What are the coordinates of the vertex for f(x) = x2 + 4x + 10?
(2, 2)
(2,6)
(-2, 2)
(-2, 6)
Answers
9514 1404 393
Answer:
(d) (-2, 6)
Step-by-step explanation:
We can rewrite the function using vertex form.
f(x) = (x^2 +4x) +10
f(x) = (x^2 +4x +4) +10 -4 . . . . . . . add and subtract (4/2)^2
f(x) = (x +2)^2 +6
Compare to vertex form:
f(x) = (x -h)^2 +k
we see that (h, k) = (-2, 6) . . . . the vertex
_____
Additional comment
The value added and subtracted is the square of half the x-coefficient. Inside parentheses, that value "completes the square". Outside parentheses, that value ensures the overall function remains unchanged.
Related Questions
Find the missing angle measure 130
Answers
Answer:
x=15
Step-by-step explanation:
Hello there!
the whole angle measure is 89
the given angles are 44 and 30
we need to find x
to do so we subtract the given angles from the total angle measure
x=89-44-30
x=15
A linear sequence (i.e. where the 1st difference is always the same) has 5th term 6 and 92nd term 354. What is the 57th term?
Answers
Answer:
I dont know xDDDDDDDDDD
Answer:
a₅₇ = 214
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ = 6 and a₉₂ = 354 , then
a₁ + 4d = 6 → (1)
a₁ + 91d = 354 → (2)
Subtract (1) from (2) term by term to eliminate a₁
0 + 87d = 348
87d = 348 ( divide both sides by 87 )
d = 4
Substitute d = 4 in (1) and solve for a₁
a₁ + 4(4) = 6
a₁ + 16 = 6 ( subtract 16 from both sides )
a₁ = - 10
Then
a₅₇ = - 10 + (56 × 4 ) = - 10 + 224 = 214
Helppp plzzz I will mark brainliestttt
Answers
Answer:
23.8 km
Step-by-step explanation:
What is the value of x? (SOMEONE PLEASE HELP ME OUT BRO PLEASEEEEE IGNORE THE 9 smh)
Answers
Answer:
x=28
Step-by-step explanation:
Sum of all the angles in the triangle add up to equal 180
90 + x + 6 + 2x = 180
combine like terns
96 + 3x = 180
subtract 96 from each side
180-96=84
96-96 cancels out
3x=84
divide each side by 3
84/3=28
3/3 cancels out
x=28
The1AndOnlyMarkus
=========================================
Explanation:
The quadrilateral shown is a kite since we have adjacent sides that are the same length (due to the similar tickmarks). The diagonals of any kite intersect to form a 90 degree angle.
The triangle in the lower left corner has the three angles of
90x+62xThose three interior angles must add to 180. This is true of any triangle.
90+(x+6)+(2x) = 180
3x+96 = 180
3x = 180-96
3x = 84
x = 84/3
x = 28
Liu Tse is 6 years older than four times the age of her daughter, Lan. Lan will be 9 years old in 3 years.
Answers
Answer:
Well, you have given some information, but you have not said what we are looking for. So, what is the question?
Step-by-step explanation:
Answer:
Liu Tse is 30 years oldStep-by-step explanation:
Lan will be 9 years old in 3 years, so Lan is:
9 - 3 = 6 years old
four times the age of the daughter: 4×6 = 24
6 years older than four times the age of Lan: 24 + 6 = 30
What is the area? in square yards.
Answers
Answer:
260 square yards
Step-by-step explanation:
(9+17/2)*20
Helppppp what is the answerrrr????
Answers
just multiply all the digits
Help me
How do u do this
Answers
Answer:
second one and I don't know how to do it sorry is it a
Step-by-step explanation:
can you help me with my question
3/4( x + 8 )=9 Solve for x: x=
Answers
Answer:
4
Step-by-step explanation:
Multiply 4/3 to both sides to cancel out the 3/4 on the left.
Next, subtract 8 from both sides to cancel out the 8 on the left.
This should result in the equation x = 4!
Answer:
x = 4
Step-by-step explanation:
3/4 times x = 3/4x
3/4 times 8 = 6
9 - 6 = 3
3 / (3/4) = 4
I hope this helps :)
A cell phone costs $750 and loses 28% of its value each year. What is the value of the phone after 2 years?
Answers
Answer:
the answer is 915
Step-by-step explanation:
tell me if I'm wrong okay
The actual distance between two villages is 120 kilometers. On a map of the area, 0.5 centimeter represents 2 kilometers.
What is the distance between the villages on the map?
Enter your answer in the box.
Answers
Answer:
30 centimeters
Step-by-step explanation:
I hope this helps
Answer:
what he said
Step-by-step explanation:
I think you might need Desmos for graphing?? Explain your answer!
Answers
Yes you are correct! This equation will make a parabola. The width when the arch is at ground level would be the x-intercepts, or zeros, of the parabola.
The vertex point is (0,12)
the axis of symmetry is 0
The zeros are (-4,0) and (4,0)
using the zeros take away the negative because something cant be negative feet wide and add the numbers together (4+4)
Your answer is 8
i attached the graph
Hope this helps you!
P.S. Can i get brainliest? :)
Evaluate the series 4 + 8 + 16 to S6.
Answers
the cost of 3 DVDs and 4 CDs £62.00. the cost of 4 DVDs and 3 CDs is £64.00.find the cost of each.
hellllp
Answers
Answer:
x = 10; y = 8
Step-by-step explanation:
Let
DVDs = x
CDs = y
3x + 4y = 62 (1)
4x + 3y = 64 (2)
Multiply (1) by 4 and (2) by 3 to eliminate x
12x + 16y = 248 (3)
12x + 9y = 192 (4)
Subtract (4) from (3)
16y - 9y = 248 - 192
7y = 56
y = 56/7
y = 8
Substitute y = 8 into (1)
3x + 4y = 62
3x + 4(8) = 62
3x + 32 = 62
3x = 62 - 32
3x = 30
x = 30/3
x = 10
x = 10; y = 8
2.In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.
What is the length, in centimeters, of AC?
ASAP BEFORE TOMORROW 11
Answers
Answer:
AC = 12
Step-by-step explanation:
From the question, we have that BD is perpendicular to AC
This means that it is at 90 degrees to the base
so we have two similar right triangles
Let us use Pythagoras’ theorem to get the measure of one of the legs (AD and DC)
Let us call the leg x
We have the Pythagoras’ theorem stating that the square of the hypotenuse (the side facing the right angle; 10 here) is equal to the sum of the squares of the two other sides
10^2 = x^2 + 8^2
100 = x^2 + 64
x^2 = 100-64
x^2 = 36
x = √36
x = 6
AD = DC = 6
AC = 2 * AD
AC = 2 * 6
AC = 12
2% of the ducks in a pond have a fluffy tail. If 4 ducks have a fluffy tail, how many ducks are in the pond. Please answer best answer gets brainliest.
Answers
Answer:
200
Step-by-step explanation:
just look up 2% of 4 is what and you will get the same answer
what are three ratios that are equivalent to 6/7
Answers
14 and 21 and 18
is three of them
Answer: 6/7 (2/2) = 12/14
(3/3) = 18/21
(4/4) = 24/28
Ayuda es para un examen
Answers
Ashley has x dollars. She spends $23.50 on a new top. She decides to keep 2/5 of what she has left, which is $13.80. How many dollars did Ashley have originally?
Answers
Answer:
23.50 + 13.8+ 37.3
Hope this helps!
Step-by-step explanation:
Answer:
She originally had $58.
Step-by-step explanation:
1/6 divided 3, 3 divided 1/6
Answers
1. 0.555555556
2. 18
Remember: Calculators exist lol.
Answer:
1. 0.555555556
2. 18
Step-by-step explanation:
bonjour, j’ai un dm de math mais je ne comprends pas :
La mère de Julien lui a choisi un forfait de téléphone mobile
à 14,90 €. Elle explique à son fils que, pour ce prix, il peut téléphoner
60 minutes et envoyer 30 SMS. S'il dépasse son forfait, cela lui
coûtera 0,36 € par minute supplémentaire et 0,12 € par SMS
supplémentaire.
On note t (en minutes) la durée totale pendant laquelle Julien a téléphone et s le nombre total
de SMS qu'il a envoyés. En supposant que Julien dépasse à la fois les 60 min et les 30 SMS de son
forfait :
1) Exprimer en fonction de t (resp. en fonction de s) la somme supplémentaire que devra payer
Julien en ce qui concerne ses appels (resp. en ce qui concerne ses SMS).
