Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
Determine the horizontal asymptote for the rational function.
Answer choices:
A.) y= 1
B.) y= -5
C.) y= 1
D.) y= -1
Answer:
[tex]\text{C) } y=1[/tex]
Step-by-step explanation:
A asymptote represents a control for a function where the function will never touch. We see that as the [tex]y[/tex] approaches 1, [tex]x[/tex] approaches infinity, from either direction. However, the function never touches nor crosses the line [tex]y=1[/tex], and never will. Thus, the horizontal asymptote is located at [tex]y=1[/tex].
y=0 is correct answer but is not in the selection.
Step-by-step explanation:
SOLUTION
For these solutions, we will use \displaystyle f\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}, q\left(x\right)\ne 0f(x)=
q(x)
p(x)
,q(x)≠0.
\displaystyle g\left(x\right)=\frac{6{x}^{3}-10x}{2{x}^{3}+5{x}^{2}}g(x)=
2x
3
+5x
2
6x
3
−10x
: The degree of \displaystyle p=\text{degree of } q=3p=degree of q=3, so we can find the horizontal asymptote by taking the ratio of the leading terms. There is a horizontal asymptote at \displaystyle y=\frac{6}{2}y=
2
6
or \displaystyle y=3y=3.
\displaystyle h\left(x\right)=\frac{{x}^{2}-4x+1}{x+2}h(x)=
x+2
x
2
−4x+1
: The degree of \displaystyle p=2p=2 and degree of \displaystyle q=1q=1. Since \displaystyle p>qp>q by 1, there is a slant asymptote found at \displaystyle \frac{{x}^{2}-4x+1}{x+2}
x+2
x
2
−4x+1
.
Synthetic division of the polynomial x^2-4x+1 by x+2 in which it only contains the coefficients of each polynomial.
The quotient is \displaystyle x - 6x−6 and the remainder is 13. There is a slant asymptote at \displaystyle y=x - 6y=x−6.
\displaystyle k\left(x\right)=\frac{{x}^{2}+4x}{{x}^{3}-8}k(x)=
x
3
−8
x
2
+4x
: The degree of \displaystyle p=2\text{ }<p=2 < degree of \displaystyle q=3q=3, so there is a horizontal asymptote y = 0.
Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1).
Given:
The given equation is:
[tex]y=-4x+3[/tex]
A line is perpendicular to the given line and passes through the point (4,-1).
To find:
The equation of required line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
We have,
[tex]y=-4x+3[/tex]
Here, the slope of the line is -4 and the y-intercept is 3.
Let the slope of required line be m.
We know that the product of slopes of two perpendicular lines is -1. So,
[tex]m\times (-4)=-1[/tex]
[tex]m=\dfrac{-1}{-4}[/tex]
[tex]m=\dfrac{1}{4}[/tex]
The slope of required line is [tex]m=\dfrac{1}{4}[/tex] and it passes through the point (4,-1). So, the equation of the line is:
[tex]y-(-1)=\dfrac{1}{4}(x-4)[/tex]
[tex]y+1=\dfrac{1}{4}(x)-\dfrac{4}{4}[/tex]
[tex]y=\dfrac{1}{4}x-1-1[/tex]
[tex]y=\dfrac{1}{4}x-2[/tex]
Therefore, the equation of the required line is [tex]y=\dfrac{1}{4}x-2[/tex].
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right
A) 80/140 is the portion that describes the book readers over all people surveyed
B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.
that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie
C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city
What is the median of this data set? Enter your answer as a decimal in the box median=
Median is the middle value.
Writing the values from smallest to largest you have :
1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8
There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.
The Median is 2/8
Answer:
2/8 is the median. In decimal, it is 0.25.
Happy learning!
--Applepi101
please help me! what’s the answer?
1) Two points
2) One point
3) One equation
Answer:
I think 2 points
Step-by-step explanation:
I may be wrong bc I suck at algebra. literally who is gonna use algebra ever?
Answer: two points hope it helps
Pls help me it's urgent pls help me!
Answer:
x/7 - 2 = y
Step-by-step explanation:
To find the inverse of a function, we switch f(x) and x and then solve for f(x). We thus have
x = 7f(x) + 14
subtract 14 from both sides to isolate the f(x) and its coefficient
x - 14 = 7 f(x)
divide both sides by 7 to isolate the f(x)
(x-14)/7 = f(x)
f(x) is synonymous with y here. so we havt
(x-14)/7 = y
This can also be written as
x/7 - 14/7 = y
x/7 - 2 = y
What is the value of x in the equation?
3(x+6) --18
-36
0-33
-24
0-18
Answer:
x = 0
Step-by-step explanation:
3(x + 6) = 18
distribute
3x + 18 = 18
Subtract 18 from both sides
3x = 0
Divide both sides by 3
x = 0
find the value of x what makes DEF ~ XYZ
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4[/tex]
Which expression is equivalent to 3√50 × √22 ?
