Answer:
The first step is to find a number that when subtracted from 2 gives you 2.
Step-by-step explanation:
The algebraic part of this problem would be to add the -2 (adding 2 to both sides) to both sides, so
first x-2=2, then x-2(+2)=2(+2) which would give us,
x=4
*note: the parenthesis are just to show that we are adding the 2, to make it more understandable.
An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground
Answer:
a) The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].
b) The height of the arch from the ground is 810 feet.
Step-by-step explanation:
Statement is incomplete. Complete statement is:
An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground.
Write an equation that represents the arch.
What is the height from the top of the arch to the ground?
a) Write an equation that represents the arch.
According to the statement, the archway is a vertical downward parabola. From Analytical Geometry we know that parabolas are represented by the following equation in standard form:
[tex]y-k = 4\cdot p\cdot (x-h)^{2}[/tex] (Eq. 1)
Where:
[tex]p[/tex] - Distance between vertex and focus, measured in feet.
[tex]x[/tex] - Independent variable, measured in feet.
[tex]y[/tex] - Dependent variable, measured in feet.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, measured in feet.
If we know that [tex]p = -2.5\,ft[/tex], [tex]h = 0\,ft[/tex] and [tex]k = 0\,ft[/tex], then the equation that represents the arch:
[tex]y = -10\cdot x^{2}[/tex]
The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].
b) What is the height from the top of the arch to the ground?
Given that parabola is a symmetrical curve, we determine the vertical position at the base of the arch ([tex]x = 9\,ft[/tex]):
[tex]y_{min} = -10\cdot (9\,ft)^{2}[/tex]
[tex]y_{min} = -810\,ft[/tex]
Then, the height of the arch from the ground is given by this difference:
[tex]h = 0\,ft-(-810\,ft)[/tex]
[tex]h = 810\,ft[/tex]
The height of the arch from the ground is 810 feet.
5 Which expression is represented on the number line?
ASAP
the linear tower of pisa is 804 feet shorter than the eiffel tower. the two towers have a total height of 1164 feet. How tall is each tower?
Answer:
eiffel tower - 984ft
leaning tower of pisa - 180
Step-by-step explanation:
2x+804=1164
-804 -804
2x = 360
divide both sides by 2
x = 180
eiffel - 180 + 804
pisa - 180
Find the equation of the vertical line that passes (-2,-9)
Answer:
x = -2
Step-by-step explanation:
That's really it, since it's a vertical line.
Answer:
The equation of vertical line, parallel to y-axis is
x + k=0
Here, the line passes through the point (–2,–9)
So, –2 + k = 0
=> k = 2
The required equation be, x + 2 = 0
Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equation shows how many minutes Jack reads his book in two weeks? A. (8 × 5) + (10 × 5) = 40 + 50 = 90 minutes B. (8 × 8) + (10 × 10) = 64 + 100 = 164 minutes C. (8 × 10) + (10 × 10) = 80 + 100 = 180 minutes D. (8 × 14) + (10 × 14) = 112 + 140 = 252 minutes
Answer:
(8 × 10) + (10 × 10) = 80 + 100 = 180 minutes
Step-by-step explanation:
It is given that, Jack reads his book for 8 minutes before school and 10 minutes after school.
No of days between Monday to Friday = 5
No of days between Monday to Friday in 2 weeks = 10
We need to find how many minutes Jack reads his book in two weeks.
For 10 days, before school = (8 × 10) min = 80 minutes
For 10 days, after school = (10 × 10) min = 100 minutes
It means, total time will be :
T = (8 × 10) min + (10 × 10) min
T = 80 + 100
T = 180 minutes
Hence, the correct option is (C).
simplify" (0.324/4.76+ 6.3)^-3
Answer:
i think its six :)
Felice swims 3 times every 7 days.
How many times will she
swim in 28 days?
Answer:
12 times.
Step-by-step explanation:
If she swims three times a week, then you need to find how many weeks make up 28 days. 28/7= 4 weeks. Since she swims three times a week, you multiple that by the amount of weeks, which is four. You get that she swims 12 times in 28 days.
HELP ME THX I don't want to fail...
Answer:
EF = 11
JK = 32
Step-by-step explanation:
Because the average of 10 and 12 is 11, therefore that would be the answer, since EF has a slite angle, finding the average of the largest side length and the opposite side would be the best way to find it.
Because the average of 28 and 36 is 32 your answer would be 32, this is from adding both lengths on LJ, which is 12 and 24, I added them to get 36, then found the average, the average was 36, meaning that this was your answer.
what is the change between -15 and 11
Answer:
26
Step-by-step explanation:
Take the second number and subtract the first number and take the absolute value
| 11 - -15|
|11 +15|
|26|
26
Answer:
26 units apart
Step-by-step explanation:
Since we want the total change/distance, subtract and take the absolute value.
-15 - 11 = -26
|-26| = 26
Best of Luck!
What is the total cost of a piano that costs $1200 with a markup of 75%
Answer:
900
Step-by-step explanation:
Complete the pattern.
5, 10, 30, 60, 180, ____
Answer:225
Step-by-step explanation:
please help me
What should I do ?
Answer:
D
Step-by-step explanation:
question in the image
Answer 6.
Step-by-step explanation:
Answer:
A.) 1
Step-by-step explanation:
A trapezoid only has one pair of parallel sides.
What is the vertex of the quadratic equation? y=(x+6)^-4
(6,-4)
(6,4)
(-6,-4)
(-6,4)
Find the slope of the line through points (3, -8) and (0.4). *
Answer:
slope is -4
Step-by-step explanation:
To find the slope with points, you do (y2-y1)/(x2-x1)
4-(-8)=12
0-3=-3
12/-3=-4
Solve the given system using matrices.
x + 3y + 2z = 4
-4x - 2y + 5z = 3
2x + 2y + z = 7
x=
y=
z=
Enter answers with no spaces.
