Answers
Answer:
0
Step-by-step explanation:
When there is one x-intercept, the discriminant is zero.
__
The discriminant is used to compute the difference between the roots. When it is positive, the real roots are different, so there are two x-intercepts.
When the discriminant is zero, there is no difference between the roots, so there is one x-intercept (as here).
When the discriminant is negative, there are no x-intercepts and the two roots are complex.
Related Questions
what is the measure of angle a in degrees?
180
130
65
260
Answers
Angle a = 1/2 of the given central angle.
Angle a = 130/2= 65
The answer is 65
Given: m∠3=x, m∠8=5x Find: m∠3, m∠8
Answers
Answer: m∠3 = 30° and m∠8= 150° .
Step-by-step explanation:
From the given figure it can be seen that a and b are two parallel lines, where t is transversal intersecting them.
Also, m∠3=x, m∠8=5x
To find : m∠3, m∠8
Since ∠3=∠5 [Interior alternate angles]
So, m∠5 =m∠3= x
Also, ∠5+∠8=180° [Linear pair]
⇒ x + 5x = 180° [Substituted the value of ∠5 and ∠8 in terms of x ]
⇒ 6x = 180°
⇒ x = 30° [Divide both sides by 6]
That means,
m∠3 = 30°
and m∠8= 5(30° ) = 150°
Hence, m∠3 = 30° and m∠8= 150° .
Give the explicit form
Answers
Answer:
[tex]a_{n}[/tex] = 100n - 112
Step-by-step explanation:
Given the recursive formula
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 100 with a₁ = - 12
This tells us that any term is found by adding 100 to the previous term
That is common difference d = 100 and a₁ = - 12
The explicit formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d , thus
[tex]a_{n}[/tex] = - 12 + 100(n - 1) = - 12 + 100n - 100 = 100n - 112
Answer:
100 = 100n - 112
Step-by-step explanation:
WILL MARK BRAINLIEST WHOEVER GETS IT RIGHT!
How do I solve number 12?
Answers
HOPE IT HELPS!!!!!!
PLEASE MARK BRAINLIEST!!!!!!!
WILL GIVE BRAINLIEST
Given the expression: 4x10 − 64x2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
Answer:
2(20-64)
Step-by-step explanation:
4*10-64*2
40-128
2(20-64)
once again help please
Answers
Answer:
B.
Step-by-step explanation:
Using Pythagoras theorem
c² = a²+b²
Where c = hypotenuse, a = base and b = perpendicular
So putting the givens
c² = (2√5)² + (6)²
c² = 20+36
c² = 56
Taking square root on both sides, we get
c = √2×2×14
c = 2√14
A runner can run 3 miles in 30 minutes. how long will it take to run 2.5
Answers
Answer:
25 minutes.
Step-by-step explanation:
We can set up an equation: 3/30=2.5/n. This situation is directly proportional, since the number of minutes increases as the runner runs more miles.
We can cross multiply: 3n=30*2.5
3n=75
n=25
Please help and give correct answer
If AB=3 cm, AC=5 cm, CD=3 cm, and CE=5 cm, what additional information is needed to prove △ABC≅△DEF?
BC=3 cm and AB=3 cm
BC=4 cm and DE=4 cm
BC=5 cm and CE=5 cm
DE=3 cm and CD=3 cm
Answers
Answer:
The correct option is;
BC = 4 cm and DE = 4 cm
Step-by-step explanation:
The given sides parameters are;
In ΔABC
AB = 3 cm
AC = 5 cm
In ΔDEF
CD = 3 cm
CE = 5 cm
We note that the point F on ΔDEF is the same as point C on ΔABC
For the two triangles to be congruent, the third side must be equal hence e have;
Where ∠B = ∠D = 90°
Hence, AC² = AB² + BC²
∴ BC = √(5² - 3²) = 4
Similarly,
CE² = CD² + DE²
∴ DE = √(5² - 3²) = 4
Hence the additional information needed to prove that ΔABC ≅ ΔDEF is BC = 4 cm and DE = 4 cm.
Write a quadratic function whose zeros ƒ are -4 and -5 .
Answers
Answer:
Step-by-step explanation:
Zeros mean basically the values of x which make y = 0.
(x + 4)(x - 1) = y
x^2 + 3x - 4 would be a quadratic function whose zeros are -4 and 1
A package of 12 pencils costs
$2.04. Based on the cost of this
package, what is the cost of 1 pencil?
