Step-by-step explanation:
since the triangle CDE is an isoceles triangle (the 2 legs DC and DE are equally), the 2 angles at its baseline CE are equal.
combined with the fact that the sum of all angles in a triangle is always 180 degrees we can therefore say :
180 = 32 + 2× base angle
148 = 2× base angle
base angle = 74 degrees.
the angle DEC is one of these base angles and therefore 74 degrees.
and because of the symmetry of angles of crossing lines, this is equal to the angle AEB.
the triangle AEB is also an isoceles triangle. the angle A is one of its base angles at the baseline AB.
so, the same principle as before :
180 = 74 + 2× base angle
106 = 2× base angle
base angle = 53 degrees.
so, angle A is 53 degrees.
Is Scrooge a static or dynamic character? Explain your answer with examples from the story. Please be sure you do not use your book; only give examples from what you remember. Write at least three sentences.
Answer:
do u need help?
...uhmm...ok i will help u.....i-if t-thts o-ok with y-you i-guessFor what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1? f (x) = StartFraction 2 x Superscript m Baseline Over x a EndFraction a = –1, m = 0 a = 1, m = 0 a = –1, m = 1 a = 1, m = 1.
Answer:
C. a= -1, m=1
Step-by-step explanation:
hope i helped, have a great day :)
For the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex], if the horizontal asymptote is at y = 2 and vertical asymptote is at x = 1, then a = -1 and m = 1.
What are Asymptotes of a Function?There are asymptotes like horizontal, vertical and oblique asymptotes.
Horizontal asymptote is the value of the function f(x) as x goes to ±∞, as long as this value is not infinity.
Vertical asymptotes are the values of x which are not in the domain of the function f(x). For a fractional expression it is found by letting the denominator equals zero.
The given function is,
f(x) = [tex]\frac{2x^m}{ x + a}[/tex]
Horizontal asymptote of this function is at y = 2.
lim x → ∞ f(x) = 2
lim x → ∞ [tex]\frac{2x^m}{ x + a}[/tex] = 2
Eliminate 'a' in the denominator, because as x tends to infinity a + x also tends to infinity.
lim x → ∞ [tex]\frac{2x^m}{ x }[/tex] = 2
For the left hand side to become 2, [tex]x^m[/tex] in the numerator and x in the denominator should get cancelled.
⇒ [tex]x^m[/tex] = [tex]x[/tex]
⇒ m = 1
Vertical asymptote of the function is at x = 1.
Let x + a = 0
⇒ 1 + a = 0
⇒ a = -1
Hence we get the values a = -1 and m = 1 for the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex] to have the horizontal asymptote at y = 2 and vertical asymptote at x = 1.
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Seven times the sum of a number and 1 is 28. What is the number? Enter your answer in the box.
Answer:
3 + 1 * 7 = 28 I don't know if that's what you want but
Answer:
The answer is 3
Step-by-step explanation:
Ok so basicaly the equation is 7(x+1)=28
there really is no hard math involved. I did it pretty quick in my head.
28/7=4
4-1 = 3
so ya
I don’t feel like solving it
Answer:
i cant see the paper srry
Step-by-step explanation:
Pleease please please help me! asap <3 30 points! pls make sure its right UwU thx im timed :(
The function f(x)is shown in the graph.
What is the equation for f(x)?
Enter your answer in the box.
f(x) =
Answer:
f(x) = -x -1
Step-by-step explanation:
f(x) = mx + b
find 2 points on the line:
A( -1 , 0)
B( 0 , -1)
Put them in the equation and fine m & b:
0=m(-1)+b
-1=m(0)+b
so b= -1
and m= -1
so f(x) = -x-1
Answer:
-x - 1
Step-by-step explanation:
line is passing through (-1, 0) (0, -1)
m = (-1 - 0) / (0 - (-1) )
= -1 / 1
= -1
line equation = y - y1 = m (x - x1)
y - 0 = -1 (x - (-1) )
y = -1 (x + 1)
y = -x - 1
y = f(x)
Which expression is equivalent to −40+(−20)+(−60) ?
−(40−20)+(−60)
−40−(20−60)
40 + 20 + 60
−20+(−40)+(−60)
Answer:
the answer is -120
-800120-120so the answer is -120
-2 + 3x = 6wv, for x
(please provide a step by step answer!)
Answer:
Step-by-step explanation:
-2 + 3x = 6wv
Add 2 to both sides
3x = 6wv + 2
Divide the entire equation by 3
[tex]\dfrac{3x}{3}=\dfrac{6wv+2}{3}\\\\\\x = \dfrac{6wv+2}{3}[/tex]
F(x)=-x^2-12 to find (-3)
Answer:
[tex]{ \boxed{ \mathfrak{ \: answer : \: { \rm{f( - 3) = - 21}} }}}[/tex]
Step-by-step explanation:
[tex]{ \rm{f(x) = - {x}^{2} - 12 }}[/tex]
• When x is -3:
[tex]{ \rm{f( - 3) = - {( - 3)}^{2} - 12}} \\ \\ { \rm{f( - 3) = - 9 - 12}} \\ \\ { \rm{f( - 3) = - 21}}[/tex]
if you answer this i will give you brainlyist what is infinity x infinty bonus 2+2
Answer:
infinity^2
2+2=4
Step-by-step explanation:
Answer:
Infinity^2, 4
Step-by-step explanation:
Infinity x Infinity = Infinity^2
2 + 2 = 4
oo + oo = oooo
Decide whether f(x)=-3x+5x^3-6x^2+2 is a polynomial function if the function is a polynomial function write it in standard form and state its degree type and leading coefficient
Answer:
yes it is a polynomial
5x^3 - 6x^2 - 3x + 2
cubic polynomial
leading coefficient = 5
Step-by-step explanation:
The polynomial in standard form as 5x³-6x² -3x+2
and the polynomial is of degree 3 and the leading coefficient is 5.
What is Polynomial?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
Example: The standard form of the polynomial 5 + 2x + x² is expressed.
We shall first determine the polynomial's degree before expressing it in standard form.
The degree of the provided polynomial is two. Write the phrase containing the polynomial's degree.
Given:
function is -3x+5x³-6x²+2
As, the polynomial contain coefficients and operations.
So, the given function is a polynomial.
Now, writing the polynomial in standard form as
f(x)=5x³-6x² -3x+2
The above polynomial is of degree 3 and the leading coefficient is 5.
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Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = [tex]3\sqrt{2}[/tex]
Step-by-step explanation:
This is an isosceles triangle, so the missing side is also 3
x = [tex]\sqrt{3^2 + 3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex]
Simplify [tex]\sqrt{18}[/tex]:
18 = 2 x 3 x 3
[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3 * 3}[/tex]
[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3^2}[/tex]
[tex]\sqrt{18}[/tex] = [tex]\sqrt{2} * \sqrt{3^2}[/tex]
[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]
-Chetan K
Find the equation of the line perpendicular to [tex]-\frac{1}{2} x[/tex] and passing through the point (−6; 1).
⦿ Hi There! ⦿
Point-Slope form:
y-y1=m(x-x1)
y-1=m(x-(-6)
Perpendicular lines have slopes that are opposite reciprocals.
It means that if we have -1/2, we flop it over and make it positive.
So the slope of the new line is 2.
y-y1=m(x-x1)
y-1=2(x-(-6)
y-1=2(x+6)
y=1=2x+12
y=2x+12-1
y=2x+11
Hope it helps!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]-SilentNature-[/tex]
Maya’s watch shows a time of 1:30pm. At. 5:30pm, her watch shows the time as
5:42pm. How many minutes did her watch gain every hour after 1:30pm?
Answer:
3 min/hr gain from 1:30 p.m. to 5:30 (nominal)
Step-by-step explanation:
Subtract 5:30 from 5:42; the result is 0:12. The watch gained a total of 12 minutes over the four-hour period from 1:30 p.m. to 5:30 p.m., or 3 min/hr:
1:30-2:30: 3 MIN
2:30-3:30: 3 MIN
3:30-4:30: 3 min
4:30-5:30: 3 min Summing up 3 min plus 3 min plus 3 min plus 3 min gives us 12 min.
PLEASE HELP QUICK!!
what is the slope of this line?
I think it might be D
is x to the second power plus y to the second power linear or non linear?
Answer:
No, but the reason depends. Pick the one that applies to the question.
Are we talking function in two variables, ie [tex]z=f(x,y) = x^2+y^2[/tex] : in this case no, the surface you generate is a paraboloid - think the satellite dishes you use for telecomunications. not linear anyways.
Are we talking about [tex]x^2+y^2=0[/tex]? This has only one solution, which is the origin (0;0). in fact if you solve for either of the two you will get [tex]x^2=-y^2[/tex]. Now LHS is greater or equal than zero, RHS is lesser or equal than zero - the whole thing is true only if they are both 0. But still, not linear.
Are we talking about [tex]x^2+y^2 = r[/tex] with [tex]r>0[/tex] (since if it was we would be again at an absurd, something clearly non-negative is equal to a negative number)? Again, non linear, they are circles of radius [tex]\sqrt r[/tex] centered on the origin.
A polygon is shown on the graph:
If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.
Answer:
4 units left : subtract 4 from each x coordinate
3 units down : subtract 3 from each y coordinate
Step-by-step explanation:
If △ABC ~ △DEF which of the following statements are correct?
△CAB ~ △FED
△FED ~ △BCA
△ACB ~ △DFE
△CBA ~ △EDF
Thank you
Which of the following is the slope in the function f(x) = 5x - 2?
Answer:
5/1
or 5x
is the slope
brainliest please :)
if 3 people can build 12 sheds in 4 days, how long will it take for 5 people to build 15 sheds?
The amount of time it would take for 5 people to build 15 sheds is; 3 days.
Since, according to the question;
3 people can build 12 sheds in 4 days.In essence; By proportion 1 person can build 4sheds in four days.
We are required to determine how long it will take 5 people to build 15 sheds.
Therefore: for 1 person;
4 sheds ====4 days15 sheds ====15days.Therefore, it takes 1 person 15 days to build 15 sheds.
Ultimately, when the job is divided between 5 people; It takes 15/5 = 3 days to build 15 sheds.
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In 1903, the Wright brothers flew their first airplane. Sixty-six years later, a man walked on the moon. In which year did a man walk on the moon?
A. 1966
B. 1969
C. 1837
D. 1970
B. 1969
Step-by-step explanation:
Hope it helped you! :) (Please correct me if I'm wrong.)
Find the value of y. Only type the "number."
Y = 5
The triangle is a right triangle so use the Pythagorean theorem:
Y = sqrt(3^2 + 4^)
Y = sqrt(9 + 16)
Y = sqrt(25)
Y = 5
$65 a month plus $45
Function:
65m + 45
(-----------------------------------------------------------------------)
This is here to remove the 20 word minimum limit.
Jordan can clean 57 houses a week. Taylor can clean 27 houses in 3 days. If they work together, how many days
do they need to clean 125 houses? ROUND UP THE FULL DAY.
Which two integers is square root 44 between?
Answer:6 and 7
Step-by-step explanation:
Can someone please give me the (Answers) to this? ... please ...
I dentify the idlowing pairs. of angles.
1.<1 and <4
2.<1 and <5
3. <2 and <8
4.<4 and <5
5. <3 and <5
6.<3 and <6
7.<2 and <6
8.<1 and <8 /
/
<————-1——2—————>
3 / 4
5 / 6
<————————————>
7 / 8
/
1 / 2
<————---———————>
3 / 4
5 / 6
<————————————>
7 / 8
ANGLE TYPES: Vertical, Adjacent, Linear, Complementary, Supplementary, Co-Interior, Alternate Interior, Alternate Exterior, Corresponding,
ANSWERS:
1. Vertical
2. Corresponding
3. Supplementary
4. Alternate Interior
5. Co-Interior
6. Alternate Interior
7. Corresponding
8. Alternate Exterior
If f(x)=x3−2x2+3x−5 and g(x)=x2+x−1, perform the given function operation.
Find f(g(x)). Do not expand or simplify.
Answer:
f(g(x) ) = (x² + x - 1)³ - 2(x² + x - 1)² + 3(x² + x - 1) - 5
Step-by-step explanation:
f(x) = x³- 2x² + 3x - 5 g(x) = x² + x - 1
f(g(x))
f(x² + x - 1) substitute x² + x - 1 into each x term in using f(x)
(x² + x - 1)³ - 2(x² + x - 1)² + 3(x² + x - 1) - 5
help algebra 2 please
yung may dalawang one true answer promise
Answer:
Step-by-step explanation:
g(x) = -x² - x - 1 = -1(x² +x + 1)
[tex](\dfrac{f}{g})(x) =\dfrac{x^{2}+x+1}{(-1)(x^{2}+x+1}\\\\=\dfrac{1}{-1} = -1[/tex]
Franklin puts apples and pears into boxes for the costumers at the local food bank. he puts the same number of apples or pears in each box. each box has only one type of fruit there are 64 apples and 48 pears what is the largest number of pieces of fruit Franklin can put in a box
Answer:
7
Step-by-step explanation:
To solve this problem, find the greatest common factor of the numbers representing the numbers of apples and pears respectively.
Each box will contain 3 pears and 4 apples.
And total number of fruits in each box will be 7 fruits.
It's given in the question,
Blake has 64 apples and 48 pears with him.
He has to put equal numbers of each fruit in a box.
To find the greatest number of fruits he can put in a box we will find the greatest common factor (GCF) of the given numbers first.
Therefore, greatest common factor of these numbers = =
GCF of these numbers tells about the number of boxes that can be prepared.
Now the number of pears that can be put in each box =
And the number of apples in each box =
Therefore, each box will contain 3 pears and 4 apples.
And total number of fruits in each box = 3 + 4 = 7 fruits.
{red,blue,yellow} find all of the subsets
Answer:
An empty subset would still be a subset
{}
Then let's pick one at a time
{red}
{blue}
{yellow}
Then in pairs
{red, blue}
{red, yellow}
{blue, yellow}
and finally, everything goes in!
{red, blue, yellow}
Please help I've been stuck on this question for awhile