Let's do
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k[/tex]
Release k for some while
If
we take h=0So
y=3/xSo vertical asymptote is at origin now
It mentioned that it's at x=-5 so we need to change x
put -5 in place of h[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}[/tex]
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x+5}[/tex]
Vertical asymptote at x=-5Now
for k=0 horizontal asymptote at originBut it's given
y is at 12Same put y=12 in place of k
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12[/tex]
h=-5k=12Graph attached for verification
Answer:
h(x)=3/x+5 +12
Step-by-step explanation:
Ketki and Kunal are playing a game where they are making triangles in different scenarios.
In which of the following situation the triangles made by them would be congruent?
( i ) Both making a triangle FUN with side FU=4cm and angle F= 60º
( ii ) Both making an equilateral triangle ARE.
( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm
( iv ) Both making triangle DIP with all angles equal.
The situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes length of line segment AB, and so on for others).
For two triangles being congruent, we need at least:
Either, 3 corresponding side pairs are congruent. (SSS congruency), Or, any 2 corresponding sides and angle between them are congruent. (SAS congruency).Or, any 1 side of same measurement as its corresponding side in other triangle with two angles on its endpoints of same measurement as per their corresponding angles in the other triangle. (ASA congruency).Checking all the options:
( i ) Both making a triangle FUN with side FU=4cm and angle F= 60ºOnly one side and one angle are not enough.
( ii ) Both making an equilateral triangle ARE.Two equilateral triangles are not necessary to be congruent. Example, one equilateral triangle has sides of 3 units, and other triangle has sides of 5 units.
( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cmTwo sides TR and RY and a non-included angle T is given. This doesn't satisfy SAS' condition. But since it is given that:
Angle T is right angled, so we now know that RY is going to be hypotenuse.
Using this fact, and the fact that |RY| = 5 cm, |TR| = 4 cm, and Pythagoras theorem, we can get |TY| = 3 cm.
Thus, it will complete SSS condition, and therefore, by SSS congruency, the triangles made in this case would be congruent.
( iv ) Both making triangle DIP with all angles equal.All angles(corresponding) being equal implies similarity, but not congruence.
Thus, the situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm
Learn more about congruent triangles here:
https://brainly.com/question/16921692
#SPJ1
Place the indicated product in the proper location on the grid. (a - b)(a 2 + ab + b 2)
Answer:
a^3 + b^3
Step-by-step explanation:
(a + b)(a^2-ab+b^2)
a(a^2 -ab +b^2) +b(a^2-ab+b^2)
a^3 - a^2b +ab^2 + ba^2 -ab^2 +b^3
a^3 -a^2b +a^2b ab^2-ab^2 + b^3
The final answer will then be:
a^3 + b^3
Hope this helps! Have a great one! And I give out the best of luck for whatever quiz this is on!
Answer:
a^3 - b^3
Step-by-step explanation:
a^3+a^2b+ab^2 -a^2b -ab^2 -b^3
a^3 - b^3
Is the answer to 15% of 45 6.75?
Answer:
Yes
Step-by-step explanation:
What is 15 percent of 45? = 6.75.
Annita is sewing a lace edge around a rectangular quilt. She will need 146 inches of lace to do the entire quilt. If the quilt is 38 inches wide, how long is the quilt?
Answer:
35 inches long
Step-by-step explanation:
the answer is 35 inches long because if you do 38x2 because of the two sides you will get 76 then subtract 76 from 146 then you will get 70. Then do 70÷2 to find out the other side and i got 35
1. Jeremy rode his bike 9 miles in 3
hours. At this same rate, what is the
total number of miles Jeremy could
ride in 4 hours?
Answer:
12
Step-by-step explanation:
first, find the unit rate. to get the unit rate, we would figure out how many miles he can ride in 1 hour. to get this, divide by 3, to get hours to 1 instead. now divide miles by 3 to get 3 mph. multiply by 4, and you have your answer.
help please :(((((((
Answer do your work
Step-by-step explanation:
What is the area of this octagon?
Answer options with 5 options
A.
72 centimeters squared
D.
38 centimeters squared
B.
59 centimeters squared
E.
31 centimeters squared
C.
42 centimeters squared
Answer:
please send the image to enable me to answer
In the xy-plane, the graphs of y = x2 - 8x + 18 and y = - 4x + 14 intersect at point (a, b). What is the product of a and b?
Answer:
12 and 5
Step-by-step explanation:
there are 50 peoples at a meeting. They each shake hands with everyone else. How many handshakes were there?
What was the opening price of Dow Jones Industrial Average on Jan 08, 2018 in the format of XXXXX.XX?
Answer:
This implies that the opening price was 21080.28. Explanation: The Dow Jones Industrial Average measures the stock performance of 30 large
Someone help me answer I need help
Answer:
Step-by-step explanation:
Is that Ed genuity?! I used to use it. I had the same problem once!
What is the value of X?
Answer:
30
Step-by-step explanation:
All of the angles add to 180 degrees for a triangle
x + 2x + 3x = 180
6x = 180
x = 30
will (2)/(5)+\sqrt(3) be rational or irrational
Answer
rational
Step-by-step explanation:
How many outfits consisting of a suit and a tie can a man select if he has two suits and nine ties?
Answer:
2 outfits and 7 ties left
Step-by-step explanation:
Answer: my guess is 18 or 4 because you can multiply 2*9 or divide 9/2 which gives you 4.5
You could round it but then it would just be 4 outfits and a half which wouldn’t make sense so it’s best if 4. I really hope if I helped because honestly I was confused too lol have a good day
Step-by-step explanation:
Which statement about the function represented by this graph is true?
Step-by-step explanation:
There is no options but I think the graph equation is
[tex]f(x) = \sqrt{x} + 2[/tex]
The graph of part of the liner function G is shown on the grid which and inequality best represents the domain of the part shown
PLEASE ANSWER ASAP I WILL MARK BRAINIST I WILL GIVE OUR FREE MORE POINT PLEASE AND THANK!!!YOU
Note that
For a pair (x,y)
x is domain y is rangeHere x goes from
-9 to 2Hence domain
-9<x≤2As There is open dot on -9 we used <
wanting some extra help with factoring while knowing what method it would be like gcf or grouping etc
d) You have a difference of squares:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the sum-product method. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the sum-product method. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
#1
49y²-9(7y)²-3²(7y-3)(7y+3)#2
3x²-3x-903(x²-x-30)3(x-6)(x+5)#3
x²-13x+42x²-7x-6x+42(x-7)(x-6)could someone please help me with this? and PLEASE NO FAKE ANSWERS SERIOUSLY NO
and if you want there are more questions on my profile that are worth 50 points
will be quite happy if someone can help with any of this
Answer:
(a) 5 units up
(b) 3 units right
(c) 7 units left
Step-by-step explanation:
Parent equation: [tex]y=x^2[/tex]
Transformed equation: [tex]y = (x - h)^2+ k[/tex]
h translates the parabola horizontally
If h > 0 then the translation is h units to the right.
If h < 0 then the translation is h units to the left.
If h = 0 then there is no horizontal translation.
k translates the parabola vertically
If k > 0 then the translation is k units up.
If k < 0 then the translation is k units down.
If k = 0 then there is no vertical translation.
Part (a)
Given equation: [tex]y=x^2+5[/tex]
Rewriting in transformed equation form: [tex]y=(x-0)^2+5[/tex]
Therefore, the parabola is translated 5 units up.
Part (b)
Given equation: [tex]y=(x-3)^2[/tex]
Rewriting in transformed equation form: [tex]y=(x-3)^2+0[/tex]
Therefore, the parabola is translated 3 units right.
Part (c)
Given equation: [tex]y=(x+7)^2[/tex]
Rewriting in transformed equation form: [tex]y=(x+7)^2+0[/tex]
Therefore, the parabola is translated 7 units left.
Part (d)
Given equation: unreadable
What is the value of n?
Henry opened his account with a starting amount of $920, and he is going to take out $60 per month. Write an expression for the amount of money in Henry’s account after x months.
