Answers
Answer:
The answer is 6 and -6
Step-by-step explanation:
The given equation is
[tex]x^2 - kx + 9 = 0 ... (1)[/tex]
where a = 1. b = -k, c = a
since the equation (1) has equal roots
[tex]\Rightarrow b^2 - 4ac = 0 \newline\\\Rightarrow (-k)^2 - 4(1)(9) = 0\\ \newline\\\Rightarrow (k)^2 - 36 = 0 \newline\\\Rightarrow k^2 = 36 \newline\\\Rightarrow k = \pm 6[/tex]
Hence volume of k = 6, -6
Related Questions
What is the slope of a line perpendicular to 3x + 2y = 7?
-2/3
-3/2
3/2
2/3
Answers
Answer:
m = 2/3
Step-by-step explanation:
Rewrite in slope-intercept form.
y = -3/2x + 7/2
Using the slope-intercept form, the slope is −3/2.
m = -3/2
The equation of a perpendicular line to y=−3/2x + 7/2 must have a slope that is the negative reciprocal of the original slope.
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
• First rewrite the original equation in the form y = mx + c ,
where m = gradient:
[tex]3x + 2y = 7[/tex]
⇒ [tex]2y = -3x + 7[/tex]
⇒ [tex]y = \frac{-3}{2}x + \frac{7}{2}[/tex]
• From this equation, we can see that the gradient, m = [tex]\frac{-3}{2}[/tex] .
The gradient of a line perpendicular to another line with gradient m, = [tex]\frac{-1}{m}[/tex].
∴ gradient of perpendicular = -1 ÷ [tex]\frac{-3}{2}[/tex]
= [tex]\frac{2}{3}[/tex]
need help pleaseeeeeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
We can calculate a few points, such as when x = 0, y = 0 (which sometimes doesn't happen), and the lowest point (where y is the smallest)
When x = 0, y = 3, so (0,3) is one of the points, and is also the y intercept
When y = 0, x = -3, and it also happens that 0 is the lowest point that y can be, since no value of x would make y negative.
Now, we have two points, (0,3) and (-3,0)
Graph B is the one one which has both the points (0,3) and (-3,0) on it, and indeed, y never reaches below the x axis since y can't be negative
A number from 1-50 is chosen at random. What is the probability of not selecting odd or a prime number?
Answers
Answer:
12/25
Step-by-step explanation:
total number of possible outcomes =50
number of possible outcomes =24
probability of not selecting odd or prime numbers
=24/50
=12/25
la mama de fabiana tiene un vivero. En su ultimo pedido compro 5 fresias, una con flores rojas, una con flores blancas, una con flores celestes y otra con flores violetas, 3 rosales, una con flores rojas, otro con flores rosas y otro con flores amarillas y 2 calas, una con flores blancas y otra con flores azules.
Me ayudan porfa.
Les doy puntos y coronita si me ayudan.
Porfa.
Answers
The computation shows that the number of flowers will be 10.
How to calculate the value?The information illustrates the flowers that were brought for the nursery.
Based on the information given, the total number of flowers bought for the nursery will be:
= 5 freesias + 3 rosebrushes + 2 calls lilies
= 10
In conclusion, the total number of flowers is 10.
Learn more about computations on:
brainly.com/question/4658834
#SPJ1
mike solves 56 problems in 1 hour 45 min, how many problems does he solve per hour
Answers
Explained
56 problems divided by 1.75 = 32
The reason I used 1.75 is because 1 hr 45 minutes is 1 hour and the 45 minutes is 3/4 of an hour on the clock, 3/4 is the same as .75
The time that passes between the time you see lightning and you hear the thunder depends on your distance from the lightning. With each km from the lightning 3 seconds pass.
a) Make a table of values for distances from 0 to 5 km.
b) Graph this relation. State whether it is a linear or non-linear relation.
c) Using your graphed relation, how much time passes before you hear lightning that occurs 4.5 km away?
d) Using your graphed relation, how far away are you if you hear the thunder in 1.5 seconds?
Answers
When the lightning occurs 4.5 km away then we will hear after 13.5 seconds and if we hear after 1.5 seconds then we are 0.5 km away from lightning.
Given With each km from the lightning 3 seconds passes.
a) The table of values for distances from 0 to 5 km.
Distances Time
0 0
1 3
2 6
3 9
4 12
5 15
b) The graph of lightning is a linear relation because it is increasing constantly by 3 seconds. f(x)=3x
c) When distance =1 , the time be 3 seconds
when distance =4.5 , the time=3*4.5
=13.5 seconds.
d) When time is 3 seconds = 1km
when time =1.5 seconds , the distance be 1/2=0.5 km.
Learn more about graph at https://brainly.com/question/4025726
#SPJ10
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
AngleJ = 90° AngleJ' = 90°
AngleK = 65° AngleK' = 65°
AngleL = 25° AngleL' = 25°
Which statement is true about this transformation?
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
It is not a rigid transformation because the corresponding side lengths are not equal.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.
Answers
Triangle JKL is transformed to create triangle J'K'L'. It can be a rigid or a non rigid transformation depending on whether the corresponding side lengths have the same measures.
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure.
A rigid transformation such as reflection, rotation and translation preserve the shape and size, hence the pre-image and image have the same corresponding angle and side measures.
A non rigid transformation such as dilation preserve the shape and not size, hence the pre-image and image have the same corresponding angle measures.
Triangle JKL is transformed to create triangle J'K'L'. It can be a rigid or a non rigid transformation depending on whether the corresponding side lengths have the same measures.
Find out more on transformation at: brainly.com/question/4289712
#SPJ1
Answer:
C
Step-by-step explanation:
2023
Today only, a table is being sold for $100.80. This is 24% of its regular price. What was the price yesterday?
Answers
Answer:
$420
Step-by-step explanation:
100.80/x = 24/100
with x being the regular price
x = (100.8*100)/24
x = 420
Try It #3
There is a straight road leading from the town of Timpson to Ashburn 60 miles east and 12 miles north. Partway down the road, it junctions with a second road, perpendicular to the first, leading to the town of Garrison. If the town of Garrison is located 22 miles directly east of the town of Timpson, how far is the road junction from Timpson?
Answers
The distance of the road junction form Timpson is given as 21.57 miles.
We have to solve this using the Pythagoras theorem methodWe have AT = [tex]\sqrt{TN^{2}+AN^{2} }[/tex]
√60² + 12² = 12√26
∠TMG = LN = 90 degrees
Therefore we have the system
[tex]\frac{TM}{60} = \frac{22}{12\sqrt{26} }[/tex]
When we cross multiply we would have to solve for TM
TM = 21.57 miles
Hence the distance of the road junction form Timpson is given as 21.57 miles.
Read more on distance here:
https://brainly.com/question/17273444
#SPJ1
Find in degrees.
11
B
6
[?]°
Round to the nearest hundredth.
Enter
Answers
Answer:
[tex] \beta = 28.610[/tex]
Step-by-step explanation:
in this case we have a right angled triangle, whenever you see this triangle think of the TRIG RATIOS * sin, cos & tan* but if it was another triangle besides right angled triangle you use SINE RULE OR COSINE RULE
SOLUTION
[tex] \tan( \beta ) = \frac{opposite}{adjecent} \\ \tan( \beta ) = \frac{6}{11} \\ \beta = tan(inverse)( \frac{6}{11} ) \\ \beta = 28.61045[/tex]
The points (-3 r) and (9 2) lie on the line with slope 1/4. find the missing coordinate
Answers
Answer: -1
Step-by-step explanation:
I assume the points are (-3, r) and (9,2).
