Answer:
[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]
Step-by-step explanation:
x⁴ - 3x² + 2 = 0
x^2×2 - 3x² + 2 = 0
(x²)² - 3x² + 2 = 0
t² - 3t + 2 = 0
t = 1, t = 2
x² = 1, x² = 2
x = -1, x = 1
x = - square root 2, x = square root 2
[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]
Solve for the value of r.
Answer:
[tex]r = 9[/tex]
Step-by-step explanation:
[tex](6r + 4) = (7r - 5) \\ 7r - 6r = 4 + 5 \\ r = 9[/tex]
Raven is making pillows. Each pillow requires 3/5 yard of fabric. Raven has 6 yards of fabric. Use the number line to find 6 ÷ 3/5, the number of pillows Raven can make.
A: 10 pillows PLZ HELP ME MARK BARAINLIEST AND 150 POINTS
B: 6 pillows
C: 5 pillows
D: 3 pillows
Answer: It A. 6 ÷ 3/5 is 10
Step-by-step explanation:
I wasnt sure how to do number line i just did it in my head but hope this helps!
Answer: 10
Step-by-step explanation:
3/5 ÷ 6/1= 3/30
to get 3/30 you do cross multiplication
30÷3=10
I hope this helps you let me know if it did!!
Please help me with this homework
Answer:
[tex]slop = \frac{y2 - y1}{x2 - x1} = \frac{ - 4 - 1}{ - 4 - 0} = \frac{ - 5}{ - 4} = 1.25[/tex]
evaluate m/-6/5 for m = 6 3/4
need an explanation pls^^
Answer:
- 5 [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]\frac{m}{-\frac{6}{5} }[/tex] , is equivalent to
m ÷ - [tex]\frac{6}{5}[/tex] , substitute given value of m
= 6 [tex]\frac{3}{4}[/tex] ÷ - [tex]\frac{6}{5}[/tex] ( change mixed number to improper fraction )
= [tex]\frac{27}{4}[/tex] ÷ - [tex]\frac{6}{5}[/tex] ( leave first fraction, change ÷ to × , flip second fraction )
= [tex]\frac{27}{4}[/tex] × - [tex]\frac{5}{6}[/tex] ( cancel 27 and 6 by 3 )
= [tex]\frac{9}{4}[/tex] × - [tex]\frac{5}{2}[/tex] ( multiply values on numerator/ denominator )
= - [tex]\frac{9(5)}{4(2)}[/tex]
= - [tex]\frac{45}{8}[/tex]
= - 5 [tex]\frac{5}{8}[/tex]
Please help me with this homework
Answer:
Slope is 5 or 5/1
Step-by-step explanation:
( 4 - 9 ) / ( -4 - -3 )
( -5 ) / ( -1 )
5 / 1
Hopefully this helps!
Brainliest please?
Help me solve this please
Answer:
translation
Step-by-step explanation:
translation move with same shape and size
Answer:
translation
Step-by-step explanation:
move the same ship and size
Rewrite as a whole number.
80/8
Answer:
10
Step-by-step explanation:
A, B and C lie on a straight line segment.A, E and D lie on a straight line segment.BE = 1.8m, CD = 9m and BC = 1.7m.Work out the length of AB.Write your answer to two decimal places.
The relationship between the points is an illustration of similar shapes.
The length of AB is 0.43
The given parameters are:
[tex]\mathbf{BE = 1.8}[/tex]
[tex]\mathbf{CD = 9}[/tex]
[tex]\mathbf{BC = 1.7}[/tex]
From the question (see attachment), we have the following observations:
BE corresponds to CDAB corresponds to ACSo, the equivalent ratio is:
[tex]\mathbf{AB:BE =AC:CD }[/tex]
Substitute known values
[tex]\mathbf{AB:1.8 =AC:9 }[/tex]
Express as fractions
[tex]\mathbf{\frac{AB}{1.8} =\frac{AC}{9} }[/tex]
Multiply both sides by 1.8
[tex]\mathbf{AB =\frac{AC}{5} }[/tex]
AC = AB + BC
So, we have:
[tex]\mathbf{AB =\frac{AB + BC}{5} }[/tex]
Substitute 1.7 for BC
[tex]\mathbf{AB =\frac{AB + 1.7}{5} }[/tex]
Multiply through by 5
[tex]\mathbf{5AB =AB + 1.7}[/tex]
Collect like terms
[tex]\mathbf{5AB -AB =1.7}[/tex]
[tex]\mathbf{4AB =1.7}[/tex]
Divide both sides by 4
[tex]\mathbf{AB=0.425}[/tex]
Approximate
[tex]\mathbf{AB=0.43}[/tex]
Hence, the length of AB is 0.43
Read more about similar shapes at:
https://brainly.com/question/20536565
Calculate 36%of $4500
Answer:
1620
Step-by-step explanation:
0.36*4500=1620
(cos2x-1). sin 3x = 0
please give Brainly points!!
AM WILLING TO GIVE BRAINLIEST AND LOTS OF POINTS
Shanice's school made $850 by selling 125 tickets to the annual talent show. They sold adult tickets for $10 and student tickets cost $6. How many adult tickets did they sell? How many student tickets did they sell?
(1) Write a system of equations to represent this situation. Define your variables.