$920 - $60x
Step-by-step explanation:
after one month, he try would have taken out 60 x 1 dollars, after two months, 60 x 2, 3 months, 60 x 3, etc. so after x months he would have taken out 60x (60 times x) dollars. if he starts with 920 dollars, he would be left with $920 - $60x.
<3
(2 – 3i) and (4 + 3i)
The product of the two complex numbers above is a - 6i, where a is a constant. What is the value of a ?
(Note: i = -1)
Expanding the product gives
(2 - 3i) (4 + 3i) = 8 - 12i + 6i - 9i² = (8 + 9) + (6 - 12) i = 17 - 6i
so a = 17.
Math work I need help please.
Answer:
Rectangular Pyramid
Step-by-step explanation:
The shape is a rectangle. Thus, leaving only two viable answers.
The picture is not a prism. Hence, the only option left is a rectangular pyramid.
How many eights are there in 41/4?
Answer:
If you are meaning how many times can you subtract 8 from the answer with it still being a positive number, then 1. Otherwise 0
Step-by-step explanation:
Use the power reducing formula to rewrite sin^4(6x) in terms of the first power of cosine
The reduced form of Sin⁴(6x) in terms of the first power of Cosine is; 1 - 1/4(Cos (24x)).
Reducing Trigonometric identitiesIt follows from the task content that;
Trigonometric identity, Sin⁴(6x) = 1 - Cos⁴(6x)Hence, from product identity;
Cos⁴(6x) = (1/2) (Cos²(12x)Upon further use of the product identity;
(1/2) (Cos²(12x) = 1/4(Cos (24x)).On this note, it follows that use of the power reducing formula on the function sin⁴(6x) is;
= 1 - 1/4(Cos (24x)).Read more on power reducing formula;
https://brainly.com/textbook-solutions/q-exercises-35-38-use-power-reducing-formulas-c7freu
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
it'll be (2,3)
hope it helps...!!!
Select two ratios that have the same unit rate as 2:4
A. 1:3
B. 1:2
C. 3:5
D. 5:10
E.4:6
F. 6: 10
Answer:
B and D
Step-by-step explanation:
2:4 when divided by 2 gets you 1:2
and 2:4 multiplied by 2.5 gets you 5:10
Answer:
B and D
Step-by-step explanation:
So basically we have to find the unit rate of 2:4.
(remember to find the unit rate we have to simplfy the ratio until one of the quantities is 1)
2:4 (divide by 2 on each side)
1:2 (B)
now we can use this unit rate of 1:2 to find out other equal ratios
1:2 (multiply 5 on both sides)
5:10 (D)
Easy math what ones right
What is the mean of 10 13 11 10 5 9
Answer:
9.66667
Step-by-step explanation:
The average of all the data in a set.
Answer: [tex]9\frac{2}{3}[/tex]
Step-by-step explanation:
To find the mean we must add all of the numbers together and then divide them by the amount of numbers in the set
This set has 6 numbers
I will solve the addition step by step instead of all at once to make it easier to understand
[tex]\frac{10+13+11+10+5+9}{6} \\\\\frac{23+21+14}{6} \\\\\frac{44+14}{6} \\\\\frac{58}{6} \\\\9\frac{2}{3}[/tex]
At a farm the ratio of cows to horses was 7 : 2 if there were 21 cows at the farm, how many horses were there?
The running event is 3.1 miles long. Supposed it takes you 8 minutes to run a mile. What this time allow you to reach your goal? Explain your reasoning. At 8 minutes per mile, it would take you 10 minutes to run 3.1 miles. You cannot meet your goal because your total running time added to your swimming and biking times is less than 100 minutes
The time it would take you to run 3.1 miles given the time it takes you to run a mile is 24 minutes 48 seconds.
Wha is multiplication?
Multiplication is a mathematical operation that is used to determine the product of a number. The sign used to represent multiplication is ×.
How long would it take you to run 3.1 miles?In order to determine the time, multiply 3.1 miles by 8 minutes
3.1 x 8 = 24.8 = 24 minutes 48 seconds.
To learn more about multiplication, please check: https://brainly.com/question/13814687