Answers
Answer:
$0.17
Step-by-step explanation:
2.04/12=0.17
Please mark as Brainliest! :)
Have a nice day.
Answer: 0.17 for 1 pencil
Step-by-step explanation:
Attached the work.
Which of the following are solutions to the equation below?
Check all that apply.
x^2-2x-24=0 A. 6
B. 4
C.-6
D.-24
E. -4
Answers
Answer:
A. 6
E. -4
Step-by-step explanation:
x² - 2x - 24 = 0
x - 6
x 4
(x - 6)(x + 4) = 0
Set each parenthesis equal to 0:
(x - 6) = 0
Isolate the variable, x. Add 6 to both sides;
x - 6 (+6) = 0 (+6)
x = 0 + 6
x = 6
(x + 4) = 0
Isolate the variable, x. Subtract 4 from both sides:
x + 4 (-4) = 0 (-4)
x = 0 - 4
x = -4
x = -4, 6 are your solutions, or A. & E.
~
Answer:
[tex] \boxed{A. \: 6 \: \: \: and \: \: \: E. \: -4} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} - 2x - 24 = 0 \\ \\ = > {x}^{2} - (6 - 4)x - 24 = 0 \\ \\ = > {x}^{2} - 6x + 4x - 24 = 0 \\ \\ = > x(x - 6) + 4(x - 6) = 0 \\ \\ = > (x - 6)(x + 4) = 0 \\ \\ = > x - 6 = 0 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: x + 4 = 0 \\ \\ = > x = 6 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: x = - 4[/tex]
Arianna kicks a soccer ball off the ground and into the air with an initial velocity of 42 feet per second. Assume the starting height of the ball is 0 feet. Approximately what maximum height does the soccer ball reach? (1 point)
A. 1.3 ft
B. 2.6 ft
C.26.0 ft
D. 27.6 ft
Answers
Hope it helps
Answer:
It is d
Step-by-step explanation:
I did the test
Which of the following is true
Answers
Answer:
I think its I,II,III
because first r+q = 90 as we'll as z= 90
second s and z are vertically opposite angles and so are equal
third x+s+r= 180 degrees because they are on a straight line
Which number is irrational?
Answers
Answer:
d
Step-by-step explanation:
An Irrational Number is a real number that cannot be written as a simple fraction.
one of the examples is [tex]\pi[/tex]
pls help me I will give u 100 points and mark you as brainiest pls help. 1,2,3,4,5
Answers
Answer:
See explaination
Step-by-step explanation:
All these questions can be solved remembering that the area of a triangle is the base*height/2
1) 9.8*3.6/2 = 17.64
2) 14*35/2 = 245
3) 8.4*6.9/2 = 28.98
4) For this one, it is important to realize that if a triangle contains 2 perpendicular lines, it is a right triangle, and therefore, those two lines must be the base and the height. So the answer is just 1.8*2.5/2 = 2.25
5)3.2*9.6/2 = 15.36
Answer:
first is 17.64cm second is 245m third is 28.98cm fourth is 15.36
Ellen saved $2000 and she spent 10% of it to buy a bike. Kim saved 8% more than that of Ellen's left savings. If Lisa saved 60% as much as Kim, how much money did Lisa save?
Answers
Answer: Lis saved $1166.4 .
Step-by-step explanation:
Given , Ellen saved $2000 and she spent 10% of it to buy a bike.
Then, Ellen's left saving = saved amount - 10% of (saved amount)
= $2000 - 0.10 x $2000 [We convert perecntage to decimal by diving it by 100]
= $2000 - $200
= $1800
So, Ellen's left saving= $1800
Also, Kim saved 8% more than that of Ellen's left savings.
Kim's Saving = Ellen's left saving + 8% of (Ellen's left saving)
= $1800 + (0.08) x ($1800) [We convert perecntage to decimal by diving it by 100]
= $1800 + $144
i.e. Kim's Saving= $1944
If Lisa saved 60% as much as Kim, then Lisa's saving = 60% of (Kim's Saving)
= (0.60) x ($1944) [We convert perecntage to decimal by diving it by 100]
i.e. Lisa's saving = $1166.4
Answer:
1166.40
Step-by-step explanation:
i got it right on my test.
i need help this is due in 20 minutes!!!!!! PLZ!!!!!
Answers
Answer:if the answer your looking for is the area, then it’s 16.15
Step-by-step explanation:
given the vertices determine the best classification for this quadrilateral answers:
1) d (-2,1), E (-1,3), F(3,1), G(2,-1)
Answers
Answer: A rectangle
Step-by-step explanation:
find the value of x
thank you in advance for your help!
Answers
Answer:
52
Step-by-step explanation:
Answer:
x= 12
Step-by-step explanation:
Please see attached picture for full solution.
Feel free to ask if you have any queries :)
Please help ASAP, dhdbhehd
Answers
Answer:
42°
Step-by-step explanation:
all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42
The population of two different villages is modeled by the equations shown
Suppose y represents the population and x represents the number of years
since 1980. What year(s) were the populations of both villages the same?
What was the population of both villages in the year(s) they were the same
Montville: y = x2 – 30x + 540
Havertown: y = 20x + 15
Answers
Answer:
Year = 1995 and population = 315
Year = 2015 and population = 715
Step-by-step explanation:
It is given that the population of two different villages is modeled by the given equations:
[tex]y=x^2-30x+540[/tex]
[tex]y=20x+15[/tex]
The population of both villages are same after x years after 1980 if
[tex]x^2-30x+540=20x+15[/tex]
[tex]x^2-30x+540-20x-15=0[/tex]
[tex]x^2-50x+525=0[/tex]
Splitting the middle term, we get
[tex]x^2-15x-35x+525=0[/tex]
[tex]x(x-15)-35(x-15)=0[/tex]
[tex](x-15)(x-35)=0[/tex]
[tex]x=15,35[/tex]
It means, after 15 or 35 years, the population will same.
For x=15, years is [tex]1980+15=1995[/tex] and population is
[tex]y=20(15)+15=315[/tex]
For x=35, years is [tex]1980+35=2015[/tex] and population is
[tex]y=20(35)+15=715[/tex].
Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.
Year = 1995 and population = 315
Year = 2015 and population = 715
Calculation:The equation is
[tex]y = x^2 - 30x + 540\\\\y = 20x + 15[/tex]
Now
[tex]x^2 - 30x + 540 = 20x + 15\\x^2 - 30x + 540 - 20x - 15=0\\\\x^2 - 50x + 525 = 0\\\\x^2 - 35x - 15x + 525=0\\\\x(x - 15) -35(x-15) = 0\\\\(x-15) (x-35) = 0[/tex]
x = 15,35
so,
When x is 15 , the population is = 20(15 ) +15 = 300 + 15 = 315
And, x is 35 , the population is = 20(35 ) +15 = 700 + 15 = 715
Learn more about the population here: https://brainly.com/question/905400?referrer=searchResults
i will mark brainliest to the first answer!!
Which of the following denotes the distance that -2 is from zero?
(-2)
[-2]
{-2}
|-2|
Answers
Answer:
I think the correct answer is
A. (-2)
Step-by-step explanation:
This answer seems the most reasonable compared to the others
Hope this helps!
Answer: (-2)
Step-by-step explanation: The international standard symbol for inch is in (see ISO 31-1, Annex A) but traditionally the distance is denoted by a double prime, which is often approximated by double quotes, and the foot by a prime, which is often approximated by an apostrophe. For example, three feet two inches can be written as 3′ 2″. Symbol: in or ″ (the double prime)
HOPE IT HELPS!
Suppose a sector of a circle with radius r has a central angle of θ. Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of the BLANK to the measure of a full rotation of the circle. A full rotation of a circle is 2π radians. This proportion can be written as Aπr2=BLANK. Multiply both sides by πr2 and simplify to get BLANK, where θ is the measure of the central angle of the sector and r is the radius of the circle.
Answers
Answer:
Central angle of θ
[tex]\dfrac{A}{\pi r^2} =\dfrac{\theta}{2\pi}[/tex]
[tex]A=\dfrac{\theta r^2}{2}, (\theta$ in radians)[/tex]
Step-by-step explanation:
Suppose a sector of a circle with radius r has a central angle of θ.
Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of the central angle of θ to the measure of a full rotation of the circle.
A full rotation of a circle is 2π radians.
This proportion can be written as: [tex]\dfrac{A}{\pi r^2} =\dfrac{\theta}{2\pi}[/tex]
Multiply both sides by [tex]\pi r^2[/tex]
[tex]\dfrac{A}{\pi r^2} *\pi r^2=\dfrac{\theta}{2\pi}*\pi r^2[/tex]
Simplify to get:
[tex]A=\dfrac{\theta r^2}{2}[/tex]
Where θ is the measure of the central angle of the sector and r is the radius of the circle.
