Answers
Answer:
Put S=(1,-10) R(-10,-8) T(-8,-9) Make sure to put a ´ after these letters when you put them down
Step-by-step explanation:
Related Questions
What will happen to the graph of f(x)=x, if the equation is changed to y=x-5?
Answers
Use the image to determine the direction and angle of rotation. Graph of triangle ABC in quadrant 1 with point A at 1 comma 3. A second polygon A prime B prime C prime in quadrant 4 with point A prime at 3 comma negative 1. 90° clockwise rotation 180° clockwise rotation 180° counterclockwise rotation 90° counterclockwise rotation
Answers
First, we can find the translation vector that moves point A to point A':
translation vector = A' - A = (3, -1) - (1, 3) = (2, -4)
Next, we can find the vector that connects point B to point A in the original triangle ABC:
vector AB = B - A
Then, we can rotate this vector using the rotation matrix for the desired angle of rotation:
90° clockwise rotation:
|0 -1| |x| |y'|
|1 0| * |y| = | -x'|
180° clockwise rotation:
|-1 0| |x| |x'|
| 0 -1| * |y| = |y'|
180° counterclockwise rotation:
|-1 0| |x| |-x'|
| 0 -1| * |y| = |-y'|
90° counterclockwise rotation:
| 0 1| |x| |-y'|
|-1 0| * |y| = | x'|
Finally, we can add the translation vector to the rotated vector to get the coordinates of the corresponding point in the new polygon A' B' C':
90° clockwise rotation: B' = A' + (AB rotated 90° clockwise + translation)
180° clockwise rotation: B' = A' + (AB rotated 180° clockwise + translation)
180° counterclockwise rotation: B' = A' + (AB rotated 180° counterclockwise + translation)
90° counterclockwise rotation: B' = A' + (AB rotated 90° counterclockwise + translation)
Using this method, we can find the coordinates of points B' and C' in the new polygon A' B' C'. Then, we can use the coordinates of these points to determine the direction and angle of rotation needed to move the original triangle to the new polygon.
The ratio of boys to girls in 9th grade is 4 boys to 5 girls. There are 350 girls.
How many boys are there?
250
300
200
280
Answers
Step-by-step explanation:
The ratio of boys :girls=4:5 so you have 4 boys and 5 girls
Now , you can ,
4/5×350
= 280
280 is the correct answer hope it helps u
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
Answers
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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Solve system of equations for unknown variables. X-4=11
Answers
The value of x which makes the equation true is 15.
What is the system of equations?
A system of equations is a set of two or more equations that contain multiple variables. These equations are typically used to describe a real-world situation and are solved simultaneously to find the values of the variables.
To solve a system of equations for unknown variables, you can use one of several methods, such as substitution, elimination, or graphing.
To solve a system of equations such as x-4=11, you have to find the value of x which will make the equation true.
x-4=11
x=15
Hence, the value of x which makes the equation true is 15.
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What is the volume of this rectangular prism?
Answers
Step-by-step explanation:
Volume = base area × height
= width × length × height
= (1/5×4/5) × 10/3 cm × cm × cm
= ...... cm³
I hope this helps you
Volume Of Rectangular prism is:
width. length. height
1/5.4/5.10/3
8/15
nearest 0,54
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed
with a mean of 100 and a standard deviation of 15
86
The area of the shaded region is (Round to four decimal places as needed)
Clear all
Answers
Using the normal distribution, it is found that the area of the shaded region is of 0.8238.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of \(\mu = 100\).The standard deviation is of \(\sigma = 15\).The area of the shaded region is 1 subtracted by the p-value of Z when X = 86.Hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{86 - 100}{15}\)
\(Z = -0.93\)
\(Z = -0.93\) has a p-value of 0.1762.
1 - 0.1762 = 0.8238.
The area of the shaded region is of 0.8238.
