Hey there! I'm happy to help!
First, we'll want to find the vertex of this parabola.
Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always [tex]-\frac{b}{2a}[/tex].
In our equation here, our a is 1 and our b is -2.
[tex]-\frac{-2}{2}=\frac{2}{2}=1[/tex]
Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.
y=1²-2(1)-5
y=1-2+5
y=-1+5
y=4
So, our vertex is at (1,4).
Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.
y=(x-1)²+4
Have a wonderful day and keep on learning! :D
Please help on the question below
Any help is appreciated, thank you:)
Answer:
Here is your answer...
Hope it helps
cos5xcosx-sin5xsinx=??????????????????
Answer:
cos6x.
Step-by-step explanation:
We use the identity
cosAcosB - sinAsinB = cos(A+B)
so cos5xcosx - sin5xsinx = cos(5x + x)
= cos6x.
i need help ;^; please
Answer:
80
Good luck :)
Answer:
80
Step-by-step explanation:
[tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]
[tex]\sqrt{6400}[/tex]
6400 = 2 * 2 * 2 * 2 * 2 * 2 * 2 *2 * 5 * 5
= 2^8 * 5^2
2^4 * 5
16*5 = 80
Reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally,
translate it down 2 units. What is the relationship between the original line segment and the transformed line segment? If you
transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?
select the correct answer
Answer:
B
Step-by-step explanation:
This is a linear function that continues both ways infinitely.
Answer:
B
Step-by-step explanation:
The domain of the function is all real numbers.
Can someone show me how to factor this please?
Answer:
[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]2\sin ^2 \theta + 3\sin \theta + 1 = 0[/tex]
In the interval [0, 2π).
Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:
[tex]\displaystyle 2u^2 + 3u + 1 = 0[/tex]
Factor:
[tex]\displaystyle (2u+1)(u+1) = 0[/tex]
By the Zero Product Property:
[tex]\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0[/tex]
Solve for each case:
[tex]\displaystyle u = -\frac{1}{2} \text{ or } u = -1[/tex]
Back-substitute:
[tex]\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1[/tex]
Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:
[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]
What is 61.12÷3.2 uses to expressions.
Answer:
answer is 19.1
Step-by-step explanation:
answer is 19.1
The longer base of an isosceles trapezoid measures 23 ft. The nonparallel sides measure 9 ft, and the base angles measure 80°. Find the length of a diagonal.
Answer:
Hi,
Step-by-step explanation:
Using Al's kashi theorem,
diag²=9²+23²-2*9*23*cos(80°)=538,109654....
diag=23,197190... (ft)
Plz help me with this binary division whith full process/explanation 1001010 ÷ 101
Answer:
Step-by-step explanation:
Its like doing a long division with base 10 numbers:
1110 <----------- Quotient
101)1001010
101
1000
101
111
101
100
So the answer is 1110 remainder 100.
We can confirm this by converting to decimal numbers
1001010 = 74 and 101 = 5.
74 / 5 = 14 remainder 4.
Pringle's variety pack 18 cups for $6.48 cost per cup
Answer:
0.36
Step-by-step explanation:
Please help me with this problem
[tex] \sqrt{11} \: lies \: between \: 3 \: and \: 4[/tex]
Answer:
Lies between 3&4
See THE IMAGE FOR SOLUTION
A(-2,3)
Triangle ABC has vertices at A(-2,3), B(-3,6), and
C(2,-1) Is triangle ABC a night triangle? If so, which
angle is the night angle?
O No, the triangle has no right angles.
O Yes, the right angle is angle A
O Yes, the right angle is angle B
O Yes, the right angle is angle C
VA
C (2-1)
B (-3,-6)
second choice i’m prolly wrong
( show your work ) Find the total cost of 6 puppies if each pull-ups coast $250
Answer: $1500
Step-by-step explanation:
Given information
Number of puppies = 6
Cost of each puppy = $250
Given expression deducted from the question
Total cost = number of puppies × cost of each
Substitute values into the expression
Total cost = 6 × 250
Simplify by multiplication
Total cost = [tex]\boxed{1500}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Subtract -2x^2+3x-9−2x 2 +3x−9 from 8x^2+10x-108x 2 +10x−10.
I was thrown into this without any help
Please help meeeee!
I'm really in a rush rn!