(2) Solve the system of equations algebraically using the elimination method.
(3) Verify your solution by solving the system of equations algebraically using the substitution method.
(4) Verify your solution by graphing the system of equations (I've attached the graph).
(5) Interpret your solution to the system of equations in words.
Answer:
850/10+6=53.125
53.13/2
Step-by-step explanation:
Q3). 0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
The values of :
[tex]x = 2[/tex][tex]y = 3[/tex]The given equations are :
[tex]0.4x + 0.3y = 1.7[/tex][tex]0.7x - 0.2y = 0.8[/tex]now, let's multiply both the equations with 10 on both sides.
so, now our equations will be :
[tex]4x + 3y = 17[/tex][tex]7x - 2y = 8[/tex]from Equation second :
[tex]7x - 2y = 8[/tex][tex]2y = 7x - 8[/tex][tex]y = \dfrac{7x - 8}{2} [/tex]now, let's substitute the value of y from here into Equation first.
[tex]4x + 3y = 17[/tex][tex]4x +3 \bigg ( \dfrac{7x - 8}{2} \bigg) = 17[/tex][tex]4x + \dfrac{21x - 24}{2} = 17[/tex][tex] \dfrac{8x + 21x - 24}{2} = 17[/tex][tex] \dfrac{ 29x - 24 }{2} = 17[/tex][tex]29x - 24 = 34[/tex][tex]29x = 34 + 24[/tex][tex]29x = 58[/tex][tex]x = \dfrac{58}{29} [/tex][tex]x = 2[/tex]here, we got the value of x = 2, let's plug it in equation second to find value of y :
[tex]7x - 2y = 8[/tex][tex]7(2) - 2y = 8[/tex][tex]14 - 2y = 8[/tex][tex]2y = 14 - 8[/tex][tex]2y = 6[/tex][tex]y = \dfrac{6}{2} [/tex][tex]y = 3[/tex]And value of y = 3
Please answer this question correctly, and include work within your answer.
Answer: 11.9 and 12.5
Step-by-step explanation:
|x - 12.2| = 0.3 is telling us that x must be either 12.2 + 0.3 or 12.2 - 0.3.
Longest is (12.2 + 0.3) = 12.5
Shortest is (12.2 - 0.3) = 11.9
Evaluate this question
Help please, it is easy but not for me.
Answer:
60.28.
Step-by-step explanation:
We need the sine function because we are given the opposite side and we need the hypotenuse.
sin 71 = 57 / x
Cross multiply
x * sin 71 = 57
x = 57 / sin 71
= 60.28.
A sandwich store charges a delivery fee to bring lunch to an office building. One office pays 33$ for 4 turkey sandwiches. Another office pays 61$ for 8 turkey sandwiches. How much does each turkey sandwich cost?
Answer:
8.25 for the 33$ and aporximately 7.63 for the 61$
Step-by-step explanation:
calculators exist
1 + -(2/3) - (-m) m = 9/2
answer
[tex]m = + 5 \div \sqrt{6 \: } \: \: \: or \: - 5 \div \sqrt{6} [/tex]
Please help me with this homework
Answer:
2-0
_____
-8-(-1)
explanation:
Pls help, and fast!!! i clicked a on accident
Answer:
i think it's A
Step-by-step explanation:
[tex]3\frac{1}{2} * \frac{1}{6}\\ \frac{7}{12}[/tex]
14−{6+2[−1(8−12)]2} What is the value of the expression? Enter your answer in the box.
Answer:
-24
Step-by-step explanation:
I took the test
Answer:
-24
Step-by-step explanation:
this is correct, i took the test in k12
Find the vertex of each parabola.
16. y = -x2 + 6x + 30
Answer: (3,39)
Step-by-step explanation:
!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?
Answer:
a
Step-by-step explanation:
A number that is a factor of 2 or more numbers is called a ______ of those number
Answer:
Composite
Step-by-step explanation:
A composite number is a number with 2 or more factors while a prime number is a number with only 2 factors.
Answer:
composite number.
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP RN
Answer:
7 to the power of 13
Step-by-step explanation:
Answer:
7 to the power of 13
Step-by-step explanation:
Step 1 - 7 to the power of 8 (7 x 8 = 56)
Step 2 - 7 to the power of 5 (7 x 5 = 35)
Step 3 - (7 x 8) + (7 x 5) = 91
Step 4 - Divide 91 by 7
Then your answer would be 7 to the power of 13
Graph by using the table of values
I hope the screenshots help, for future references you can you Desmos graphing calculator.
Solve the following equation:
5x - 3(x - 2) = -2
-
A) -4
B 2
C) -2
D
0
Find the slope of the line graphed below!!
Answer:
The slope is 3/2
Step-by-step explanation:
Rise = 3
Run = 2
Rise/Run = 3/2
r 44 44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444
HELP ME PLEASE THIS IS DUE VERY SOON
Answer:
5/12
Step-by-step explanation:
Divide both numbers in one of the ratios by their highest common factor.
Please give me brainliest it helps a lot!!
how do I convert Fahrenheit to Celsius? my homeschooling program does a very confusing job at explaining things.
Answer:
start with your fahrenheit then Subtract 32 then divide by 1.8
Step-by-step explanation: