I searched your question and here is what I found:
Step-by-step explanation:
L = 4 + 3W (from the second condition)
L2 = 66 + LW (combining the first and third condition)
L2 = 66 + L(L-4)/3
3L2 = 198 + L2 -4L
2L2 + 4L -198 = 0
(2L - 18)(L + 11) = 0; discarding the negative root for lack of practicality , L = 9
from the first equation W = (L - 4)/3 = 5/3 = 1 2/3; 1.67
Hence the length of the rectangle is 9 cm and the width is 1.67 cm
check;
2nd condition; L = 4 + 3*1.67 = 9 (proven)
1st and 3rd condition; 92 = 66 + 9*1.67 = 81 (proven)
The length of the rectangle is 9 cm.
The width of the rectangle is 5/3 cm.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Rectangle:
Length = 3w + 4
Width = w
Area = (3w + 4)w
Square:
Side = 3w + 4
Area = (3w + 4)²
Now,
The area of the square is 66 more than the area of the rectangle.
This means,
(3w + 4)² = (3w + 4)w + 66
9w² + 16 + 24w = 3w² + 4w + 66
9w² - 3w² + 24w - 4w + 16 - 66 = 0
6w² + 20w - 50 = 0
2 (3w² + 10w - 25) = 0
3w² + 10w - 25 = 0
3w² + (15 - 5)w - 25 = 0
3w² + 15w - 5w - 25 = 0
3w(w + 5) - 5(w + 5) = 0
(3w - 5)(w + 5) = 0
w + 5 = 0 and 3w - 5 = 0
w + 5 = 0
w = -5 (rejected since its negative)
3w - 5 = 0
3w = 5
w = 5/3
Now,
Length.
= 3w + 4
= 3 x 5/3 + 4
= 5 + 4
= 9
Width = 5/3
Thus,
The length and width of the rectangle are 9 and 5/3.
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Simplify Each Expression By Combining Like Terms.
1) 11x+9x
2) 8y-7y
3) 5t-7t
4) -n+4n
5) 5w^2 + 12w^2
6) 2x^2 - 9x^2
7) -4y^2 + 9y^2
8) 6c-4 + 2c-7
9) 5-3x+y+6
Answer:
1) 11x + 9x
= 20x
2) 8y - 7y
= 1y
= y
3) 5t - 7t
= -2t
4) -n + 4n
= 3n
5) 5w² + 12w²
= 17w²
6) 2x² - 9x²
= -7x²
7) -4y² + 9y²
= 5y²
8) 6c - 4 + 2c - 7
= 8c - 11
9) 5 - 3x + y + 6
= 11 - 3x + y
I need help and the time is running please help
Answer:
I think its B
Step-by-step explanation:
I'm sorry if I'm wrong. I'm busy
Answer:
????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????:P
Which equation has x = -i and x = = 21v3 as two of its solutions?
Answer:
The equation in option A is correct.
Step-by-step explanation:
Given the equation
[tex]\:y=x^4+13x^2+12[/tex]
Let us find the solution by setting y=0
[tex]x^4+13x^2+12=0\:\:\:\:\:[/tex]
[tex]\mathrm{Rewrite\:the\:equation\:with\:}u=x^2\mathrm{\:and\:}u^2=x^4[/tex]
[tex]u^2+13u+12=0[/tex]
if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]u+1=0\quad \mathrm{or}\quad \:u+12=0[/tex]
[tex]u=-1,\:u=-12[/tex]
[tex]\mathrm{Substitute\:back}\:u=x^2,\:\mathrm{solve\:for}\:x[/tex]
[tex]x^2=-1,\:x^2=-12[/tex]
solving
[tex]x^2=-1[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{-1},\:x=-\sqrt{-1}[/tex]
[tex]x=i,\:x=-i[/tex] ∵ [tex]\:\sqrt{-1}=i[/tex]
solving
[tex]x^2=-12[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{-12},\:x=-\sqrt{-12}[/tex]
[tex]x=2\sqrt{3}i,\:x=-2\sqrt{3}i[/tex]
Hence, the solutions are:
[tex]x=i,\:x=-i,\:x=2\sqrt{3}i,\:x=-2\sqrt{3}i[/tex]
Therefore, the equation in option A is correct.
