Answer:
69
Step-by-step explanation:
Use addition to solve the linear system of equations. 2x + y = 5 3x + 2y = 4 (6,7) (-6,-7) (6,-7) (-7,6)
Answer:
Solving 5x + y = 5 and - 3x + 2y = 6 gives (4/13,45/13) Similarly solve other combinations by observing graph to get other coordinates. From the figure we have obtained coordinates of corners as:
Step-by-step explanation:
The Solution for the linear equation is ( 6, -7)
What is Linear Equation?First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation.
Given:
2x + y = 5.......................(1)
and, 3x + 2y = 4....................(2)
Multiply the equation (1) by 2 we get
4x + 2y = 10 ....................(3)
Solving Equation (2) and (3), we get
3x + 2y = 4
4x + 2y = 10
- - -
_____________
-x = -6
x= 6
and, y= 5- 2x = 5-2(6) = -7
Hence, the solution is (6, -7)
Learn more about linear equation here:
https://brainly.com/question/11897796
#SPJ2
If 0≤β<2π, find all values of β that satisfy the equation cos(2β)=√3/2
Answer:
π/12 rad and 23π/12 radStep-by-step explanation:
Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.
[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]
Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]
Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°
Converting to radians;
180° = πrad
15° = 15π/180 rad
15° = π/12 rad
345° = 345π/180
345° = 23π/12 rad
The values in radians are π/12 rad and 23π/12 rad
Think of a way you use Geometry or a way Geometry has improved your life. Write 2-3 sentences about the impact Geometry has on your life and why we should learn about it!
Answer:
Geometery is used everywhere you go. Construction blueprints, the design of assembly systems in manufacturing, nanotechnology, computer graphics, visual graphs, video game programming virtual reality creation, and etc. It has given us what we have today and why we have everything today. Without geometry to help us how would construction know how to build the bridge so it won't fall. It benefits us in ways people don't expect but everyone should learn it so we can recognize the importance of math to the real world. Stuff wasn't just created it was hard work and dedication which led to the great feeling of accomplishment!
Step-by-step explanation:
Not plagiarized so go ahead and use it.
Help me please!!! This is the last day I can finish this ASAP PLEASE I will comment the solutions
Answer:
See below.
Step-by-step explanation:
1)
[tex]64=x^2\\x=\sqrt{64}\\x=8[/tex]
2)
[tex]64=x^3\\x=\sqrt[3]{64}\\ x=4[/tex]
[tex](4^3=64)[/tex]
3)
[tex]2^x=32\\2^x=2^5\\x=5[/tex]
4)
[tex]x=(\frac{2}{5})^3=\frac{2^3}{5^3}=8/125[/tex]
5)
[tex]\frac{16}{9} =x^2\\x=\sqrt{\frac{16}{9} }\\ x=\frac{\sqrt{16} }{\sqrt{9}} \\x=4/3[/tex]
6)
[tex]2\cdot2^5=2^x\\2^1\cdot2^5=2^x\\2^{(1+5)}=2^6=2^x\\x=6[/tex]
7)
[tex]2x=2^4\\2x=16\\x=8[/tex]
8)
[tex]4^3=8^x\\(2^2)^3=(2^3)^x\\2^6=2^{3x}\\3x=6\\x=2[/tex]
Answer:
1) 8
2) 4
3) 6
4) 6/15
5) 4/3
6) 6
7) 8
8) 2
Step-by-step explanation:
Im about to cook dinner just comment if you want work shown.
PLEASE HELP! Will mark brainliest! Find the slope of each line:
Answer:
6/7
Step-by-step explanation:
First, find two points that fall on the line and are coordinates on the graph.
The two points I found were (3,5) and (10,11).
Use the slope formula to come up with the slope.
[tex]slope = \frac{change in y}{change in x}[/tex]
slope = [tex]\frac{11-5}{10-3}[/tex] = [tex]\frac{6}{7}[/tex]
The price of one share of Disney stock declined $2.50 per days for 5 days in a row. What was the overall change in the price?
What is the name of a number that can be written in the form a+bi where a and b are nonzero real numbers?
Answer:
We are talking about Complex numbers.
