Answer: The point G is G(18,-9)
Step-by-step explanation:
Midpoint:
Write the formula for midpoint of the A(x_1,y_1) and B(x_2,y_2).
[(x_1+x_2)/2,(y_1+y_2)/2]
G(x,y), H(-2,9)
(8,0) =[(x+(-2))/2,(y+9)/2]
(x+(-2))/2 =8
(x+(-2))=16
x-2 =16
x =18
(y+9)/2=0
y+9=0
y=-9
The point G is G(18,-9)
(answer found from user homeworkhelp on mathskey.com)
3. A water balloon was thrown
from a window. The height
of the water balloon over
time can be modeled by the
function y= 16x2 + 160x + 50.
What was the maximum
height of the water balloon
after it was thrown?
Note: It the given equation the coefficient of [tex]x^2[/tex] must be -16 instead of 16.
Given:
Consider the height of the water balloon over time can be modeled by the function
[tex]y=-16x^2+160x+50[/tex]
To find:
The maximum height of the water balloon after it was thrown.
Solution:
We have,
[tex]y=-16x^2+160x+50[/tex]
Here, leading coefficient is negative. So, it is a downward parabola and vertex of a downward parabola, is the point of maxima.
If a parabola is [tex]f(x)=ax^2+bx+c[/tex], then
[tex]Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]
Here, [tex]a=-16,b=160,c=50[/tex]. So,
[tex]-\dfrac{b}{2a}=-\dfrac{160}{2(-16)}[/tex]
[tex]-\dfrac{b}{2a}=-\dfrac{160}{-32}[/tex]
[tex]-\dfrac{b}{2a}=5[/tex]
Now, put x=5 in the given equation.
[tex]y=-16(5)^2+160(5)+50[/tex]
[tex]y=-16(25)+800+50[/tex]
[tex]y=-400+850[/tex]
[tex]y=450[/tex]
The vertex of the given parabolic equation is (5,450).
Therefore, the maximum height of the balloon is 450 units after 5 units of time.
I need help with this
Answer:
First add all the equations like (11y-32)+(3x-16)+(6x+7)=180
Step-by-step explanation:
You would first combine all the like terms so put all the variables on one side and the numbers on the other. After you have done that, you would just solve.
How would you get the variable alone in the equation s ÷ 10 = 12? A. Multiply both sides of the equation by 10. B. Multiply both sides of the equation by 12. C. Divide both sides of the equation by 10. D. Divide both sides of the equation by 12.
A. Multiply both sides of the equation by 10.
SInce 10 is being divided with s, weneed to isolate it. To do this multiply 10 on both sides.
In the point-slope form of a line, y-y1 = m(x-x1) , the slope is represented by ..? the x-coordinate of a point is represented by..? and the y-coordinate of the point is represented by..?
Answer:
y, m(x)
Step-by-step explanation:
minus them to get this
2x - 1y = 6
-3y = -6x + 18
please explain how you got your answer thank you :)
Answer: {x,y}={6,21}
Step-by-step explanation:
// Solve equation [2] for the variable x
[2] 3x = 18
[2] x = 6
// Plug this in for variable x in equation [1]
[1] 2•(6) - y = -9
[1] - y = -21
// Solve equation [1] for the variable y
[1] y = 21
// By now we know this much :
x = 6
y = 21
We are done
Answer:
y = 2x -6. A dependent system, so all numbers on this line.
Step-by-step explanation:
2x - y = 6
-3y = -6x + 18
In order to solve a system of equations, you want to get isolate y. One equation already has done that for us, so that makes it easier.
2x - y = 6
In order to isolate y in this equation, you must simply subtract 2x from both sides, which would give us:
-y = -2x + 6
Now, you can't leave y negative. Normally you'd divide the y by its variable, but this one doesn't have a variable. so you must divide both sides by -1.
[tex]\frac{-y}{-1} =\frac{-2x+6}{-1}[/tex]
We divide both sides because what you do to one side you must do to the other. This leaves us with the equation:
y = 2x - 6
Now, for the other equation. It's simple since y is already isolated.
-3y = -6x + 18
Once again we will be dividing both sides, but this time it's by -3.
[tex]\frac{-3y}{-3} =\frac{-6x+18}{-3}[/tex]
We are dividing by -3 instead of -1 because y in this equation has a variable of -3. This would give us:
y = 2x - 6
Now, normally in order to get the answer, you must graph both of these equations, but since these equations ended up being the same, the answer is every number that appears on the line. This is called a dependent system.
My question is in the picture:)
Answer:
10,000
Step-by-step explanation:
will give 100 pts and brainliest
Answer:
y = [tex]\sqrt{19^2 + 8.2^2}[/tex]
Step-by-step explanation:
to get the hypotenuse:
use the Pythagorean theorem:
a² + b² = c²
where a = 19, b = 8.2 c = y
plugin values:
19² + 8.2² = y²
y = [tex]\sqrt{19^2 + 8.2^2}[/tex]
Answer:
y = [tex]\sqrt{19^2+8.2^2}[/tex]
Step-by-step explanation:
Find the hypotenuse
Triangle XYZ has vertices X(8, −2.3), Y(6.5, 5), and Z(6, 3). When translated, X′ has coordinates (3.8, −0.3). Enter a rule to describe this transformation. Then find the coordinates of Y′ and Z′. Drag and drop each number into the correct box to complete the statements.
A car uses 4 gallons of gasoline for a
trip of 30 miles. How many gallons of
gasoline would be used on a trip that is 81
miles?
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
5-x/3=x/2-5 plzzzzzzz
Answer:
There are no solutions
Step-by-step explanation:
Interest: $105
Principal: p
Rate: .035
Time: 0.5 y
How do I find the p?
Answer:
P = $ 600.00
Equation:
P = I / rt
Step-by-step explanation:
HELP!! 20 POINTS
What type(s) of symmetry does this figure have?
rotational symmetry only
point symmetry only
no symmetry
both point and rotational symmetry
Answer:
rotational symmetry only
Complete the square:
Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below. A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame, what is the length of the frame? Write the answer in decimal form.
Given :
A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame.
To Find :
The length of the frame.
Solution :
We know, perimeter of the rectangle is given by :
[tex]P=2(l+b)\\\\P=2(3x+x)\\\\P=8x[/tex]
Now, it is given that 18 feet of wood is used.
So,
[tex]8x=18\\\\x = 2.25\ feet[/tex]
Therefore, length of frame is given by 3x = 6.75 feet.
Hence, this is the required solution.
Answer: A, 6.75
Step-by-step explanation: If the frame is 3 times the width and Kyle uses 18 feet them this the only correct option out of the other 3.
A steel beam can be cut to different lengths for a project.
Assuming the weight of a steel beam is proportional to its length, what information would you need to know to write an equation that represents this relationship?
Answer:None
Step-by-step explanation:
You can write a statement of proportionality without any additional information:
weight = k × length for some constant k
If you need to know the specific weight of a specific length, then you need to know the constant of proportionality (the value of k).
The equation c = 2r + 8 represents the cost of an amusement park. C represents the total cost, r is the cost per ride and 8 is the entrance fee to enter. Determine whether there is a proportional relationship between r and c.
Answer:
yes there is because if you do
________________________
✩ Answer:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
[tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:
-3 ÷ -3 = Cancels OutTurns into: [tex]\frac{-9}{-3} >5x-2[/tex]✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:
-9 ÷ -3 = 3Turns into: [tex]3 > 5x - 2[/tex]✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:
Turns into: [tex]5x-2<3[/tex]✺ Add 2 to both sides:
Turns into: [tex]5x<3+2[/tex]✺ Add 3 and 2 to get 5:
3 + 2 = 5Turns into: [tex]5x<5[/tex]✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:
5 ÷ 5 = Cancels OutTurns into: [tex]x<\frac{5}{5}[/tex]✺ Divide 5 by 5 to get 1:
5 ÷ 5 = 1✺ So your answer is B, [tex]\boxed{x<1}[/tex].
(Number line is below.)
[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
Answer:
[tex]\boxed {x < 1}[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]-9 < -3(5x - 2)[/tex]
-When you are dividing an integer by a negative integer, then the inequality sign changes. So, divide both sides by [tex]-3[/tex]:
[tex]\frac{-9}{-3} < \frac{-3}{-3} + 5x - 2[/tex]
[tex]3 > 5x - 2[/tex]
-Switch sides:
[tex]5x - 2 < 3[/tex]
-Add [tex]2[/tex] to both sides:
[tex]5x - 2 + 2 = 3 + 2[/tex]
[tex]5x < 5[/tex]
-Divide both sides by [tex]5[/tex]:
[tex]\frac{5x}{5} < \frac{5}{5}[/tex]
[tex]\boxed {x < 1}[/tex]
The number line graphed (if needed):
Write the first four terms of sequence f(n) = n ^ 2 + 2n + 5
.............................
Answer: For 5 pirate ships, you need 55 pirates. For 11 pirate ships, you need 121 pirates.
Step-by-step explanation:
22 (# of pirates) divided by 2 (# of ships) = 11 pirates per ship. Use this knowledge of 11 pirates per ship to find how many pirates you need for different numbers of ships:
11*5= 55 for 5 ships &
11*11= 121 pirates for 11 ships.
5.
(plz helppp)
Mrs. Thompson’s class measured the rainfall at their school for four weeks.
Week 1:
Week 2: 3.2 inches
Week 3:
Week 4: ?
How much rain fell in week 4 if the total rainfall for the four weeks was 7 inches?
Answer: 1.26 inches
explanation :
because if you subtract 7 by 3.2 you'll get
3.8, 3.8 will be the total of rain if you add week 1 2 4 , then youll have to find the average by dividing 3.8 by 3 youll get 1.26 . so that means the average lenth of the rain for 1 2 4 is 1.26 inches
Is 5:2 the same as 2:5
Answer:
It is not the same
Step-by-step explanation:
Is 5/2 greater than 2/5? Is 5/2 bigger than 2/5? Is 5/2 larger than 2/5? These are all the same questions with one answer.
When comparing fractions such as 5/2 and 2/5, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below: 5/2 = 2.5
2/5 = 0.4 Therefore, 5/2 is greater than 2/5 and the answer to the question "Is 5/2 greater than 2/5?" is yes.
Step-by-step
Its different because 5:2 and 2:5 (or 5/2 and 2/5) have different numerators and denominators.
ANSWER THIS CORRECTLY AND GET 100 PTS AND BRAINLIEST
Answer:
4y+6x2-6+y is not equivalent3y+6x2+6 is equivalent, but not fully simplified5y-6x2-5+1 is not equivalent5y-8x2-6+14x2 is equivalent and simplified fully3y+6x2-5-1 is equivalent and simplified fully5y+6x2-6 is not equivalent4y-8x2-5+14x2+y-1 is equivalent, but not fully simplifiedHope I helped!! :)Answer:
nmnm
Step-by-step explanation:
nmnmnm
Two students are having a party. They want to make treat bags for their guests. They want each bag to be identical with nothing leftover. They have 36 Silly Bandz and 72 pieces of Double Bubble to put in the bags. What is the greatest number of treat bags they can make? How many of each item will be in each treat bag?
Answer:
Two students can make maximum 36 treat bags.
Number of pieces of silly Bandz in each bag [tex]=1[/tex]
Number of pieces of Double Bubble in each bag [tex]=2[/tex]
Step-by-step explanation:
Number of pieces of silly Bandz = 36
Number of pieces of Double Bubble = 72
To find greatest number of treat bags that they can make, find H.C.F. of 36 and 72
[tex]36=(2^2)(3^2)\\72=(2^3)(3^2)[/tex]
[tex]H.C.F(36,72)=36[/tex]
So,
they can make maximum 36 treat bags.
Number of pieces of silly Bandz in each bag [tex]=\frac{36}{36}=1[/tex]
Number of pieces of Double Bubble in each bag [tex]=\frac{72}{36}=2[/tex]
Insert the parenthesis to make the equality right:630÷7÷2⋅9⋅25=125
Answer:
(630 ÷ 7) ÷ (2 ⋅ 9) ⋅ 25 = 125
Step-by-step explanation:
630 ÷ 7 ÷ 2 ⋅ 9 ⋅ 25 = 125
(630 ÷ 7) ÷ (2 ⋅ 9) ⋅ 25 = 125
90 ÷ 18 ⋅ 25 = 125
5 ⋅ 25 = 125
125 = 125
BRAINLIEST ANSWER!
A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve an equation to find the number of hours, t, of labor spent repairing the car.
Answer:
the answer is 311
Step-by-step explanation:
the answer is 311
A new uniform cost 49.99 if its on sale for 15% off what is the cost before tax
Answer:
$42.49
Step-by-step explanation:
This means the cost of the item to you is $42.49. You will pay $42.49 for a item with original price of $49.99 when discounted 15%. In this example, if you buy an item at $49.99 with 15% discount, you will pay 49.99 - 7.4985 = 42.49 dollars.
Answer:
42.49
Step-by-step explanation:
Discount = 15% of 49.99
= 0.15 * 49.99
= 7.4985
Cost after discount = 49. 99 - 7.4985
= 42.4915
= 42.49
Damien Bowled five games. His scores were
83,82,65,84,76
Answer:
I have no idea what your askin but here-
the mean 78
No mode
range is 19
median is 82
Arrangement of order 65,76,82,83,84
A 2-pack of board games cost $7.18. What’s the unit price
Answer:
$3.59
Step-by-step explanation:
3.59
+ 3.59
= 7.18
The hu family goes out for lunch, and the price of the meal is $57. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
The total cost of the meal is $
Answer:
$69.54
Step-by-step explanation:
57 * .07 = 3.99
57* .15 =8.55
8.55+3.99+57 =69.54
A square had a perimeter of 68cm. Whatl is the length of each side?
Answer:
17
Step-by-step explanation:
68/4=17
68 is the total perimeter, to get the length of each side is divide by 4, because it's a square, it has 4 sides.
Hope this helps!
Answer:
68 is the length of each side