Answer:
neither
Step-by-step explanation:
If 2 lines are parallel then their slopes are equal
If 2 lines are perpendicular then the product of their slopes = - 1
Calculate the slopes m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 4, - 5 ) and (x₂, y₂ ) = B (8, - 1 )
[tex]m_{AB}[/tex] = [tex]\frac{-1-(-5)}{8-(-4)}[/tex] = [tex]\frac{-1+5}{8+4}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]
Repeat
with (x₁, y₁ ) = C (- 5, 9 ) and (x₂, y₂ ) = D (2, 8 )
[tex]m_{CD}[/tex] = [tex]\frac{8-9}{2-(-5)}[/tex] = [tex]\frac{-1}{2+5}[/tex] = - [tex]\frac{1}{7}[/tex]
The slopes are neither equal nor have a product of - 1
3. How many 1/8's are in 1 1/4?
Answer:
10
Step-by-step explanation:
There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.
solution set of (3x+7)^2+5=(7x-9)^2x+5
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3*x+7)^2+5-((7*x-9)^2*x+5)=0
Step by step solution :
STEP1:
Equation at the end of step 1
(((3x+7)2)+5)-(x•(7x-9)2+5) = 0
STEP2:
Checking for a perfect cube
2.1 -49x3+135x2-39x+49 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: -49x3+135x2-39x+49
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -39x+49
Group 2: -49x3+135x2
Pull out from each group separately :
Group 1: (-39x+49) • (1) = (39x-49) • (-1)
Group 2: (49x-135) • (-x2)
Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
Find roots (zeroes) of : F(x) = -49x3+135x2-39x+49
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is -49 and the Trailing Constant is 49.
The factor(s) are:
of the Leading Coefficient : 1,7 ,49
of the Trailing Constant : 1 ,7 ,49
Let us test ....
Equation at the end of step
2
:
-49x3 + 135x2 - 39x + 49 = 0
STEP
3
:
Cubic Equations:
3.1 Solve -49x3+135x2-39x+49 = 0
Future releases of Tiger-Algebra will solve equations of the third degree directly.
Meanwhile we will use the Bisection method to approximate one real solution.
Approximating a root using the Bisection Method :
We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).
The function is F(x) = -49x3 + 135x2 - 39x + 49
At x= 3.00 F(x) is equal to -176.00
At x= 2.00 F(x) is equal to 119.00
Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this interval, F(x) is zero
Procedure :
(1) Find a point "Left" where F(Left) < 0
(2) Find a point 'Right' where F(Right) > 0
(3) Compute 'Middle' the middle point of the interval [Left,Right]
(4) Calculate Value = F(Middle)
(5) If Value is close enough to zero goto Step (7)
Else :
If Value < 0 then : Left <- Middle
If Value > 0 then : Right <- Middle
(6) Loop back to Step (3)
(7) Done!! The approximation found is Middle
Next Middle will get us close enough to zero:
F( 2.596896529 ) is 0.000000414
The desired approximation of the solution is:
x ≓ 2.596896529
Note, ≓ is the approximation symbol
One solution was found :
x ≓ 2.596896529
Please help me ASAP
Answer:
A: 9.5s+19.95 is less than or equal to 55
Step-by-step explanation:
She has no more than 55 dollars to spend so it cant be greater than but it can be equal to 55 so the answer is the first option
(PLEASE HELP ME I NEED THIS VERY QUICKLY)
find the value of x in the rhombus
Answer:
1/2 and -5/2
Step-by-step explanation:
Assuming all sides are equal just put the equations equal to each other and solve
If you see this can you answer this question.
Answer:
The last one
Step-by-step explanation:
-4 1/3 is less than -1 3/4 because its farther on the negative side and -1 3/4 is closer to the positive side
An isosceles right triangle has legs of equal length if the hypotenuse is 10 cm long find the length of each leg
Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.
In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.
Thus we get the following,
A = x
B = x
C = x + 10
We simply plug in these variables into the equation and solve for x:
x² + x² = (x+10)²
2x² = x² + 20x + 100
x² - 20x - 100 = 0
We solve for x by completing the square:
(x² - 20x + 100) - 100 = 100
(x-10)² -100 = 100
(x-10)² = 200
x - 10 = √(200)
x - 10 = 10 √2
x = 10 + 10√2 = 24
Finally,
A ≈ 24 (or 10 + 10√2)
B ≈ 24 (or 10 + 10√2)
C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)
HELP FAST, I'LL GIVE BRAINLIEST, 50 POINTS!!!
-2.25+0.4x=-2.8
Solve and show your steps in both fraction form, and decimal form
Answer:
Decimal = -1.375, Fraction = -11/8
Step-by-step explanation:
Decimal:
-2.25 + 0.4x = -2.8
0.4x = -0.55
x = -1.375
Fraction:
-9/4 + 2/5x = -14/5
-45/20 + 8/20x = -56/20
8/20x = -11/20
x = -11/8
Hopefully this helps!
Brainliest please?
10% is what number is 28
Answer:
28 is 10% of 280
Steps to solve "28 is 10 percent of what number?"
We have, 10% × x = 28
or,
10
100
× x = 28
Multiplying both sides by 100 and dividing both sides by 10,
we have x = 28 ×
100
10
x = 280
If you are using a calculator, simply enter 28×100÷10, which will give you the answer.
You are given the first four terms of an arithmetic sequence. Under what
conditions might a recursive formula be preferred over the explicit formula?
Under what conditions might an explicit formula be preferred over the
recursive formula?
Please help me solve this asap.
(step by step explanation)
If you roll a die twice , what is the probability that sum of the two die 8 will appear
Answer:
5/36
Step-by-step explanation:
Answer:
the probability of getting a total greater than 8 is 10/36=5/18
Step-by-step explanation:
Of the 36 different possible results of rolling a die twice, 10 of them have a total greater than 8.
Therefore, the probability of getting a total greater than 8 is 10/36 which equals 5/18
After three exams, Jenny has a mean score of 74. With only one exam remaining in the class, what is the
minimum score she will need on that exam to have an overall mean of 80?
The minimum score Jenny need on that exam to have an overall mean of 80 is 98.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
Given that, after three exams, Jenny has a mean score of 74.
Let the minimum score of the one exam remaining be x
Now, (3×74+x)/4 =80
⇒ 222+x=320
⇒ x=320-222
⇒ x=98
Therefore, the minimum score Jenny need on that exam to have an overall mean of 80 is 98.
To learn more about an arithmetic mean visit:
https://brainly.com/question/15196910.
#SPJ2
Round 0.13171 to the thousandths place (three decimal places).
Six less than the product of 8 and a number equals 2
Answer:
unknown number = 1
Step-by-step explanation:
Let the unknown number be x.
(8×x)-6=2
8x-6=2
8x=2+6
=8
x=8÷8
=1
Hence, unknown number = 1.
Determine the intercepts of the line.
Do not round your answers.
y +5 = 2(x + 1)
y-intercept:
r-intercept:
Answer:
x intercept: (3/2, 0), y intercept: (0, -3)
Step-by-step explanation:
suppose you have $20 in your bank account. you start saving $5 each week. your friend has $5 in his account and is saving $10 each week. assume neither of you make any withdrawals.
Answer:
Question is missing
Step-by-step explanation:
Question missing
Find the solution set of the inequality
14−3x<−1.
If right will mark Brainlyest!
Answer:
x > 5
Step-by-step explanation:
14 -14 - 3 x < -1 -14
-3 x < -15
-3 x / -3 < -15 / -3
x > 5
Graph the line with slope 7 and y-intercept -7
Given :-
To graph the line with slope 7 and y intercept -7.To Find :-
The graph of the line .Solution :-
Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,
[tex]\longrightarrow[/tex] y = mx + c
On putting the respective values ,
[tex]\longrightarrow[/tex] y = 7(x) + (-7)
[tex]\longrightarrow[/tex] y = 7x - 7
For the graph see attachment .
54,392 rounded to the hundreds place
Answer:
54,400
Step-by-step explanation:
If a rope four yards long is cut into three equal pieces, each piece will be A. 4feet B. 3 1/2 feet C. 3 1/3 D. 3 feet E. 2 1/4 feet
Answer:
A 4 Feet
Explanation 4yards=12feet 12 divided by 3=4
2x.67 find the product draw a picture
Answer:
1.34
Step-by-step explanation:
2x67/100
= 134/100
= 1.34
Someone help me on PART B:
Step-by-step explanation:
given expression,
4(3x - 1) - 2(6 + 2x)
given,
x = 12.5
so q/q
→ 4[3(12.5) - 1] - 2[6 + 2(12.5)]
→ 4(37.5 - 1) - 2(6 + 25)
→ 4 × 36.5 - 2 × 31
→ 146 - 62
→ 84
therefore, 84 articles store received last Thursday.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.
Answer:
84
Step-by-step explanation:
Please not bots due in hour!
Answer:
Range is 7 to 42
Step-by-step explanation:
What is the product?
(Y^2+3Y+7)(8y^2+y+1
Answer:
8y⁴+25y³+60y²+10y+7
Step-by-step explanation:
8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7
8y⁴+25y³+60y²+10y+7
Answer:
8y^4+25y^3+60y^2+10y+7
Step-by-step explanation:
(y^2+3y+7)(8y^2+y+1)
We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)
8y^4+y^3+y^2
now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))
24y^3+3y^2+3y
now we do the same to the last term, 7.
56y^2+7y+7
now we need to add all three of our products together
(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)
adding like terms:
8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7
we get:
8y^4+25y^3+60y^2+10y+7
-6x - 3= 27
Help pless
Answer:
x=-5
Step-by-step explanation:
-6x-3=27
add 3 to both sides
-6x=30
divide both by -6
x=-5
I hope this helped :)
Answer:
[tex] \sf \: x = - 5[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ -6x - 3 = 27
Then the value of x will be,
→ -6x - 3 = 27
→ -6x = 27 + 3
→ -6x = 30
→ x = 30 ÷ (-6)
→ [ x = -5 ]
Hence, the value of x is -5.
Which line has a constant of proportionality between y and x of 4/3
Answer:
Line A: constant of proportionality is 4/3
Step-by-step explanation:
The equation in question is y = (4/3)x, where (4/3) is the constant of proportionality as well s the slope of the line. The only line here that has a slope greater than 1 is the blue line (A).
Find The slope of the line represented by the points in the table (use your notes to get the formula it needed).
4.
Number
of Hours
1
2.
3
4
Cost
($)
$17
$29
$41
$53
The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers? please help me
Answer:
2020
Step-by-step explanation:
if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023
it is the number in the middle.
for the first 3 numbers, it is 2019, 2020, 2021
the middle number is 2020
Y = ___x + ____
Find the equation of the line.
The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram
A student writes a proof to show that the corresponding angles, A and B, are congruent. The student's proof is shown below
A. Both reason 2 and Reason 3 are correct as shown in the table
B. Reason 2 is correct, but Reason 3 should "Alternate interior angles are congruent"
C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct
D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent"
(look at picture to understand better)
9514 1404 393
Answer:
B
Step-by-step explanation:
Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.
The applicable description is found in choice B.
