Answers
[tex]\text{Answer:}}\quad \boxed{\begin{array}{l||c|c|c}\underline{\qquad \qquad }&\underline{Zero}&\underline{\stackrel {Vertical}{Asymptote}}&\underline{\stackrel{Removable}{Discontinuity}}\\&&&\\x=-3&&&X\\&\quad&\quad&\quad\\x=1&&X\end{array}}[/tex]
Step-by-step explanation:
[tex]g(x)=\dfrac{x+3}{x^2+2x-2}\qquad =\dfrac{x+3}{(x+3)(x-1)}[/tex]
Set the denominator equal to zero and solve for x. These are the asymptotes: x = -3 and x = 1
Notice that (x+3) cancels out from the numerator and denominator
This becomes a Removable Discontinuity, instead of an asymptote.
⇒ Therefore, x = 1 is the vertical asymptote
x = -3 is a removable discontinuity
Related Questions
EXCELLENT VOTE!! (only if u give the CORRECT answer)
Answers
Answer:
Option C
Step-by-step explanation:
Answer:
B.
You need to subtract 1 term because you don't include the starting 5
4^10 - 1 = 4^9
You multiply 5 by 4 each time for 9 times so it is 5 x 4^9
Hope this helps
Step-by-step explanation:
Avalanche conditions: Winter avalanches occur for many reasons, one being the slope of the mountain. Avalanches seem to occur most often for slopes between 35° and 60° (snow gradually slides off steeper slopes). The slopes at a local ski resort have an average rise of 2000 ft for each horizontal run of 2559 ft. Is this resort prone to avalanches? Find the angle θ and respond. 2000 ft 2559 ft
Answers
Answer:
Yes, since angle θ = 38° and is between 35° and 60°, this slope is prone to avalanches.
Step-by-step explanation:
Avalanche conditions: Winter avalanches occur for many reasons, one being the slope of the mountain. Avalanches seem to occur most often for slopes between (snow gradually slides off steeper slopes). The slopes at a local ski resort have an average rise of 2000 ft for each horizontal run of 2559 ft. Is this resort prone to avalanches? Find the angle θ and respond. 2000 ft 2559 ft
Draw a right triangle. Start with a horizontal side and label the horizontal side 2559 ft. Then at one endpoint of that side, draw a vertical side going up from the horizontal side. Label it 2000 ft. Connect the upper point of the vertical side to the other endpoint of the triangle. The acute angle at the bottom is θ.
[tex] \tan \theta = \dfrac{opp}{adj} [/tex]
[tex] \tan \theta = \dfrac{2000}{2559} [/tex]
[tex] \theta = \tan^{-1} 0.7816 [/tex]
[tex] \theta = 38^\circ [/tex]
Since the angle is between 35° and 60°, this slope is prone to avalanches.
Employee B got a one time $90 bonus. He got
paid $330 this week. He worked 24 hours this
week. How much did he make per hour this
week before his bonus?
Answers
Answer:
$10 an hour
Step-by-step explanation:
Subtract the bonus to get the pay.
330-90=240
Divide 240 by 24 hours to get his rate of pay.
240/24=10
He gets $10 an hour.
Answer:
Step-by-step explanation:
Subtract 90 dollars from 330. 330-90=240.
The man earned 240 dollars that wee and worked 24 hours.
