Answer:
A,B
Step-by-step explanation:
sum of angles of a right angle triangle is 90 meaning the will either be 90 or less and both of them certify this law.
consider the function f(x)=6sin(x-pi/8)+8. What transformation results in g(x)=6sin(x-7pi/16)+1?
Answer: we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.
Step-by-step explanation:
First, let's define the transformations:
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Horizontal shift.
If we have a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
This will move the graph of f(x) to the right or left a distance of N units.
if N is positive, then the shift is to the left
if N is negative, then the shift is to the right.
Here we have:
f(x) = 6*sin(x - pi/8) + 8
and the transformed function:
g(x) = 6*sin(x - (7/16)*pi) + 1
We can assume that the transformations are a vertical shift of A units, and an horizontal shift of B units, then we can write:
g(x) = f(x + B) + A
g(x) = 6*sin(x + B - pi/8) + (8 + A) = 6*sin(x - (7/16)*pi) + 1
Then we must have that:
(x + B - pi/8) = x - (7/16)*pi
B - pi/8 = -(7/16)*pi
B = -(7/16)*pi + pi/8 = -(7/16)*pi +2*pi/16 = (-7 + 2)*pi/16 = -5*pi/16
And we also must have that:
8 + A = 1
A = 1 - 8 = -7
Then the transformation is:
g(x) = f(x - 5*pi/16) - 7
This means that we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.
Solve the perimeter formula for an isosceles triangle, P = 2a + b for a.
a = P + 2b
a = P – 2b
Step-by-step explanation:
subtract b to get P-b=2a. divide each side by 2 to get (P-b)/2=a
Evaluate b/a−1.2 when a=4 and b=12
Answer:
3-1.2=1.8
Step-by-step explanation:
12/4=3-1.2=1.8
Carlos planted 4 flowers in 9 minutes. At this rate, how many flowers can Carlos plant in 36 minutes?
the correct answer is 16
I need help please... 30 points + brainliest if u answer all 5 I'LL DO ANYTHING :'(
1. f(x)=x^2−4x, find f(−3)
2. f(x)=x^2−x, find f(−10)
3. f(x)=3x+1, find f(−3)
4. f(x)=4x−2, find f(8)
5. f(x)=x^2+2, find f(0)
f(x) is a function that takes some number x and outputs another one.
To get the output value, replace every instance of x in f(x) with the given number.
1. If f(x) = x ² - 4x, then
f (-3) = (-3)² - 4(-3) = 9 + 12 = 21
2. f(x) = x ² - x, so
f (-10) = (-10)² - (-10) = 100 + 10 = 110
3. f(x) = 3x + 1, so
f (-3) = 3(-3) + 1 = -9 + 1 = -8
4. f(x) = 4x - 2, so
f (8) = 4(8) - 2 = 32 - 2 = 30
5. f(x) = x ² + 2, so
f (0) = 0² + 2 = 0 + 2 = 2
Cathy has $100 saved to spend on clothes. She wants to purchase a winter jacket for $40 and some sweaters that cost $20 each. How many sweaters can Cathy buy?
Here is a rectangle ABCD.
20 cm
30 cm
The length of the rectangle is increased by 20%.
The width of the rectangle is increased by 10%.
Find the percentage increase in the area of the rectangle.
12
Answer:
32%
Step-by-step explanation:
Area of rectangle ABCD = 20 * 30 = 600 Sq cm
After increasing the length and width of the rectangle by 20% and 10% respectively.
New length = 30 + 20% of 30 = 30 + 6 = 36 cm
New width = 20 + 10% of 20 = 20 + 2 = 22 cm
Area of new rectangle = 36*22 = 792 Sq cm
Increase in area = 792 - 600 = 192 Sq cm
Percentage increase in area
= (192/600) *100
= 32%
Answer:
nnnnnnnfjnjzfv
Step-by-step explanation:
What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? m 4 m ][xz – xı) + x, -4 -2 2 4
Answer:
2
Step-by-step explanation:
im sure its 2 i hope this helps
Solve m+4>9
Please help
Answer:
m>5
Step-by-step explanation:
Let's solve your inequality step-by-step.
m+4>9
Step 1: Subtract 4 from both sides.
m+4−4>9−4
m>5
Answer:
m > 5
Step-by-step explanation:
m + 4 > 9
m + 4 - 4 > 9 - 4
m > 5
Fill in the blanks!!
(Will be given brainliest for the correct answers)
Answer:↓↓↓
Step-by-step explanation:
We are given that side AB is congruent to BD. We are also given that side AC is congruent to CD.
We know that side BC and side CB are congruent because of the Reflexive property.
Therefore, ΔABC and ΔDBC are congruent because of SSS Postulate.
Hope this helped!
Please help for:
5 − 8 −2n = −75
Answer:n
= − 5 , 5
Step-by-step explanation:
Find the length of side a.
A. 2
B. 3
C. 34
D. 9
Juan has $1.30 in dimes and nickels. He has a total of 15 coins. How many dimes does Juan have?
11 dimes and 4 buckles. You're welcome :)
Which sequence explains a geometric method of determining StartFraction 3 minus 17i Over 2 + 2 I EndFraction ?
Write the percent as a decimal.
47.63%.
Answer:
.4763
Step-by-step explanation:
A percent can be made into a decimal by moving the decimal two places to the left.
Can someone answer these two problems??
9514 1404 393
Answer:
B
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx + b
where the slope is m = -3 and the y-intercept is b = +2.
So, the graph will have a slope of ...
"rise"/"run" = -3 = -3/1
and will cross the y-axis at y=2.
Graphs A and B cross the y-axis in the right place, but only Graph B has a negative "rise" a x increases.
10 is 10 times much as
Answer:
10 is 10 times as much as 1 because if you were to multiply 1 x 10, you would get 10.
help me please and thank you
Answer:
A 7.85 cm2 should be right
4(x)squared+3x+3=6(x)squared-4x=6 find x
Answer:
I think if yo seperate 4 from x then seperate 3 from x add those together and you get 18.
Step-by-step explanation:
It sounds right.
what is the measure of the angle in question?
Answer:
? = 114
Step-by-step explanation:
Angle Formed by Two Chords = 1/2 ( sum of Intercepted Arcs)
? = 1/2 ( 53+ 175)
? = 1/2 ( 228)
? = 114
15 POINTS PLEASE HELP!!!
It is the third one because if (gof) is gjudjgui8dfghdgdihhhdghgd
The tape diagram represents an equation.
25
10
w
w
Write an equation to represent the tape diagram.
Choose 1 answer:
A
25 = w - 10
B
25 = 10 + w
Answer:
25=10+w
Because the value of w that makes the equation true is
w=25_10
w=15
Answer:
Step-by-step explanation:
Is the relation is a function, explain. {(8, 5), (7, 4), (6, 4), (5, 5)}
Answer:
Yes, it is a function.
Step-by-step explanation:
As long as there are no more than one x-values for each coordinate, then it is considered a function.
At the beginning of the school year, Bradley bought a new box of 120 crayons. At the end
of the year, only 10% of the crayons are still sharp. How many of Bradley's crayons are
still sharp?
Answer:
12
Step-by-step explanation:
120 divided by 100 = 12
12 multiplied by 10% =12
A pipe is leaking in the school bathroom. It has leaked 3 gallons of water in 6 hours.
COP=
HELPP PLZ
Answer:
It leaks half a gallon each hour.
Step-by-step explanation:
Answer:
Call the plumber
Step-by-step explanation:
If the school people refuse, make a petition. Ask around if they want a new pipe or fix it and collect their signatures. If the school still refuses, you can report them to the cops. If this was a question, it leaks 1/2 gallon per hour.
9 Jean Junction is selling jeans at 25% off the regular price. Jeans regularly sell for $35. What is the cost of the jeans on sale?
Answer:
$26.25
Step-by-step explanation:
we can convert 25% directly to a decimal:
25% = 0.25
Then we find
25% of 35 = 0.25 x 35 = 8.75
35 - 8.75 = 26.25
So the jeans on sale cost $26.25
the sale price of the jeans will be $26.25
An airplane is flying at a height of 3 kilometers on a path that will take it directly over the airport. At a certain instant its slant distance from the airport is 18 kilometers. How far must the plane travel to be directly above the airport?
A 333km
B 315km
C 15km
D 21km
Answer:
its b......................
The airplane must travel [tex]\sqrt{315}[/tex] km to be directly above the airport.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
We have to apply the Pythagoras theorem to solve the problem.
By Pythagoras theorem,
Base² + Altitude² = Hypotenuse²
Given,
Altitude = 3 km
Hypotenuse is the slant distance from the airport = 18 km
Let x be the distance plane must travel to be directly above the airport.
x² + 3² = 18²
x² = 315
x = [tex]\sqrt{315}[/tex]
Hence the distance plane must travel is [tex]\sqrt{315}[/tex] km.
To learn mote about Pythagoras Theorem, click :
https://brainly.com/question/21926466
#SPJ2
pls help!!!!!!!!!!!!!!!!!!!!!!!!!
Examine the following diagram: 2 lines intersect to form 4 angles. From the top, clockwise, the angles are 1, 4, 2, 3. Which statement is not true of the given diagram? m∠2 + m∠3 = 180° m∠2 + m∠4 = 180° ∠3 and ∠4 are vertical angles ∠2 ≅ ∠4
Answer:
The answer is D on edg 2020
Step-by-step explanation:
brainliest plz
Answer:
Its D
Step-by-step explanation:
∠2 ≅ ∠4
What is the value of t in this equation?
Answer:
t = 60
Step-by-step explanation:
Exponents by the power of another exponent multiply.
-12 · -5 = 60
So in this instance, the value of t would be 60.