YOU GET CORRECT YOU GET BRAINLIEST!!!!!!!
Answer: 6
Step-by-step explanation:
Divide. Write your answer as a fraction or a mixed number in simplest form
8 2/3 • 1 7/9
The addition of the fraction 8 2/3 + 1 7/9 is 10 4/9.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, the addition of the fraction will be:
= 8 2/3 + 1 7/9
= 8 6/9 + 1 7/9
= 9 13/9
= 9 + 1 4/9
= 10 4/9
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After school, Maya and Naomi headed to the beach, 6 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi's and Maya's average speeds?
Answer:
24
Step-by-step explanation:
You take the end points for the graphs and ignore the bumpy areas since it is taking the average and that is irrelevant to the question. naomi is 6 m/10 min which is 36 mph and maya is 12 mph. 36-12=24.
Answer:
Step-by-step explanation:
a quiz has 25 questions every correct answer scores 3 points Each incorrect answer loses 2 points. A question not answered scored 0 points. a student answers 15 questions 10 are correct how many points does he have?
Answer:
20
Step-by-step explanation:
10x3=30
5x-2=-10
10x0=0
30-10=20
20 points
Please ANSWER Correctly The Question will be Placed first then the graphs will be placed in order for answer choices from A - D
Answer:
C
Step-by-step explanation:
Answer:
Option C
Step-by-step explanation:
By looking at the points for (x,y) in the tables, we notice that the only graph that has the points at (-1,-3), (1,2) and you can assume the other points will be on the graph from the table.
In the following activity, write an equation to represent each verbal statement, and use it to find the value of each unknown number. Then, put the solution values in order from smallest to largest. [Note: The smallest solution is "first", and the largest solution is "fifth".]
1. fourth
Half of a number is added to four. This sum is equivalent to negative one.
2. first
The sum of a number and three is divided by five. The result is negative two.
3. third
The difference between four times a number and five has a result of negative eight.
4. second
The difference between a number and five is multiplied by negative two. The
resulting product equals fourteen.
5. fifth
The sum of a number and two is equal to the quotient of six and negative four.
I WILL GIVE BRAINLEST
Answer:
First x=-13 (The sum of a number and three is divided by five. The result is negative two.)
Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)
Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)
Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)
Fifth x=12 ( The difference between a number and five is multiplied by negative two. The resulting product equals fourteen. )
Step-by-step explanation:
We will consider number = x
1. Half of a number is added to four. This sum is equivalent to negative one.
[tex]\frac{1}{2}x+4=-1[/tex]
Now solving to find value of x
[tex]\frac{1}{2}x+4=-1\\\frac{1}{2}x=-1-4\\\frac{1}{2}x=-5\\x=-5*2\\x=-10[/tex]
So, value of x=-10
2. The sum of a number and three is divided by five. The result is negative two.
[tex]\frac{x+3}{5}=-2[/tex]
Solving:
[tex]\frac{x+3}{5}=-2\\x+3=-2*5\\x+3=-10\\x=-10-3\\x=-13[/tex]
So, value of x=-13
3. The difference between four times a number and five has a result of negative eight.
[tex]4x-5=-8[/tex]
Solving:
[tex]4x-5=8\\4x=8+5\\4x=13\\x=13/4\\x=3.25[/tex]
So, value of x=3.25
4. The difference between a number and five is multiplied by negative two. The resulting product equals fourteen.
[tex](x-5)*-2=-14[/tex]
Solving
[tex](x-5)*-2=-14\\-2x+10=-14\\-2x=-14-10\\-2x=-24\\x=-24/-2\\x=12[/tex]
So, value of x=12
5. The sum of a number and two is equal to the quotient of six and negative four.
[tex]x+2=\frac{6}{-4}[/tex]
Solving:
[tex]x+2=\frac{6}{-4}\\x+2=-\frac{3}{2}\\x= -\frac{3}{2}-2\\x=\frac{-3-2*2}{2} \\x=\frac{-3-4}{2} \\x=\frac{-7}{2} \\x=-3.5[/tex]
So, value of x=-3.5
Now arranging based on values of x
x=-10, x=-13, x=3.25, x=12, x=-3.5
First x=-13 (The sum of a number and three is divided by five. The result is negative two.)
Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)
Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)
Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)
Fifth x=12 ( The difference between a number and five is multiplied by negative two. The resulting product equals fourteen. )
Charlotte makes crepes using 5/8 cup of milk for every 1/2 cup of flour. She wants to know the amount of milk uses per cup of flour.
Answer:
1 1/4
Step-by-step explanation:
I got it right.
The milk uses per cup of flour will be 5/4 cups of milk per cup of flour.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
Charlotte makes crepes using 5/8 cups of milk for every 1/2 cup of flour.
She wants to know the amount of milk used per cup of flour. Then we have
⇒ (5/8) ÷ (1/2)
⇒ (5 / 8) x (2 / 1)
⇒ 5 / 4 cups of milk per cup of flour
The milk uses per cup of flour will be 5/4 cups of milk per cup of flour.
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We are planning a reception for our daughter. The hall that we are renting charges a $90 cleanup fee. In addition to the cleanup fee, they charge $29 per guest for food and drinks.
If we have $3,100.00 available, what is the maximum number of guest we can invite without going over our budget?
Answer:
The equation is y = 29x + 90. So, if you plug in 3,100.00 for y.
3,100.00 = 29x + 90
3,100.00 - 90 = 29x
3,010.00 = 29x
3,010.00/29 = 29x/29
x = 103 guests
4x+5y=9
4x−2y=2
x= y=
Answer:
For example, the solution to the equations 2x + 3y = 15 and x - y = -10 is x = -3 ... Equation 2: 4x + 2y = 20
Answer:
x=0, y=0 this is so easy
3. Ms. Turner's garden has side lengths of V17 yards and V24 yards.
Mr. Webster's garden has side lengths of V5 yards and 138 yards.
Compare the areas of the gardens. Decide whose garden is larger and by how much. Be sure to
explain your thinking. (A = lw)
+
10:04 PS
Answer:
Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.
Step-by-step explanation:
Representing the length of the garden by l and width of the garden by w.
For turner's garden, given that l= 24 yards and w= 17 yards.
As the area, A, of the rectangular garden having length l and width w is
So, the area of Ms. Turner's garden, = 24x17=408 sq. yards
For turner's garden, given that l= 5 yards and w= 138 yards.
So, by using equation (i),
the area of Mr. Webster's garden, = 5x138=690 sq. yards
Here, [tex]A_2 > A_1[/tex], and
= 690-408= 282 sq. yards.
Hence, Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.
Which expression could be used to determine the cost of a $50 video game after a 20 percent discount?
50 dollars (0.20)
50 dollars minus left-bracket (50 dollars) (0.08) right-bracket
50 dollars minus 0.80
50 dollars (0.80). please a b c or d?
Answer:
d
Step-by-step explanation:
to find a discount you would multiply 50(0.20) whatever amount you get you would subtract that from 50
this is the same as 50(0.80)
Figure PQRS is shown below.
(Figure P Q R S has 4 congruent sides. 2 angles are right angles.)
Which names accurately describe figure PQRS? Select three options.
- parallelogram
- pentagon
- rectangle
- rhombus
- trapezoid
Thanks! Will be awarding brainliest to the person who answers the quickest.
Answer:
parallelogram, rectangle, rhombus
Step-by-step explanation:
have a wonderful day
Parallelogram, rectangle, rhombus names accurately describe figure PQRS.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
The given figure PQRS is a quadrilateral.
A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other.
A rectangle is a special case of a parallelogram in which each pair of adjacent sides is perpendicular.
A rhombus is a quadrilateral whose four sides all have the same length.
The figure satisfies the properties of parallelogram, rectangle and rhombus.
Hence, parallelogram, rectangle, rhombus names accurately describe figure PQRS.
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Coach South and Mr. Dr. Coach Rhodes are having a problem solving competition. Mr. Dr. Coach Rhodes can solve four more problems than twice the number of Coach South. If Mr. Dr. COach Rhodes has solved twenty problems, how many problems has Coach South solved?
Answer: 8
Step-by-step explanation: if Coach Rhodes solves 4 more than twice Coach South then that would mean Coach South solves 8.
Twice 8 equals 16, plus 4 equals 20.
Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.
Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Answer: 20 weeks in 1 week
in 2 weeks 40
Step-by-step explanation:
This proves that the equation is true
PLEASE HELP ASAP!!! Normal people- me- I WILL MARK FIRST ANSWER BRAINLIEST BUT IT HAS TO BE AN ACTUAL ANSWER (the question is in the image)
Answer:
It would be B
Step-by-step explanation:
What is the y-intercept of the function f()=4-5x?
Answer:
Step-by-step explanation:
4
Xiaoming is making cookies. Each batch of cookies uses3 eggs. If Xiaoming has 20 eggs, and assuming he has enough of the other ingredients to make the cookies what is the greatest number of batches that he can make ?
Answer:
6
Step-by-step explanation:
3(1)=3 3(2)=6 3(3)=9 3(4)=12 3(5)=15
3(6)=18 3(7)=21 3(8)=24
----------------------------------------------------
3(6)=18 is closest to 20
so the greatest number of batches Xiaoming can make is 6.
isolate the variable on the following problem. show your work.
11z= 4
⬚︎ - 5 = 6. what is the value of the square
11 is the value of the square
Determine how (if possible) the triangles can be proved similar.
Answer:
It's not similar :)
hope this helps<3
The triangles are not similar because the sides are not proportional.
What are Similar Triangles?Similar triangles are those triangles which has the same shape but different size.
The length of sides and angles are proportional in similar triangles.
So we know that length of sides are proportional.
If we find the ratio of corresponding sides of the two triangles, then they must be equal to a common value.
We have only the length of two sides of each triangle.
If those sides are proportional, we must have an angle of each triangle to be equal.
Here, the angles formed by the intersecting lines are vertical angles and are thus equal.
Let's look if the sides are proportional.
20 / 36 = 5/9
24 / 42 = 4/7
Sides are not proportional.
Hence the given triangles are not similar.
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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $7 and each adult ticket sells for $9.50. There was a total of $883.50 in revenue from all ticket sales and the drama club sold 27 more adult tickets than student tickets. Determine the number of student tickets sold and the number of adult tickets sold.
Answer:
Student tickets 38 and adult tickets 65
Step-by-step explanation:
38x7= $266
65x9.5= $617.50
$266+$617.50=$883.50
Solve for x and then find the measure of angle, A.
Answer:
x = 25 ; m∠A = 148°
Step-by-step explanation:
∠A ≅ ∠B (alternate exterior angles)
(6x - 2)° = (4x + 48)°
2x = 50
x = 25
m∠A = 6(25) - 2 = 148°
Question 2 plz help I’ll try my best to mark brainliest
Answer:
F. [tex]\sqrt{x}[/tex]
Step-by-step explanation:
if you replace x with 2 and plug these into your calculator, you can see that [tex]\sqrt{x}[/tex] has the least value
Question 6 (5 points)
(03.02 MC)
What is the length of the third side of the window frame below? (5 points)
(Figure is not drawn to scale.)
30 inches
36 inches
50 inches
75 inches
Answer:
30 inches
Step-by-step explanation:
using a^2+b^2=c^2
72^2=5184
30^2=900
5184+900=6084
√6084=78
Answer:
30
Step-by-step explanation:
( 2 + 2i )^20=
(a) 2^20
(b) 2^30
(c) 2^20i
(d) -2^30
24
34
22i
-34
yup your welcome
a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven
Answer:
0.32x + 60= y
Step-by-step explanation:
HELP ASAP
i need too know these
Answer:
3. y = 4
4. y = 40
Step-by-step explanation:
3. To find y, input the value of 2 for x in the equation y = 3x - 2.
y = 3(2) - 2
y = 6 - 2
y = 4
y is 4 when x is 2.
4. To find the answer we first have to make an equation in y=mx + b form, where b is the y-intercept and m is the slope. We know that the y-intercept is -5 because the table tells us that when x is zero, y is -5. So, we can use the y-intercept and a point In this example I will use point (6, 13)) to find the slope:
Input the values you know into the equation:
13 = 6m - 5
Add 5 to both sides to isolate the 6m:
18 = 6m
Divide both sides by 6 to isolate the m:
3 = m
Our slope is 3. Now that we know the slope and y-intercept, we can make our equation:
y = 3x - 5
We can use this equation to find y when x is 15:
Input 15 in place of x:
y = 3(15) - 5
Solve:
y = 45 -5
y = 40
When x is 15, y is 40.
Hope this helps :)