240/24=10
Consider the graph with four lines below. On a coordinate plane, line a has a positive slope and goes through points (negative 1, 0) and (1, 2), line b has a negative slope and goes through (negative 2, 2) and (negative 1, negative 1), line c has a negative slope and goes through (0, 3) and (1, 0), and line d is horizontal at y = 1. By inspection, which system would have no solution? line a and line b line a and line c line b and line c line b and line d
Answers
Answer:
C) line b and line c
Step-by-step explanation:
On edge
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The system of equations that do not have any solution is line b and line c. Hence, the correct option is C.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The equation of line a passing through (-1,0) and (1,2) are,
m = (0-2)/(-1-1) = -2/-2 = 1
y= x + c
0 = -1 + c
c = 1
Equation of line 1, y=x+1
The equation of line b passing through (-2,2) and (-1,-1) are,
m = (2+1)/(-2+1) = 3/-1 = -3
y= -3x + c
-1 = -3(-1) + c
c = -4
Equation of line 1, y=-3x-4
The equation of line c passing through (0,3) and (1,0) are,
m = (3-0)/(0-1) = 3/-1 = -3
y= -3x + c
3 = -3(0) + c
c = 3
Equation of line 1, y=-3x+3
Also, the equation of line d is y=1
The solution of two-equation is the point at which the two equations are not intersecting. Therefore, the system of equations that do not have any solution is line b and line c.
Hence, the correct option is C.
Learn more about Equation of Line:
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Can someone please help me I really need help please help me
Answers
Answer:
1080
Step-by-step explanation:
PLEASE HELP Which of the sets of ordered pairs represents a function? A = {(2, −2), (5, −5), (−2, 2), (−5, 5)} B = {(4, 2), (4, −2), (9, 3), (9, −3)} a. Only A b. Only B c. Both A and B Incorrect d. Neither A nor B
Answers
Answer: A. Only A
Step-by-step explanation:
A has exactly one output for every input but B has different outputs for an input.
Explication: If there is no repeated numbers in the x axis and the y axis it is a function you can also figure this out by doing the line test if you draw a horizontal line across your function and there is no repeated numbers on the x axis or y axis it is a function
Match the graph with the correct equation
• y+2=(x-2)
•y+2= -(x-4)
•y+2= -(x+4)
•y-2= -(x-4)
Answers
Answer:
y + 2 = -(x-4)
Step-by-step explanation:
Here, we want to match the graph with the correct equation
the equation is generally in the form
y = mx + c since it is a straight line
Let’s start with c which is the y- intercept
c = 2 from the graph
Let’s find value of the slope using the end points
The end points at top and at bottom are as follows respectively;
(-8,10) and (10,-8)
So the slope is ; y2-y1/x2-x1 and that is ;
-8-10/(10-(-8) = -18/18 = -1
So the complete form of the line would be;
y = -1(x) + 2
y = -x + 2
or simply y = 2-x
So which of the options fit this answer?
That would be;
y+ 2 = -(x-4)
This can be written as;
y + 2 = -x + 4
y = -x + 4-2
y = -x + 2
Answer:(D) y + 2 = -(x-4)
Step-by-step explanation:
Which of the following is the correct factored form of the given equation? 6x^2 -13x - 8 = 0
Answers
Answer:
the 2nd
Step-by-step explanation:
13,600 – 500x = 16,000 - 800x
Answers
Answer:
x=8
Step-by-step explanation:
13,600 – 500x = 16,000 - 800x
Add 800x to each side
13,600 – 500x+800x = 16,000 - 800x+800x
13600 +300x = 16000
Subtract 13600 from each side
13600 -13600+300x = 16000-13600
300x =2400
Divide each side by 300
300x/3 00 = 2400/300
x = 8
Answer
x = 8
Step-by-step explanation:
y= 13,600 -500x = 16000-800x
13,600-500x = 16000-800x
+800 +800
13,600 +300x = 16,000
-13,600 -13,600
_300x___ = _24,00___
300 300
x = 8
A winter recreational rental company is fencing in a new storage area. They have two options. They can set it up at the back corner of the property and fence it in on four sides. Or, they can attach it to the back of their building and fence it in on three sides. The rental company has decided that the storage area needs to be 100 m2 if it is in the back corner or 98 m2 if it is attached to the back of the building. Determine the optimal design for each situation.
