Answer:
General equation of a line perpendicular to y = − 2x + 3 is y = 1/2x + k where is the k is the y intercept.
Find the focus of the parabola whose equation is y=1/8 x^2
Answer:
The focus is: [tex](0,2)[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{1}{8}x^2[/tex]
Required
Determine the focus
The focus of a parabola
[tex](x- h)^2 = 4p(y - k)[/tex]
is:
[tex](h,k+p)[/tex]
So, we have:
[tex]y = \frac{1}{8}x^2[/tex]
Cross multiply
[tex]8y = x^2[/tex]
Rewrite as:
[tex]x^2 = 8y[/tex]
Rewrite as:
[tex](x - 0)^2 = 8(y - 0)[/tex]
Express 8 as 4 * 2
[tex](x - 0)^2 = 4 * 2(y - 0)[/tex]
By comparison with: [tex](x- h)^2 = 4p(y - k)[/tex]
[tex]h = 0[/tex] [tex]p =2[/tex] [tex]k = 0[/tex]
So, the focus [tex](h,k+p)[/tex] is:
[tex](h,k+p) = (0,0+2)[/tex]
[tex](h,k+p) = (0,2)[/tex]
A carpenter is designing rectangular picture frames to sell at a local craft fair. The frames will be made of wood with a uniform width around the picture, and each frame will have an opening for a 5-inch by 7-inch picture.
A jazz concert brought in $167,000 on the sale of 8,100 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
Answer:
3,550 $15 tixkets and 4,550 $25 tickets were sold.
Step-by-step explanation:
15 × 3550=53250
25 × 4550=113750
53250+113750=167000
Quieres un chocolate?
Please help reply correctly in Spanish
Answer:
sí, (yo) quiero un chocolate
The mean of eight numbers is 41. The mean of two of the numbers is 29. What is the mean of the other six numbers
Answer:
45
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 8 numbers is 41 , then
[tex]\frac{sum}{8}[/tex] = 41 ( multiply both sides by 8 )
sum of 8 numbers = 328
Given the mean of 2 numbers is 29 , then
[tex]\frac{sum}{2}[/tex] = 29 ( multiply both sides by 2 )
sum of 2 numbers = 58
The sum of the remaining 6 numbers = 328 - 58 = 270 , so
mean = [tex]\frac{270}{6}[/tex] = 45
The mean of the other 6 numbers = 45
Find the perimeter of quadrilateral ABCD. Round to the nearest tenth.
Kite A B C D on a coordinate plane with coordinates A 3 comma 5, B 1 comma 3, C 3 comma negative 1, and D 5 comma 3.
11.3 units
14.6 units
17.4 units
56.0 units
Answer:
14.6 units
Step-by-step explanation:
AB = [tex]\sqrt{(1-3)^2+(3-5)^2}[/tex]
AB =[tex]\sqrt{8}[/tex]
BC = [tex]\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}[/tex]
CD = [tex]\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}[/tex]
DA = [tex]\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}[/tex]
Primeter = [tex]\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6[/tex]
Help me please I don’t understand
=========================================
Explanation:
The perimeter around the circle, aka circumference, is found through this formula
C = 2*pi*r
That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.
For the outer larger semicircle, that curved distance is exactly 14pi
For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.
The total curved portions is 14pi+7pi = 21pi
Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14
This is the exact perimeter in terms of pi.
The last thing to do is replace pi with 3.14 and simplify
21pi+14 = 21*3.14+14 = 79.94
This value rounds to 80
A journey between two towns, Pietermaritzburg and Durban, is exactly 90 km 3.1 Use a graph (with at least 5 different speeds in km/h) to model how variation in speed (x) over the journey causes variation in time taken (y) to complete the trip.