Please show work :)
A. 15√22
B. 30√22
C. 30√11
D. 15√11
[tex]\longrightarrow{\green{C.\:30 \sqrt{11} }}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3 \sqrt{50} \times \sqrt{22} \\ \\ = 3 \sqrt{50 \times 22} \\ \\ = 3 \sqrt{1100} \\ \\ = 3 \sqrt{2 \times 2 \times 5 \times 5 \times 11} \\ \\ = 3 \sqrt{ {2}^{2} \times {5}^{2} \times 11} \\ \\ = 3 \times 2 \times 5 \sqrt{11} \\\\ = 30 \sqrt{11} [/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Can someone help please
Answer:
geometric
common ratio 2/3
Step-by-step explanation:
We know that the sequence is not arithmetic
3-2 =1
2-4/3 = 6/3 -4/3 = 2/3
The common difference is not the same
Now check geometric
The common ratio:
Take the second term over the first term
2/3
Now take the third term over the second term
4/3 ÷ 2
4/3 * 1/2 = 2/3
The common ratio is the same so the sequence is geometric with a common ratio of 2/3
If = 6 units and = 8 units, what is the volume of the cylinder?
Use 3.14 for.
A. 678.24 cubic units
B. 414.48 cubic units
C. 904.32 cubic units
D. 527.52 cubic units
Answer:
C. 904.32 cubic units
Step-by-step explanation:
the volume = π×r²×h
= 3.14 × 6²×8
= 3.14×288
= 904.32
HELLPPPPPPPPPPP PLEASSSEE IM BEGGING " Which linear function has a greatery-intercept than the function depicted in the graph." ***will mark brainliest*
Answer:
x y
-1 2
0 3
1 1
2 -1
Step-by-step explanation:
If f(x) = 4x + 5,, determine f(-2).
a. -7/4
b. 13
c. -3
d. 7
Answer:
C
Step-by-step explanation:
f(-2) = 4(-2) + 5
f(-2) = -8 + 5
f(-2) = -3
Answer:
-3
Step-by-step explanation:
f(x) = 4x + 5
Let x = -2
f(-2) = 4(-2) + 5
=-8+5
-3
please help me y’all!!! extra points!!
The sum of 4 and y divided by 5 equal to 9. Find the value of y.
pls a better solution
Answer:
y=41
Step-by-step explanation:
Let us start by writing an equation. 4 plus y divided by 5 equals to 9 :
[tex]\frac{4+y}{5}=9[/tex]
Great! Now let us solve for the variable, y, by isolating the terms:
[tex]4+y=45\\y=41[/tex]
I hope this helps! Let me know if you have any questions :)
(1)/(x^(-2))+(1)/(x^(-1))+(1)/(2)
Answer:
not touching x-axis
Step-by-step explanation:
the graph is not touching the x-axis, that is all i can say
Answer:
([tex]x^{2}[/tex] + [tex]x[/tex] + [tex]\frac{1}{2\\}[/tex] )
https://www.symbolab.com/solver/step-by-step/%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-2%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-1%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(2%5Cright)
You can use the link above :))
I REALLY NEED HELP, PLEASE!
EXPLAINING UR ANSWER = BRAINLIEST
A prism with volume 7750 cm³ is dilated by a factor of 1/5.
The volume of the dilated prism is ___ cubic centimeters.
Answer:
1550m^3
Step-by-step explanation:
Volume of the prism= 7750m^3
Factor of dilated prism= 1/5
7750×1/5= 1550m^3
Which solid has a great volume
I need to find the sum of the interior angel
in circle O, the measure of ABC is 68. what is the measure of AC?
If the supplement of an angle is 4 times of its compliment, find the angle.
PLSSSSSSSSSSS HELP ASAP
Answer:
The angle is 60°
Step-by-step explanation:
A supplement angle is the angle whose sum is equal to 180°.
The supplement angle = 180° - x
A complement angle is the angle whose sum is equal to 90°.
The complement angle = 90° - x
Given,
supplement angle = 4 × complement angle
(180° - x) = 4 × (90° - x)
180° - x = 360° - 4x
4x - x = 360° - 180°
3x = 180°
x = 60°
The supplement angle = 180° - x
⇒ 180° - 60°
⇒ 120°
The complement angle = 90° - x
⇒ 90° - 60°
⇒ 30°
Answer:
The angle is 60 degrees.
Step-by-step explanation:
Let the angle be x.
Then its supplement = 180-x.
Its complement = 90-x, so we have the equation:
180 - x = 4(90 - x)
180 - x = 360 - 4x
-x + 4x = 360 - 180
3x = 180
x= 60 degrees.
What is the solutions to the 2 system of equations? The X and Y have to be the same for both equations.
5x+4y=12
3x+6y=8
Answer:
x = 5, y = 7
Step-by-step explanation:
x – y = -2 ——— 1
5x – 4y = -3 —– 2
x = -2 + y ——— 3
3 in 2 ≈ 5(-2 + y) – 4y = -3
-10 + 5y – 4y = -3
y = -3 + 10
y = 7
Putting y = 7 in 3, we have;
x = -2 + (7)
x = 5
Hence (x, y) = (5, 7)
Which statements are true? Select all that apply.
A. The amplitude of y = 2 sin(12x) is 12.
B. The period of y = 2 sin(12x) is π.
C. The amplitude of y = 2 sin(12x) is π2.
D. The period of y = 2 sin(12x) is 4π.
E. The period of y = 2 sin(12x) is 12.
F. The amplitude of y = 2 sin(12x) is 2.
5x + 1 over 2y2
What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
Step-by-step explanation:
So for this question just substitute the value and work out. I thought it it to the power of 2 as I can't tell from the question.
i’ll give brainilist . Mrs.Shivers, the 8th grade guidance counselor, solved for the value of x in the triangle below. She said that x=70 based off what Ms.Willis taught her. Which of the following statements best justifies Mrs.Shiver's answer?
Answer:
she is correct
Step-by-step explanation:
because according to the Pythagorean theorem the interior of a triangle has to be 180 degrees total.
and a straight line has an angle of 180
so the inside of the C angle is 50
60+50+70=180
If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played? Write and solve a system of equations .
pllzz help 20 pointsss
Answer:
13 points
Step-by-step explanation:
Equation for "There are 50 athletes signed up for a neighborhood basketball competition. Players can select to play in the 6-player games ("3 on 3") or the 2-player games ("1 on 1").
Equation for "If the neighborhood holds 13 total games and all 50 athletes participate"
How many 6 player games?
How many 2 player games?
The answer to this question is:
7 two-player games are played
6 six-player games are played
What are system of equations?
A collection of two or more equations with the same set of unknowns is referred to as a system of equations.
Systems of linear equations in two variables can be solved in one of three ways:
by graphing; by the substitution approach; or by the elimination method.Solution:
Given:
Total games = 13
Total number of athletes participated = 50
Find:
6-player games played = ?
2-player games played = ?
Step-1:
let x denote the total 2-player games played &
y denote the total 6-player games played.
Hence the equation for the total number of games played is:
x + y = 13 ..............eq(1)
Now, the equation for the total number of games played by the athletes is:
2x + 6y = 50............eq(2)
Further eq(2) can be reduced as-
2(x + 3y) = 50
x + 3y = 50/2
x + 3y = 25.........eq(2)
Step-2:
Solving eq(1) and eq(2) by using elimination method as follows:
x + y = 13
x + 3y = 25
Step-3:
In the elimination method positive signs changes to negative and x gets eliminated so we get the y value as:
-2y = -12
y = 6
Substituting y value in eq(1): x+ y = 13
x + 6 = 13
x = 13 - 6
x = 7
Hence we found out that total 7 two-player games and 6 six-player games were played.
Learn more about "System of equations" here:
brainly.com/question/13729904
#SPJ2
does anyone know how to solve this? asap please:((
Answer:
D)
Step-by-step explanation:
All sides are congruent because all sides are the same.
Hope this helps!
-kiniwih426
cellus
Find the composition of transformations
that map APQR to AP'Q'R'.
R
(Р
Translate [?] unit(s)
to the C) and then
reflect over the 0.
P10
R?
3
4
Answer:
Translate 4 units to the left and reflect over the x-axis
Step-by-step explanation: hope this helps :)
The composition of the transformations given in the figure is translate 4 units to the left and then reflect over the X axis.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
After translation, the original figure is shifted from a place to another place without affecting it's size.
After Reflection, figure is flipped. In other words, a figure becomes it's mirror image.
Consider the point P.
Before undergoing reflection, the figure must be above the X axis.
And the point P will be translated 4 units to the left.
After reflection, since the figure moved towards the other side of the X axis, the figure is reflected across the X axis.
Hence the missing parts are filled.
Learn more about Translation and Reflections here :
https://brainly.com/question/30270479
#SPJ7
Let f(x) = 5x2 – 4x and g(x) = 5x + 1.
Find f – g.
Answer:
[tex]5x^2-9x-1[/tex]
Step-by-step explanation:
f - g
[tex]=5x^2-4x -(5x+1)\\\\=5x^2-4x-5x-1\\\\=5x^2-9x-1[/tex]
Which of the following best describes the pattern in the diagram as you move
from the top to the bottom row?
1
2
3
A. Each row increases by 1 circle.
B. Each row increases by 2 circles.
C. Row 9 will contain 12 circles.
D. Row 7 will contain 10 circles.
Answer:
c
Step-by-step explanation: