Answer:
letter A
Step-by-step explanation:
because that's my favorite letter
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.)
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
Please help me on these :(
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.
The sum of two numbers is 70, and their difference 30. Find the two numbers using the process of substitution. Let the first umber = x and the second number = y.
Answer:
x = 50, y = 20.
Step-by-step explanation:
x + y = 70
x - y = 30
From the second equation x = 30 + y, so substituting this in the first equation:
30 + y + y = 70
2y = 70 - 30 = 40
y = 20
and x - 20 = 30
so x = 50.
Answer:
20 , 50
Step-by-step explanation:
The sum of two numbers is 70 ⇒ x + y = 70 -------------(I)
x = 70 - y
Their difference 30 ⇒ x - y = 30 ----------(II)
Substitute x = 70 - y in equation (II)
70 - y - y = 30
Combine like terms
70 - 2y = 30
-2y = 30 - 70
-2y = -40
Divide both sides by (-2)
y = -40/-2
x = 20
Substitute the value of x in (I)
20 + y = 70
y = 70 - 20
y = 50
Work out 1.6 X 10⁴ + 0.8 X 10⁴.
math work
Answer:
2.4× 10^4
Step-by-step explanation:
you just sum 1.6 with 0.8
[tex]2.4 \times {10}^{4} [/tex]
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.
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
Find the y intercept for the equation of the line that passes through point (-1 , 5)if the slope is 5
Answer:
the y-intercept is 10
Step-by-step explanation:
#2
Are the following triangles similar?
Please help!!
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.
The length of a rectangle is 2x + 6. Its width is 52. Find the value of ac if the perimeter is 138m².
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
Brainiest?!?! Please help me I'm running out of time??
What equation in Slope-Intercept Form represents the line that passes through the points ( -3,3) and ( 1,2)?
how to do precentiges
What is the solution to the equation? ^5 /x+ 7= -2
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
Hello if you answer this question i will post another question giving 100 points
Answer:
ok?
Step-by-step explanation:
Brainliest?Answer:
what's your question even-
If f(x)= 3x-2 find x if f(x)= 19
Answer:
x=6
Step-by-step explanation:
3(6)+1=18+1=19.
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.
Answer:
the answer is Y = -1.5x + 36
Johnny is saving money to buy a Nintendo Switch. He already has $100 saved. He plans to save $20 from his allowance each week. Write the equation that represents the total savings, y, in terms of x weeks. What is Johnny's total savings after 8 weeks?
Answer:
1. y=20x+100(this is the equation)
2. 260(this is how much he has after 8 weeks)
Step-by-step explanation:
Saving is the remaining money after all the expenditure. Thus, Johnny's total savings after 8 weeks will be $[tex]260[/tex].
Johnny is saving money to buy a Nintendo Switch.
He already saved the amount of $100.
He plans to save from his allowance each week is $20
The equation that represents the total savings is mentioned below.
[tex]y=20x+100[/tex]
Therefore, Substitute the values and solve them further.
[tex]y= (20\times 8) + 100[/tex]
[tex]y= 260[/tex]
Hence, Johnny's total savings after 8 weeks will be $[tex]260[/tex]
For more details refer to the link given below:
https://brainly.com/question/7965246
I need help Please!!!!!!!!!!!!!!!!!!!!!!! I will give brain to who ever gets it right
Answer: i think its all of them are 5
Step-by-step explanation: sorry if im wrong
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.
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.
−3x+9−2x=−12−5x infinitely,no solutions,one solution
Answer:
No solution
Step-by-step explanation:
Each side of the equation,once distributed, has 5x.
The 5x's cancel out to x= x-5
Which is incorrect and has no solution.
Complete the following tables by filling in the missing values and determine the rule for each table:
help with the geometry pls and thx
Answer:
1. p->q
2. p<->q
3. :.p^q
Step-by-step explanation:
I hope this will help you
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.
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
Use number line to compare the numbers
0 and - 60
Which shows the correct symbol to compare the numbers?
=
>
Answer:
0 > -60
Step-by-step explanation:
Every negative number is less than 0
4.51 - 2.7 MARKING BRAINLIEST AND PLEASE EXPLAIN:)
Answer:
1.81
Step-by-step explanation:
becase 4.51 -2.7 equls 1.81 its kinda simple
Answer:
Answer is 1.81
Step-by-step explanation:
The way you get this is by subtracting normally.⤵⤵⤵
[tex] \: \: \: \: 4.51 \\ \frac{ - 2.70}{} [/tex]
1 - 0 = 1
Since you can't subtract 7 from 5 you have to carry over from the next number (4). Take from 4, that leaves 3 in its place, and now you got an extra 1, so you can subtract 7 from 15 to get 8. Now subtract 2 from that 3 to get 1. That's how you get the answer 1.81 .
It's basically a normal subtraction problem, you just have to Remember to put the decimal point in the right place.
Hope this helped :)
if M is a multiple of 3 and 7 then it is a multiple of 21
Answer:
It will be true , it is a multiple of 21
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
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
I need help with this can you show me how to work it out pls
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)
[tex]( - 2 \\ \times \frac{1}{5} )[/tex]
[tex] \times [/tex]
[tex] ( - 5 \frac{3}{4} )[/tex]
put the answer as a mixed number please
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]
Solve 3x^2+ 5 = 2 using square roots
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 type of angles are these?
Vertical angles
Complementary angles
Adjacent angles
Supplementary angles
Linear pair
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