Step-by-step explanation:
x= pounds of steak
$[tex]9.62x[/tex] = money spent on steaks
If Neil buys 7.5 pounds of steak then x =7.5
$9.62(7.5) = $72.15
Answer:
$72.15
Step-by-step explanation:
1 pound = $9.62
7.5 pounds = $9.62 × 7.5
= $72.15
Choose the methods of solving quadratic equations
Completing the Square
Factoring
Square Root Method
Area Formula
Simplifying
Cross Multiplication
Guess and Check
Quadratic Formula
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation using the quadratic formula.
x2 + 8x - 5 = 0
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation using the quadratic formula.
2x2 - 2x = 1
Answers
Answer:
Factoring square root method quadratic formula completing the square method . x1=3+(check)3 and x2=3-(check)3 .
Step-by-step explanation:
Have an amazing day<3 thirty percent chance this is right 70 it’s wrong
Answer this question pls? Its 20 pts
Answers
Answer:
B a = 180 -77-60
Step-by-step explanation:
The angles add to 180 degrees since they form a straight line
77+ 60+a = 180
a = 180 -77-60
The answer is B.
Step-by-step explanation:
We know that the sum of angles in a straight line = 180°
Therefore:
77° + 60° + a = 180°
a = 180° - 77° - 60°
Hence, option B is the answer.
What is the distance from the origin to point P graphed on the complex plane below?
Answers
Answer: (b)
Step-by-step explanation:
Given
Point P can be written as [tex]z=2-5i[/tex]
Distance of Point P can be given by [tex]\left | z \right |[/tex]
[tex]\Rightarrow \left | z\right |=\sqrt{2^2+(-5)^2}\\\Rightarrow \left | z\right |=\sqrt{4+25}\\\Rightarrow \left | z\right |=\sqrt{29}[/tex]
Thus, option (b) is correct.
Answer:
the answer is b
Step-by-step explanation:
For the given function, determine consecutive values of x between which each real zero is located. f(x)= -8x^4-3x^3-11x^2+8x+16
Answers
Answer:
Option C: there are zeros between x = 1 and x = 2, x = 0 and x = -1
Step-by-step explanation:
The function is given as;
f(x) = -8x⁴ - 3x³ - 11x² + 8x + 16
Since it's the real zero of the polynomial we are looking for, it means there is a possibility of getting an imaginary zero of the polynomial.
A zero is the value of x that will make the polynomial equal to zero.
Let's try;
x = -2;
f(-2) = -8(-2)⁴ - 3(-2)³ - 11(-2)² + 8(-2) + 16
f(-2) = -128 + 24 - 44 - 16 + 16
f(-2) = -148
Let's try x = -1;
f(-1) = -8(-1)⁴ - 3(-1)³ - 11(-1)² + 8(-1) + 16
f(-1) = -8 + 3 - 11 - 8 + 16
f(-1) = -8
Let's try x = 0;
f(0) = -8(0)⁴ - 3(0)³ - 11(0)² + 8(0) + 16
f(0) = 16
Lets try x = 1
f(1) = -8(1)⁴ - 3(1)³ - 11(1)² + 8(1) + 16
f(1) = -8 - 3 - 11 + 8 + 16
f(1) = 2
Let's try x = 2;
f(2) = -8(2)⁴ - 3(2)³ - 11(2)² + 8(2) + 16
f(2) = -128 - 24 - 44 + 16 + 16
f(2) = -164
From the values of f(x) gotten from x= -2 to x =2, we can see that the zeros will be closest to x = 0 and x = - 1 and also between x = 1 and x = 2 since that is the range that produced f(x) to be close to zero.
1. When 36 is subtracted from the square of a number, the result is five times the number. Create and solve an equation to find the possible values of this number.
Answers
Answer:
[tex]x^{2} -36 = 5x[/tex]
[tex]x^{2} -5x -36 =0[/tex]
(x-9)(x+4) = 0
x = 9 or x= -4
Step-by-step explanation:
Complete the angle addition postulate for the following angle
Answers
Answer:
measure of angle GEO.....
The coefficient of "x" in 7-15xz is
Answers
Answer:
-15
Step-by-step explanation:
7-15xz
The expression x^2 - 10x + 24 is equivalent to
Answers
Answer:
[tex](x−6)(x−4)[/tex]
Step-by-step explanation:
[tex]x^2 - 10x + 24[/tex]
[tex] {x}^{2} −6x−4x+24[/tex]
[tex]x(x−6)−4(x−6)[/tex]
[tex](x−6)(x−4)[/tex]
Hope it is helpful...Answer:
(x - 4 )(x - 6 )
Step-by-step explanation:
[tex]x^2 - 10x + 24 \\\\=x^2 - 6x - 4x +24 \\\\=x(x - 6) -4(x - 6) \\\\=(x - 4)(x-6) \\[/tex]
BRAINIEST IF ANSWERED CORRECTLY
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution. Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation. Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Answers
An example of something that doesn't have a solution is something like x+2 = x+3
If we subtract x from both sides, then we end up with 2 = 3, which is always false.
No matter what we plug in for x, the original equation will always be false. The right hand side is always 1 larger than the left side. So that's why we don't have any solutions here.
Side note: equations of this form are known as contradictions (or we could say the equation is inconsistent).
=====================================================
An example of something that has one solution is 3x+2 = 2x+7
Solving this equation leads us to...
3x+2 = 2x+7
3x-2x = 7-2
1x = 5
x = 5
To verify the solution, we plug it back into the original equation
3x+2 = 2x+7
3(5)+2 = 2(5)+7
15+2 = 10+7
17 = 17
We get the same thing on both sides, so we get a true statement. This confirms that x = 5 is the solution to 3x+2 = 2x+7.