2) En déduire l'expression, en fonction de t et s, de la somme totale que devra payer Julien
en cas de dépassement de son forfait tant au niveau des appels que des SMS.
3) Au cours des quatre derniers mois, Julien a répertorié dans un tableau ce qu'il a exactement
consommé. Recopier et compléter son tableau.
Temps de communication
(en minutes)
75
65
Mai
Juin
Juillet
Août
Nombre de SMS envoyés Prix à payer (en euros)
35
41
47
50
80
87
Answers
Answer:
the answe're is that i don't underatamd the language first
60,221,229 is a Pythagorean triple
Answers
find area of circle
Answers
Answer and Step-by-step explanation:
Plug in 4 for r, since 4 is half of 8, and 8 is the diameter, and the radius is half of the diameter.
We get the answer to be [tex]16\pi[/tex], or 50.2655.
#teamtrees #PAW (Plant And Water)
Answer:
Area of circle= πr² ( use 3 for π)
=3*4*4
= 48in² is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
Alex has 128 photos of his friend to display equally in 4 photo albums. Which equation can you use to find how many will be in each album?
Answers
Answer:
128 ÷ 4 = [tex]\frac{128}{4}=32[/tex]
Step-by-step explanation:
Total number of photos = 128
Number of photo albums = 4
Alex has 128 photos of his friend to display equally in 4 photo albums.
Equation that can be used to find number of photos in each album =
Number of photo albums ÷ Total number of photos
= 128 ÷ 4
= [tex]\frac{128}{4}=32[/tex]
Yesenia buys milk to make milkshakes for all her friends. She buys 1 quart of milk and
1/2 gallon of milk. How many cups of milk does she buy?
Answers
Answer:
12 CUPSExplanation:
1 quart = 4 cups
1 gallon = 16 cups
Yesenia buys 1 quart -> 4 cups
AND 1/2 a gallon -> 8 cups
4 cups from quart + 8 cups from 1/2 gallon = 12 cups total!
Bill tiene un trabajo a tiempo parcial y le pagan cada hora la misma cantidad. Cada hora que trabaja aparta $6 para dárselos a su mamá. Bill trabaja 3 horas al día y la cantidad total con que se queda cada día es $24. ¿Cuánto le pagan cada hora?
Answers
Answer:
A Bill le pagan $14 cada hora.
Step-by-step explanation:
Para conocer la cantidad que a Bill le pagan cada hora, se define una ecuación.
Una ecuación es la igualdad existente entre dos expresiones algebraicas conectadas a través del signo de igualdad en la que figuran uno o varios valores desconocidos, llamadas incógnitas, además de ciertos datos conocidos. Es decir, una ecuación se define como una igualdad establecida entre dos expresiones, en la cual puede haber una o más incógnitas que deben ser resueltas.
En este caso, es conveniente definir la siguiente incógnita:
x: cantidad que le pagan a Bill cada horaSi cada hora que trabaja Bill aparta $6 para dárselos a su mamá, entonces cada hora recibirá: x - 6
Bill trabaja 3 horas al día, por lo que en ese día recibirá 3horas*(x-6). Y si la cantidad total con que se queda cada día es $24, entonces la ecuación a resolver será:
3*(x -6)= 24
Resolviendo, obtienes:
3*x - 3*6= 24
3*x - 18= 24
3*x= 24 +18
3*x= 42
x= 42÷ 3
x= 14
Entonces, a Bill le pagan $14 cada hora.
Select all true statements about the following parallelogram
Answers
Answer:
Step-by-step explanation:
Chad hiked to a famous point with a beautiful view. It took 1 hour and 15 minutes to hike to the viewpoint and 30 minutes to hike back. Chad spent 1 hour enjoying the view at the top. He finished the hike at 4:00 P.M. What time did Chad start the hike to the viewpoint?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answers
Answer:
Step-by-step explanation:
t+1.25+.5+1=4
t=1.25 hours, .25hr=15 minutes so Chad started at
1:15p.m.
In a certain Algebra 2 class of 30 students, 8 of them play basketball and 10 of them
play baseball. There are 18 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Answers
the ratio is 8:10
12 students dont play
18-12 = (6)
please help me it is timed and i am running outta time
Answers
Answer:
In ∆RST and ∆XYZ
RS=YZ(S)
angle RST=angle XYZ(A)
ST=YZ(S)
hence ∆RST ≠~∆XYZ