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Explanation:
Let's say that a = 25, b = 37 and c = 32 are the side lengths.
The uppercase letters A,B,C are opposite their lowercase counterparts.
That means angle A is opposite side a = 25
Apply the law of cosines to find angle A
a^2 = b^2 + c^2 - 2*b*c*cos(A)
25^2 = 37^2 + 32^2 - 2*37*32*cos(A)
625 = 1369 + 1024 - 2368*cos(A)
625 = 2393 - 2368*cos(A)
625 - 2393 = -2368*cos(A)
-1768 = -2368*cos(A)
-2368*cos(A) = -1768
cos(A)= (-1768)/(-2368)
cos(A) = 0.746621621621622
A = arccos(0.746621621621622)
A = 41.7014263373247
A = 41.7
Solve.
5. The graph of f(x)= x is reflected across the x-axis. The graph is then
translated 11 units up and 7 units to the left. Write the equation of the
transformed function.
Given:
The function is:
[tex]f(x)=x[/tex]
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left.
To find:
The equation of the transformed function.
Solution:
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If k<0, then the graph is reflected across the x-axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left. So, [tex]k=-1, b=11, a=7[/tex]. Putting these value in (i), we get
[tex]g(x)=(-1)f(x+7)+11[/tex]
[tex]g(x)=-(x+7)+11[/tex] [tex][\because f(x)=x][/tex]
[tex]g(x)=-x-7+11[/tex]
[tex]g(x)=-x+4[/tex]
Therefore, the required function is [tex]g(x)=-x+4[/tex].
Is this correct!! Can someone verify!!
Ryan took a hike on sunday. he hiked uphill for 15 minutes. then he hiked another River for 12 minutes. he hiked downhill for 8 minutes along a river for 5 minutes. how many seconds did Ryan hike on Sunday? plz help
Answer:
2400 seconds
Step-by-step explanation:
Answer:
40 min = 2400 sec
Step-by-step explanation:
Hi can someone please help me with this thanks
Points A(7, -5), B(-1, -2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n)
triangle
The answer is scalene
NEED ASAP NOWWWWWW TY
Answer:
subtract 8 from both sides
Step-by-step explanation:
hey, this is the last thing I'm asking help with today.thank you
Answer:
A
Step-by-step explanation:
the middle angle has to be equal to make the entire angle equal
what do you means by. India gate
Answer:
The India Gate (formerly known as the All India War Memorial) is a war memoria)
Step-by-step explanation:
it's a place
6.
Determine the range of the following test scores.
History Test 2 Scores (out of 100)
95
92
89
88
85
85
84
80
78
73
72
72
70
68
67
62
59
52
40
32
a.
95
b.
32
72
c.
d.
63
Answer:
63 is the range of the following test scores.
Step-by-step explanation:
1. The largest number is 95.
2. The smallest number is 32.
3. The range is the difference between the largest and the smallest number.
4. Subtract 95 - 32 which equals 63.
5. 63 is the range of the following test scores.
Write an equation of the line that passes through the point (2, -3) and has a
slope of -1.
Answer:
Y = -1x - 1
Step-by-step explanation:
I used desmos graphing calculator and tried until I got a line that worked. It passes through (2, -3) and has a slope of -1
Hope this helped :)
write the set builder form of
{1, 1/4, 1/9, 1/16, 1/25}
Please help me.
The table below represents the closing prices of stock ABC for the last five
days. Using your calculator, what is the equation of linear regression that fits
these data?
Answer:
Step-by-step explanation:
I can tell you how to do this on your calculator, but I have no idea what kind of calculator you have and the methods are different for the various TI graphing calculators, so I'll just tell you that your answer is the last choice given. It's a terrible fit, but if the instructions say linear, the last choice is the equation that the calculator gives.
