So, we need to solve the quadratic equation from quadratic formula as per the question, but before starting, let's first recall that, for any quadratic equation of the form ax² + bc + c = 0, the discriminant is given by D = b² - 4ac, and the value of x is given by :
[tex]{\boxed{\bf{x=\dfrac{-b\pm \sqrt{D}}{2a}}}}[/tex]Also, their are no real solutions of x i.e their are only imaginary values of x iff D < 0, equal and real roots iff D = 0 and real and distinct roots iff D > 0. So, let's convert the given equation to the standard form ax² + bx + c = 0 and then we will find the discriminant and then we will be solving for k ;
[tex]{:\implies \quad \sf 2k(k+5)=-25}[/tex]
[tex]{:\implies \quad \sf 2k^{2}+10k=-25}[/tex]
[tex]{:\implies \quad \sf 2k^{2}+10k+25=0}[/tex]
Now, on comparing this with the standard equation, we will get a = 2, b = 10 and c = 25, and then D = (10)² - 4 × 2 × 25 = 100 - 200 = - 100, now as D < 0, so their will be imaginary values of k, so now solving for k will yield by using the Quadratic Formula ;
[tex]{:\implies \quad \sf k=\dfrac{-10\pm \sqrt{-100}}{2\times 2}}[/tex]
[tex]{:\implies \quad \sf k=\dfrac{-10\pm 10\iota}{2\times 2}}[/tex]
[tex]{:\implies \quad \sf k=\dfrac{2(-5\pm 5\iota)}{2\times 2}=\dfrac{-5\pm 5\iota}{2}}[/tex]
[tex]{:\implies \quad \boxed{\bf{k=\dfrac{-5+5\iota}{2}\:\:,\:\: \dfrac{-5-5\iota}{2}}}}[/tex]
This is the required answer
Each side of a square window is 39 inches long. What is the window's perimeter?
Answer:
156
Step-by-step explanation:
39x4 = 156
Simple multiplication :)
Hope this helps, and please mark me brainliest!
Answer:
156
Step-by-step explanation:
p=4 a
p=4 x 39p=156Find the area of the figure A) 14 cm B) 50 cm C) 60 cm D) 64 cm
Answer:
The answer would be 64 cm.
Step-by-step explanation:
Step 1: Identify which shapes you will do to find the area
(I did 2 and 12 and 8 and 5)
Step 2: Do 12x2 (24)
Step 3: Do 8x5 (40)
Step 4: Add 40+24 (64)
Step 5: Label
I hope this helps!
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
(2ax -6by + 4cz )+ (4by-14ax)+(9cz-4ax-6by) add the following expression pls i will mark you a brainest
Answer:
=2ax -6by +4cz + 4by -14ax +9cz -4ax -6by
=2ax -14ax -4ax -6by +4by -6by +4cz +9cz
= -16ax -8by +13cz
an effort to make room for new inventory, a college bookstore runs a sale on least popular mathematics books. The sales rate (books sold per day) on day of the sale is predicted to be 60 / t (for t >= 1), where t = 1 corresponds to the beginning of the sale, at which time none of the inventory of 595 books had been sold.
A) Find a formula for the number of books sold up to day t. S(t)=
B) Will the store have sold its inventory of 595 books by day t = 30? “Yes” or “No”
Answer:
The sun, eight plants and some other celestial
Answer:1
Step-by-step explanation:
The sun, eight plants and some other celestial
Emily threw a ball up in the air from her tree house. It followed the path given by the parabola y equals short dash 2 x squared plus 14 x plus 60, where x is the distance from the tree house (in feet), and y is the height of the ball (in feet). At what distance from the tree house did the ball strike the ground?
The distance from the tree house that the ball strike the ground is 10feet
Equation of a parabolaGiven the path of the ball expressed by the parabola equation:
y = -2x^2+14x +60
The point where the ball strikes the ground is the point where y = 0. Substitute into the equation to have:
-2x^2+14x +60 = 0
x^2 - 7x - 30 = 0
Factorize the result
x^2 - 10x + 3x - 30 = 0
x(x-10)+3(x-10) = 0
x - 10 =0
x = 10
Hence the distance from the tree house that the ball strike the ground is 10feet
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BRAINLIEST FOR HELP!! *i might possibly have answer i want to see if i did it right*a 20 ft flagpole is casting a 8.9 foot shadow, what is the suns angle?
Step-by-step explanation:
the angle of elevation of the sun is θ is related to the given sides of the right triangle (assuming the ground is horizontal and the flag pole is vertical) by tangent.
the shadow is adjacent to the angle while the flagpole is opposite to it.
so to find the angle of elevation:
arctan(20/8.9)
= 66.01 degrees
comment if you have any doubt or need further help.
Angle be alpha
[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{P}{B}[/tex]
[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{20}{8.9}[/tex]
[tex]\\ \rm\Rrightarrow tan\alpha=2.25[/tex]
[tex]\\ \rm\Rrightarrow \alpha=tan^{-1}(2.25}[/tex]
[tex]\\ \rm\Rrightarrow \alpha=66.04°[/tex]
Solve the equation below for y
3 ( y + 3 ) = 14
Answer:
y = 3/5
Step-by-step explanation:
3(y+3) = 14
3*y+3*3 = 14
3y+9 = 14
3y = 14-9
3y = 5
y = 3/5
help pls! The pair of figures to the right are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas.
Step-by-step explanation:
the scaling ratio is 12/20 = 3/5.
this always applies only to one-dimensional distances, lengths.
the perimeter is calculated as the sum of individual lengths. so while each length is scaled by the same ratio, also the sum is then scaled by that ratio.
p_old = a + b + c
p_new = ra + rb + rc = r(a + b + c) = r×p_old
so, the ratio for the perimeter is also 3/5.
for the area this is a bit different, as an area is always calculated by multiplying 2 lengths (other unscaled factors can be ignored for that consideration of relative change), and that means the scaling ratio has to be multiplied in twice.
a_old = a × b
a_new = ra × rb = r² × a×b = r² × a_old
so, the ratio for the area is
(3/5)² = 9/25
Pls help with this question
Answer:
They(play) football for two hours (present perfect continuous
1) At a store, 40% of all the refrigerators are silver. There are 50 silver
refrigerators at the store. How many refrigerators are at the store?
In total there are 125 refrigerators at the store.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, at a store, 40% of all the refrigerators are silver.
There are 50 silver refrigerators at the store.
Let the total number of refrigerators at the store be x.
Here, 40% of x=50
40/100 ×x=50
0.4x=50
x=50/0.4
x=125
Therefore, in total there are 125 refrigerators at the store.
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The circumcenter of a triangle can lie on one of the edges if the triangle is:
Select the best choice from the answers provided.
A.
Right
B.
Acute
C.
Obtuse
D.
none of the above choices are correct.
Answer:
B. Acute
Step-by-step explanation:
the hypotenuse for right triangles and lies outside the triangle for obtuse triangles. The circumcenter coincides with the midpoint of the hypotenuse if it is an isosceles right triangle.
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
A). (tan(x) − 4)(9 sin^2(x) − 1) = 0
B). 3 sin(2x) − 4 sin(x) = 0
Answer:
Step-by-step explanation:
A)[tex](tanx-4)(9sin^2x-1)=0\\\\\\[/tex]
[tex]9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3}[/tex] or [tex]sinx=\frac{-1}{3}[/tex]
OR [tex]tanx=4\\[/tex]
B)
[tex]3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}[/tex]
work out 7 1/2 x 3 2/3
give your answers as a mixed number
Answer:
27½
Step-by-step explanation:
7½×3⅔=((7×2+1)/2) × ((3×3+2)÷3)
= (15×11)÷6=165/6
165/6= 27½
The expression [tex]7\frac{1}{2} - 3\frac{2}{3}[/tex] simplifies to [tex]3\frac{5}{6}[/tex].
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
The expression [tex]7\frac{1}{2} - 3\frac{2}{3}[/tex] is 15/2 - 11/3.
Now, LCM of 2 and 3 is 6.
∴ (45 - 22)/6.
= 23/6.
= [tex]3\frac{5}{6}[/tex]
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These are so hard I’m not sure how to do them :((
Answer:
8 out of 52
or
4 out of 26
Step-by-step explanation:
So you have a 52 deck of cards there are:
Number 6 cards = 4
Number 10 cards = 4
there is a 8 out of 52 chance of you pulling a 6 or 10 card
or (simplify)
4 out of 26 chance
~Denki Kaminari here~
here, this may help you on how to solve probability:
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%
The best example for understanding probability is flipping a coin: There are two possible outcomes—heads or tails.
What’s the probability of the coin landing on Heads? We can find out using the equation P(H) = ?P(H)=?P, left parenthesis, H, right parenthesis, equals, question mark.You might intuitively know that the likelihood is half/half, or 50%. But how do we work that out? Probability = one chance that it we can calculate/ one chance on pure probability
Formula for calculating the probability of certain outcomes for an event
Formula for calculating the probability of certain outcomes for an event
In this case:
Probability of a coin landing on heads
Probability of a coin landing on tails
Probability of an event = (# of ways it can happen) / (total number of outcomes)
P(A) = (# of ways A can happen) / (Total number of outcomes)hope this helps :D
A ABC = ADEF. What is the measure of AB?
D
24 cm
16 cm
E
20 cm
F
OA) 16 cm
OB) 20 cm
OC) 24 cm
D) 36 cm
If IN = 2x + 10 and AT = 26, find x. Group of answer choices 10 8 12 6
Answer:
your answer is B. 8
Step-by-step explanation:
Substitute x for 8.
2(8)+10
16+10=26
Which of the following is a person who supports or believes in the philosophy of communism?
A. Communist
B. Nihilist
C. Fascist
Answer:
ITS DEFINITELY AStep-by-step explanation:
What is the measurement of angle P? MPO O A.) 36° O B.) 64° O C.) 116° O D.) 244°
Answer:
Well, there is no picture so theres no way to know what it could be. All I can do is guess.
B
A culture started with 6000 becteria. after 3 hours it grew to 7200 becteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number. p=ae^kt
Answer: 13,600.
Step-by-step explanation: every hour is 400 bacteria produced. 400x19= 7600. 7600+6000=13600
3,5,6 please help me with these
Answer:
you cant do these they are 3rd and 4th questions
Step-by-step explanation:
Answer:
You can find the answers by dividing the numbers
Step-by-step explanation:
Hmu if u still need help :)
Solve, using the correct order of
operations, when x = 8 and y = 6.
2x - (4 + y)
Step-by-step explanation:
When x = 8 and y = 6
= 2x - ( 4 + y )
Put the value of x and y ...
= 2 × 8 - 4 × 6
Multiply 2 and 8 and 4 and 6 ...
= 16 - 24
Subtract it
= - 8
Hence...the answer is -8 ....
Solve the simultaneous equations
5x + y = -5
5x – 3y = 11
The solution to the simultaneous equations, 5x + y = -5 and 5x – 3y = 11, is: (-1/5, -4)
What is the Solution of Simultaneous Equations?The solution is the pair of values of x and y that is true for both equations.
Given the simultaneous equations,
5x + y = -5
5x – 3y = 11
Subtract
4y = -16
y = -4
Substitute y = -4 into equation 1.
5x + (-4) = -5
5x - 4 = -5
5x = -5 + 4
5x = -1
x = -1/5
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Write a polynomial function of least degree with integral coefficients that has the given zeros.
Answer:
Step-by-step explanation:
To get the equation, you must create the factors containing the roots.
So for example the first set of roots can be produced from
(x -2)(x^2 + 9)
which equals (when expanded) x^3 + 9x - 2x^2 - 18 which when put in the correct order gives
x^3 -2x^2 + 9x - 18
The second one is a bit more difficult to judge.
-5 and -3+ square root(2)
I don't think this is a polynomial. The coefficent is not integral. (-3 +√2)
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule represents the translation? After the translation, what are the coordinates of vertex A'? Q: A: A) (x, y) → ( x + 1, y + 2); (−2, 6) B) (x, y) → ( x + 2, y + 1); (−1, 5) C) (x, y) → (x − 1, y + 2); (−4, 6) D) (x, y) → (x − 2, y − 1); A(−7, 3)
Answer:
a(-2.6) b(5, 0) c(9,5)
Step-by-step explanation:
the rule is x+1 y+2 for each of the vertices
Find the solutions to the equation below.
Check all that apply.
4x^2 - 4x - 2 = 0
A. x = -1/2
B. x = 3/2
C. x = 1/2
D. x = -2
E. x = 3
F. x = 2
Answer:
A and B.
Step-by-step explanation:
4x^2 - 4x - 3 = 0
4x^2 + 2x - 6x - 3 = 0
2x(2x + 1) - 3(2x + 1) = 0
(2x - 3)(2x + 1) = 0
x = 3/2, -1/2.
O Points: 0 of 1
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number greater than 17.
The probability of rolling a number greater than 17 is
(Type an integer or a simplified fraction)
Answer:
i dont know
Step-by-step explanation:
i do middle school not
highschool or college
A student recorded the distance and height of a basketball when shooting a free throw.
Distance feet X 0 2 6 9 12 13 15
Height (feet) Y 4 8.4 12.1 14.2 13.2 10.5 9.8
(a) Write the quadratic regression equation mal models the data Letx=distance in feet and let y= height in feet Round all numbers to the nearest hundredth
(b) Use the equation to estimate the height of basketball when shot from 20 feet. Show your work.
Answer:
a) [tex]y = 0.118x^{2} +2.112x+4.215\\[/tex]
b)height = 896.2 feet
Step-by-step explanation:
for b, substitute 20 in place of x in the first equation.
Find the area of the Rhombus below.
Answer:
90m^2
Step-by-step explanation:
1/2 d1*d2
1/2 12*15
1/2*180
90 Square meter
Help me please !!!!!!
Answer; hi sisters daddy chill
Step-by-step explanation: