Answer:
[tex]k=\pm 6[/tex]
Step-by-step explanation:
The given quadratic equation is :
[tex]x^2 - kx + 8 = 0[/tex]
One of the roots of this equation is twice that of the other. Let the roots are [tex]\alpha \ and\ \beta[/tex], [tex]\alpha =2\beta[/tex]
Sum of roots, [tex]\alpha +\beta =\dfrac{-b}{a}[/tex]
[tex]\alpha +\beta =\dfrac{-(-k)}{1}\\\\\alpha +\beta =k\\\\3\beta =k\ .......(1)[/tex]
Product of roots,
[tex]\alpha \beta =\dfrac{c}{a}\\\\2\beta ^2=\dfrac{8}{1}\\\\\beta =\pm 2[/tex]
If [tex]\beta =\pm2[/tex],
[tex]k=3(2)\\\\=\pm 6[/tex]
So, the value of k is equal to [tex]\pm 6[/tex].
help pls D:
9. The table represents some points on a linear
function. Which situation can be modeled by this
function?
X
3
5
7
11
Y
228
380
532
836
A. The cost of buying number of concert tickets for
$76 each.
B. The number of pages y that can be read in 76
minutes.
C. The number of gallons of fuel xthat can be used to
travel 228 miles.
D. The amount of money spent from a savings
account with y dollars.
Answer:
A
Step-by-step explanation:
Mrs. Drilon’s electric meter reading last month was 1023, and her present electric meter reading is 1053. What is her electric consumption?
Answer:
30
Step-by-step explanation:
Subtract the 1023 reading from the 1053 one:
1053
-1023
---------
30
Her electric consumption was 30.
Timia needs so cash in a hurry she owns her car outright and is considering a title loan. The lender told timia she could borrow 1750 for 1 month
The question is incomplete ; the fee which Timia would pay isn't given. And this is needed to compute the APR on the loan.
I would assume that the fee which Timia would pay as interest on the 1 - month loan is x
Answer:
r = x / 145.83333
Step-by-step explanation:
If interest paid, I = x
Principal, P = $1750
And period (time) of loan = 1 month = (1/12) = 0.0833333
Rate = r
Using the simple interest formula :
Interest = Principal * rate * time
x = 1750 * r * 0.833333
Make r the subject :
x = 145.83333r
Divide both sides by 145.83333
Hence, the rate value , r becomes :
r = x / 145.83333
Therefore, the student can just input the appropriate, interest value in place of x and obtain the correct and exact answer (I do not want to use an hypothetical value for x) .
Write the expression: twice a number increased by seven
Answer:
x2+7
Step-by-step explanation:
.
(07.06 MC)
Rocky needs at least $32 to buy an amplifying speaker. He already has $17. Which graph best represents all the possible dollar amounts that Rocky can save to buy an amplifying speaker? (5 points)
Number line graph with open circles on 0 and 15 and shading in between.
Number line graph with closed circles on 0 and 15 and shading in between.
Number line graph with closed circle on 15 and shading to the right.
Number line graph with open circle on 15 and shading to the right.
Number line with closed circle on 15 and shading to the right. That's because 32 - 17 = 15 and since you need at least 15 more dollars the circle would be closed and shading to the right since it's at least meaning 15 or more.
The answer is c i took the test a long time ago
Answer:
C. Number line graph with closed circle on 15 and shading to the right.
Step-by-step explanation:
i took the test
x2y3z - y3z2 - x2yz2 + yz3
Answer:
xyxhvhbkkdhkx djdbk dkbdidnxidbduvdjdbxbdbisbd it bdndb
WHAT IS 1+1 pls help
Answer:
2.0
Step-by-step explanation:
what is 9999999999999999999999999999999 X .906 X 828288282 right answers only no g00gle if you comment without a actual right answer i will report you
Answer:
there are a total of 31 9's in the beginning and breaking my head open doing this math from writing on paper we get about 7.50e+39
Step-by-step explanation:
A 17 ft ladder leans against the side of a house. The top of the ladder is 14ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
Answer:
.82 or 80 degrees rounded
Step-by-step explanation:
you can use SOH-CAH-TOA meaning sin = opposite/hypotenuse, so 14/17 = .82.
Help pleaseeeeeee!! Thank you!,
Answer:
Nice background!
Step-by-step explanation:
But I don’t know the answer sorry
Answer:
composite
Step-by-step explanation:
composite- is defined as the whole numbers that have more than two factors. whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers. As shown in the image.
How to prove similarity of two triangles?
Answer:
Use five possible postulates:
SSS (all three sides are marked and congruent)
SAS (two sides and one angle marked and congruent)
ASA (two angles and one side marked and congruent)
AAS (same as ASA but in a different order)
HL (right triangle hypotenuse)
help??????? please???????
Answer:
28 across and 21 down ( I think, cant really read the numbers)
Ana took her broken bicycle to the repair shop to have the frame starightened. The repairman told her there was a 30% chance that he wouldn't be able to fix it. What is the probability that he will be able to fix it?
please help!!
Malia and Omar want to find the shortest route from their school to a local burger
hangout. The length of Route A is 1.5 times the length of Route B and ¾ the
length of Route C. If Route C is 3 kilometers long, then Route A is how many
kilometers longer than Route B?
Answer:
Route A is 0.75 km longer than route B.