Answer:
-3.392
Step-by-step explanation:
2.34
1.052
+_____
= 3.392
Find the 68th multiple of 89, if the 69th multiple is 6141.
Answer:
6141 - 89 = The 68th multiple (6052)
PLEASE PLEASE TRANSLATING A SENTENCE INTO AN EQUATION
The difference of Jose's age and 21 is 58
Use the variable j to represent Jose's age.
Answer:
j - 21 = 58
Step-by-step explanation:
happy to help if you have any others i can help you
Answer:
j - 21 = 58
Step-by-step explanation:
Solve the given equation for X.
X/3 + X/7 = 5/3
Answer: x = 3.5
Step-by-step explanation:
Given
x/3 + x/7 = 5/3
Determine the Least Common Multiple (LCM) of the denominators
First 10 multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
First 5 multiples of 7: 7, 14, 21, 28, 35
Since 21 is the first overlapping term in both lists, therefore, 21 is the LCM of 3 and 7.
Multiply Least Common Multiple (LCM) of the denominators on both sides
21 (x/3 + x/7) = 21 × 5/3
Expand parentheses and apply the distributive property
7x + 3x = 35
Combine like terms
10x = 35
Divide 10 on both sides
10x / 10 = 35 / 10
[tex]\boxed {x=3.5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
golf activity geometry
use distance formula
HELP PLEASE n explain if you know!
Answer:
Step-by-step explanation:
The length of a sandbox is three feet longer than its width. What expression would represent the area of the sandbox
Expression represent the area of the sandbox is a² + 3a
GIven that;
Length of sandbox is three feet longer than its width
Find:
Expression represent the area of the sandbox
Computation:
Assume;
Width of sandbox = a feet
So,
Length of sandbox = (a + 3) feet
[tex]Area\ of\ rectangle = Length \times Width[/tex]
So,
Area of the sandbox = Length of sandbox × Width of sandbox
Area of the sandbox = (a + 3) × a
Area of the sandbox = a² + 3a
Learn more:
https://brainly.com/question/23649629?referrer=searchResults
A tree casts a shadow of 45 feet. If the angle of elevation to the top of the tree is 50º,
how tall is the tree?
Answer:
95
Step-by-step explanation:
add 50,45
hey please help i’ll give brain
Hi ;-)
[tex]3\cdot\boxed9=9\cdot3[/tex]
Answer:
3 × 9 = 9 × 3
Step-by-step explanation:
Help
me
please with questions 4, 5 and 6, THANKS
Answer:
hgzzrzdjjhhgccghjvcss
hgvvghjdszschkmbc
Step-by-step explanation:
bbhjvfdseaaasrfhujklknhgcffdzsshbjkhj
hggcfgbjvcfvjjhxsgj
Some math help please?
Answer:
∠ LMP = 77° , ∠ NMP = 103°
Step-by-step explanation:
The 2 angles on the straight line sum to 180° , that is
∠ LMP + ∠ NMP = 180 , substitute values
- 16x + 13 - 20x + 23 = 180 , that is
- 36x + 36 = 180 ( subtract 36 from both sides )
- 36x = 144 ( divide both sides by - 36 )
x = - 4
Then
∠ LMP = - 16x + 13 = - 16(- 4) + 13 = 64 + 13 = 77°
∠ NMP = - 20x + 23 = - 20(- 4) + 23 = 80 + 23 = 103°
Mr. Jones took a survey of college students and found that 60 out of 64 students
are liberal arts majors. If a college has 7505 students, what is the expected
number of students who are liberal arts majors?
HELPPPGPTPPFPPZPSKZJZ
I'll give brainliest!! I put this up nearly an hour ago and got no answers
Answer:
The integers are
1st: n
2nd: n + 1
3rd: n + 2
The words in the problem statement translate into
2(n + 1) = 3(n + 2) + 6
Solve for n.
2n + 2 = 3n + 12
n = -10
n + 1 = -9
n + 2 = -8
Step-by-step explanation:
Could you please solve this problem? Thank you so much.
Step-by-step explanation:
the answer is in the image above
how do you find x the problem is 9x = -22
Answer:
x = -22/9 or, x = -2.44 in decimal form
Step-by-step explanation:
9x = -22
/9 /9 (divide both sides by 9)
-------------
x = -22/9 (when converted to decimal form, you get x = -2.44)