I RLLYYYY NEED HELP YALL
Answer:
X = 64/19
y equals -2/19
z =9/19
Step-by-step explanation:
its very hard to type in the explanation but I know the answer is right trust me I do a level maths
What is the point-slope form of a line with slope -3 that contains the point
(10,-1)?
Answer:
y=-3x+29
Step-by-step explanation:
y=mx+b or c
m=slope=-3
x=10
y=-1
input the given
-1=-3(10)+b
-1=-30+b
29=b
y=-3x+29
The whole number 23 is an example of a prime or composite number.
Step-by-step explanation:
Hey there!
23 is a prime number.
Reason:
Prime number are those numbers which are divisible by 1 and itself.
Example: 5 is divisible by 1 and 5 only. so, it is a prime number.
Composite numbers are those numbers which are divisible by more number.
Example: 6 is divisible by 1,2,3,6 so, it is a composite number as it is divisible by others number expect 1 and itself.
Hope it helps...
23 is an example of a prime number because it has only two factors.
Hope this helps!
~Just a joyful teen
[tex](:GraceRosalia :)[/tex]
A 22-ounce bowl of crackers contains 18 percent cheese crackers. Aida computed 18 percent of 22. Her work is shown below.
18 percent of 22 1.8 times 22 = 39.6
Which statement explains Aida’s error?
Aida did not use 0.18 for 18 percent.
Aida did not multiply 1.8 and 22 correctly.
Aida did not use 0.018 for 18 percent.
Aida did not move the decimal point three places to the left in the answer.
Answer:
Answer is A.
Step-by-step explanation:
Hope it helps.
Answer:
a
Step-by-step explanation:
EDGE 2020
Please help Asap!
Can anyone help and explain it please!
Answer:
9
Step-by-step explanation:
Answer:
x=9
Step-by-step explanation:
set up a proportion
10/15 = 6/x
(or 12/18 = 6/x)
cross multiply:
10x = 90
x=9
Audrey has already scored 53 points,and scored 22 more points with every coin she collects.How many coins does Audrey have to collect to score a total of 97 points
Answer:
Audrey needs to collect 3 more coins.
Step-by-step explanation:
Since she already scored 53 points, we have to find out how many more points she needs to score 97.
So, 97-53=45 points.
The problem says that each coin Audrey collects is worth 22 points. Therefore, 45 divided by 22= 2 remainder 1. However, if she only collects two more coins, Audrey will only have 96 points in total, not 97.
So, add another coin to make 3.
The closest distance towards Venus to the Sun is about 46,000,000 kilometers.The closest distance from Neptune to the Sun is about 4.5 x 10^9 kilometers. About how many times closer to the Sun is Venus than Neptune? Write your answer in standard notation
Answer:
Neptune is 45 million so 1 million difference
The price of Stock A at 9 A.M. was $15.81. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $16.56. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
250.890
Step-by-step explanation:
What’s the answer ??
(2a-b-c)³+(2b-c-a)³+(2c-a-b)³ factorise
Answer:
Sowy but try Mathwa y
Step-by-step explanation:
Which method can be used to prove that AJKL is congruent to AJML?
SSS
OHL
SAS
ASA
Answer:
it is SAS
Step-by-step explanation:
side angle side
triangle JKL is congruent to triangle JML
because they have two equal sides:
JL whitch is common in both of them and ML equal to KL
and the included angles are equal.
Sofia still lives at home, but helps with the rent paying $200 per month. She has a job that pays about $700 per month after taxes. She has to pay for her own personal items such as clothing and toiletries spending about $120 per month. Going out with friends is important to her, but she also wants to save money to buy her own car. Select the budget that would best help meet her goals.
Monthly Budget
Budget A
Budget B
Budget C
Budget D
Income
$700
$700
$700
$700
Expenses -
Rent
Personal Items
Entertainment
Savings
$200
$120
$100
$250
$200
$120
$300
$50
$200
$120
$200
$150
$200
$120
$325
$25
Answer:
Budget A
Step-by-step explanation:
Total monthly budget is;
T = Rent cost + Personal Items cost + Entertainment cost +Savings cost
For budget A;
T_A = $200 + $120 + $100 + $250
T_A = $670
For budget B:
T_B = $200 + $120 + $300 + $50 = $670
Foe budget C;
T_C = $200 + $120 + $200 + $150
T_C = $670
For budget D;
T_D = $200 + $120 + $325 + $25 = $670
We can see the total budget for all is $670.
Her rent and personal expenses have fixed amounts. Thus, the only ones that can vary are Entertainment cost and Savings cost.
Now, in all the budgets, budget A has the highest savings which is $250.
Thus, we can say it's the best budget to help her meet her goals as it still provides $100 for even entertainment which she loves with her friends.
Answer:
budget A
Step-by-step explanation:
Can someone do this for me ill give you brainliest
Answer:I think you make somthing like i think task one would be lets say (Av)task two would be like(Bx) and it would all end out like this C
Av+Bx=C
Step-by-step explanation:
what is the slope of the line that passes through (-3,-1) and (-5,5)
Answer:
[tex]m=-3[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{5-(-1)}{-5-(-3)}[/tex]
[tex]m=\frac{5+1}{-5+3}[/tex]
[tex]m=\frac{6}{-2}[/tex]
[tex]m=-3[/tex]
All of the following are rational numbers: .5, 7, V16
O True
O False
Answer:
Your answer is: A) True
( I say true because 1) .5 2) 7 are rational) ( I dont know about v16, if that is what it is supposed to say, then I cant quite tell)
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Step-by-step explanation:
Hope this helped : )