Step-by-step explanation:
Length of route A is 1.5 times the length of route B.
a = 1.5b
[tex]\frac{a}{b}=\frac{15}{10}[/tex]
[tex]\frac{a}{b}=\frac{3}{2}[/tex] --------(1)
Here, a = Length of route A
b = Length of route B
Length of route A is [tex]\frac{3}{4}[/tex] of route C.
a = [tex]\frac{3}{4}c[/tex]
[tex]\frac{a}{c}=\frac{3}{4}[/tex] ------(2)
Here, c = Length of route C
Length of route C = 3 km
Length of route A = [tex]\frac{3}{4}\times 3[/tex] [From equation (2)]
= 2.25 km
Length of route B = [tex]\frac{2}{3}\times 2.25[/tex] [From equation (1)]
= 1.5 km
Difference in route A and route B = 2.25 - 1.5
= 0.75 km
Therefore, route A is 0.75 km longer than route B.
Daniel rode his bike for 6 hours and he jogged for 8 hours during the past 2 weeks. If he continues biking and jogging at the same rate, how many hours will he ride his bike and jog in 24 weeks?
A. 168 hours
B. 336 hours
C. 192 hours
D. 14 hours 8 hours 6 Hours 2 weeks
Answer:
B. 336 hour's
Step-by-step explanation:
sana nakatulong :-)
Answer:
168hours
Step-by-step explanation:
2weeks=6+8=14
1 week=7
24×7=168
HELP ME PLEASE
Which point is not on the graph of
y=2x+3
A. (1, 5)
B. (2, 7)
C. (3,9)
D. (5, 1)
Answer:
D.
A linear equation is an equation with two variables whose graph is a line. The graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation.
[tex]y = 2(5) + 3 = 13 [/tex]
3/4 is less than or equal to 1/2+n
Answer:
no
Step-by-step explanation:
3/4=0.75
1/2+n=0.5
Answer:
3/4 is greater than 1/2 I hope this helps you
What exponent is equivalent to 1/8?
Answer:
Since from the laws of exponents we have that x−n=1xn , it implies that we may write 18=8−1 . 18=123=2−3.
Step-by-step explanation:
Can someone plz help
please help me I WILL REPORT YOU FOR A LINK OR UNHELPFUL ANSWER i give brainliest
the answer is x = -2
If ∠5 = 137° and ∠7 = 100°, find the measure of ∠1. *
Answer:
m∠1 = 37°
Step-by-step explanation:
if m∠5 = 137 then m∠2 = 43 (supplementary angles)
if m∠7 = 100 then m∠3 = 100 (vertical angles)
m∠1 + m∠2 + m∠3 = 180°
m∠1 + 43 + 100 = 180°
if you’re standing on the street 1,300 feet from the bottom of the building, you have to look up at a 23 degree angle to see the top. How tall is the building ? explain or show your reasoning.
Answer:
551.82feet tall
Step-by-step explanation:
WE are given the following from the question;
Distance of me from the bottom of the building = 1300feet (adjacent)
Angle of elevation = 23 degrees
Required
Height (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 23 = H/1300
H = 1300tan23
H = 1300(0.4245)
H = 551.82feet
Hence the building is 551.82feet tall
Type the correct answer in the box. Use numerals instead of words.
From the top of a 300-foot cliff overlooking the ocean, Kelly measures the angle of depression to a boat approaching the shore as 20°.
What is the approximate distance between the boat and the base of the cliff? Round your answer to the nearest whole foot.
feet.
The distance between the boat and the base of the cliff is
Answer:
824 feet
Step-by-step explanation:
Got it right on Plato
Point B is a point of tangency. Find the radius r of OC.
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r = [tex]\frac{576}{36}[/tex]
r = 16 units
Sum of 23 and y please help
Answer:
I think it’s -5
Evaluate the algebraic expression 25/r-4 if r=9
Step-by-step explanation:
25 / 9 -4 = 25 / 5 = 5
5 is the solution
Answer:
5
Step-by-step explanation:
[tex]\frac{25}{r-4} = \frac{25}{9-4} =\frac{25}{5}= 5[/tex]
replace r with 9
After eight games the team has won two games lost five and tied one if there season is 24 games how many games will they win at this rate
Answer:
Since the games in total add up to 8, we see that 8 is a factor of 24. It goes in 3 times. Therefore, we have to multiply everything by 3 to get the answer out of 24. There will be 6 wins, 15 losses and 3 tie. That adds up to 24.
help please urgentttt
In which two sports are the players’ height distributions most alike? Explain your reasoning.
Who wants to do my aleks topics.... I will give you the account and password, yo the teacher really expects me to do 20 of them.
Answer:
Step-by-step explanation:
45 47
HELP ME PLEASE! FIRST PERSON TO ANSWER GET BRAINLIST! (where the hell its called)
Q : 4(5j + 8 +6j) = ???
Answer:
= 44j+32
j = -8/11
geometric figure it is called a line.
Step-by-step explanation:
Expand the following:
4 (6 j + 5 j + 8)
Grouping like terms, 5 j + 8 + 6 j = (5 j + 6 j) + 8:
4 (5 j + 6 j) + 8
5 j + 6 j = 11 j:
4 (11 j + 8)
4 (11 j + 8) = 4×8 + 4×11 j:
4×8 + 4×11 j
4×8 = 32:
32 + 4×11 j
4×11 = 44:
Answer: 32 + 44 j