Answers
Answer:
Rectangular area attached to the back of the building
two sides of legth 7 m and one side of 14 m
Step-by-step explanation:
We need to compare quantity of fencing material to be used in both cases
1.Option
A = 100 m² dimensions of storage area "x" and "y"
x*y = 100 y = 100/x
The perimeter of the storage area is
p = 2*x + 2*y ⇒ p = 2*x + 2*100/x
p(x) = 2*x + 200/x
Taking drivatives on both sides of the equation
p´(x) = 2 - 200/x²
p´(x) = 0 ⇒ 2 - 200/x² = 0
2*x² - 200 = 0 x² = 100
x = 10 m
and y = 100/10
y = 10 m
Required fencing material in first option
2*10 + 2*10 = 40 m
2.-Option
Following the same procedure
A = 98 m² y = A/x y = 98/x
p = 2*x + y p(x) = 2*x + 98/x
p´(x) = 2 - 98/x² p ´(x) = 0
2 - 98/x² = 0
2*x² = 98 x² = 49
x = 7 m and y = 98/ 7 y = 14 m
Total quantity of fencing material
p = 2* 7 + 14 p = 28
Therefore option 2 is more convinient from economic point of view
Optimal design rectangular storage area with two sides of 7 m and one side of 14 m
What is the 5th equivalent fraction to 1/11 ?
Answers
Answer: 5/55
Step-by-step explanation:
1/11 x 5 = 5/55
So, the fifth equivalent fraction to 1/11 is 5/55.
The 5th equivalent fraction should be [tex]5\div 55[/tex]
Calculation of the equivalent fraction:Since the fraction is [tex]1\div 11[/tex]
So here the 5th equivalent should be
[tex]= 1\div 11 \times 5\div 5[/tex]
= [tex]5\div 55[/tex]
Here 5 represent the numerator and 55 represent the denominator.
Therefore, we can concluded that The 5th equivalent fraction should be [tex]5\div 55[/tex]
Learn more about fraction here: https://brainly.com/question/1786648
Pls ppl answer dis question PLS PLS PLS No scaming pls
4√3 x^2+5x-2√3
Answers
Answer:
\the zeroes are (2√3)/ 3, (√3)/4,
or -1.15, 0.43 to the nearest hundredth.
Step-by-step explanation:
I am assuming you want to find the zeroes of this function:
4√3 x^2+5x-2√3 = 0
Using the quadratic formula:
x = [ -5 +/- √((5)^2 - 4 * 4√3 * -2√3) ] / (2 * 4√3 )
= ( - 5 +/- √(25 - (-32*3)) / 8√3
= (-5 +/- √ 121) / 8√3
= (-5 - 11) / 8√3 or (-5 + 11) / 8√3
= -16/8√3 or 6/8√3
= -16√3/ 24 or 6√3 / 24
= -2√3/ 3 or √3/4.
x is partly constant and partly varies with y. When y=3, x = 7 and when y = 6, x = 9. Find x when y = 4
Answers
Answer:
x=23/3
Step-by-step explanation:
x=c+ay
7=c+3a | *(-1)
9=c+6a
-7=-c-3a
9=c+6a
------------
9-7=c-c+6a-3a
2=3a
a=2/3
7=c+3*2/3
7=c+2
-2 -2
5=c
so x=5+2/3*y
when y=4 then x=5+2/3*4=5+8/3
x=15/3+8/3
x=23/3
( brainliest to the correct answer) worth 13 points
Can someone solve this for me I need to finish this assignment today (:
Thank youuuuu
Answers
Answer:
8.66 billion?
explanation: 7.1+1.1% X 20=8.662
does anyone know the answer!!
Answers
Answer:
95
Step-by-step explanation:
n is 360-121-144 since all the sums of the exterior angles add up to 360 and so 360-121-144=95 so our answer is 95
which of the following angles is coterminal with 5pi/3? pi/3, 2pi/3, 4pi/3, 5pi/3
Answers
Answer:
5pi/3
Step-by-step explanation:
For two angles to be co-terminal, one must differ from the other by a multiple of 2pi.
The angle of consideration is 5pi/3
Let us consider the options one by one and see if they differ from the angle of consideration by a multiple of 2pi.
5pi/3 - pi/3 = 4pi/3
5pi/3 - 2pi/3 = 3pi/3 = pi
5pi/3 - 4pi/3 = pi/3
5pi/3 - 5pi/3 = 0 = 0(2pi)
5pi/3 is co-terminal with itself
Solve x^2 + 6x - 5 = 0 by completing the square.
Answers
Answer:
(x + 3)² = 14
Step-by-step explanation:
x² + 6x - 5 = 0
Add 5 and 9 on both sides.
x² + 6x + 9 = 14
Factor left side.
(x + 3)² = 14
Take the square root on both sides.
(x + 3) = ±√14
Subtract 3 on both sides.
x = -3 ±√14
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the circle equations in general form with their corresponding equations in standard form. x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0
Answers
Answer:
1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]
2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]
3) For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex], the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
4) For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex], the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex], the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
6) For[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]
Step-by-step explanation:
This can be done using the completing the square method.
The standard equation of a circle is given by [tex](x - a)^2 + (y-b)^2 = r^2[/tex]
1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex]
[tex]x^2 - 4x + y^2 + 12y = 20\\x^2 - 4x + 2^2 + y^2 + 12y + 6^2 = 20 + 4 + 36\\(x-2)^2 + (y+6)^2 = 60\\[/tex]
Therefore, for [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]
2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex]
[tex]x^2 + 6x + y^2 - 8y = 10\\x^2 + 6x + 3^2 + y^2 - 8y + 4^2 = 10 + 9 + 16\\(x + 3)^2 + (y- 4)^2 = 35\\[/tex]
Therefore, for [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]
3) For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex]
Divide through by 3
[tex]x^2 + y^2 + 4x + 6y = 5[/tex]
[tex]x^2 + y^2 + 4x + 6y = 5\\x^2 + 4x + 2^2 + y^2 + 6y + 3^2 = 5 + 4 + 9\\(x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
Therefore, for [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex], the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
4) For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex]
Divide through by 5
[tex]x^2 + y^2 - 2x + 4y = 6[/tex]
[tex]x^2 + y^2 -2x + 4y = 6\\x^2 - 2x + 1^2 + y^2 + 4y + 2^2 = 6 + 1 + 4\\(x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
Therefore, for [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex], the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex]
Divide through by 2
[tex]x^2 + y^2 - 12x - 8y = 4[/tex]
[tex]x^2 + y^2 - 12x - 8y = 4\\x^2 - 12x + 6^2 + y^2 - 8y + 4^2 = 4 + 36 + 16\\(x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
Therefore, for [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex], the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
6) For [tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex]
[tex]x^2 + 2x + y^2 - 12y = 9\\x^2 + 2x + 1^2 + y^2 - 12y + 6^2 = 9 + 1 + 36\\(x+1)^2 + (y-6)^2 = 46\\[/tex]
Therefore, for[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]
For Plato / Edmentum
Just to the test and got it right ✅
Please answer it in two minutes
Answers
Answer:
2,700 degrees.
Step-by-step explanation:
17 gon is a heptadecagon.
The formula for the sum of interior angles is [tex](n-2)*180[/tex] degrees.
[tex](17-2)*180=\\15*180=\\2700[/tex]
Write equation Derek will get a bonus if he sells at least 50 sets of knives in a month use k to represent the number of knives he can sell to receive his bonus
Answers
Answer: k ≥ 50
Step-by-step explanation:
From the question, we are informed that Derek will get a bonus if he sells at least 50 sets of knives in a month. We are further told to us k to represent the number of knives he can sell to receive his bonus.
Since we are told that Derek will get a bonus if he sells at least 50 sets of knives in a month, this means that k will be greater than or equal to 50. Therefore,
k ≥ 50
how many millimeters are in a meter
Answers
Answer:
There are 1000 millimeters in a meter.
Step-by-step explanation:
I really hope this helps in any way.
Answer:
1,000
Step-by-step explanation:
The word millimeter has the prefix of 'milli-'.
'Milli-' means a thousand.
Applying the prefix meaning to the word, a millimeter would be a thousandth of a meter.
