Answer:
f(x) = 6(x - 2)² + 3Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
"the parabola opens upward" means: a>0
"the parabola has x = 2 as an axis of symmetry" means: h = 2
so f(x) = a(x - 2)² + k
"the parabola contains the point (1, 9)" means:
9 = a(1 - 2)² + k
9 = a(-1)² + k
9 = a + k
k = 9 - a
"the parabola contains the point (4, 27)" means:
27 = a(4 - 2)² + k
so:
27 = a(2)² + 9 - a
27 = 4a + 9 - a
3a = 18
a = 6
and k = 9 - 6 = 3
Therefore the vertex form for this parabola is:
f(x) = 6(x - 2)² + 3
in fgh, k is the midpoint of GH what type of segment is fk?
Answer:
Option (1)
Step-by-step explanation:
Median:
A line joining the vertex to the midpoint of opposite side of the triangle.
Altitude:
Perpendicular drawn from a vertex to the opposite side of the triangle.
Angle bisector:
A line bisecting the angle of a triangle.
Perpendicular bisector:
A perpendicular line joining the vertex and the mid point of the opposite side of the triangle.
Hence, Option (1) Median will be the correct option.
Please help me!!!!!!!!
Answer:
1)the x-axis
2) when reflecting a shape over the x-axis the x coordinate stays the same and the y-coordinate becomes the opposite, so positive numbers become negative numbers and negative numbers become positive
Step-by-step explanation:
the rule of reflecting over the x-axis is (x, y)->(x, -y)
m=(-5,4)->(-5,-4)
n=(-2,3)->(-2,-3)
l=(-4,2)->(-4,-2)
Circle B has a radius of 7 and its center is located at (2,5).
Circle H has a radius of 13 and its center is located at (9,-4).
Circle B and circle H _______________ similar.
A. No answer text provided.
B. cannot be determined to be
C. are
D. are not
Answer:
C. Circle B and circle H are similar.
Step-by-step explanation:
From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.
In consequence, we conclude that correct answer is C.
The vertices of a triangle are A (-2, 2), B (4,10), and C (0, -2). Find the equation of the line that contains
the median through point
The equation of the line is y =________
Answer:
y = 1/2 x + 3
Step-by-step explanation:
mid point of line BC = (2, 4)
slope of the line containing median (m) = 1/2
y intercept (b)= 3
since y = mx + b
y = 1/2x + 3
The median of a triangle is the line segment joining the any of the vertex to the mid-point of the opposite side of that vertex. The equation of the median through point A is given by y = 1/2x + 3.
What is a Median ?A median of a triangle is a line segment joining one of the vertex of the triangle to the mid-point of the opposite side.
The median of an equilateral triangle also an angular bisector.
Given that,
The coordinates of A = (-2, 2)
The coordinates of B = (4, 10)
The coordinates of C = (0,-2)
Thus the coordinate mid-point of BC is given by (4+0)/2,(10-2)/2 = (2,4).
Now, to find the equation of median through A there are two points (-2,2) and (2,4).
Thus the equation of median an be written as,
(y-2)/(x+2) = (4-2)/(2-(-2))
=> y - 2 = 1/2(x+2)
=> y = 1/2(x+2) + 2
=> y = 1/2 x + 3
Hence, the equation of the line is y = 1/2 x + 3.
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Which equation represents the amount, A, each member receives?
Answer:
What equations? there's no picture to reference
I need help with this finding x problem please show work
Answer:
The model represents the equation
-3x + 6 = 4x -8
Start by subtracting 6 from both sides.
-3x + 6 (-6) = 4x - 8 (-6)
-3x = 4x - 14
Subtract 4x from both sides
-3x - 4x = 4x - 4x - 14
-7x = -14
x = -14/-7
x = 2
help me on my math pwease
Answer:
Part a: C
Part b: 2x34
d=68
Step-by-step explanation:
Which expression has a value of 8?
1. 720 divided by 9
2. 720 divided by 90
3. 7200 divided by 9
4. 7200 divided by 90
Answer:
720 divided by 90
Step-by-step explanation:
72 divided by 9 is 8. 720 divided by 9 is 80 because you're keeping the 0, but when dividing, take away the zeros if both numbers have a zero to make it easier
plz help me thank you
Answer:
Pauline needs 48 bags.
Step-by-step explanation:
You know that the field is 240 sq. ft. and that the density of the mulch is 6 pounds per sq. ft. Just multiply 240 by 6 to get the total weight of all the mulch, 1440 pounds. You also know each bag of mulch is 30 pounds. Divide 1440 by 30 to get 48 bags.
The rodent control task force went into the woods one day and caught 200 rabbits and 18 squirrels. The next day they went into the woods and caught three fewer rabbits and two more squirrels than the day before. Each day they went into the woods and caught three fewer rabbits and two more squirrels than the day before. This continued through the day when they caught more squirrels than rabbits. Up through that day how many rabbits did they catch in all? I NEED HELP ASAP PLS!! WILL MARK BRAINLIEST IF CORRECT
Answer:
6068 rabbits
Step-by-step explanation:
Given
[tex]Rabbits = 200[/tex]
[tex]Reduction = 3\ daily[/tex]
[tex]Squirrels = 18[/tex]
[tex]Increment = 2\ daily[/tex]
Required
Determine number of rabbits caught up till the day when they caught more squirrel.
Let the number of days be n
On any n day,
The number of rabbits they catch is:
[tex]Rabbit = 200 - 3n[/tex]
The minus symbol is used because there's a reduction in the numbers of Rabbit caught, each day.
The number of squirrel they catch is:
[tex]Squirrel = 18 + 2n[/tex]
The addition symbol is used because there's an increment in the numbers of Squirrel caught, each day
First, we need to solve for n
The expression when they catch more rabbits than squirrel is:
[tex]Squirrel > Rabbit[/tex]
Substitute values for Squirrel and Rabbit
[tex]18 + 2n > 200 - 3n[/tex]
To solve the above expression, we start by collecting like terms
[tex]2n + 3n > 200 - 18[/tex]
[tex]5n > 182[/tex]
Solve for n
[tex]n > \frac{182}{5}[/tex]
[tex]n > 36.4[/tex]
Days must be an integer. So, we have to round the above value.
[tex]n > 36[/tex]
The above expression shows that they caught more squirrel on a day greater than 36.
This day is 37.
i.e.
[tex]n = 37[/tex]
The reduction in the number of rabbits daily is an indication of Arithmetic progression.
So, to calculate the number of rabbits caught up till the day when they caught more squirrel, we make use of Sum of n terms of an AP using:
[tex]S_n = \frac{n}{2}(2a + (n-1)d)[/tex]
In this case:
[tex]n = 37[/tex]
a = Initial Number of rabbits;
[tex]a = 200[/tex]
d = the reduction (common difference)
[tex]d = -2[/tex]
Substitute these values in the given formula:
[tex]S_n = \frac{n}{2}(2a + (n-1)d)[/tex]
[tex]S_{37} = \frac{37}{2}(2 * 200 + (37 - 1) * -2)}[/tex]
[tex]S_{37} = \frac{37}{2}(2 * 200 + 36 * -2)}[/tex]
[tex]S_{37} = \frac{37}{2}(400 -72)}[/tex]
[tex]S_{37} = \frac{37}{2} * 328[/tex]
[tex]S_{37} = 37 * 164[/tex]
[tex]S_{37} = 6068[/tex]
Up till that day, the number of rabbits is 6068
HELP ME PLZZ I NEED HELP WITH THIS AND MAKE SURE YOU EXPLAIN!!!!!!!!!!!!!!!!
Answer:
C. 7/9 and 0.7 (with bar notation)
Step-by-step explanation:
The division keeps going with the remainder as 7 and 9 can only go into 70 with a 63 so to show the 7 keeps going you would have to use bar notation above 7.
(ONLY ANSWER THIS IF YOU WANT TO PLAY AMONG US PLEASE I WANT TO PLAY!!!)
Answer:
Whats the code?
Step-by-step explanation:
Ill play with u
PLZ HELP ME ANSWER THIS!!!!
Answer: 4,5,-4,23
Step-by-step explanation:
kaede's grades for math in first term are 70,80,60,90,100 . what is his average plz help me and thank u
Answer:80
Step-by-step explanation:
take 20 from 100 and give them to 60.
take 10 from 90 and give to 70.
adds ut to avg 80
if x^2+25y^2=416 and x-5y=-16 the value of xy is
a)16
b)8
c)-8
d)-16
Answer:
(a)
Step-by-step explanation:
Note the expansion of (x - 5y)² is
(x - 5y)² = x² - 10xy + 25y² , that is
(x - 5y)² = x² + 25y² - 10xy ← substitute given values
(- 16)² = 416 - 10xy
256 = 416 - 10xy ( subtract 416 from both sides )
- 160 = - 10xy ( divide both sides by - 10 )
xy = 16 → (a)
jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back
Answer:
$1860
Step-by-step explanation:
12% of 1500 = 180
180 x 2 = 360
1500 + 360=1860
Answer
1680
Step-by-step explanation:
180 as simple interest 1680 as total amount to pay back
Anyone out there can solve this I will give 17 points!!!
Lauren is twice Kristy’s age. The sum of Lauren and Kristy’s ages is 51. Which equation represents the sum of their ages?
A K + K + 2 = 51 B K + 2K + 2 = 51 C 2K = 51 D K + 2K = 51
Answer:
D. K+2K=51
Step-by-step explanation:
Since Lauren is 2 times Kristy's age, Lauren's age=2K
so, if the sum of the two is 51, then 2K+K=51
If you want to solve it, 2K+K=3K=51
51/3=K
17=K
34=L
Answer:
D K + 2K = 51
Step-by-step explanation:
Lauren is twice Kristy's age so it would be 2K cause you want to multi[ly, and then you have to add Kristy's age in the equation because their ages added together is 51
What is the slope of the line represented by the equation y= -1/2x + 1/4?
Answer:
The slope of the line is -1/2
the slope is -1/2
y=mx+b
mx=slope
in your equation m= -1/2
can sum one please help me with this
Answer:
with what?
Step-by-step explanation:
Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?
A. $190
B. $800
C. $950
D. $1,050
E. $1,200
Answer:
B. $950
Step-by-step explanation:
500+450=950
i need help !!!!!!!!!
Answer:
a. 14
b. 10
c. 11
Step-by-step explanation:
You need to use the distance formula.
[tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex]
Ex: (1,2) and (1,16)
You will need to lable each
1st Point: 1 will be [tex]x_{1}[/tex] and 2 will be [tex]y_{1}[/tex]
2nd Point: 1 will be [tex]x_{2}[/tex] and 16 will be [tex]y_{2}[/tex]
Then you will need to plug it in
[tex]\sqrt{(1-1)^{2} +(16-2)^{2}}[/tex]
I need this answer ASAP
Answer:
2 in
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
PLEASE HELP ME!
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are boys?
Answer:
12
Step-by-step explanation:
3+5=8
32÷8=4
3×4=12
Answer:
12
Step-by-step explanation:
3+5=8
32÷8=4
3×4=12
Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrapping
station. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $332,200 to rent the gas station, purchase wrapping paper, hire workers, and
advertise. If he borrows this amount at 61% Interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.)
Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%
Answer:
Amount to be repaid is $335798.833
Step-by-step explanation:
Amount of loan = $332,200
Rate of interest = 6.5%
time = 2months = 2/12 = 1/6 years
The amount of interest is simple interest
SI = [tex]\frac{P * R * T}{100}[/tex]
=[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]
= $3598.833
Final amount to be repaid = 332200+ 3598.833
= $335798.833
hey help me pls:^
will give Yuh brainliest!!!!!
Answer:
1) x+10
2) 1/2
Step-by-step explanation:
Answer:
1.
[tex]x + 10[/tex]
2. 1/2
f(x)=3x-4 and g(x) = x2 find the value of f(3)-g(2)
show all work
Answer: 1
f(x) = 3x - 4 => f(3) = 3.3 - 4 = 9 - 4 = 5
g(x) = x² => g(2) = 2² = 4
=> f(3) - g(2) = 5 - 4 = 1
Step-by-step explanation:
Convert the equation below into slope intercept form:
y-4= -2(x+1)
Answer:
y = -2x + 2
Step-by-step explanation:
Simplify
y-4 = -2(x+1)
y - 4 = -2x - 2
add 4 to both sides
y = -2x +2
Answer:
y = -2x + 2
Step by step:
Select all the decimals that are terminating decimals
0.1111111
0.1
0.25
0.3333333
Answer:
0.1 and 0.25
Step-by-step explanation:
recurring decimals go on forever
terminating decimals end
A football team lost 14 yards on their first play then lost another 7 yards on the next play. What integer represents the total change in yards for the two plays? *
Answer:
-21 yards
Step-by-step explanation:
= -14 + -7
= -21
Lost 21 yards
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
The total change in yards for the two plays 21 yards lost
what are integers?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
Definition of IntegersAn integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes:
Positive Numbers: A number is positive if it is greater than zero. Example: 1, 2, 3 . . .
Negative Numbers: A number is negative if it is less than zero. Example: -1, -2, -3 . . .
Zero is defined as neither a negative number nor a positive number. It is a whole number.
In first play= 14 yards lost= -14
In next play = 7 yards lost = -7
So,
the total change in yards is = -14 + (-7)
=-14-7
= -21 yards
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Solve for x 3x+4-x=8
Answer:
x = 2
Step-by-step explanation:
3x + 4 - x = 8
Combine like terms
2x + 4 = 8
-4 from both sides
2x = 4
Divide by 2
x = 2
Answer:
x=4
Step-by-step explanation:
Add 4 to both sides of the equation
3x=8+4
add 8 and 4
3x=12
Divide each term in 3 x = 12 by 3.
3x/3 = 12/3
Cancel the common factor.
3x/3 = 12/3
Divide x by 1.
x = 12/3
Divide 12 by 3.