Considering [tex]\mathbb{C}[/tex] as the set of Complex numbers, we have
[tex]\Bbb{C}=\{a+bi\ : a, b \in\ \Bbb{R}\}[/tex]
A complex number is a number of the form [tex]a+bi[/tex]
as [tex]i^2=-1[/tex]
Please help being timed!!! Given: △ABC AB=BC=AC Area of △ABC= 25 3 4 cm2 Find: The perimeter
Answer:
15 cm
Step-by-step explanation:
The area of an equilateral triangle is:
[tex]\frac{\sqrt{3} }{4}a^2[/tex], where a is the length of one side.
We can find the value of a (the length) by:
[tex]\frac{25\sqrt{3} }{4} = \frac{\sqrt{3} }{4}a^2[/tex]
[tex]a^2 = 25[/tex]
a = 5, so the side length of this triangle is 5 cm.
The perimeter of an equilateral triangle will be 3 times the length.
[tex]3\cdot5=15[/tex]
Hope this helped!
Solve. 1/2(-4 — 2n) = -17 Please explain it to me if you can I dont really understand how to do these types of problems so it would be much appreciated!
Answer:
n = 15Step-by-step explanation:
[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]
First of all try to see if there are fractions in the equation .
If so try to find the LCM of the fractions and multiply the equation through by the LCM.
If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction
If there are brackets try to solve the terms in the bracket first
For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2
That's
[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]
[tex] - 4 - 2n = - 34[/tex]
Try to make the unknown variable the subject
That's
[tex] - 2n = - 34 + 4[/tex]
Simplify
[tex] - 2n = - 30[/tex]
Divide both sides by -2 to make n stand alone
That's
[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]
We have the final answer as
n = 15Hope this helps you
i’ll mark you brainliest, please show work!!
Answer:
width = 10
length = 2 (10) + 7 = 27
Step 1:
If the perimeter was 74 inches, then that means one side of the width and one side of the length added together is 1/2 of 74, which is 37.
Step 2:
We can solve this by using this equation:
2w + 7 + w = 37
Then, we subtract 7 from both sides, since in the passage, it states that the length is 7 more than twice the width.
2w + w = 30
Add the w's together:
3w = 30
And then divide both sides by 3 to get:
w = 10
Step 3:
Now, we can plug in w into our equation to solve for the width and length.
width = 10
length = 2 (10) + 7 = 27
_____2w+7_____
| | w
--------------------------
Tom bought 20 boxes of flowers. Each box cost him £6. Each box contains 15 flowers. 3/5 He sells of the total number of flowers for 70p each. He then sells the remaining at 50p each. Work out the total profit Tom makes.
330
20 * 6 equals 120 that is the cost price
and 3/5 of the 15 flowers is 9 which was sold for 7
and the remaining that is 15 - 9 that's 6 sold for 50 each
now times it by 70 * 9 equals 630 50 * 6 equals 300 so 630 - 300 equals to 330 that is the profit
I hope this helps
Answer:
66
Step-by-step explanation:
The money he spent:
20 x 6 = 120
=> The number of flowers he bought:
=> 15 x 20 = 300
3/5 of 300 = 900/5 = 180
So, he sold 180 flowers for 70cents.
=> 180 x 70 = 12600 cents
=> 126 dollars
The remaining for 50 cents
=> 2/5 x 300 = 600 / 5 = 120
So, he sold 120 flowers for 50 cents
=> 120 x 50 = 6000 cents
=> 60 dollars
He got a total of 60 + 126 = 186 dollars.
He spent 120 dollars in the starting to buy the flowers.
=> 186 - 120
=> 66 dollars
So, he gets a profit of 66 dollars.
Will give brainliest to first person Solve with determinants x+4y=5 , 5x-7y=-2
Question 9 of 10
Which of the following are exterior angles? Check all that apply.
O A. 24
O B. _3
O c. 7
O D. 25
O E. 2.
O F. 26
Answer:
[tex]\boxed{\sf A, \ B \ and \ E}[/tex]
Step-by-step explanation:
[tex]\sf Exterior \ angles \ are \ the \ angles \ located \ outside \ of \ the \ triangle.[/tex]
Find the surface area and volume of the following figures.