There are 1,000 millimeters in a meter.
Brainilest Appreciated.
Line A has an x-intercept of -4 and a y-intercept of 8. What is its slope?
Answers
Answer:
Step-by-step explanation:
We can use the intercept form of the equation of a line, then solve for y.
Intercept form
x/(x-intercept) +y/(y-intercept) = 1
x/-4 +y/8 = 1
__
Solving for y, we have ...
-2x +y = 8 . . . . multiply by 8
y = 2x +8 . . . . add 2x
The coefficient of x is 2, so the slope is 2.
__
The graph shows you the rise is 8 for a run of 4, so ...
slope = rise/run = 8/4
slope = 2
What is the slope of a line perpendicular to the line whose equation is
x - 5y = -10. Fully reduce your answer
Answers
Answer:
The slope or incline is -5
Step-by-step explanation:
rewrite to get the form
y = ...
x - 5y = -10
- 5y = -10 -x
divide left and right if the = sign by -5 gives:
(-5/-5)y = (-1/-5)x + (-10/-5)
y = 1/5x +2
So the incline is 1/5
a perpendicular line has an incline of -1 *5/1 = -5
The slope or incline is -5
There is a bag filled with 5 blue, 6 red and 2 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 blues?
Answers
Answer:
Step-by-step explanation:
Total marbles = 5 + 6 + 2 = 13
P( getting blue ball from first draw) = 5/13
The marble is not replaced. So, Now total marbles will be 12 & number blue marbles will be 4
P( getting blue ball from second draw) = 4/12 = 1/3
P(getting two blues) = [tex]\frac{5}{13}*\frac{1}{3}\\[/tex]
= 5/39
Find the total surface area of this cylinder. Give your answer to one decimal place PLEASE HELP THANK YOUUUU
Answers
Answer:
Step-by-step explanation:
surface area of cylinder=2 πr²+2πrh
=2πr(r+h)
=2π×12(12+18)
=24π×30
=720π
≈2261.9 cm²
A car is traveling at x feet per second. The driver sees a red light ahead, and
after 1,5 seconds reaction time, the driver applies the brake. After the brake is
applied, the car takes seconds to stop, during which time the average speed
24
of the car is feet per second. If the car travels 165 feet from the time the
driver saw the red light to the time it comes to a complete stop, which of the
following equations can be used to find the value of x?
A) x2 + 48x - 3,960 = 0
B) x2 + 48x - 7,920 = 0
C) x2 + 72x - 3,960 = 0
D) x2 + 72x - 7,920 = 0
Answers
Answer:
The correct option is;
D) x² + 72·x - 7920 = 0
Step-by-step explanation:
The time it takes the car to stop = x/24 seconds
the average speed during stopping = x/2 feet per second
Given that the car was initially travelling at x feet per second and it takes the car 165 feet to stop after the driver takes 1.5 seconds at the initial speed x before the break is applied, we have;
Total distance traveled = (x/24)×(x/2) + x×1.5 = 165
= x²/48 + 1.5·x = 165
Multiply through by 48, we have;
x² + 72·x = 7920
Which gives the equation as follows;
x² + 72·x - 7920 = 0.
please solve it 90 POINTS please help- PLEASE HELP its Identify the following for the quadratic relations please slove it all please if you can save the picture and do it on the page -
i Will give brainliest
Answers
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
2)
a) elimination method
b) substitution method
c) substitution method
For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.
For the second part we can substitute y as 2x+5 in the second equation and solve for x.
For the third part we can substitute y as 4x+3 in the first equation and solve for x.
3)
[tex]\boxed{\mathrm{view \: attachment}}[/tex]
Please answer this....
Answers
Answer:
c) [tex]2\frac{23}{30}[/tex] d)[tex]1\frac{23}{24}[/tex]
7) a. [tex]6\frac{3}{11}[/tex] kg b. [tex]6 \frac{2}{3}[/tex] cm c. 20 cm
d. [tex]9\frac{9}{10}[/tex] kg e. 10 g f. [tex]23 \frac{1}{4}[/tex] kg
Step-by-step explanation:
c) [tex]8\frac{2}{3}[/tex] - [tex]5\frac{9}{10}[/tex]
First we will change to improper fraction and then solve
[tex]\frac{26}{3} - \frac{59}{10}[/tex]
= [tex]\frac{260 - 177}{30}[/tex]
= [tex]\frac{83}{30}[/tex]
we will now change to mixed number
= [tex]2\frac{23}{30}[/tex]
d) [tex]8\frac{1}{8} - 6\frac{1}{6}[/tex]
we will first change it to improper fraction and then solve
= [tex]\frac{65}{8} - \frac{37}{6}[/tex]
= [tex]\frac{390 - 296}{48}[/tex]
= [tex]\frac{94}{48}[/tex]
we can reduce the fraction
=[tex]\frac{47}{24}[/tex]
we will change it mixed number
=[tex]1\frac{23}{24}[/tex]
7)
a. [tex]\frac{3}{11}[/tex] of 23
= [tex]\frac{3}{11}[/tex] × 23
= [tex]\frac{69}{11}[/tex]
=[tex]6\frac{3}{11}[/tex] kg
b. [tex]\frac{2}{3}[/tex] of 10 cm
= [tex]\frac{2}{3}[/tex] × 10 cm
= [tex]\frac{20}{3}[/tex] cm
=[tex]6 \frac{2}{3}[/tex] cm
c. [tex]\frac{5}{6}[/tex] of 24cm
= [tex]\frac{5}{6}[/tex] × 24 cm
6 will divide 24
=5 × 4 cm
= 20 cm
d. [tex]\frac{3}{10}[/tex] of 33 kg
= [tex]\frac{3}{10}[/tex] × 33 kg
=[tex]\frac{99}{10}[/tex] kg
=[tex]9\frac{9}{10}[/tex] kg
e. [tex]\frac{2}{7}[/tex] of 35 g
= [tex]\frac{2}{7}[/tex] × 35 g
7 will go into 35
=2×5 g
=10 g
f. [tex]\frac{3}{4}[/tex] of 31 kg
= [tex]\frac{3}{4}[/tex] × 31 kg
=[tex]\frac{93}{4}[/tex] kg
=[tex]23 \frac{1}{4}[/tex] kg
Line segment C X is an altitude in triangle ABC. Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to point X on side A B to form a right angle. Which statements are true? Select two options. ΔABC Is-congruent-to ΔBXC ΔAXC ~ ΔCXB ΔBCX Is-congruent-to ΔACX ΔACB ~ ΔAXC ΔCXA Is-congruent-to ΔCBA
Answers
Answer:
ΔAXC ~ ΔCXB
ΔACB ~ ΔAXC
Step-by-step explanation:
B and D are correct
Congruent triangles have equal corresponding sides.
The true statements are: ΔAXC ~ ΔCXB ; and ΔACB ~ ΔAXC
From the figure (see attachment), we have the following highlights
Triangles AXC and CXB are similar by SASTriangles ACB and AXC are also similar by SASThis means that we have the following similarities statements:
ΔAXC ~ ΔCXB ; and ΔACB ~ ΔAXC
Hence, the true options are: (b) and (d)
Read more about congruent triangles at:
https://brainly.com/question/3807969
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Suggest changing to "On the graph of an exponential function representing growth, what happens to the slope of the graph as x
increases?"
Answers
Answer:
The slope also increases
Step-by-step explanation:
The slope of a function is the ratio of change in y to change in x. For an exponential function f(x) = e^x, the slope of the function is equal to the function, i.e slope = e^x.
For a function represented by [tex]y=2^x[/tex], this is an exponential function representing growth, the slope of [tex]y=2^x[/tex] is also [tex]2^x[/tex], therefore as the value of x increases, the value of the slope also increases.
At x = 1, slope = 2^1 = 2, At x = 4, slope = 2^4 = 16.