The regression equation for Y is: ŷ = -0.223X + 20.523
What is Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Sum of X = 15
Sum of Y = 99.27
Mean X = 3
Mean Y = 19.854
The sum of squares (SSX) = 10
The sum of products (SP) = -2.23
Regression Equation = ŷ = bX + a
b = SP/SSₓ = -2.23/10 = -0.223
a = My - bMₓ = 19.85 - (-0.22*3) = 20.523
ŷ = -0.223X + 20.523
Learn more about Linear equations here:
https://brainly.com/question/11897796
#SPJ5
Round 27834 to 2 significant figures
28000 is the answer.
you count two numbers from front and approximate
hiiii ^-^ need help again with some math ikr math sucks -v-
Answer:
5a) -8 . Plan : addition/negative?
5b) -30 . Plan: subtraction/negative?
Step-by-step explanation:
Im not so sure about what "Plan" means, hopefully you know..
5a)
-15 + 7 = 7 - 15 = -8
5b) -10 +(-20) = -10 - 20 = -30
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Below
Step-by-step explanation:
So lets start with the first one:
-15+7
We are going to add these together, and will get -8.
Next we have:
-10+(-20)
When there is both a subtraction or negative sign, and a plus sign, the plus sign is removed.
So we can think of this as:
-10-20
And since the -10 is negative, and we are subtracting it, it is going to get more engative:
-10-20=-30
This is the solution answer.
I do not know what the answer to the plan is, i dont understand what plan means.
help with the question below please!!
Answer:
a.= 24 b.=-21 c. is x=-7 or 3
Step-by-step explanation:
Step-by-step explanation:
a) f(5)= 5² + 4 x 5 -21
=24
b) f(0)= 0² + 4 x 0 -21
= -21
c) f(x)= 0
=> x² + 4x -21 =0
=> x = 3, x= -7
A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. If
the diver rises toward the surface too fast, he may suffer from a physical condition called “the bends.”
Suppose the diver started at 100 feet below the surface and rose in five steps of 15 feet each. Use an integer
to describe his new position in relation to the water surface.
Answer:
15x=100?
Step-by-step explanation:
this equation would show how many steps it takes to get to the surface sorry if this isnt the answer u wanted
Answer:
-25
Step-by-step explanation:
he rose 75 feet from being under 100 feet of water, making him 25 feet below the water's surface
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer: 3 7/12
Step-by-step explanation:
1. Solving the whole number
4-1=3
2. Solving the fraction parts
3/4 - 1/6=
Find the LCM. The LCM is 12 so we rewrite the factions like this:
9/12-2/12=7/12
3. Add.
3+ 7/12= 3 7/12
Hey there!
4 3/4 - 1 1/6
= 19/4 - 7/6
= (19 × 6) - (7 × 4) / 4 × 6
19 × 6 = 114
7 × 4 = 28
= 114 - 28 / 4 × 6
4 × 6 = 24
114 - 28 / 24
114 - 28 = 86
= 86/24
= 3 7/12
Answer: 86/24 OR 3 7/12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The width of classroom is 4 meters less than the length, and the area is 192m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom
Step-by-step explanation:
x(x-4) = 192
the Equation:
x²-4x -192 =0
=> (x-16) (x+12) =0
x= 16 or x= -12
since the x should be a possitive, so x = 16
the dimension :
the length = 16 m
the width = 12 m
test the validity of these statement "if my brother stands first in the class, i give him a watch . Either he stood first or I was out of the station I did not give my brother a watch this time . Therefore I was out of station.
Answer: yeah looks logically correct
Step-by-step explanation: I he got the watch he was 1st
Fact is he didn't get the watch therefore he wasn't first
Therefore 2nd holds true also - if not first then not in station
No watch = not in station
Evaluate the expression when a = 4 and c= -6
-a + 3c
Answer:
-22
Step-by-step explanation:
if a = 4, then it will be
-4 + 3(-6)
-4 - 18
which will be equal -22
4 + 3 × -6 = -22
Your welcome! :)
Hallar el menor número no divisible por 4, 6, 9, 11 y 12, tal que al dividirlo por estos números se obtengan restos iguales.
Answer:
397
Step-by-step explanation:
Sea 'p (x)' el número que no es divisible por 4, 6, 9, 11 y 12 de manera que cuando se divide por estos números da un resto igual, tenemos;
Por teorema del resto, tenemos;
p (x) = (x - a) · Q (x) + R
Dónde;
p (x) = El número, que se divide
Q (x) = El cociente
(x - a) = El divisor
R = El resto
Dado que el número más pequeño es 4, el resto, 0 <R <4
Para el número entero más pequeño arriba (x - a) · Q (x), tenemos;
R = 1
Observamos que el mínimo común múltiplo de 4, 6, 9, 11 y 12 = 396, por lo tanto, podemos tener;
(x - a) · Q (x) = 396
R = 1, dar;
p (x) = 396 + 1 = 397
Por lo tanto;
El número que no es divisible por 4, 6, 9, 11 y 12, de manera que cuando se divide por estos números da residuos iguales, p (x) = 397
What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?
Answer:
[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]
Step-by-step explanation:
[tex]2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\[/tex]
[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]
what is the answer? becuase i am just confused
Answer:
Step-by-step explanation:
radius of circle is 12
also there is 2 right angles in the triangle if you wanted to solve this problem yourself
but here's the answer:
arc angle of the triangle inside the sircle is double the angle closest to x.
(the pointy area of the triangle is half the angle length of the arc)
i can add more though:
A sign has 3 identical parallelogram-shaped stripes as shown. Charles must
outline each stripe with reflective tape. Is one roll of 86 inches of tape enough to
finish the job? Explain.
Answer:
it looks like the length of one of the parts is
Step-by-step explanation:
sqrt(125) from 10^2 +5^2 = sqrt(125) using the pathogen Therom since the 3 lines are identical since they are parallel you multiply sqrt(125) by 3
so 3×sqrt(125)=33.54 inches of tape which is way less then than 86
find the area for this figure
Find the volume of a right circular cone that has a height of 20 ft and a base with a
radius of 9.1 ft. Round your answer to the nearest tenth of a cubic foot.
Find the distance between the points A(-6,8) and B(12, -7) by using the distance formula or Pythagorean Theorem.
For which situations is it appropriate to use a sample? Select three options.
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
What is the average number of rainbows each year in Honolulu?
How many pedestrians would use a walkway built over a busy road?
How many police cars are equipped with computers?
What is the most popular car color in the teachers’ parking lot?Answer:
Step-by-step explanation:For which situations is it appropriate to use a sample? Select three options.
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
What is the average number of rainbows each year in Honolulu?
How many pedestrians would use a walkway built over a busy road?
How many police cars are equipped with computers?
What is the most popular car color in the teachers’ parking lot?
Please help me i'm struggling!
Answer:
c
Step-by-step explanation:
Answer:
x is greater than or equal to 3
So it is the first answer.
Multiply the rational expressions 2x^2 - 4x - 6 x^2 - 4 ——————- • ——————— x + 2 2x^2 + 2x
Answer:
C =(x-3)(x-2)/x
or
x²-5x+6/x
Step-by-step explanation:
2x^2 - 4x - 6/x + 2 * x^2 - 4/2x^2 + 2x
Factorizing the given factors
1) 2x^2 - 4x - 6
= 2x^2 - 6x+2x - 6
= 2x(x-3) +2(x-3)
= (x-3)(2x+2)
2) x^2 - 4
= (x+2) (x-2)
3) 2x^2 + 2x
= 2x( x+1)
Putting the factors
(x-3)(2x+2)/x + 2 * (x+2) (x-2)/2x( x+1)
= (x-3)(2x+2) (x-2)/2x( x+1)
= 2(x-3)(x+1) (x-2)/2x( x+1)
=(x-3)(x-2)/x
Now multiply
(x-3)(x-2) =x²-5x+6
Then the answer becomes x²-5x+6/x
Please help me‼️
Question: select all the equations that can be represented by a straight line when graphed on the coordinate plane
Answer:
B, D, EStep-by-step explanation:
Straight line equation is in the form of:
ax + by = cLets verify the options:
A- no, simplified, it is 1 + xy = 9xB- yesC- no, because of y²D- yesE- yesF - no, simplified it is a quadratic equation