Answer:
The correct approach is Option A (-4).
Step-by-step explanation:
The given values are:
Vertex of the parabola,
(h, k) = (3, 5)
Passing through,
(x, y) = (-1, 6)
As we know,
The equation of parabola is:
⇒ [tex]x=a(y-k)^2+h[/tex]
On substituting the given values in the above equation, we get
⇒ [tex]-1=a(6-5)^2+3[/tex]
⇒ [tex]-1=a+3[/tex]
On substracting "3" from both sides, we get
⇒ [tex]-1-3=a+3-3[/tex]
⇒ [tex]a=-4[/tex] (coefficient of squared term)
Thus the above is the right choice.
On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adults.The receipts for admission totaled to $1249.50. How many children and how many adults swam at the public pool that day?
Answer:
120 children and 388 adults bought tickets for the swimming pool
Explanation:
Create two simultanous equations:
Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being
c
+
a
=
508
then, you now create a second equation for the prices of the tickets.
(price of childrens tickets)(number of children that swam)+(price of adults tickets)(number of adults that swam) = total money collected
so:
1.75
c
+
2.25
a
=
1083.00
now we still know, that
a
=
508
−
c
so we can substitute it into the second formula
1.75
c
+
2.25
(
508
−
c
)
=
1083
now its just simple algebra
1.75
c
+
1143
−
2.25
c
=
1083
60
=
0.5
c
so:
c
=
120
now we know, that 120 children went to the swimming pool.
and we still have the formula from before:
a
=
508
−
c
so
a
=
388
What is the volume of the figure? 4,536 mm 3 3,402 mm 3 2,268 mm 3 1,134 mm 3 just put answer no explanation
Answer:
The answer is 2,268 mm 3
Step-by-step explanation:
Pleaseeee help ASAP rocky!!!
Answer:E
Step-by-step explanation:
Evaluate the following expression when h = 3
4 (h + 2)
Answer:
20
Step-by-step explanation:
Substitute the given value (h = 3), into thte expression (4 (h + 2)), then simplify to evaluate the expression.
4 ((3) + 2)
4 (5)
20
When Maria was born, her parents set up a savings account for her with $1000. The account pays 5% annual interest and it is compounded quarterly? How much money will Maria have when she turns 18. Round your answer to the nearest whole number. Maria will have $ when she turns 18
Answer:
she will have 3,600 dollars when she is 18
Step-by-step explanation:
PLEASE ANSWER COMPLETE QUESTION. WILL MARK BRAINLIEST FOR BEST ANSWER. QUESTION IS ATTACHED.
9514 1404 393
Explanation:
A linear system of two equations in two variables will be a dependent system. This means both equations reduce to the same equation. The equations will be different only until they are reduced to the same form.
Here is one possible set of equations. The first is in slope-intercept form. The second is in point-slope form.
y = 3x +1y -7 = 3(x -2)If we subtract the first equation from the second, we get ...
(y -7) -(y) = (3(x -2)) -(3x +1)
-7 = 3x -6 -3x -1 . . . . . eliminates y
-7 = -7 . . . . . . . . . true for all values of x
There are an infinite number of solutions.
If a = 8 and b = 15, then c
=
solve 35% of 84 using the mental method
Answer:
29 approximately
Step-by-step explanation:
You want to estimate 35% of 84. 35% is roughly equivalent to 1/3, so multiply 84 by 1/3 (or, equivalently, divide 84 by 3), obtaining 28. Use a calculator to find 0.35(84): 29.4. This 28 is a fairly good estimate of 35% of 84 which is 29.4.
Give the coordinates of the point obtained from each reflection.
Reflect the point (8,-7) across the x-axis:
Reflect the point (8,-7) across the y-axis:
Write a real word problem that involves dividing a decimal by a whole number
I need the lateral area, total area, and the volume. Would greatly appreciate your help!
la 4gStep-by-step im so weird
Which number lies halfway between:
a) 16 and 38
b) 259 and 361
1004 and 2 012?
Answer:
Which number lies halfway between:
a) 16 and 38 = 28
b) 259 and 361 =310
1004 and 2012?
=1058
The midpoint of all the numbers are given below.
What is the midpoint?A location that is halfway between two other points is considered to be a line segment's midpoint. The distance between the midway and each endpoint is the same.
We have to find the midpoint of numbers.
a) 16 and 38
16 + 38 = 54/2 = 27
b) 259 and 361 = 620/2 = 310
c) 1004 and 2012 = 1508.
Therefore, all the middle numbers are given above.
To learn more about the midpoint;
https://brainly.com/question/28224145
#SPJ1
What is the slope of a line parallel to the line x-3y=4
Hey! Can someone help me?
Answer:
Step-by-step explanation:
there are 4 sixes soo
[tex]6^{4}[/tex]
Answer:
[tex] {6}^{4} [/tex]
-have a nice day
Helpppppp me pleaseeee
Answer:
3. C
4. D
Step-by-step explanation:
1. add flat fee to each song.
2. Multiply 0.15 by 25 then add 10
3y + 5x = 26
-2y – 5x
ан
-16
У —
Answer:
15
Step-by-step explanation:
Find the equation of the line that is parallel to the line y=-3x-7 and passes through the point (1,2). Write an equation in slop intercept form
Answer:
y=-3x+5
Step-by-step explanation:
y=-3x-7
slope is -3
parallel lines have the same steepness, they have the same slope. The slopes are equal.
y-y1=m(x-x1)
y-2=-3(x-1)
y-2=-3x+3
y=-3x+3+2
y=-3x+5
What are the measures of the other three angles formed by the intersection?
Show that the triangles are similar and write a similarity statement.
F.
5
G
24
15
18
H
16.5 J 5.5 K
HG
HJ
GJ
II
II
So AGHJ~A
Answer:
the circle is a square so that means a triangle is a circle
Step-by-step explanation:
At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 12 m. The inner edge of the sidewalk is a circle with a radius of 8 m.
Write and simplify an expression for the exact area of the sidewalk.
Find the approximate area of the sidewalk. Use 3.14 to approximate π.
Answer:
The answer would be 251.2 for the side walk if the radius for the whole circle is 12 and the small circle's radius would be 8. Only for the answer with the 8 m and 12 m radius NOT the 11m and 9 m
The equation would be:
144 x 3.14 - 64 x 3.14 = 251.2
Step-by-step explanation:
First, you need to find out what the whole circle is:
The whole circle is 452.16
Then, find the inner circle :
8 x 8 x 3.14
200.96
Last, subtract the whole by the inner:
452.16 - 200.96 = 251.2
hope this helps!
Factor The Expression
14b + 10=
there are no options
Answer:
2(7b+5)
Step-by-step explanation:
what is the measure of Y
Answer:
62
Step-by-step explanation:
60 + 58 + y = 180
118 + y = 180
y = 180 - 118
y = 62
what is the value of x
Answer:
x=11
Step-by-step explanation:
6x + 1 + 7x = 144
13x + 1 = 144
13x = 143
x = 11
Are (99 – 11 + 10g) - (12 - 119 + 13) and -3(-10g + 12) equivalent expressions? Explain.
Answer:
)99-11+10g -12+119 -13= 182+10g
)30g-36
Step-by-step explanation:
What is an equation of a parabola with its vertex at (0,0), but facing down?
What is an equation of a parabola with its vertex at (1,1)?
What is an equation of a parabola with its vertex at (-1,-1)?
What is the equation of a parabola with its vertex at (2,2) that passes through the origin?
What is the equation of a parabola with its vertex at (-2,2) that passes through the origin?
Answer:
For the first question: y = x^2
For the second question: y = x^2 - 2x + 1
For the third question: y = x^2 + 2x + 1
For the fourth question: y = x
For the fifth question: y = -x
Hope this helps:) Have a great day!
What is the slope of the line with equation Y -3 equals -1/2(x - 2)?
A. -2
B.-1/2
C. 1/2
D. 2
(4m+3)(m+2)
expand each of the following algebraic expression
Answer:
4m² + 11m + 6
Step-by-step explanation:
Use foil to expand this value.
(4m+3)(m+2)
Multiply the first terms in the two brackets.
Then multiply the two outer terms.
Followed by multiplying the inner terms.
Finally multiply the last terms
= (4m+3)(m+2)
4m² + 8m + 3m + 6
4m² + 11m + 6
The graphs below have the same shape. What is the equation of the blue graph? (apologies for bad quality)
Answer:
The blue graph is translated 3 units to the left and two down, so the new equation would be g(x)=(x-3)^2-2
The ordered pairs shown below are on the same line. (6,4) (12.6) Which equation describes the relationship between the x-coordinates and y-coordinates in the ordered pairs?
a. y = 3x - 14
B.y = 3x - 6
C. y= 1/3x + 2
TOTAL SURFACE AREA!!! WILL GIVE BRAINLIEST
Answer:
158in^2
Step-by-step explanation:
Answer:
158 in^2
Step-by-step explanation:
2C = 2x5x8 = 80
2B = 2x3x8 = 48
2C = 2x3x5 = 30
80+48+30 = 158 in^2