Given the vertex and another point, write the equation in vertex form: vertex (2, -5) point (3, -2)
Answer:
y = 3(x - 2)² - 5
Step-by-step explanation:
Let the equation of the parabola is,
y = a(x - h)² + k
Here, (h, k) is the vertex of the given parabola.
Since, vertex of the parabola is (2, -5)
Equation of the parabola will be,
y = a(x - 2)²- 5
Since, parabola passes through a point (3, -2),
-2 = a(3 - 2)²- 5
-2 + 5 = a(1)
a = 3
Therefore, equation of the parabola will be,
y = 3(x - 2)²- 5
30% of what number is 7.5?
A television channel broadcasts a baseball game every day. Yesterday's broadcast showed the game for 2 5/6 hours and commercials for 2/3 hour. At this rate, how many hours does the television channel show a game for every hour it shows commercials during its broadcasts?
Answer:
4.25 hours
Step-by-step explanation:
Given that :
Game broadcast time = 2 5/6 hours = 17/6 hours
Commercials time = 2/3 hours
2/3 hours of commercials = 17/6 of game broadcast
1 hour of commercials = x hours of game broadcast
Cross multiply ;
(2/3)x = 17/6
2x * 6 = 17 * 3
12x = 51
x = 51 / 12
x = 4.25
For every hour it shows commercials, game is broadcasted for 4.25 hours
PLEASEEEEEEEE HELPPPPPPP
what is 4/7 + 1/8 in math
The opposite sides of a parallelogram are _____?
Answer:
parallel
Step-by-step explanation:
Answer:
A parallelogram is a quadrilateral
Her why:
whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal.
Find the area. The figure is not drawn to scale.
Answer:
A = 1/2 (13) ( 9 +9)
A = 1/2 (13) (18)
A = 117
3) Slope = 4, passing through (-1,5)
Slope
What is the value of y?
E
(3y + 4) (5y-10)
A.)7
B.)5.5
C.)1.75
D.)6
Answer:
7
Step-by-step explanation:
3*7+4=25
5*7-10=25
A giant candy bar costs C dollars last week. This week the price doubled. How much would you pay today if you wanted 3 giant candy bars, and also had a $2 coupon off the total cost? Write this as an expression in terms of C.
((c*2)3)-2=x
x = total cost
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, how many more hot dogs would winston need to sell to earn a total of 185.00?
Isaac received 125 for his birthday. He spent 65 on a new video game. How much money, x, how much does issac have
Answer: $60
Step-by-step explanation:
Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y = 5x + 3 C y = −5x D y = − 1 5 x
Answer:
y = 5x + 3 is a nonproportional relationship.
Step-by-step explanation:
We need to find the equation that represents a nonproportional relationship.
If y is directly proportional to x, it would mean that,
y ∝ x
y = kx
Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.
Hence, we can say that option (b) represents a nonproportional relationship.
what is 1257÷45 I really need help
Exact Form:
419/15
Decimal Form:
27.93...
Mixed Number Form:
27 14/15
Hope this helps(:
Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1)2 + ( + 2)2 = 25 (x + 2)2 + (-1)=5 O (* + 2) + (-1) - 25 (x-1) + ( + 2) = 5
Given:
The center of the circle = (-2,1).
Circle passes through the point (-5,3).
To find:
The equation of the circle.
Solution:
Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r=\sqrt{(-5-(-2))^2+(3-1)^2}[/tex]
[tex]r=\sqrt{(-5+2)^2+(2)^2}[/tex]
[tex]r=\sqrt{(-3)^2+(2)^2}[/tex]
On further simplification, we get
[tex]r=\sqrt{9+4}[/tex]
[tex]r=\sqrt{13}[/tex]
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center of the circle and r is the radius of the circle.
Substitute h=-2, k=1 and [tex]r=\sqrt{13}[/tex].
[tex](x-(-2))^2+(y-1)^2=(\sqrt{13})^2[/tex]
[tex](x+2)^2+(y-1)^2=13[/tex]
Therefore, the equation of the circle is [tex](x+2)^2+(y-1)^2=13[/tex].
A package of sliced cheese weighs 2 1/4 pounds and costs $18. If 3 slices weigh a total of 2 ounces, how much do the 3 slices cost?
What is the length of one side of a cube that has a surface area of 1,734 square mm?
Answer:
a = 17
Step-by-step explanation:
1,734 = 6a^2
1,734/6 = 6a^2/6
[tex]\sqrt{289}[/tex] = [tex]\sqrt{a^2}[/tex]
a = 17
Answer:
side = 17 mm
Step-by-step explanation:
1734/6 = 289
√289 = 17 mm
A fun park charges $10 for admission and then two dollars for every ride. Write a function that determines the amount of money spent, Y, based on the number of rides ridden, X.!! please help ahhh
Answer:
x is I think 5
Step-by-step explanation:
dndjdudjndndjdjdjjd
plzzzzzzzzzzzzzzzzzzzzzzzzz help
What is the equation of the line that passes through the points (15,9) and (-2, 9)?
Oy - 9
11
Oy ----x+ 9
Oy=-17
Oy - 6x + 11
Answer:
c
Step-by-step explanation:
A bag contains 3 white balls, 4 green balls, and 5 red balls. A ball is drawn at random. How many total number of outcomes are there?
Answer:
12
Step-by-step explanation:
5+4+3 = 12
Answer:
12 is the total outcome.......
Step-by-step explanation:
3+4+5=12 is the ans.....
hope this will help u.....
Hollis goes outside at 2:00. He spends 48 minutes riding his bike and playing with his dog. What time is it now? Write the time in two ways.
Answer:
2:48
Step-by-step explanation:
48 minutes passed and he went outside at 2:00 im not sure what they mean by write it in 2 ways though
can someone helppp??
Step-by-step explanation:
bhai question to bahut hi tough hai yaar Kaise Banegi use to nahin Hogi yah Mujhe brand list Mar kar dena but ok
four fifths of the senior class went to prom. if 324 seniors went to prom, how many are there in the class?
Answer:
there's a total of 388.8 kids in the class but you can have 0.8 of a person and you can't round a person up so just 388
Step-by-step explanation:
tldr: 388 people
Evaluate the expression using properties of operations.
1
-1.2 = 3x5x (2)
6
OA) -72
OB) 2
OC) 72
OD 120
Answer:
Step-by-step explanation:
OA) -72
Solve for x.parallelogram
Plz show steps so I can learn
Answer:
in a parallelogram .......the sum.of adjacent angles is 180
11x-10+80=180
11x=110
x=10
7.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Time (hours)
4
6
8
10
Distance (miles)
212
318
424
530
A. [tex]\frac{1}{53}[/tex]; Your car travels 53 miles every 1 hour.
B. [tex]\frac{53}{1}[/tex]; Your car travels 53 miles every 1 hour.
C. 212; Your car travels 212 miles.
D. 10; Your car travels for 10 hours.
Answer:
The answer is A) The car travels 53 mph(Miles Per Hours).
212/4 = 53
318/6 = 53
424/8 = 53
530/10 = 53
Step-by-step explanation:
Answer:
B) rate of change is 53, your car travels 53 miles every 1 hour .
Step-by-step explanation:
Given : Table for time and distance.
To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Solution : We have given that Table for time and distance.
rate of change= .
rate of change= .
rate of change = 53.
rate of change= .
rate of change = 53
rate of change = .
rate of change = 53.
rate of change = .
rate of change = 53.
Therefore, B) rate of change is 53, your car travels 53 miles every 1 hour .
Answer: A
Step-by-step explanation:
Two of the sides of a triangle are 7 inches
and 8 inches. If the third side is a whole
number of inches, what is its greatest
possible measure?
Answer:
11 inches
Step-by-step explanation:
7^2+8^2=c^2
49+64=c^2
113=c^2
square root both side
c=10.63014581
round up and get c=11
hope this helped :)
Solve these simultaneous equations:
6x + 8y = 36 6x + 5y = 27
Answer:
Y = 3
X = 2
Step-by-step explanation:
(6x2) = 12
(8x3) = 24
12 + 24 = 36
(6x2) = 12
(5x3) = 15
12 + 15 = 27
0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?
Answer:
331776
Step-by-step explanation:
Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?
Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?
= 4? · 3? · 2?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288
Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12
Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912
We now find 3#
3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12
Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24
We now find 2#
2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 2# = 2?· 1? = 2 × 1 = 2
We now find 1#
1# = 1? · 1? = 1? · 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
And, 1# = 1? · 1? = 1 × 1 = 1
So, 4# · 3# · 2# · 1#? = 6912 · 24 · 2 · 1? = 331776