=====================================================
An example of an equation with infinitely many solutions is 2x+4 = 2(x+2)
Notice how both sides are the same thing. The 2(x+2) distributes out to get 2x+4
Since we have the exact same identical expression on both sides, this ultimately means no matter what we plug in for x, we'll get a true statement. True statements (like the conclusion at the last section) are simply anything with the same number on both sides after simplifying everything.
Side note: equations of this form are known as identities
The bus ride was 35 minutes long. If the ride ended at 12:05 a.m., what time did the ride begin?
Answers
Answer:
11:30 A.M.
Step-by-step explanation:
Answer:
11:30
Step-by-step explanation:
12.05- 35 min and its 11:30
hope that helps bby<3
Which graph represents the function y - 3 = 3/2 (x-4)
Answers
Answer: Should be the graph with the slope of (3/2)
THE AMOUNT RECIEVE BY JOY IF SHE WORKED m HOURS AT PHP300 PER HOUR?
Answers
Step-by-step explanation:
THE AMOUNT RECIEVE BY JOY IF SHE WORKED m HOURS AT PHP300 PER HOUR?
hi please mark me as brilliant
-BRAINLIEST IF ANSWERED RIGHT-
Given the equation
5+x−12=x−7:
Part A. Solve the equation
5+x−12=x−7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values
x=−4,0,5 to verify your solution to the equation
5+x−12=x−7.
In your final answer, include all of your calculations.
Answers
Answer:
Part A:
[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers)
Part B:
[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]
Step-by-step explanation:
Part A:
Given [tex]5+x-12=x-7[/tex], combine like terms:
[tex]x-7=x-7[/tex]
Add 7 to both sides:
[tex]x=x[/tex]
Since this is merely a true statement for all real numbers (reflexive property), this equation is true for any real value of [tex]x[/tex].
Therefore,
[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers).
Part B:
Using arbitrary values [tex]x=-4, x=0, x=5[/tex] as requested in part B, verify:
[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]
Which of the following sets is closed under subtraction?
none of the above
prime numbers
rational numbers
positive odd numbers
Answers
What is the approximate volume
Answers
Answer:
3053 in^3
Step-by-step explanation:
volume of a sphere is 4/3*pi*r^3
Diamaeter is 2*r
so r=9
7/3*(3.14)*9^3=3053.63 so answer is D or the bottom
Which transformation performed on Triangle PQR will create an image Triangle P'Q'R' contained entirely in Quadrant II?
A
a counter-clockwise rotation of 90 degrees about the origin
B
a reflection over the x-axis
C
a reflection over the y-axis
D
a translation of 2 units to the left
Answers
Find the area of the shape below 9cm 6cm 15 cm 11 cm
Answers
Answer:
8910cm^2
Step-by-step explanation:
Since there is no photo ill just multiply the 4 measurements
9x6x15x11
What's the shape? I'll be more than glad to help but I don't see the shape below. Comment underneath this and I'll try helping out.
Find the ratio of sin (A) please help
Answers
Answer:
8/17
Step-by-step explanation:
take angle A as reference angle
using sin rule
sin A = opposite / hypotenuse
sin A = 16/34
sin A = 16/34
sin A = 8/17
The perimeter of parallelogram ABCD is 96cm. AD is 9 cm more than twice AB. Find the lengths of all four sides of ABCD.
Answers
Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Step-by-step explanation:
Given
ABCD is a parallelogram
Side AD is 9 cm more than twice AB i.e.
[tex]AD=9+2AB[/tex]
Also, for parallelogram
[tex]\Rightarrow AB=CD,BC=CD[/tex]
Perimeter is the sum of the sides
[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]
So, [tex]AD=35\ cm[/tex]
Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Answer: AB=11
AD=31
BC=31
CD=11
Step-by-step explanation:
Each time one of you change the tires and 82 rows each row has an equal number of white and blue tile in town what is y ?
Answers
Answer:
5 blue tiles on each row
Step-by-step explanation:
Given
[tex]Tiles = 80[/tex]
[tex]Rows= 8[/tex]
[tex]Color = \{White, Blue\}[/tex]
[tex]White = Blue[/tex]
See comment for original question
Required
The number of blue in each row
First, we calculate the number of tiles in each row.
[tex]Unit = \frac{Tiles}{Rows}[/tex]
[tex]Unit = \frac{80}{8}[/tex]
[tex]Unit = 10[/tex]
The distribution of tiles on each row is:
[tex]White + Blue = Unit\ Tiles[/tex]
[tex]White + Blue = 10[/tex]
On each row, we have: [tex]White = Blue[/tex]
So, the equation becomes
[tex]Blue + Blue = 10[/tex]
[tex]2\ Blue = 10[/tex]
Divide both sides by 2
[tex]Blue = 5[/tex]
Given that triangle GHJ = triangle XYZ What is m
Answers
Identify the coefficient in the term 7x^2 y^3. A. 7 B. 2 C. 3
Answers
Answer:
7
Step-by-step explanation:
it is because 7 is behind the variables
Translate the description as an algebraic expression:
the ratio of 3 and the product of 7 and r
Answers
What is the ratio of the side length of the side opposite any 30 degree angle and the length of the hypothesis ?
Answers
Answer:
1 : 2
Step-by-step explanation:
the ratio is 1 : 2
_____
anyone know the answer
Answers
Answer:
i have no clue
Step-by-step explanation:
If you get paid 30.00 per hour and you worked 8.5 hours how much do you get paid
Answers
$30.00 x 8.5 =$255
Answer:
About 255
Step-by-step explanation:
$30 x 8.5= $225
I hate math, but math "love" me, keep on sticking to me.
Answers
need help with this Q&A 5
Answers
Answer:
C
Step-by-step explanation: