Hi. I need help with these questions.
See image for question.
Answer 14 and 13
Answers
Answer:
13) 36x² + 9x - 4 = 014) 21x² + 20x + 100 = 0Step-by-step explanation:
13.
GivenQuadratic equation
4x² - 3x - 4 = 0With the roots of α and βTo Find The quadratic equation with roots of 1/(3α) and 1/(3β)SolutionThe sum and the product of the roots of the given equation:
α + β = -b/a ⇒ α + β = -(-3)/4 = 3/4αβ = c/a ⇒ αβ = -4/4 = - 1New equation is:
(x - 1/(3α))(x - 1/(3β)) = 0x² - (1/(3α) + 1/(3αβ))x + 1/(3α3β) = 0x² - ((3α + 3 β)/(3α3β))x + 1/(3α3β) = 0x² - ((α + β)/(3αβ))x + 1/(9αβ) = 0x² - (3/4)/(3(-1))x + 1/(9(-1)) = 0x² + 1/4x - 1/9 = 036x² + 9x - 4 = 0===================
14.
GivenQuadratic equation
3x² +2x + 7 = 0With the roots of α and βTo Find The quadratic equation with roots of α + 1/β and β + 1/αSolutionThe sum and the product of the roots of the given equation:
α + β = -b/a ⇒ α + β = -2/3αβ = c/a ⇒ αβ = 7/3New equation is:
(x - (α + 1/β))(x - (β + 1/α)) = 0x² - (α + 1/β + β + 1/α)x + (α + 1/β) (β + 1/α) = 0x² - (α + β + (α + β)/αβ )x + αβ + 1/αβ + 2 = 0x² - (-2/3 - (2/3)/(7/3))x + 7/3 + 1/(7/3) + 2 = 0x² - (-2/3 - 2/7)x + 7/3 + 3/7 + 2 = 0x² + (14 + 6)/21x + (49 + 9 + 42/21) = 0x² + 20/21x + 100/21 = 021x² + 20x + 100 = 0Related Questions
Help me please!! Plz and thank uuu it’s 10 points for uu Pid Pid Pid !
Answers
If UW = 4x – 1 and YZ = 5x + 4, what is UW?
(I need a answer and steps to stove)
Answers
Step-by-step explanation:
The answer is 2
You will add 2 to 4 then divide 6 by 3
Help me on the bottom three please
Answers
Answer:
[tex]x=5,8,-8[/tex] respectively
Step-by-step explanation:
For Q.5, the two angles are supplementary, meaning they sum up to 180 so[tex](12x+19)+(22x-9)=180\\ 12x+22x+19-9=180\\ 34x+10-(10)=180-(10)\\ 34x=170\\ x=5[/tex] For Q.6, the two angles are alternate exterior angles, meaning they are equal so[tex]10x-20=7x+4\\10x-(7x)-20+(20)=7x-(7x)+4+(20)\\3x=24\\x=8[/tex] For Q.7, two angles are consecutive interior angles, meaning they sum up to 180 so[tex](-4x+5)+(-13x+39)=180\\-4x-13x+5+39=180\\-17x+44-(44)=180-(44)\\-17x=136\\x=-8[/tex]What is the value of x in the equation below?
6(x-3) = 72
12
15
20
24
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Answer:B
Step-by-step explanation:
Solve for b in the mathematical formula A =
1
2
bh.
Answers
Answer:
[tex] \rm b = \dfrac{2A }{h} [/tex]
Step-by-step explanation:
[tex] \rm Solve \: for \: b: \\ \rm \longrightarrow A = \dfrac{1}{2} bh \\ \\ \rm A = \dfrac{bh}{2} \: is \: equivalen t \: to \: \dfrac{bh}{2} = A: \\ \rm \longrightarrow \dfrac{bh}{2} = A \\ \\ \rm Divide \: both \: sides \: by \: \dfrac{h}{2} : \\
\rm \longrightarrow \dfrac{bh}{2} \div \dfrac{h}{2} = A \div \dfrac{h}{2} \\ \\ \rm \longrightarrow \dfrac{bh}{2} \times \dfrac{2}{h} = A \times \frac{2}{h} \\ \\ \rm \dfrac{bh}{2} \times \dfrac{2}{h} = b : \\ \rm \longrightarrow b = \dfrac{2A }{h}[/tex]
Answer:
b in terms of A and h will be:
[tex] \boxed{ \rm{b = \frac{2A}{h} }}[/tex]
Step-by-step explanation:
This is basically the formula for finding the area(A) of the triangle in terms of b and h. We have to solve for b in terms of A and h.
[tex] \rm{A = \dfrac{1}{2} bh}[/tex]
Multiplying 2 in the LHS. This is shift because inverse of division is multiplication.
[tex] \rm{2A = bh}[/tex]
Dividing h from both sides,
[tex] \rm{b = \dfrac{2A}{h} }[/tex]
And we are done! :D
Help with #8 please!
Answers
Answer:
8. The length of the longest side is 40 ⇒ H
Step-by-step explanation:
8. In the given figure
∵ The triangle has two equal sides 2x + 12 and 5x - 9
→ Equate their expressions to find the value of x
∴ 5x - 9 = 2x + 12
→ Add 9 to both sides
∵ 5x - 9 + 9 = 2x + 12 + 9
∴ 5x = 2x + 21
→ Subtract 2x from both sides
∵ 5x - 2x = 2x - 2x + 21
∴ 3x = 21
→ Divide both sides by 3 to find x
∵ [tex]\frac{3x}{3}[/tex] = [tex]\frac{21}{3}[/tex]
∴ x = 7
∵ The longest side is 6x - 2
→ Substitute the value of x in its expression to find its length
∴ The longest side = 6(7) - 2 = 42 - 2
∴ The longest side = 40
∴ The length of the longest side is 40
Find the area of the rectangle.
Answers
Answer:
5m squared
Step-by-step explanation:
(m)(5m) = 5m^2
Write the linear equation, in standard form, of a line that passes through the points (1, 2) and (-3, -4).
Answers
Answer:
y=3/2x+1/2
Step-by-step explanation:
Answer:
-3x + 2y = 1Step-by-step explanation:
Standard form of linear equation:
Ax + By = CUsing the given points, we find the slope and y-intercept, in slope-intercept form of y = mx + b
m = (-4- 2)/(-3 - 1) = -6/-4 = 3/23/2*1 + b = 2b = 2 - 3/2 = 1/2y = 3/2x + 1/2Converting to standard form
y = 3/2x + 1/22y = 3x + 1-3x + 2y = 1ABC = EDC, AB = 7, A = 40° E=
Answers
Answer:
40°Step-by-step explanation:
since ΔABC is ≅ to ΔEDC
where ∠A = 40°
∠E = 40° because ∠A ≅ ∠E
What is the y-value to the solution of y = 5x -4 and y = 2x + 8
Answers
Answer:
At the bottom!
Step-by-step explanation:
Put the two equations into the same standard form:
2x-y=8
-5x+2y=3
Now if you add the two equations up, guess what will happen?
You will "eliminate" the y variable, and only be left with the x variable.
Technically, you will get:
2x-y+2+28-5x+29+2y=8+23
-3x+20y=11
-3x=11
The total practice time for a football team is 4,380 hours. There are 73 players. How many hours does each player practice?
Answers
Each team-mate practices for 60 hours.
You know this because if you divide 4,380 (the total amount of hours) by 73 (the total amount of players) you get 60.
What's 2+2 WILL GIVE BRAINLIEST
Answers
Answer:
4
Step-by-step explanation:
The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the lengths of the sides?
The lengths of the sides of the triangle in cm are____?
Answers
Answer:
A(8)=32cm
B(9)=36cm
C(10)=40cm
Step-by-step explanation:
let 8:9:10=A:B:C
∑ratios=8+9+10=27
Therefore lengths or triangles:-
HELP WILL MAKE BRAINLIST
Answers
Answer:
3rd choice
Step-by-step explanation:
subtracted both sides by 2
•PLZ answer quickly!!•
-Will give brainliest
Find the inequality represented by the graph
Answers
Answer:
1/2x<=y
Step-by-step explanation:
you find the equation first
Shala bought a pen on sale. She saved 17 percent of the original price of 29 dollars. About how much money did she save? A. 1 dollar B. 5 dollars C. 10 dollars or D. 20 dollars.
Answers
Answer:
B. 5 dollars
Step-by-step explanation:
17% = .17
"of" means to multiply.
29 × .17= 4.93
4.93 rounds up to 5
The reciprocal of y^1/2 is 5
Work out the value of y.
Answers
Answer:
y = 1/25
Step-by-step explanation:
Reciprocal of y^(1/2) : 1/y^(1/2)
1/y^(1/2) = 5
y^(1/2) = 1/5
y = (1/5)^2
I'm so confused on all of this
Answers
Answer:
Your answer is B 5/7
Step-by-step explanation:
Answer:
5/7Step-by-step explanation:
It is 5/7 because, the line is intercepting at the points, (5,7)
therefore, the points are now made into a fraction, which is:
5 over 7 or 5/7Hope this helps! <3
f(x) = 3x^2-х
Find f (10)
Answers
F(10)= 3(100) - x
F(10) = 300- x
Mora borrowed $4,830 from her mom. She agreed to pay a small amount each day until her debt is paid off. If she agreeed to pay $42 each day, how long will it take Mora to pay her mom back in full?
Answers
Answer:
115 days, untill she has payed her mom the full amount. plz pick me as the brainleist! XD
Step-by-step explanation:
Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'?
A)They are equidistant from origin.
B)They are midpoints of ON and O'N'.
C)They are equidistant from point O.
D)They are midpoints of LN and L'N'.
Answers
Answer:
they are equidistant from the origin
Step-by-step explanation:
when the 2 points are swung around the origin they must stay the same distance away from the origin meaning that option a is correct
Answer:
A)They are equidistant from origin.
Step-by-step explanation:
-6/11 x (-1/6) i can’t find the answer
Answers
Answer:
1/11
Step-by-step explanation:
- × - gives a +
cancel the 6
Hope you can understand what i mean
Graham crackers 222
Chocolate squares 888
Marshmallows 333
How many s'mores can Kora make if she has 202020 graham crackers?
Answers
Answer: 10?
Step-by-step explanation: Just divide 20/2 and you get the answer. Ight Ima head out
Answer:
2020 is innit so it cant be good lol
Step-by-step explanation:
The table represents the recommended exercise intensity for an aerobic program based on the number of visits since beginning the program.
A 2-column table with 6 rows titled Intensity of Exercises. The first column is labeled Number of Visits with entries 1, 2, 3, 4, 5, 6. The second column is labeled Exercise Intensity with entries 60%, 60%, 60%, ?, ?, ?.
The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options.
63%, 63%, 63%
66%, 69%, 72%
66%, 62%, 58%
63%, 65%, 67%
67%, 72%, 77%
Answers
Answer:
66%, 69%, 72%
63%, 65%, 67%
67%, 72%, 77%
Step-by-step explanation:
it says that people recommend the same intensity for three then increasing for three then decreasing thus repeating this cycle
so anyways for the fourth fifthe and sixth visit itll be an increasing sensitivity
Anyways for the fourth fifth and sixth visit, it'll be an increased sensitivity.
We have given that,
The table represents the recommended exercise intensity for an aerobic program based on the number of visits since beginning the program.
A 2-column table with 6 rows titled Intensity of Exercises. The first column is labeled Number of Visits with entries 1, 2, 3, 4, 5, and 6.
66%, 69%, 72%
63%, 65%, 67%
67%, 72%, 77%
What is the intensity?The intensity or flux of radiant energy is the power transferred per unit area, where the area is measured on the plane perpendicular to the energy's propagation direction.
it says that people recommend the same intensity for three then increasing for three then decreasing thus repeating this cycle
so anyways for the fourth fifth and sixth visit, it'll be an increased sensitivity.
To learn more about the intensity visit:
https://brainly.com/question/3138063
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Which is one characteristic of hurricanes?
occur mostly inland
create widespread damage
last for a short amount of time
gain strength after passing over land
Answers
9514 1404 393
Answer:
create widespread damage
Step-by-step explanation:
Hurricanes are tropical storms that generally develop over the Atlantic ocean. The ones of concern in the US are the ones that follow a westward path. They generally gain strength over water, and dissipate over land. They can last several days, though their movement generally means the worst impact in a given area lasts only a matter of hours. (Clean-up may take months or years.)
Hurricanes are one of the largest of storm systems, so can cause widespread damage.
Answer:
b
Step-by-step explanation:
Does anybody like/play Slime Rancher
Answers
Answer:
yes but y do u ask?
Step-by-step explanation:
Which is greater? 670.9 or 670.008
Answers
Answer:
670.9
Step-by-step explanation:
because 670.9 is bigger and 670.008 has more 0's and 0's aren't greater
A trout lurking 32 cm below the surface of a lake spies an insect flying 17cm above the lake. How many centimeters would the trout have to jump in order to catch the insect?
Answers
Answer:
The Trout will have to jump 49 cm in order to catch the insect
Step-by-step explanation:
Here, we want to calculate the distance the Trout has to jump in order to catch the Insect
To calculate this, we need to know the difference in the distances
From what we have, the Trout is 32 cm below the surface while the Insect is 17 cm above the surface of the lake
The difference in height which will represent the distance that the Trout has to jump to catch the insect will be ;
17 + 32 = 49 cm
A car can travel 252 miles on 9 gallons of gasoline. How many gallons of gas
will it need to go 140 miles?
1
Answers
Answer:
5
Step-by-step explanation:
252/140=9/X
252x=1260
x=5
A force of 52 N acts upon a 4 kg block sitting on the ground. Calculate the acceleration of the object.
Answers
The acceleration of the block is 13 m/sec².
What is Acceleration?Acceleration is defined as the rate of change of velocity with respect to time, It is a vector quantity with units of m/sec².
Force = 52 N
Mass of the block = 4kg
Acceleration =?
The formula for the force applied to any object is given by
F = mass * Acceleration
Substituting the values
52 = 4 * Acceleration
Acceleration = 52 / 4 = 13 m/sec².
Therefore, The acceleration of the block is 13 m/sec².
To know more about Acceleration
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