Substituting into the slope formula,
[tex]\frac{r-2}{-3-9}=\frac{1}{4}\\\\\frac{r-2}{-12}=\frac{1}{4}\\\\r-2=-3\\\\r=-1[/tex]
Which of the following properly describe "slope"? Select all that apply.
Y₂
x₂-x
0
x₂7x
y₂-yi
Orun / rise
Orise / run
Oratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)
Answers
Answer:
I would assume you're referring to this test? if so the answer is
a, d and e
The expression that describes the slope properly are:
A. m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
D. m = rise/run
E. Ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run).
We have,
The slope of a line is a measure of its steepness or inclination.
It represents the rate of change between two points on the line, specifically the ratio of the vertical change (rise) to the horizontal change (run).
Mathematically, the slope (m) is calculated as:
m = change in vertical distance/change in horizontal distance
or
m = rise/run
or
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Thus,
The expression that describes the slope properly are:
A. m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
D. m = rise/run
E. Ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run).
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ7
Find x so that l || m.
Answers
Hello,
Answer:
x = 20
Step-by-step explanation:
3x + 10 = 4x - 10
⇔ 4x - 3x = 10 + 10
⇔ x = 20
Answer:
20
Step-by-step explanation:
Since l ll m
( 3x + 10 ) and ( 4x - 10 ) are alternate exterior angles,
Property of parallel lines ( ll ) : -
Alternate exterior angles are equal.
4x - 10 = 3x + 10
4x - 3x = 10 + 10
x = 20
Jordan's grades improved in arithmetic when he was fitted with hearing aids. Why does he no longer have an SCD
Answers
Jordan can now hear the math teacher, whose classroom instruction was crucial in addition to what Jordan read in his textbook.
What are hearing aids?A hearing aid is a small electronic device that you wear in or behind your ear. It is used by people who cannot hear properly. Wearing this device makes sounds louder so that a person who cannot hear can listen, and talk to other people. A hearing aid can help people hear in every situation.
What is an SCD?SCD is nothing but a specific learning disorder.
How is it different from intellectual disability?An SLD is specific to underachievement in academic skills that are not attributable to intellectual disability, developmental delay, or physical cause.
Learn more about hearing aids here:
https://brainly.com/question/3190699
#SPJ4
Fitness Your goal is to take at least 10,000 steps per day. According to your pedometer, you have walked 527 4 steps. Write and solve an inequality to find the possible numbers of steps you can take to reach your goal.
Answers
The inequality is x + 5274 ≥ 10,000.
The total number of steps I have to take to reach my goal is 4726.
How many more steps do I have to take?Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toNumber of steps I have to take + number of steps I have taken ≥Total steps
X + 5274 + x ≥ 10,000
x ≥ 10,000 - 5274
x ≥ 4726
To learn more about inequality, please check: https://brainly.com/question/5031619
#SPJ1
Can someone please help
Answers
Answer: 2.5
Step-by-step explanation:
[tex]1 \times 3=3\\\\3-\frac{1}{2}=2.5[/tex]
a nunebr is chosen at random from 1 to 50 find the probability of selecting numbers greater than 30 and less than 45
Answers
Answer:
7/25
Step-by-step explanation:
there are 14 numbers greater than 30 and less than 45
31 32 33 34 ......42 43 44 <=====14 numbers
14 choices out of 50 = 14/ 50 = 7/25
Lucky’s Market purchased a new freezer for the store. When the freezer door stays open, the temperature inside rises. The table shows how much the temperature rises every 15 minutes. Find the unit rate.
Answers
The unit rate per minute is 2/3.
What is the unit rate?
In order to determine the unit rate, divide the temperature by the time. Division is the mathematical operation that is used to determine the quotient of a number.
Unit rate = temperature / time
10 / 15 = 2/3
To learn more about division, please check: https://brainly.com/question/13281206
#SPJ1
Are the following lines parallel, perpendicular, or neither: y=-x+6 and y=x+1
Answers
Answer:
The following lines is perpendicular, y=-x+6 and y=x+1
Step-by-step explanation:
Slope of parallel lines are equal(ex. slope of 2 stays 2 )
Slope of perpendicular lines to another is the negative reciprocal(ex. slope of 2 becomes -1/2)
y = -x + 6 and y = x + 1
the slope for y = -x + 6 is -1 (-1/1)
the slope for y = x + 1 is 1
the slope -1 is the negative reciprocal of 1
hence, the definition of perpendicular fits the given
Learn more about Perpendicular and Parallel Lines here: https://brainly.com/question/1202004
y=f(x)graph Select the interval where fff is positive.
Answers
The interval where f is positive is [tex]0 \le x < 1.5[/tex]
How to determine the positive interval?The missing function is added as an attachment
From the attached graph, the function f(x) is positive from x = 0 to x = 1.5
As an interval notation, this can be represented as:
[tex]0 \le x < 1.5[/tex]
Hence, the interval where f is positive is [tex]0 \le x < 1.5[/tex]
Read more about function intervals at:
https://brainly.com/question/27831985
#SPJ1
find the zeros of 7=x^2-8x-3 by completing the square
Answers
Using the completing the square method, for the equation, we have the zeros as x = √26 + 4 and x = 4 - √26
How can the zeros be found using completing the square method?The given equation is presented as follows
[tex]7 = \mathbf{ {x}^{2} - 8x - 3}[/tex]
Which, by completing the square, gives;
[tex] {x}^{2} - 8x - 3 - 7 = 0[/tex]
[tex] {x}^{2} - 8x - 10 = 0[/tex]
[tex] {x}^{2} - 8x + {\left(\frac{8}{2} \right) }^{2} - 10 - {\left(\frac{8}{2} \right) }^{2} = 0[/tex]
[tex] \mathbf{{(x - 4)}^{2} } =26[/tex]
The zeros of the equation;
[tex]7 = {x}^{2} - 8x - 3[/tex]
are;
[tex] \underline{x = \pm \sqrt{26} + 4}[/tex]
Learn more about completing the square here:
https://brainly.com/question/10449635
#SPJ1
If a snowball melts so that its surface area decreases at a rate of 1 cm2/min, find the rate at which the diameter decreases when the diameter is 12 cm. (Give your answer correct to 4 decimal places.) cm/min
Answers
The rate at which the diameter decreases is 0.0159cm/min.
Given that a snowball melts and its surface area decreases at a rate of 1cm²/min.
The surface area of a solid object may be a measure of the entire area that the surface of the thing occupies.
The surface area of the snowball is A=4πr² because the snowball is spherical.
Here, r is the radius of the snowball.
Let D be the diameter of the snowball.
As the radius is half of the diameter
The surface area of a snowball can also be rewritten as
A=4π(D÷2)²
A=4π(D²÷4)
A=πD²
Given that the surface area decreases by 1cm²/min, so,
dA÷dt=-1cm²/min.
Differentiating both sides in A=πD² and get
dA÷dt=2πD(dD÷dt)
Given that the diameter is 12cm.
Substitute these values in the formula and find dD÷dt
-1=2π×12×(dD÷dt)
-1=24π×(dD÷dt)
-1÷24π=dD÷dt
-0.0159≈dD÷dt
Hence, the diameter decreases at the rate of 0.0159 cm/min when the diameter is 12 cm.
Learn about the surface area from here brainly.com/question/15169645
#SPJ4
What is the difference? −9 4/5−(−3 2/3)
Answers
Subtraction is a mathematical operation that reflects the removal of things from a collection. The difference between −9 4/5 and −3 2/3 is -6 2/15.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The difference between −9 4/5 and −3 2/3 is,
−9 4/5 − (−3 2/3)
= −9 4/5 + 3 2/3
= (−9+3) + (−4/5 + 2/3)
= −6 + (-2/15)
= -6 2/15
Hence, The difference between −9 4/5 and −3 2/3 is -6 2/15.
