Answer:
(-2,-5)
Step-by-step explanation:
Y=x^2/2 +2x-3
Y=1/2 ×(x+2)^2 -5
a=1/2
h=-2
k=-5
(-2,-5)
The requried vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
To find the vertex of the parabola defined by the equation y = (1/2)x² + 2x - 3, we can use the fact that the vertex is located at the point (-b/2a, f(-b/2a)), where a and b are the coefficients of the quadratic term and the linear term, respectively.
In this case, a = 1/2 and b = 2, so we can substitute these values into the formula to get:
x-coordinate of vertex = -b/2a = -2/(2*1/2) = -2
To find the y-coordinate of the vertex, we can substitute this value of x into the equation and simplify:
y-coordinate of vertex = (1/2)(-2)² + 2(-2) - 3
= 1/2(4) - 4 - 3
= -5
Therefore, the vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
Learn more about parabola here:
brainly.com/question/4074088
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Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the blanks
1: Set up the proportion:
[tex]\frac{9}{6} = \frac{x}{16}[/tex]
2: Use cross product:
[tex]9(16)=6x[/tex]
3: Simplify:
[tex]144 = 6x[/tex]
4: Divide:
[tex]144/6 = 6x/6[/tex]
[tex]24 = x[/tex]
[tex]x =24[/tex]
Answer: 4 cm
Step-by-step explanation:
Which expression is equivalent to
Hey there!
(a^8)^4
= a^(8)(4)
8(4) = 32
= a^32
Answer: a^32
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
State if the two triangles are congruent.
Answer:
The triangles are congruent by HL
Step-by-step explanation:
The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent
We know one leg is equal to the other by the red line. The hypotenuse is the same since it is the same line.
The triangles are congruent by HL
Tony sold t-shirts and hats at the festival. He made a $4 profit for each t-shirt he sold. He also made a profit of $34 from selling hats. If he made a total profit of $106, how many t-shirts did he sell?
Answer:
18 T-shirts
Step-by-step explanation:
$4×18= $72 $72+$34=$106
Let g(x) = 2x and h(x) = x^2 +4 evaluate (h*g)(-2)
Answer:
-32
Step-by-step explanation:
Firstly, what we have to do is to multiply g(x) by h(x)
We have this as;
2x(x^2 + 4)
We then proceed to substitute the value of x with -2 as follows
2(-2)(-2^2 + 4)
= -4(8) = -32
Question 1:
Solve this system of equations using any method.
4x – y = 5
3x + y = 16
a. (3, 5)
b. (4, 11)
c. (4, 4)
d. (3, 7)
Question 2:
Solve the following system of equations.
d + e = 6
d – e = 4
a. no solution
b. (5, 1)
c. (3, –1)
d. infinite number of solutions
Question 3:
Solve the following system of equations by linear combination:
4x + 3y = 12
y = x – 10
a. (3, –7)
b. (6, –4)
c. (–7, 3)
d. (–4, 6)
Answer:
Question 1: d. (3, 7)
Question 2: b. (5, 1)
Question 3: b. (6, –4)
Step-by-step explanation:
Question 1:
Solve this system of equations using any method.
4x – y = 5
3x + y = 16
Add the equations.
7x = 21
x = 3
4(3) - y = 5
-y = -7
y = 7
d. (3, 7)
Question 2:
Solve the following system of equations.
d + e = 6
d – e = 4
Add the equations.
2d = 10
d = 5
5 + e = 6
e = 1
b. (5, 1)
Question 3:
Solve the following system of equations by linear combination:
4x + 3y = 12
y = x – 10
4x + 3y = 12
-x + y = -10
Multiply the second equation by 4 and add to the first equation.
4x + 3y = 12
(+) -4x + 4y = -40
----------------------------
7y = -28
y = -4
-4 = x - 10
x = 6
b. (6, –4)
please help! ten points! thank you
(12 points)Please I need this answer right away multiple-choice answer trolls will be reported thank you lovesss
Hopefully one if you can help me And explain
Answer:
It's A
Step-by-step explanation:
B is out, because each step increases the value linearly by 1
C is out, because each step increases the value linearly by 9
D is out, because each step increases the value linearly by 6
A increases fivefold per step
I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it
URGENT PLEASE HELP ME !!!!
Answer:
CO
Step-by-step explanation:
Conditional: If p, then q.
Converse: If q, then p.
Conditional: If the measure of an angle is 90 degrees, then it is a right angle.
If p, then q.
p = the measure of an angle is 90 degrees
q = it is a right angle
Converse:
If q, then p.
If it is a right angle, then the measure of the angle is 90 degrees.
Answer: CO
A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.
What is the shape of the cross-section?
square
rectangle that is not a square
triangle
parallelogram that is not a rectangle
Answer:
B
Step-by-step explanation:
a rectangle that is not a square
The plane will be rectangular which is not a square. Then the correct option is B.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.
Let a be the side length of the cube.
The length of the rectangular plane will be
L² = a² + a²
L = a√2
Then the dimension of the plane is 'a' and 'a√2' units.
The plane will be rectangular which is not a square. Then the correct option is B.
More about the rectangle link is given below.
https://brainly.com/question/10046743
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Will mark brainliest
Answer:
350
Step-by-step explanation:
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x
Answer:
Name:- Trinomial
Degree:- 5 [ the highest power of x is 5 ]
hope it is helpful to you
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
Please explain in detail, I am confused
Answer:
read the comments i cant help you yet but if you read the comments and do what they say then i can help you
Step-by-step explanation:
What is the area of this triangle ?
Two containers, A and B begin with equal volumes of liquid.
120 ml is then poured from A to B.
А
B
Container B now contains 4 times as much liquid as A.
Find the volume of liquid left in container A at the end.
A
A
B.
B
Volume left in container A=
20
ml
Answer:
volume left in A is 80ml
Step-by-step explanation:
let original volume in both be x ml
after pouring from A to B
vol in A = x - 120
vol in B = x + 120
now it is given that
vol in B = 4 times vol in A
implies
[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]
hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml
If x=10 what is the value of 4(x-2)
A.48
B.32
C.38
D.8
Answer:
[tex]b. \: \: 32[/tex]
Step-by-step explanation:
[tex]4(x - 2)[/tex]
[tex]4(10 - 2)[/tex]
[tex]4(8)[/tex]
[tex]32[/tex]
Hope it is helpful.... The time of a clock as seen in a mirror is 3:15. The correct time is
Answer:
3:15 cause a mirror cant change time
Step-by-step explanation:
go in ur mirror and look at the time did it somehow get darker or lighter???
Answer:
8:45 i think
Step-by-step explanation:
2. Which relations are functions? Explain. For each graph, state the domain and range.
Answer:
A. and C. neither of them have a repeating y value if you input a vertical line on the graph
Can someone please help ?!thank you !
Answer:
72
Step-by-step explanation:
67+5= 72
Https://imgur.com/a/n3PRcMY
what is the smallest perimeter of area 12 cm can have?
edit: at cm there should have been a small 2 at the top but I forgot just pretend it's there pls.
Answer:
14
Step-by-step explanation:
area = lb
4*3 or 6*2 or 1*12
perimeter= 14,16,26
Pls I need help with this
Answer:
third side = 6
Step-by-step explanation:
third side is hypotenuse as it is opposite to 90 degree
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotense)^2
5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2
25 + 11 = hypotenuse^2
36 = hypotenuse^2
[tex]\sqrt{36}[/tex] = hypotenuse
6 = hypotenuse
Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?
WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH
Answer:
12 additional sticks of butter
Step-by-step explanation:
First, create an equation. Let y represent the number of additional sticks of butter needed, and let x represent the number of cakes made.
y = [tex]\frac{x}{2}[/tex] will be the equation.
Since she has already baked 17 cakes, she will need to bake 24 more cakes to make 41 cakes.
Plug in 24 as x into the equation, and solve for y:
y = [tex]\frac{x}{2}[/tex]
y = [tex]\frac{24}{2}[/tex]
y = 12
So, she will need 12 additional sticks of butter
[tex]50.705 \div 2.646[/tex]
Answer:
19.1628873772
Step-by-step explanation:
50.70500 ÷ 2.64600 = 19.1628873772
Which of the following statements contain a variable? Check all that apply.
A. The amount of time you ran on the track.
B. How high you can jump.
C. The time school starts.
D. The temperature outside is 31 degrees.
Help me please !!!!!!!!!!!
Answer:
option 1
Step-by-step explanation:
[tex]Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}[/tex]
Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money.
write an equation that represents this situation?
Pls help
Answer:
30-12=18
18-18=0
Step-by-step explanation:
2x + 12 = 30
X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.
The slope of line m is 3/8. Line n is perpendicular to line m. What is the slope of line n?
Answer:
- [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]
PLEASE PLEASE HELP ME! thank you so so much
explaining your answer = brainliest/five stars
The radius of a circle is 4 kilometers. What is the area of a sector bounded by a 135° arc?
give the exact answer in simplest form
Answer:
6π
Step-by-step explanation:
(135/360)×π×4²
(135/360)×π×16
=6π
23, 24, 25, 20, 25, 29, 24, 25, 30
Mean?
Median?
Mode?
Range?
Please help?
Answer:
median = 25. that's the answer
Answer:
Mean - 25
median - 25
range - 10
mode - 25