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Find the square root of :
\( \sqrt[2]{32} \)
Answers
Two plumbers charge different rates for service. The first plumber charges $100 per service call plus $25 per hour of service. The second plumber charges $50 service call plus $50 per hour of service. After how many hours do the plumbers charge the same amount?
Answers
Answer: 2
Step-by-step explanation:
-6+ (-20) + (-40) + 3d
Answers
Answer: -66 + 3d or 3d - 66
Step-by-step explanation:
-6 + (-20) + (-40) + 3d
-6 - 20 - 40 + 3d
-26 - 40 + 3d
-66 + 3d or 3d - 66
Hope I helped!
Which of the following sets of interior angle measures can form a triangle?
Select all that apply.
A. 45, 45, 45*
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
E. 90,90°, 45°
F. 90, 90, 90°
pleaseee helppp
Answers
As per the angle sum property, the interior angles that form the triangle is option
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
Angle sum property
Angle sum property states that the sum of all the interior angles of the triangle is equal to 180 degrees.
Given,
Here we have the list of interior angles
A. 45, 45, 45*
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
E. 90,90°, 45°
F. 90, 90, 90°
Now, we have to find in which for these angle will form the tringle.
As per the definition of the angle sum property, the sum of all the interior angle of the triangle is 180°.
Based on these we have to verify each of the given interior angles,
A) 45 + 45 + 45 = 135
B. 60 + 60 + 60 = 180
C. 40 + 50 + 90 = 180
D. 30 + 60 + 90 = 180
E. 90 + 90 + 45 = 225
F. 90 + 90 + 90 = 270
Therefore, based on these values we have identified that the options (B), (C), and (D) forms the triangle.
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PLEASE HURRY AND ANSWER!!!!
Answers
The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.
How to calculate the probability of the chosen event?To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:
Probability = possible outcome/ sample space
Where possible outcome = 2
sample space = A,B,B,B,C,C,D,D,D,E = 10
Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.
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Part A: Timothy said that AKLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy CORRECT? Explain your answer or show your work.
Answers
Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.
What is dilation?In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.
For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:
Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).
Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).
Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).
In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.
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Factor out the GCF in the expression below. Put your answer in the box below.
`24m^{3}+54m`
Answers
Answer:
Factor of GCF(Greatest common factor) of given expression = [2 × 3 × m]
Step-by-step explanation:
Given expression;
24m³ + 54m
Find:
The factor of GCF(Greatest common factor) of the given expression.
Computation:
24m³ + 54m
Step 1 :
Write in factor form;
[2 × 2 × 2 × 3 × m × m × m] + [2 × 3 × 3 × 3 × m]
Step 2 :
By taking [2 × 3 × m as common]
[2 × 3 × m][(2 × 2 × m × m) + (3 × 3)]
Step 3 :
[2 × 3 × m][(4m²) + (9)]
Factor of GCF(Greatest common factor) of given expression = [2 × 3 × m]
if f(x)=ln(sin(2x)), f''(π/4) is equal to
Answers
Use the chain rule to compute the second derivative:
\(f(x)=\ln(\sin(2x))\)
The first derivative is
\(f'(x)=(\ln(\sin(2x)))'=\dfrac{(\sin(2x))'}{\sin(2x)}=\dfrac{\cos(2x)(2x)'}{\sin(2x)}=\dfrac{2\cos(2x)}{\sin(2x)}\)
\(f'(x)=2\cot(2x)\)
Then the second derivative is
\(f''(x)=(2\cot(2x))'=-2\csc^2(2x)(2x)'\)
\(f''(x)=-4\csc^2(2x)\)
Then plug in π/4 for x :
\(f''\left(\dfrac\pi4\right)=-4\csc^2\left(\dfrac{2\pi}4\right)=-4\)
A quadrilateral is shown.
H
6.5
5.51
What is the area of the quadrilateral? Enter the answer in the box.
Answers
The calculated area of the quadrilateral is 35.82 square units.
What is the area of the quadrilateral?Given that
BAse = 6.5
Height = 5.51
To find the area of a quadrilateral, we need to multiply the base by the height.