Answer:
Suppose a sector of a circle with radius r has a central angle of θ. Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of the CENTRAL ANGLE to the measure of a full rotation of the circle. A full rotation of a circle is 2π radians. This proportion can be written as A/πr^2 =θ2π. Multiply both sides by πr2 and simplify to get A= θ/2 r^2 , where θ is the measure of the central angle of the sector and r is the radius of the circle.
Step-by-step explanation:
i hope this helps a bit
Find the surface area of the cylinder. Round your answer to the nearest tenth. radius is 6 ft height is 7 ft
Answers
Answer:
490.1
Step-by-step explanation:
A=2πrh+2πr2=2·π·6·7+2·π·62≈490.08845
Find the volume of the pyramid. Write your answer as a fraction or mixed number.
Answers
Answer:
1.33 or 133/100
Step-by-step explanation:
formula=area of base x height x 1/3
A=2 x 2 x 1/3 or
A=2 x 2 / 3
A=4 / 3
A=1.33 or 133/100
Answer:
The answer is 4/3 ft^3
Step-by-step explanation:
The formula to find a pyramid is length times width times height divided by 3
What do I have to do?
Answers
Answer:
You sold 3 of your $19 paintings
Step-by-step explanation:
19x + 29 = 86
19x + 29 - 29 = 86 - 29
19x = 57
19x / 19 = 57 / 19
x = 3
Will give brainliest if correct.
Answers
Answer:
The answer would be, 81cm.
Step-by-step explanation:
36÷4=9
9×9=81
Perimeter of square=36cm
Therefore side of square=36/4
= 9 cm
Then area of square =s*s
=9cm*9cm
=81cm^2
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PLEASE MARK BRAINLIEST!!!!
factorise 9y^2-66yz+121z^2 plss answer with steps plss
Answers
Answer:
(3y - 11z)2
Step-by-step explanation:
hahaha hello again
Step-by-step explanation:
(3y - 11z)(3y - 11z)
9y^2: 3y 3y
121z^2: 11z 11z
(3y - 11z)(3y - 11z)
9y^2 - 33yz - 33yz + 121z^2
9y^2 - 66yz + 121z^2
The scatter plot shows the number of pigs and cows on various farms.
Which farmers had more cows than pigs?
Connie, Josie, Patrick, Mimi, Emma
Connie, Josie, Jackson, Jose'
Mimi, Yosef, Jacob, Emiel, Jaylan, Harold
Emiel, Jackson, Jacob, Harold, Yosef
Answers
Answer:
Connie, Josie, Patrick, Mimi, Emma
I took the test, I hope this helps! Its okay, but I tried the answer above, and it wasn't correct
Connie, Josie, Patrick, Mimi, and Emma are the farmers that had more cows than other farmers.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We know that the number of cows is shown on the graph on the y-axis.
The number of pigs is shown on the x-axis of the graph.
we can conclude from the graph that Connie, Josie, Patrick, Mimi, and Emma had more cows than the other farmers.
If we add all of them that would become greater than others.
Learn more about addition;
https://brainly.com/question/13125558
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Which of the following are in correct order from greatest to least? pi/2, 330°,5pi/3 ,7pi/6 ,2pi/3 5pi/3,7pi/6 ,2pi/3 , pi/2 , 330° pi/2, 2pi/3 , 7pi/6, 5pi/3, 330° 330°, 5pi/3, 7pi/6,2pi/3 , pi/2 (answer is D)
Answers
Answer:
D) 330°, 5π/3 , 7π/6 , 2π/3 , π/2
Step-by-step explanation:
Lets clear the question first. We have been given 4 options:
A) π/2 , 330°, 5π/3, 7π/6, 2π/3
B) 5π/3, 7π/6 , 2π/3 , π/2 , 330°
C) π/2, 2π/3 , 7π/6, 5π/3, 330°
D) 330°, 5π/3 , 7π/6 , 2π/3 , π/2
Lets convert all the values into degrees
330° = 330°
π/2 = 180/2 = 90°
5π/3 = 300°
7π/6 = 210°
2π/3 = 120°
Arrange them from greatest to lowest.
330° , 300° , 210° , 120° , 90°
or
330° , 5π/3 , 7π/6 , 2π/3 , π/2
which is option D