Learn more about Subtraction:
https://brainly.com/question/1927340
#SPJ1
Find a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial x²-x-6
Answers
Zeros of this function
x²-x-6=0x²-3x+2x-6=0x(x-3)+2(x-3)=0(x+2)(x-3)=0x={-2,3}ZEros of reciprocal function
x={-1/2,1/3}The equation
x²-(-1/2+1/3)x-(1/2)(1/3)=0x²-1/6x-1/6=0Which is the graph of y = - root(7, x) - 8 ?
Answers
Answer:
Step-by-step explanation:
A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angular speed of the wheel, in radians per second?
Answers
The angular speed of the wheel is calculated as 52.36 radians per second
How to solve for the angular speedThe revolution of this wheel is said to be at 500 in a minute
This is also called the frequency of this wheel.
This can be written as
500rev in 60 seconds. 500/60 = 8.333 per second
Angular speed is given as
pi = 22/7
f = 8.333
Formular for angular speed = ω = 2*pi*f
w = 2 * 22/7 * 8.333
= 52.36 radians per second
Read more on angular speed here:
https://brainly.com/question/6860269
#SPJ1
Find the surface area of a cube with a side length of 8 m
Answers
Answer:
384 m²
Step-by-step explanation:
The formula to find the surface area of a cube is:
S.A. = 6a²
Here,
a ⇒ length of a side ⇒ 8m
Let us solve it now.
S.A. = 6a²
S.A. = 6 × 8 × 8
S.A. = 48 × 8
S.A. = 384 m²
Help Urgent In a Hurry
1. What is the energy of photon having a frequency of a 4.5 × 106 Hz? (h = 6.6 × 10-34 J s)
2. Calculate the energy of radiation of wavelength of 615 nm (h = 6.6 × 10-34 J s).
3. Calculate the energy of radiation of wavelength of 300 nm (h = 6.6 × 10-34 J s).
4. What is the energy of a photon having a frequency of 4 × 104 Hz? (h = 6.6 × 10-34 J s)
5. A photon has a wavelength of 230 nm. Which of the following represents the energy of the photon?
Answers
The energy of the photon in each case is;
1. 2.97 * 10^-27 J
2. 3.2 * 10^-19 J
3. 6.6 * 10^-19 J
4. 2.64 * 10^-29 J
5. 8.6 * 10^-19 J
What is the energy of photon?
The energy of a photon is obtained form the Plank's equation; E = hf
1) E = hf
E = 6.6 × 10^-34 J s * 4.5 × 10^6 Hz
E = 2.97 * 10^-27 J
2)E = hc/λ
E = 6.6 × 10^-34 J s * 3 * 10^8/615 * 10^-9
E = 3.2 * 10^-19 J
3) E = hc/λ
E = 6.6 × 10^-34 J s * 3 * 10^8/300 * 10^-9
E = 6.6 * 10^-19 J
4) E = hf
E = 6.6 × 10^-34 J s * 4 × 10^4 Hz
E = 2.64 * 10^-29 J
5) E = hc/λ
E = 6.6 × 10^-34 J s * 3 * 10^8/230 * 10^-9
E = 8.6 * 10^-19 J
Learn more about energy of a photon:https://brainly.com/question/2393994
#SPJ1
Write the domain and range of g using interval notation.
Answers
What is an equation for the line parallel to y = −x + 2 going through the point (−3, −5)?
Answers
The equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8
Equation of a lineThe equation of a line in point slope form is expressed as:
y - y1 = m(x-x1)
Given the equation y = -x + 2, the slope of the line parallel to the line is -1
Substitute the slope and point (-3, -5)
y -(-5) = -1(x - (-3))
y+5 = -(x + 3)
y+5 =-x - 3
y = -x - 3 - 5
y = -x - 8
Hence the equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8
Learn more on equation of a line here: https://brainly.com/question/18831322
#SPJ1