White figure Area = 128[tex]\pi[/tex]
White surface area = appro. 301
Yellow area = 320[tex]\pi[/tex]
Yellow Surface area = approx. 653
Area found with = 2πrh+2πr2
Surface Area found with = 2πrh+2πr2
You need to memorize them for tests
Hope that helped!!! k
The Mali Empire of West Africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610
Let x represent any year. Write an inequality in terms of x and 1610 that is true only for values of x that represent years after the year the Mali Empire fell.
Answer:
[tex]x > 1610[/tex]
Step-by-step explanation:
Given that the empire fell in 1610
Required
Represent years after the fall of the empire using inequality
From the question, we understand that
1. x represent years
2. The empire fell in 1610
This implies that, years before (and including) 1610 are invalid and we only have to consider years after 1610;
Years such as 1611, 1612, 1613.......
All the aforementioned years are greater than 1610;
The keyword is greater than 1610
And this can be represented as [tex]x > 1610[/tex]
What is the area of the regular hexagon shown below?
Answer:
Area = 2127.1 cm^2 (to the tenth)
Step-by-step explanation:
We may be missing the length of a side at the top of the picture.
However, we are given "a", so the sides of a regular hexagon can be calculated.
The side of a regular hexagon given "a" is
s = 2a/sqrt(3) = 28.61
Perimeter of hexagon
= 6s
Area of hexagon
= a*perimeter/2
= a*6s/2
= 3as
= 3a*2a/sqrt(3)
=2sqrt(3)a^2
= 2*sqrt(3)*24.78^2
= 2127.1 cm^2 (to the tenth)
Can you solve this???
BAE + HEG = 180°
124 + 2x+6 = 180°
2x+6 = 56
x = 50/2
x = 25°
Reason:
Given
HEG = EAD since they are corresponding angles
EAD + EAB = 180° since they are supplementary angles.
xx
algebra 4 is hard because the answers aren’t on brainly
Answer:
5
Step-by-step explanation:
(p - q)(2)
= p(2) - q(2) ← use values corresponding to x = 2 from both tables
= 3 - (- 2)
= 3 + 2
= 5
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 665 milliliters of the drug, how many milliliters of compound B are needed?
375 milliliters of compound B
Faith owns an organic apple orchard. From her experience the last few seasons, she has developed the formula P=20x-0.01x^2 -240 to predict her profit P in dollars this season if her trees produce x bushels of apples. What is Faith’s predicted profit this season if her orchard produces 300 bushels of apples?
P=20x-0.01x^2-240
P=20(300)-0.01(300)^2-240
P=6000-0.01(90000)-240
P=6000-900-240
P=4860
Remember PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
EXPLANATION: first Is Parentheses, which would be 300, multiply that by 20, that would be 6000.
Next is Exponents, which would be the (^2) so you would Multiply the 300 by itself 2 times. which is 90000
Next is Multiplication, Multiply 0.01 by 90000, which would be 900.
There is nothing to divide or add so skip that.
Next is subtraction, subtract 6000-900-240 and the answer would be 4860.
so Faith's prediction profit for this season would be 4860 when her orchard produces 300 bushels of apples.
I hope that helped! Good Luck!
Raj and Carlos are reading. Carlos reads a chapter in 444 minutes, which is 333 minutes less time than it takes Raj.
How long does it take Raj to read a chapter?
Answer:
777 minutes
Step-by-step explanation:
Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj
444+ 333 = 777
-31-4x=-5-5(1+5x) I need help i suck at math
Answer:
x = 1
Step-by-step explanation:
−31−4x=−5−5(1+5x)
First step is to simplify both sides
−31−4x=−5−5(1+5x)
−31+−4x=−5+(−5)(1)+(−5)(5x)
distribute
−31+−4x=−5+−5+−25x
−4x−31=(−25x)+(−5+−5)
and combine like terms
−4x−31=−25x+−10
−4x−31=−25x−10
Then add 25x to both sides
−4x−31+25x=−25x−10+25x
21x−31=−10
Add 31 to both sides
21x−31+31=−10+31
21x=21
And divide by 21!
21x/21 = 21/21
x=1
Answer:
X=1
Step-by-step explanation:
First this is you want to distribute the -5 to the 1 and 5x. Now you should have -31-4x=-5-5-25x. Next thing is to combine your like terms which would be -5 and -5 and you get -10. (-31-4x=-10-25x) Now add 31 to both sides and your new solution is -4x=21-25x. This time you add 25x to both sides and get 21x=21. Final step you divide both sides by 21 and get X=1. :)
Please simplify. 2(y+6)-6y Thanks!
Answer:
-4(y-3)
Step-by-step explanation:
you need to factor out the 2 from the expression, add common like terms, factor out -2 from the expression, multiply a positive and a negative to get a negative, then multiply the numbers, and you'll get your answer
Find an equation of the line with the slope m= 3/2 that passes through the point (8,-3). Write the equation in the form Ax+By = C.
Answer:
work is shown and pictured
attachment help asap ill mark brainliest
Answer:
1 is not even and it is a factor of 8
Answer:
1
Step-by-step explanation:
Factors of 8
1,2,4,8
1 is an odd number
This proves that Alice is wrong :(
Hope this helps....
Have a GOOD DAY !!!
Pls mark my ans as brainliest If u mark my ans as brainliest u will get 3 extra pointsPlease help! Solve for p: -p + 8 - 9 = 9
Answer:
-10
Step-by-step explanation:
-p+8-9=9
-p-1=9
-p=10
p=-10
Find the center, vertices, and foci of the ellipse with equation x squared divided by 81 plus y squared divided by 225 equals 1.
Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28
The right question is:
[tex]\frac{1}{2}x - 3y = 9[/tex]
[tex]5x + y = 28[/tex]
Answer:
[tex]x = 6[/tex]
[tex]y = -2[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}x - 3y = 9[/tex]
[tex]5x + y = 28[/tex]
Required
Solve for x and y
Make y the subject of formula in the second equation
[tex]y = 28 - 5x[/tex]
Substitute [tex]y = 28 - 5x[/tex] in the first equation
[tex]\frac{1}{2}x - 3(28 - 5x) = 9[/tex]
Open the bracket
[tex]\frac{1}{2}x - 3*28 - 3*- 5x = 9[/tex]
[tex]\frac{1}{2}x - 84 + 15x = 9[/tex]
Collect Like Terms
[tex]\frac{1}{2}x + 15x = 9+ 84[/tex]
[tex]\frac{x}{2} + 15x = 9+ 84[/tex]
[tex]\frac{x+30x}{2} = 93[/tex]
[tex]\frac{31x}{2} = 93[/tex]
Multiply both sides by 2
[tex]2 * \frac{31x}{2} = 93 * 2[/tex]
[tex]31x = 186[/tex]
Divide both sides by 31
[tex]\frac{31x}{31} = \frac{186}{31}[/tex]
[tex]x = \frac{186}{31}[/tex]
[tex]x = 6[/tex]
Recall that [tex]y = 28 - 5x[/tex]
So;
[tex]y = 28 - 5 * 6[/tex]
[tex]y = 28 - 30[/tex]
[tex]y = -2[/tex]
Hence;
[tex]x = 6[/tex] and [tex]y = -2[/tex]
a grandfather purchased a brand new car in 1958 for $2500.the car depreciated $325 a year. what would the car be worth 4 years after it was bought?
Answer:
$1200
Step-by-step explanation:
Since the value of the car depreciates $325 a year.
After 4 years it would be 1300, becuase $325 × 4 = $1300.
So, $2500 - $1300 = $1200
Find the distance between the points X and Y shown. Question 5 options: A. 29−−√ B. 21−−√ C. 21 D. 5–√
Answer:
A
Step-by-step explanation:
From the graph we can notice that the coordinates of the poinrs x and y are:
● x(-2,0)
● y(3,-2)
There are many methods to find the distance between x and y. We will use the distance formula.
Let d be the distance between x and y.
● d = √[(-2-3)^2 + (0-(-2))^2]
● d = √[(-5)^2 + 2^2]
● d = √(25+ 4)
● d = √(29)
The other method was using the pythagorian theorem. d is the hypotenus.