Answer:
[tex]c^2 = 9dp[/tex]
Step-by-step explanation:
Given
[tex]dx^2 + cx + p = 0[/tex]
Let the roots be [tex]\alpha[/tex] and [tex]\beta[/tex]
So:
[tex]\alpha = 2\beta[/tex]
Required
Determine the relationship between d, c and p
[tex]dx^2 + cx + p = 0[/tex]
Divide through by d
[tex]\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0[/tex]
[tex]x^2 + \frac{c}{d}x + \frac{p}{d} = 0[/tex]
A quadratic equation has the form:
[tex]x^2 - (\alpha + \beta)x + \alpha \beta = 0[/tex]
So:
[tex]x^2 - (2\beta+ \beta)x + \beta*\beta = 0[/tex]
[tex]x^2 - (3\beta)x + \beta^2 = 0[/tex]
So, we have:
[tex]\frac{c}{d} = -3\beta[/tex] -- (1)
and
[tex]\frac{p}{d} = \beta^2[/tex] -- (2)
Make [tex]\beta[/tex] the subject in (1)
[tex]\frac{c}{d} = -3\beta[/tex]
[tex]\beta = -\frac{c}{3d}[/tex]
Substitute [tex]\beta = -\frac{c}{3d}[/tex] in (2)
[tex]\frac{p}{d} = (-\frac{c}{3d})^2[/tex]
[tex]\frac{p}{d} = \frac{c^2}{9d^2}[/tex]
Multiply both sides by d
[tex]d * \frac{p}{d} = \frac{c^2}{9d^2}*d[/tex]
[tex]p = \frac{c^2}{9d}[/tex]
Cross Multiply
[tex]9dp = c^2[/tex]
or
[tex]c^2 = 9dp[/tex]
Hence, the relationship between d, c and p is: [tex]c^2 = 9dp[/tex]
PLEASE HELP ASAP!!! WILL MARK BRAINLIEST!!! (Solving Equations with Distributive Property)
1) -1/2(12p-42) = -33
2) -3 + 2/3(6n-42) = -51
Step-by-step explanation:
Answer and explanations are in the pic
please help
me solve this
Answer:
A
Step-by-step explanation:
I literally just did the test a week ago and gt the answer correct
The coordinates
(
−
2
,
−
3
)
(−2,−3) lie on line
r
r. Which equation could represent line
r
r?
Answer:
A y = -12x – 21 By = -2x – 7 O y = 5x – 7 D y = -2x – 1
Step-by-step explanation:
HOPE THIS HELPS !! <3
Nancy bought a package of 4 spiral notebooks for a total cost of $18.25. Which equation represents p, the cost, in dollars, of each notebook?
Answer:
p=18.25/4
p=$4.56 (when you round)
Step-by-step explanation:
Brainliest?!?!?!?!?
Karem drives his car and 96 miles in 1 1/2 hours of karem continues to drive at this rate how many miles will you travel in 2 1/2 hours?
Answer:you have to find how much hrs are together the multiply by 2 and dived really i just need points
Step-by-step explanation:
Mr. Garcia's yard is 22 feet by 31 feet. If he wanted to put a fence around this yard, how many feet of fence would he need?
Answer:
53
Step-by-step explanation:
The Students' Conjectures: You and Uyen are writing a grant proposal for $50,000 to
provide wireless Internet access to a rural community in South Korea. Complete the
table to summarize Uyen's idea about the percentage of the population that can get
Internet access for $50,000. (1 point)
Classmate
Conjecture
Uyen
1/3 + (3x+12) = 6x -11
Answer:
x = 70/9
Step-by-step explanation:
Answer:
70/9
Step-by-step explanation:
write the equation for the inverse of the function y=pi/4+sinx
Answer:
Step-by-step explanation:
Sine doesn't have an inverse, until you restrict the domain to -pi/2 to pi/2. If you don't restrict the domain, then the inverse doesn't exist. Im going to assume the domain is restricted.
Switch the x and y values
[tex]x= \pi/4+ \sin(y)[/tex]
Subtract pi/4 on both sides
[tex]x- \pi/4= \sin(y)[/tex]
Take the arcsine of both sides
[tex]\arcsin(x- \pi/4)=y[/tex]
Answer:
C.
