Answers
Answer:
3
Step-by-step explanation:
[tex]y - 3 = n(x - 5)[/tex]
[tex]3 - 3 = n(5 - 5) \\ 0 = n * 0[/tex]
[tex]12 - 3 = n(8 - 5) \\ 9 = n * 3 \\ n = 3[/tex]
Related Questions
help me
The fire department is setting off fireworks. They notice that the casings of the fireworks hit the ground 78 seconds after the firework was launched. The firework exploded at a maximum height of 760.5 meters.
Identify how you see the x- and y-intercepts and vertex in the table, graph, and equation. (Hint: You may want to rewrite the equation in equivalent forms.)
Answers
The firework is an illustration of the equation of a parabola.
The x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)
The casings hit the ground after 78 seconds.
This means that, a point on the graph is:
[tex]\mathbf{(x,y) = (78,0)}[/tex]
The firework exploded at a maximum of 760.5.
This means that, the vertex is:
[tex]\mathbf{(h,k) = (39,760.5)}[/tex]
The equation of a parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
So, we have:
[tex]\mathbf{0 = a(78 - 39)^2 + 760.5}[/tex]
[tex]\mathbf{0 = a(39)^2 + 760.5}[/tex]
Subtract 760.5 from both sides
[tex]\mathbf{a(39)^2 =- 760.5}[/tex]
[tex]\mathbf{1521a =- 760.5}[/tex]
Solve for a
[tex]\mathbf{a =- \frac{760.5}{1521}}[/tex]
[tex]\mathbf{a =- 0.5}[/tex]
Substitute [tex]\mathbf{a =- 0.5}[/tex] and [tex]\mathbf{(h,k) = (39,760.5)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex]
See attachment for the graph of [tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex].
From the graph:
The x and y intercepts are the points where the graph crosses the x and y axes. The vertex is the maximum point on the graphFrom the equation:
Set x to 0, to calculate the value of y for the y-interceptSet y to 0, to calculate the value of x for the x-intercept.The vertex is represented as: (h,k)Hence, the x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)
Read more about parabolas at:
https://brainly.com/question/5430838
Work out 1.6 X 10⁴ + 0.8 X 10⁴.
math work
Answers
Answer:
2.4× 10^4
Step-by-step explanation:
you just sum 1.6 with 0.8
[tex]2.4 \times {10}^{4} [/tex]
There are 75 students enrolled in a camp. The day before the camp begins, 8% of the students cancel. How many students actually attend the camp?
Answers
Answer:
Answer=69
Step-by-step explanation:
8% of 75=6
75-6=69
What equation in Slope-Intercept Form represents the line that passes through the points ( -3,3) and ( 1,2)?
Answers
Hello if you answer this question i will post another question giving 100 points
Answers
Answer:
ok?
Step-by-step explanation:
Brainliest?Answer:
what's your question even-
The sum of the first n terms of a sequence is Sn = n(n + 1)(n + 2).
What is the 4th term of the sequence?
O 48
O 120
O 60
O 396
Answers
Answer:
60
Step-by-step explanation:
S₄ = 4(4+1)(4+2) = 120
S₃ = 3(3+1)(3+2) = 60
4th term = 120-60=60
Solve 3x^2+ 5 = 2 using square roots
Answers
Answer:
[tex]x=\pm i[/tex]
Step-by-step explanation:
[tex]3x^2+5=2[/tex]
[tex]3x^2=-3[/tex]
[tex]x^2=-1[/tex]
[tex]x=\pm i[/tex]
What is the solution to the equation? ^5 /x+ 7= -2
Answers
Answer:
x=19/2
Step-by-step explanation:
5/x+7=-2
5=-2(x+7)
5=-2x-14
5+14=-2x
19=-2x
Therefore
2x=-19
x=19/2
Complete the following tables by filling in the missing values and determine the rule for each table:
Answers
Gabriella swims 2 laps per minute. What is the rate unit?
laps per minute
laps
1
2
Answers
Answer:
2
Step-by-step explanation:
Answer:
Laps per minuet
Example:
You are traveling at a rate of 45 miles per hour (or mph). Determine the unit rate and the rate unit.
Solution:
45 is the numerical part of the rate, or the unit rate.
Miles per hour is the unit part of the rate, or the rate unit.
Brainiest?!?! Please help me I'm running out of time??
Answers
And if x is less than y, any negative y would mean x is negative as well since it’s always less than y. And as shown, x+y is positive so it’s impossible for y to be negative.
can anyone plz tell me how to lucid dream tonight without an alarm im 13 and i never had one ill give brainliet
Answers
get a journal and pencil and when you go to sleep, don't put on any alarms. then write down in the morning what you dreamt about. every detail you can thing of. if you have the dream again, write down more details. this will help you begin to lucid dream.
pls help
Given the first term and the common difference of an arithmetic sequence, find the
explicit formula, then find the term named in the problem.
Answers
Answer:
Step-by-step explanation:
an (the nth term ) = a1 + d(n - 1)
= 6 + 3(n - 1).
a17 = 6 + 3(17-1)
= 6 + 48
= 54.
I need help with this can you show me how to work it out pls
Answers
Answer:
Answer is in the pic
Step-by-step explanation:
A translation is just a movement of the figure so in this case you just add 3 to the x part of the coordinate.
so originally k (-2,5) m (-3,1) l (1,1)
add 3 to x so
k (1,5) m (0,1) l (4,1)
#2
Are the following triangles similar?
Please help!!
Answers
Answer:
Yes
Because
[tex] \frac{pn}{kr} = \frac{pt}{kg} = \frac{tn}{gr} = \frac{1}{2} [/tex]
Also all angles are equal
Answer:
Yes
Step-by-step explanation:
Angle are equal and the ratio of the sides is 2:1.
how to do precentiges
Answers
Please help me on these :(
Answers
Step-by-step explanation:
8) 125=x+90° (exterior angle= sum of two opposite interior angle)
x= 35°
9) y=80° ( vertically opposite angle)
x= 180-50-80= 50°.
hope this helps you.
In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.
1. What is the total number of pupils who study Government?
2. How many pupils study only Government?
3. How many pupils study only Economics?
Please try as much as possible to explain your answers.
Answers
Answer:
19
Step-by-step explanation:
(48 - 23) + 6 = 31
23 - 6 = 17
(48 - 23) -6 = 19
The answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
It is given that:
In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.
Based on the information we can draw a Venn diagram:
From the Venn diagram:
A + B = 17 + 6
A + B = 23
B = 6
A + B + C = 48
A = 23 - 6 = 17
C = 48 - 17 - 6
C = 25
The total number of pupils who only study Government = 25
The total number of pupils who study Government = 25 + 6 = 31
The total number of pupils who study Economics only = 17
Thus, the answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.
Learn more about the Venn diagram here:
brainly.com/question/1024798
#SPJ2
which is greater -5/8 or 6/10 and why
Answers
Answer:
The answer is -5/8, smaller fractions are always closer to a whole number which make them more, another way to look at it is 5 is 3 numbers away from 8, and 6 is 4 numbers away from 10, which makes -5/8 greater.
Hope this helps!
If f(x)= 3x-2 find x if f(x)= 19
Answers
Answer:
x=6
Step-by-step explanation:
3(6)+1=18+1=19.
PLEASE HELP WILL MARK BRAINLIEST!
Answers
Answer:
2 x 4 − x 3 + x 2 − 9
Step-by-step explanation:
if M is a multiple of 3 and 7 then it is a multiple of 21
Answers
Answer:
It will be true , it is a multiple of 21
I need help Please!!!!!!!!!!!!!!!!!!!!!!! I will give brain to who ever gets it right
Answers
Answer: i think its all of them are 5
Step-by-step explanation: sorry if im wrong
The length of a rectangle is 2x + 6. Its width is 52. Find the value of ac if the perimeter is 138m².
Answers
Answer:
ac = 18.5
Step-by-step explanation:
perimeter of a rectangle = [tex]2(l+b)[/tex]
= 138m^2= 2(2x + 6 ) + 52
= 4x + 12 + 52 = 138
= 4x + 64 = 138
= 4x = 138 - 64
= 4x = 74
= x = 74/4
= x = 18.5
[tex]( - 2 \\ \times \frac{1}{5} )[/tex]
[tex] \times [/tex]
[tex] ( - 5 \frac{3}{4} )[/tex]
put the answer as a mixed number please
Answers
Answer:
Step-by-step explanation:
[tex](-2)*\dfrac{1}{5}*(-5\dfrac{3}{4})=(-2)*\dfrac{1}{5}*\dfrac{-23}{4}\\\\ = \dfrac{23}{5*2}\\\\=\dfrac{23}{10}\\\\=2\dfrac{3}{10}[/tex]
What type of angles are these?
Vertical angles
Complementary angles
Adjacent angles
Supplementary angles
Linear pair
Answers
Answer:
adjacent angle
Step-by-step explanation:
a linear pair =180 so not it
supplementary and complementary can't be it either due to neither being right angles
not a vertical angle
right next to each other with a common line to connect them so adjacent angle
What equation is equivalent to 4x+3x=7-6
Answers
Answer: A: 3x + 6 = 4x + 7 1: 9x = 4x + 7
B: 3(x+6) = 4x + 7 2: 3x + 18 = 4x + 7
C: 4x + 3x = 7 - 6 3: 3x = 4x + 7
4: 3x - 1 = 4x
5: 7x = 1
Step-by-step explanation:
Here is a list of numbers:
8.4, 8.6, 7, 7.6, 2.4, 9.7, 5.8, 5.2, 3.3
State the median.
Answers
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
arrange the numbers in the other of magnitude
:
2.4,3.3,5.2,5.8,7,7.6,8.4,8.6,9.7
then check for the middle number(s)
median = 7
Find the y intercept for the equation of the line that passes through point (-1 , 5)if the slope is 5
Answers
Answer:
the y-intercept is 10
Step-by-step explanation:
A line passes through point A(12,18). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
Answers
Answer:
the answer is Y = -1.5x + 36