Area of quadrilateral = base x height
Substituting the given values, we get:
Area = 6.5 x 5.51
Area = 35.815
Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.
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The equation of a parabola is (x−3)2=16(y+7) . What are the coordinates of the vertex and focus of the parabola? What is the equation of the directrix?
Answers
The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.
The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.
Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).
The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).
To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.
In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.
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In the figure below, two secants are drawn to a circle from exterior point V.
Suppose that VZ=30, VW=45, and VX=22.5. Find XY.
Answers
The value of secant XY is 37.5 units.
How to find the value of secant XY?The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".
Using the theorem above, we can say:
VZ * VW = VX * VY
30 * 45 = 22.5 * VY
22.5VY = 1350
VY = 1350/22.5
VY = 60 units
Since VY = VX + XY. We have:
60 = 22.5 + XY
XY = 60 - 22.5
XY = 37.5 units
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Calculate the equivalent ratio 1.25 : 3.75 : 7.5
Answers
The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.
By multiplying each number in the ratio by 4, we get:
1.25 * 4 = 5
3.75 * 4 = 15
7.5 * 4 = 30
So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.
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What is 41 + 3 HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
44
Step-by-step explanation:
Answer: 44
Step-by-step explanation:
This is quite simple, Are you sure you can't do it on your own?
10) Yellowstone National Park is a popular field trip destination. This year the senior class at High
School A and the senior class at High School B both planned trips there. The senior class at High
School A rented and filled 6 vans and 8 buses with 420 students. High School B rented and filled
12 vans and 11 buses with 600 students. Every van had the same number of students in it as did
the buses. Find the number of students in each van and in each bus.
Answers
Answer:
b = 48
v = 6
Step-by-step explanation:
Equations:
6v + 8b = 420students
12v + 11b = 600students
----------------------------
Modify for elimination::
12v + 16b = 840
12v + 111b = 600
----------------
Subtract and solve for "b"::
5b = 240
b = 48 (# of students in each bus)
----
Solve for "v"::
6v + 8b = 420
6v + 8*48 = 420
6v = 420-384
6v=36
v = 6 (# of students in each van)
===============
For Check
12(6)+11(48)=600
72+528=600
600=600
Immediate assistance needed, please
Answers
The jumper is in free fall for 7.07 s if the parachute is opens at 1000 ft
The jumper is in free fall for 7.29 s if the parachute is opens at 950 ft
The reasonable domain for the function h is
0 ≤ t ≤ 10
The reasonable range for the function h is
0 ≤ h ≤ 1800
How to find the time of free fallThe duration of free fall is calculated using the given function
h = -16t² + 1800
the parachute is opens at 1000 ft
h = -16t² + 1800
1000 = -16t² + 1800
16t² = 1800 - 1000
16t² = 800
t² = 800 / 16
t² = 50
t = √50
t = 7.07 s
the time at this situation is 7.07s
the parachute is opens at 950 ft
h = -16t² + 1800
950 = -16t² + 1800
16t² = 1800 - 950
16t² = 850
t² = 850 / 16
t² = 53.125
t = √53.125
t = 7.2887 s
the time at this situation is 7.29s
reasonable domain
minimum t = 0
for maximum t, h = -16t² + 1800 = 0
16t² = 1800
t = 10.61
0 ≤ t ≤ 10
the reasonable domain is 0 ≤ t ≤ 10
reasonable range
h = -16t² + 1800
at t = 0, h = 1800
at t = 10.606, h = 0
0 ≤ h ≤ 1800
the reasonable range is 0 ≤ h ≤ 1800
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If a man earns $3580 per month and spends 65% of it. How much does he save every month?
Answers
Explanation: 65% of $3580 is $2327, meaning he spends $2327 per month. He has $1253 left over because $3580-$2327=$1253.
5×70=5×(_×10)
5×70=(5×_)x10
5×70=_×10=_
Answers
Answer:
7
7
35 * 10 = 350
Step-by-step explanation:
We have 5 * 70 split up into multiple ways, and we need to provide an answer at the end of it.