Step-by-step explanation:
correct on edg
graph the inequality
Answer:
D
Step-by-step explanation:
jqiwisksjsnsnjowowklqk
the answer is D
sjdjdikckckskdkvkocdfoc
Red balloons is 15 blue balloons is 10 what is the ratio of red to blue
Answer:
3:2
Step-by-step explanation:
15 to 5 in simplest form you caan multiply by 5 so in simplest form its
5x3=15
5x2=10
so anwswer is 3:2
plz mark brinliest
Simplify 3xy - 9xy + 11y
-y · (6x-11)
Hope that helps
pls help me with this problem its due in 10 minutes i do not need a full explanation
Answer:
20,781.64[tex]in^{3}[/tex]
Step-by-step explanation:
V = [tex]3.14*21^{2} *\frac{43}{3}[/tex]
good luck, i hope this helps :)
Given Angle 1 = Angle 2, find X.
X =
Answer:x=6
Step-by-step explanation:
100 POINTS PLEASE HELP ASAP!!!!!!!!!!!
Answer:
its the first one
Step-by-step explanation:
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⣿⣿⣿⣿⠟⠩⠶⣾⣿⡿⢯⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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yall like that ;)?
A rectangle has a width of 2x and a length of 2x+5, what is the area?
Answer:
what ever the next person says
Step-by-step explanation:
please help me with this question fast!!!!
PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!!! <3
Answer: The numbers go from left to right on the table in this order: 0, 3, 4, 3, 0, -5.
To do the problem, you put the x - value in place of where the x is in the equation above (y = 4 - x^2) and then you put what y equals in the box after you finish.
Good luck, hope this helped!!
write the sentence as an equation, 341 is the same as 19 divided by b
Answer:
19/b =341
Step-by-step explanation:
Division in algebra is shown in fractions so if you put 19 over b it means 19 divided by b.
Raul’s sister is 6 years older than he is. What is Raul’s age if Raul’s sister is 19 years old? r=?
Answer:
13
Step-by-step explanation:
19-6
Answer:
Raul is 13 years old
Step-by-step explanation:
Algebra edg plz help!
Answer:
12
Step-by-step explanation:
Least common multiple of the numbers 2, 3, and 4 is 12
Answer:
3
Step-by-step explanation:
For them to at least be a whole number, it’s 3
I am giving brainliest to the right answer!
ok answer this, 7x150+10 and that should be your answer.
Answer:
x=20
Step-by-step explanation:
there are two intersecting lines with two pairs of opposite angles each of the pairs are called vertical angles and if two angles are vertical, they are congruent
we know the angles are congruent, we also know (150=7x+10) and in order to solve for x we have to isolate x by subtracting 10 to both sides giving us (140=7x )
divide by seven on both sides to isolate x and that will give you x=20.
hope this helps :) have a nice day !!
please help me !!!!!
Answer:
61 feet
Step-by-step explanation:
We can use the pythagorean theorem to solve this answer (a^2 + b ^2 = c^2, c= longest length)
50^2 + 35^2 = 61.03.
Rounded to the nearest whole number, the answer is D.
Answer:
C
Step-by-step explanation:
It's a right triangle so you can use a squared +b squared =c squared
a and b are the legs of the triangle which in this case are 50 and 25 feet.
Plug them into the equation:
50^2+25^2=c^2
50 squared = 2,500
25 squared = 625
2,500 + 625= 3,125
so c squared is 3,125. To get c you need the square root which is ~55 feet
Find Sin D and sin E! Write the answer as a fraction and as a decimal. Round to four decimal places, if necessary! Please help me!
Answer:
sine D = 0.9459
sine E = 0.3243
Step-by-step explanation:
Mathematically, sine is the ratio of the opposite to the hypotenuse
The hypotenuse is the longest side and we have it as 37 in the diagram given
the opposite to angle E is 12
So the sine of E = 12/37 = 0.3243
For D , its opposite is 35
The sine of D = 35/37
sine of D = 0.9459
The triangle has an area of 7 7/8 cm2 and a base of 5 1/4 cm. What is the height?
Answer:
3
Step-by-step explanation:
7 7/8÷51/4
3/2÷1/2
3
A=bh1/2
A=5 1/4×3×1/2
A=15 3/4×1/2
A= 7 7/8
(Mark as brainliest please)
You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both
machines. The amount of calories burned on each machine is shown in the picture below. How
much time should you spend on each machine?
Machine a burns 8 calories per minute machine b burns 6 calories per minute.
Factor using the GCF: 6x + 15
Answer:
3(2x + 5)
Step-by-step explanation:
What numbers go into both 6 and 15? What number is the largest of those numbers? The answer to both questions is 3, therefore we factor out the 3 using the distributive property
Answer:
It is 3(2x+5)
Step-by-step explanation:
Hope you get it right
The weather report says there is a 91% chance it will rain tomorrow. Should you get ready to use an umbrella?
Question 1 options:
1 Yes
2 No
3 maybe
What is the value of s?
units
which best describes two figures that are similar?
Answer:
B
Step-by-step explanation: