Answer:
c = da/b
Step-by-step explanation:
a/b = c/d
a/b x d = c
c = da/b
Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,8).
Answer:
y=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6
Step-by-step explanation:
If the zeros are:
x1=-3
x2=-1
x3=2
then the function is:
y = a (x-x1) (x-x2) (x-x3) = a (x+3) (x+1) (x-2)
y = a (x^3+2x^2-5x-6)
To find the value for "a" we use the information that, if x=1, then y=8:
y = a (1+2-5-6) = a (-8) = 8 therefore a=-1
So:
y=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6
Find the distance between the points (2, 4) and (8, -8) on a coordinate plane, to the nearest whole number.
A.7
B.11
C.13
D.16
Answer:
C
Step-by-step explanation:
distance between two points formula:
[tex]d = \sqrt{( x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]
where the x and y values are derived from the known points
we are given the points (2, 4) and (8, -8)
given these two points let's define each variable
x1 = 2
x2 = 8
y1 = 4
y2 = -8
we now substitute in these values into the formula
[tex]d = \sqrt{(8 - 2) ^{2} + ( - 8 - 4)^{2} } [/tex]
now we evaluate the expression using PEMDAS
first we do the subtraction inside of the parenthesis
8 - 2 = 6
-8 - 4 = -12
d = sqrt(6)^2 + (-12)^2
next we do the exponents
6^2 = 36
-12^2 = 144
d = sqrt( 144 + 36 )
next do the addition inside of the parenthesis
144 + 36 = 180
d = sqrt ( 180 )
finally we do the square root of 180
sqrt ( 180 ) = 13 ( rounded to the nearest whole )
d = 13
[tex]\text{Solve for 'x':}\\\\3(x+1)=12+4(x-1)[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = -5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3(x+1)=12+4(x-1)\\----------\\\rightarrow 3x + 3 = 12 + 4x - 4\\\\\rightarrow 3x + 3 = 12 -4+4x\\\\\rightarrow 3x + 3 = 8 + 4x\\\\\rightarrow 3x + 3 = 4x + 8\\\\\rightarrow3x + 3 -3 = 4x + 8 - 3\\\\\rightarrow 3x = 4x + 5\\\\\rightarrow 3x - 4x = 4x - 4x + 5\\\\\rightarrow -x = 5\\\\\rightarrow \frac{-x=5}{-1}\\\\\rightarrow \boxed{x = -5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x=-5Step-by-step explanation:
3(x+1)=12+4(x-1)
3(x+1)=8+4x
3x+3=8+4x
3x+3−4x=8
-x+3=8
-x=8-3
-x=5
-x(-1)=5(-1)
-x(-1)=-5
x=-5
Find an equation of a line with a slope of -4 and having
the point (2,0) on the line. Then graph the line.
Answer:
y = -4x + 2
Step-by-step explanation:
The formula for slope is: y = mx + b
Where m is slope and b is when the line intersects the y-axis.
Plug in:
y = -4x + 2
The two is the point in the line, and -4 is the slope.
Hope this helps.
Suppose you invest $1800 at an annual interest rate of 3.3% compounded
continuously. How much will you have in the account after 1.5 years?
Answer:
$1,890
Step-by-step explanation:
To find the amount, we use the compound interest formula here
we have this as;
A = P(1 + r/n)^nt
Where ;
P is the amount invested which is $1,800
r is the interest rate which is 3.3% annually (3.3/100 = 0.033)
n is the number of times yearly interest is compounded which is 1 time yearly
t is the number of years which is 1.5 years
substituting these values, we have
A = 1800( 1 + 0.033)^(1 * 1.5)
A = 1,890
Find the equation of the line.
Use exact numbers.
y= x+
Find the volume of the prism
Answer:
A prism is a polyhedron with two parallel, congruent faces called bases that are polygons
write the equation of the line that goes through points (0,4) (6,16)
Answer: Y= 2x
Step-by-step explanation:
Answer:
y=2x-4
Step-by-step explanation:
firstly find the gradient
m=y2-y1/x2-x1
16-4/6-0
12/6
m=2
then use the equation to find the answer
y-y1=m(x-x1)
y-4=2(x-0)
y-4=2x-0
y=2x-4
The ages of several trees in a park are shown below:
2 years, 28 years, 2 years, 20 years, 22 years
What is the mean age of these trees?
56 years
12 years
14.8 years
26 years
Answer:
C or 14.8
Step-by-step explanation:
You just find the mean.
Arrange the numbers, add them then divide by the amount of numbers.
Hope it helps c:
if x ---> y and y --> z , which statement would be true
Answer:
Both the statements can be true
Step-by-step explanation:
this means x---> z
PLEASE HELP!
The distance to the nearest exit door is less than 100 feet.
Use d to represent the distance (in feet) to the nearest exit door.
Answer:
d < 100
Step-by-step explanation:
the distance is less than (<) 100 ft
d < 100
The sentence translates to the inequality d < 100
There's not much else to say about this problem. We just simply replace the "less than" wording with its corresponding symbol. We can think of the inequality sign as an alligator mouth that always wants to eat the larger value (so the open ended side is facing toward the larger value).
Please help. Somebody give an answer to this question please. I need a step by step explanation as well.
Answer:
15d² + 7d - 4
Step-by-step explanation:
Distribute
(5d + 4)(3d -1)
5d (3d - 1) + 4(3d - 1)
Distribute
15d² - 5d + 4(3d- 1)
Distribute
15d² - 5d + 12d- 4
Simplify
15d² + 7d - 4
A block has a mass of 880g and a volume of 80 cm Calculate the density
Answer:
Density formula (p=m÷v). ---[ p= Density, m= Mass, v= volume]
so, 880g/80cm³
=11gcm³
The perimeter of a rectangular garden is 4534 m. The length is 1125 m more than thrice the width. Find the length and the width of the rectangular garden. (Estimate to the nearest tenths place and verify the reasonableness).
Answer:
length = 1696 m
breadth = 571 m
Step-by-step explanation:
perimeter = 4534 m
let breadth be b
so length = b + 1125 m
so
perimeter of rectangular garden = 2(l+b)
4534 m = 2(b+1125m+b) {substituting the value}
or, 4534 m = 2(2b+1125m)
or, 4534 m = 4b + 2250 m
or, 4534 m - 2250m = 4b
or, 2284m = 4b
or, b = 2284m/4
so, b = 571m
so, l = b + 1125 m
= 571 m + 1125m
= 1696 m
The two-way table shows information about the languages studied b
some people.
French
German
Spanish
Total
Male
12
9
16
37
Female
16
11
16
43
Total
28
20
32
80
a
a)
How many people are female OR study French OR both?
Answer:
Step-by-step explanation:
1
There are 71 people who are female OR study French OR both.
To find the number of people who are female OR study French OR both, we need to add the numbers in the Female row (excluding the "Total" column) and the numbers in the French column (excluding the "Total" row), and then subtract the number of people who study both French and are female, as they were counted twice.
Number of people who are female = 43
Number of people who study French = 28
Number of people who study both French and are female = 16
Total = Number of people who are female + Number of people who study French - Number of people who study both French and are female
Total = 43 + 28 - 16
Total = 71
So, there are 71 people who are female OR study French OR both.
To know more about people here
https://brainly.com/question/13604758
#SPJ2
Câu 1: Trong các mệnh đề sau, mệnh đề nào là không đúng ?
A. Nếu a // b và (α) vuông góc a thì (α) vuông góc với b
B. Nếu (α) // (β) và a vuông góc với (α) thì a vuông góc với (β)
C. Nếu a và b là hai đường thẳng phân biệt và a vuông góc (α), b vuông góc với (α) thì a // b
D. Nếu a // (α) và b vuông góc a thì b vuông góc (α)
Answer:
Hey can you ask this question in English so I can no answer this question in English and then you can convert that my answer in your language as you're I'm Indian so I don't know this language
Step-by-step explanation:
Please don't you think that I'm doing this for points I think I should know this question so can you please answer this you're this and English
Please help ASAP
Which pairs of rectangles are similar polygons?
Answer:
D is the answer
Step-by-step explanation:
39 is 3 times greater than 13 and 27 is 3 times greater than 9
Câu 1: Giá trị
2
3
2020 -5 lim
- 2020
n
n n
bằng:
A.
2.
B.
.
C.
0.
D.
2
.
3
Answer:
i dont understan your language plz speak in englosh
what is the equation of linear regression that fits the data
Answer:
Option D
Step-by-step explanation:
From the table attached,
Ordered pairs to be plotted → (1, 472.08), (2, 454.26), (3, 444.95), (4, 439.49), (5, 436.55)
By using linear regression calculator,
Equation of the regression line → y = -8.583x + 475.215
Option D will be the answer.
Venn diagram of b union b
Answer:
let b union b be
B={2,4,6,8} and B= {1,2,3,4,5}
then B union B = {1,2,3,4,5,6,8}
Step-by-step explanation:
Venn diagram of b union b is in the attachment
Hope it is helpful to you
b)
Diberi bahawa ungkapan surd
1+3
adalah sama dengan P-Q dengan keadaan P
1-3
dan Q adalah pemalar. Cari nilai bagi P4Q
Given the expression of surd
1+√3
is equal to P - where P and Q are constants. Find
1-73
the value of P+Q.
[4 m ]
anyone please help me with this question I will give brainliest if you got the right answer
Jawapan / Answer:
Answer:
P + Q = 1
Step-by-step explanation:
Given: [tex]\frac{1+\sqrt{3} }{1-\sqrt{3} }[/tex] = P - [tex]\sqrt{Q}[/tex]
This is a question on surd, so we need to rationalize the denominator to have;
[tex]\frac{1+\sqrt{3} }{1-\sqrt{3} }[/tex] * [tex]\frac{1+\sqrt{3} }{1+\sqrt{3} }[/tex] = [tex]\frac{1+\sqrt{3}+\sqrt{3} + 3}{1+\sqrt{3}-\sqrt{3} -3 }[/tex]
= [tex]\frac{4+ 2\sqrt{3} }{1-3}[/tex]
= [tex]\frac{4+2\sqrt{3} }{-2}[/tex]
= -2 - [tex]\sqrt{3}[/tex]
Thus,
-2 - [tex]\sqrt{3}[/tex] = P - [tex]\sqrt{Q}[/tex]
⇒ P = -2 and Q = 3
Therefore, the value of P + Q = -2 + 3
= 1
Thus,
P + Q = 1
en una carrera de 5 vueltas de la F1 online el jugador 1 consigue un tiempo de 2,32 minutos y el jugador 2 consigue 18 segundos mas que el jugador 1 en la segunda vuelta el jugador 1 obtiene un tiempo de 2,52 minutos y el jugador 2 20 segundos menos que el jugador 1, en la tercera vuelta ambos jugadores consiguen un tiempo de 2,18 minutos ¿Cual es la diferencia en el tiempo total de la carrera entre los jugadores 1 y 2?
Answer:
La diferencia del tiempo total de carrera entre el jugador 1 y 2 es 0.0[tex]\overline 3[/tex] minutos
Step-by-step explanation:
Primera vuelta;
El tiempo de vuelta del jugador 1 = 2,32 minutos
El tiempo de vuelta del jugador 2 = 18 segundos más que el del jugador 1
Por lo tanto, el tiempo de vuelta del jugador 2 = (2,32 + 18/60) minutos = 2,62 minutos
Segunda vuelta
El tiempo de vuelta del jugador 1 = 2,52 minutos
El tiempo de vuelta del jugador 2 = 20 segundos menos que el del jugador 1
Por lo tanto, el tiempo de vuelta del jugador 2 = (2.52 - 20/60) minutos = 2.18[tex]\overline 6[/tex] minutos
Tercera vuelta
El tiempo de vuelta del jugador 1 = 2,18 minutos
El tiempo de vuelta del jugador 2 = 2,18 minutos
El tiempo de vuelta total del jugador 1 = (2,32 + 2,52 + 2,18) minutos = 7,02 minutos
El tiempo de vuelta total del jugador 2 = (2,62 + 164/75 + 2,18) minutos = 524/75 minutos = 6.98[tex]\overline 6[/tex] minutos
La diferencia del tiempo total de carrera = (7.02 - 524/75) minutos = (1/30) minutos = 0.0[tex]\overline 3[/tex] minutos
question on image
....
Answer:
1/5
Step-by-step explanation:
8/40->4/20->2-10->1/5
Hope this helps!
Answer:
1\5
Step-by-step explanation:
8/40 = 4/20 = 2/10 = 1/5
Mackenzie is designing a rectangular greenhouse. Along one wall is a 7-foot storage area and 5 sections for different kinds of plants. On the opposite wall is a 4-foot storage area and 6 section for plants. All the plant sections are equal length. What is the length of the wall?
Answer:
3 ft
Step-by-step explanation:
4 + 6x = 7 + 5x
6x - 5x = 7 - 4
x = 3
I need help on this this is very hard. I need the answer right now. Wrong answer=report
The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO
Answer:
[tex]\angle PRQ = 80[/tex]
Step-by-step explanation:
Given
[tex]\angle SPR = 145^o[/tex]
[tex]\angle POT = 115^o[/tex]
See attachment
Required
Find [tex]\angle PRO[/tex]
First, calculate [tex]\angle RPO[/tex]
[tex]\angle RPO + \angle SPR = 180[/tex] --- angle on a straight line
So, we have:
[tex]\angle RPO + 145 = 180[/tex]
Collect like terms
[tex]\angle RPO = 180 - 145[/tex]
[tex]\angle RPO = 35[/tex]
Next, calculate PQR
[tex]\angle POR + \angle POT = 180[/tex]
So, we have:
[tex]\angle POR + 115 = 180[/tex]
Collect like terms
[tex]\angle POR = 180-115[/tex]
[tex]\angle POR = 65[/tex]
So, PRO is calculated as:
[tex]\angle PRO + \angle POR + \angle RPO = 180[/tex] --- angles in a triangle
So, we have:
[tex]\angle PRO + 65 + 35= 180[/tex]
[tex]\angle PRO + 100= 180[/tex]
Collect like terms
[tex]\angle PRO = 180-100[/tex]
[tex]\angle PRO = 80[/tex]
Find the missing variables
Answer:
90
Step-by-step explanation:
Answer:
[tex] \cos(60) = \frac{9}{a} \\ \frac{1}{2} = \frac{9}{a} \\ a = 18 \\ \\ \\ \tan(60) = \frac{b}{9} \\ \sqrt{3} = \frac{b}{9} \\ b = 9 \sqrt{3} [/tex]
I hope I helped you ^_^
Explain the relationship of the meaning of the word isometric to the properties of an isometric or rigid transformation
Step-by-step explanation:
The iso parts of isometric means same, and It is similar becuase rigid trtransformation and the metric parts means measure. Basically isometric means same measure. Rigid transformation preserve "same measures" like angles and side lengths.
(x⁴ + 3x³ – 2x² + 5) + (2x⁴ – 5x³ + 4x – 15).
Answer:
[tex]\left(x^4+3x^3-2x^2+5\right)+\left(2x^4-5x^3+4x-15\right)[/tex]
[tex]=[/tex] [tex]x^4+3x^3-2x^2+5+2x^4-5x^3+4x-15[/tex]
[tex]=x^4+2x^4+3x^3-5x^3-2x^2+4x+5-15[/tex]
[tex]=x^4+2x^4-2x^3-2x^2+4x+5-15[/tex]
[tex]=3x^4-2x^3-2x^2+4x+5-15[/tex]
[tex]=3x^4-2x^3-2x^2+4x-10[/tex]
[tex]OAmalOHopeO[/tex]
Calculate the volume of each solid. Use 3.14 for pi. Round answers to the nearest whole number.
Answer:
See below.
Step-by-step explanation:
Rectangle Volume = Length x Width x Height
Rectangle Volume = 15 x 6 x 8
Rectangle Volume = 720 in^2
Cube volume = s^3
Cube volume = 9^3
Cube volume = 729
Cylinder Volume = [tex]\pi[/tex]r^2h
Cylinder Volume = [tex]\pi[/tex]4^214
Cylinder Volume = [tex]\pi[/tex]1614
Cylinder Volume = [tex]224\pi[/tex]
Answer
720, 729, 703
Step-by-step explanation:
your welcome