5 * 70 = 5 * (__ * 10)
We have to equal the value of 5 * 70 by inputting the missing number.
What times 10 equals 70?
7.
5 * 70 = (5 * __) * 10
This goes for the same as the one before, what times 5 equals 5 * 70 to the same amount?
7.
5 * 70 = __ * 10 = __
Now for the final part, we take the information from before and implement to here, what is 5 * 7?
35.
Now do 35 * 10 :
35 * 10
350
30. When the polynomial f(x) = (p-1)x³ + px² + qx +r, where p, q and r are constants, is divided by (x + 2) and (x - 1), the remainders are - 5 and 4 respectively. If (x + 1) is a factor of f(x), find the values of p, q and r. Hence, factorize f(x) completely.
Answers
Answer:
Step-by-step explanation:
Using the remainder theorem we get:
\(f(-2)=-5\), \(f(1)=4\), and \(f(-1)=0\)
So we get
\(f(-2)=(-8)(p-1)+4p-2q+r=-5\)
\(-8p+8+4p-2q+r=-5\)
\(-4p-2q+r=-13\) \((a)\)
\(f(1)=(p-1)+p+q+r=4\)
\(2p+q+r=5\) \((b)\)
\(f(-1)=-(p-1)+p-q+r=0\)
\(-q+r=-1\) \((c)\)
We need to solve (a), (b) and (c) simultaneously to find p,q, and r.
from \((c)\) \(r=q-1\). Sub this into (a) and (b):
\(-4p-2q+(q-1)=-13 \rightarrow -4p-q=-12\) \((d)\)
\(2p+q+(q-1)=5 \rightarrow q=3-p\) \((e)\)
Sub (e) into (d) we get
\(-4p-(3-p)=-12 \rightarrow p=3\)
Sub \(p=3\) into \((e) \rightarrow q=0\)
Sub \(p=3,q=0\) into \((c) \rightarrow r=-1\)
SOLUTION: \(p=3,q=0,r=-1\)
So \(f(x)=2x^3+3x^2-1\)
by dividing (x+1) into f(x) we get (I am not showing working for this division)
\(f(x)=(x+1)(2x^2+x-1)\)
\(\rightarrow f(x)=(x+1)(2x-1)(x+1)\)
1+2+3+4+5+6+7+8+9+10+11+12+13+14+4545343564312651425643534542563-456+0x124576867
Answers
Answer:
4.5453436e+30
You can search for any mathematical expression, using functions such as: sin, cos, sqrt, etc. You can find a complete list of functions here.
(
)
%
AC
7
8
9
÷
4
5
6
×
1
2
3
−
0
.
=
+
Rad
Deg
x!
Inv
sin
ln
π
cos
log
e
tan
√
Ans
EXP
xy
=
123
Fx
Answer:
4.54534356E30
Step-by-step explanation:
I'm sure
Chicken Nuggets
need help asap!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: I haven’t done this in a bit, but I think this is right.
Step-by-step explanation:
Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line.
Estimate how far the hurdles are from one another. Explain your reasoning.
Answers
Answer:
600 and 3
Hope this helps:)
What are the differences in acquisition of data from a live (turned on) system, compared to one that not on (turned off) at the time you encounter it
Answers
Differences in acquired data depending on whether data was captured during live or static acquisition include ;
One very major difference is the volatility of the gathered information, as data gathered through live acquisition changes in real time as they aren't write - protected while those gathered when system is turned off are very less likely to change
Live data are usually gathered from system registry or computer RAM through the actual system interface in real time. While static data could be acquired form storage devices such as drives, hard disks and so on.
Similary, real time acquisition of live data must be noted due to their volatility in other to ensure validity.
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HELP AS SOON AS POSSIBLE
Answers
The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).The original coordinates for this problem are given as follows:
A(0,0), B(5,2), C(5,-5), D(0,-3).
Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
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