Answer:
Speed in km/hr Time in Minutes
90 60
45 120
30 180
15 360
10 540
time Decrease when speed increase
Number of times the speed is increased the number of times time taken is reduced so it is not possible to take no time at all
as we can see from the graph that it is exponential , reduction in time keep reducing with increase in speed
Step-by-step explanation:
-6 - (-8) x 5 ÷ (-10)
Answer:
- 10
Step-by-step explanation:
-6+8×5÷-10
-6+40÷-10
-6-4
-10
Answer and Step-by-step explanation:
According to PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction),
First we multiply, then divide, then finally add/subtract.
-8 times 5 is -40.
-40 divided by -10 is 4.
-6 - 4 = -10
The answer to the expression is -10.
#teamtrees #PAW (Plant And Water)
In two half-lives, how much of a 400-gram sample of a radioactive element will remain un-decayed?
Answer:
100 grams
Step-by-step explanation:
1/2 * 1/2 = (1/2)² = 1/4
1/4 * 400 = 100
What is the answer to this??
Answer:
C
Step-by-step explanation:
What is the perimeter of ABC?
Perimeter = ___ units.
Answer:
12 units
Step-by-step explanation:
From the given figure,
AB=4 units & BC=3 units
By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]
Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]
Thus, AC=5 units
Now, perimeter of triangle is equal to the sum of all sides.
Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units
A committee must be formed with 3 teachers and 3 students. If there are 10 teachers
to choose from, and 15 students, how many different ways could the committee be
made?
Answer:
54,600 ways
Step-by-step explanation:
i hope you understand this
i need help please on this question
Look at the triangle below which of the following represents two of the angle measures of the triangle
Answer:
C. 60° and 80°
Step-by-step explanation:
Sum of triangle = 180°
Therefore,
8x + 4 + 6x - 2 + 10x + 10 = 180
Add like terms
8x + 6x + 10x + 4 - 2 + 10 = 180
24x + 12 = 180
24x = 180 - 12
24x = 168
x = 168/24
x = 7
Find each measure of the angles by substitute x = 7 into each expression
8x + 4 = 8(7) + 4 = 60°
6x - 2 = 6(7) - 2 = 40°
10x + 10 = 10(7) + 10 = 80°
The answer is 60° and 80°
Find the dimensions of a cube with a
volume of 125 cubic cm. (Hint: Remember
that a cube has equal dimensions
because all the sides are squares.)
5) 63 peaches in 7 bowls
Rate :
Unit Rate :
6) 480 hours of work in 12 weeks
Rate :
Answer:
9 peaches per bowl
40 hours each week
Answer:
Your mom
Step-by-step explanation:
tan(pi/2)=_
A. -1
B. 0
C. 1
D. Undefined
AP3X
Answer:
I don't know the answer
Step-by-step explanation:
c.1
The following ordered pairs represent a function. (-2,-1) (-1,0), (0,1), (1,2), (2,3)
help quick
Answer:
c
Step-by-step explanation:
your welcome! :) ❤❤❤❤❤❤❤❤❤❤❤❤
3/4(2x-6)-2(1/2x+1)-1+5x
Answer:
Distribute:
=(
3
4
)(2x)+(
3
4
)(−6)+(−2)(
1
2
x)+(−2)(1)+−1+5x
=
3
2
x+
−9
2
+−x+−2+−1+5x
Combine Like Terms:
=
3
2
x+
−9
2
+−x+−2+−1+5x
=(
3
2
x+−x+5x)+(
−9
2
+−2+−1)
11
2
x+
−15
2
Step-by-step explanation:
Candace invests $636 in an investment that pays 7% interest compounded quarterly. What is her annual effective yield? Input answer as a percentage to two decimal places.
Answer:
7.19%
Step-by-step explanation:
let i be the effective rate
[tex](1+\frac{.07}{4})^4=(1+i)\\.071859031[/tex]
The annual effective yield will be 7.19% for the investment.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Given that Candace invests $636 in an investment that pays 7% interest compounded quarterly.
The annual effective yield will be calculated as below:-
[ ( 1 + ( 0.07 / 4 )⁴ ] = ( 1 + i)
Solve the equation:-
i = 0.0718
i = 0.0718 x 100 = 7.19%
Therefore, the annual effective yield will be 7.19% for the investment.
To know more about compound interest follow
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If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence
Step-by-step explanation:
Math is a language
say you plant two posts that are 5ft apart and you want to get up to 60ft
right now you've covered 5ft and now have 60 - 5 = 55ft to go.
you plant the next one: 55 - 5 = 50ft to go
instead of subtracting many times and counting hiw many times we've subtracted, we can use division
60ft / 5ft = 12 posts
to verify, you can multiply 5 and 12 which is the same as adding 5 + 5 + 5 + 5 +... + 5 = 5ft x 12 Posts= 60ft in total length
There are 12 posts for 60 feet of straight line fence.
Here,
Given that,
Post are space 5 feet apart.
We have to find number of posts for 60 feet of straight line fence.
What is Division method?
This method of distributing a group of things into equal parts is termed as division.
Now,
We can division method to find number of posts for 60 feet of straight line fence.
Here, Post are space 5 feet apart.
Number of posts = [tex]\frac{60}{5} = 12[/tex]
Hence, There are 12 posts for 60 feet of straight line fence.
Learn more about the Division method visit:
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can someone help me with this please
Answer:
B
Step-by-step explanation:
This is because the difference of two squares follows the general equation of (x-a)^2 - a^2 - c
Answer:
It's a
Step-by-step explanation:
[tex] \frac{1}{4} {x}^{2} - 1[/tex]
[tex]{( \frac{1}{2} x)}^{2} - {1}^{2} [/tex]
Find X round to the nearest 10th 21 and 52°
Answer:
x is triangle
Step-by-step explanation:
sudsy baka
Help plzzz and no links plz and thank you
Answer:
It's B, Points a and f. -5 and 5
What is the point-slope form of a line with slope 3 that contains the point
(2, 1)?
O A. y-2 = 3(x-1)
O B. y-2 = 3(x + 1)
O c. y-1 = 3(x - 2)
O D. y + 1 = 3(x + 2)
SUBMIT
Answer:
y-1 = 3(x-2)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-1 = 3(x-2)
I need help Thank you i will give brinalist
Answer:
the answer to this is c no association.
Answer:
C
Step-by-step explanation:
The scatter plot doesn't look linear at all. Therefore, there is no association to game attendance and games won.
Bonjour, je suis en 4e et j’aimerais que vous m’aidiez avec cette feuille d’exercice s’il vous plaît ? (en précisent vos réponses).
Merci d’avance.
Step-by-step explanation:
1. Soit
T = le coût d'un ticket
5T + 1.8 = 35
T = (35-1.8)/5 = 6.64
On ne sait pas le coût d'un ticket de tramway! :(
2.
a.
1 h : 60 min
x : 18
x = 1*18/60 = 0.3, ou 0.3h
b. => 1h18m = 1.3h
3. 16 L : 4 h
a.
x L : 365*24
x = 365*24 * 16/4 = 35040 L
b.
1 m^3 = 1000 L : 5.2 euros
35040 L : y euros
y = 5.2*35040/1000 = 182.21 euros (au centième)
4.
a. Voir graphique ci-attachée.
b. On voit bien que tous les points tombent sur la droite passant par l'origine, donc la relation est linéaire, ou proportionnelle.
c. La hauteur requise pour 270L est de 100 cm, approximativement, selon la graphique.
Notez la ligne bleue horizontale.
d. L'équation de la capacité (C) versus la hauteur (h) est
C(h) = (8/3)h
Pour C=270, 270 = (8/3)h => h=270*(3/8) = 101.25
5. et plus
Désolé, on vous conseil de soumettre une question de 4 parties ou moins.
What is the net price if a purchase would have come to $1,500 at the regular price, but a 3% discount applies to this purchase.
Step-by-step explanation:
100%-3%=97%
$1500*97%=$1455
C=(7,-4) and D= (-8,5) CD=?
Answer:
Step-by-step explanation:
[tex]x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}[/tex]
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2}-y_{1})^{2}}[/tex]
