Point P is located 3/5 of the way from point A to point E. Point A is located at (-1, -1) and point P is located
at (-7,5). What are the coordinates for point E?
Answers
By using the line segment formula, we conclude that the coordinates of point E are E(x, y) = (- 11, 9).
How to determine the coordinates of the missing endpoint of a line segment
In this problem we find a line segment of which the coordinates of an endpoint and a point within the segment and in accordance with a segment ratio are known. The coordinates of the other endpoint must be found in accordance with the following expression:
E(x, y) = A(x, y) + k · [P(x, y) - A(x, y)] (1)
Where E(x, y) is the missing endpoint.
If we know that A(x, y) = (- 1, - 1), P(x, y) = (- 7, 5) and k = 5 / 3, then the coordinates of point E are:
E(x, y) = (- 1, - 1) + (5 / 3) · [(- 7, 5) - (- 1, - 1)]
E(x, y) = (- 1, - 1) + (5 / 3) · (- 6, 6)
E(x, y) = (- 1, - 1) + (- 10, 10)
E(x, y) = (- 11, 9)
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Related Questions
I don’t really understand how to get this one :/
Answers
in function notation, we get that the transformed function is:
g(x) = -2*f(x - 10) + 800
How to identify the transformation?
Here the parent function is:
f(x) = x^2
And the transformed function is the one graphed in the lower right side of the given image.
Notice that the y-intercept of the transformed function is y = 600.
The x-intercepts are x = -10 and x = 30
Then the polynomial is something like:
y = a*(x + 10)*(x - 30)
Using the fact that the y-intercept is y = 600, then:
600 = a*(0 + 10)*(0 - 30) = a*-300
600/-300 = a = -2
The transformed function is:
g(x) = -2*(x + 10)*(x - 30)
Expanding that:
g(x) = -2( x^2 + 10x - 30x - 300)
Completing squares we get:
g(x) = -2*( x^2 - 20x - 300)
= -2*(x^2 - 2*10*x - 300)
Now we can add and subtract 100, so we get:
-2*(x^2 - 2*10*x - 300 + 100 - 100)
-2*( (x - 10)^2 - 400)
Finally, expanding that:
g(x) = -2*(x - 10)^2 + 800
Writing it in function notation, we get that the transformed function is:
g(x) = -2*f(x - 10) + 800
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large pies cost $5, and small pies cost $2. if 45 pies were sold for $120, how many small pies were sold ?
Answers
Answer:
35 small pies
Step-by-step explanation:
Framing system of linear equations and solving:Let the number of large pies be 'l' and
The number of small pies be 's'.
Total pies sold = 45
⇒ l + s = 45 ------------(I)
l = 45 - s -------(II)
Cost of 45 pies = $120
Cost of 1 large pie = $5
Cost of 'l' large pies = 5*l = 5l
Cost of 1 small pie = $2
Cost of 's' small pie = 2*s = 2s
5l + 2s = 120 --------------(III)
Solving : substitution method
Substitute l = 45 -s in equation (III)
5*(45 - s) + 2s = 120
5*45 - 5*s + 2s = 120
225 - 5s + 2s = 120 {Combine like terms}
225 - 3s = 120
-3s = 120 - 225 {Subtract 225 from both sides}
-3s = -105
s = -105 ÷ (-3) {Divide both sides by (-3)}
s = 35
Substitute s = 35 in equation (II),
l = 45 - s
= 45 - 35
l = 10
[tex]\sf \boxed{\text{\bf 35 small pies were sold}}[/tex]
Ginny Brown hoped her crops would get 3 3/4 inches of rain this month. The newspaper said the area received 3.8 inches of rain. Was that more or less than Ginny hoped for? By how much?
Answers
Answer:
More, by 0.05 or [tex]\frac{1}{20}[/tex] inches more.
Explanation:
Find out if the amount of rain was more or less by subtracting the desired outcome from the real outcome. If the answer comes out as positive then the amount of rain was more and if the answer is negative, it was less.
Workout:
[tex]\sf real \ outcome - desired \ outcome[/tex]
[tex]3.8 - 3\dfrac{3}{4}[/tex]
[tex]3.8 - 3.75[/tex]
[tex]0.05[/tex]
Hence, The rain was more than ginny expected by 0.05 inches more.
a clydes dale drinks about 120 gallons of every 4 days at this rate how many gallons of water does a clydsdale drink in 28 days
Answers
The gallons of water that a clydsdale drink in 28 days will be 840 gallons.
How to calculate the gallons?It should be noted that Clyde's dale drinks about 120 gallons of every 4 days. Therefore, the gallons Frank in a day will be:
= 120 / 4
= 30 gallons
Therefore, the gallons drank for 28 days will be:
= 30 × 28
= 840 gallons.
Therefore, the gallons of water that a clydsdale drink in 28 days will be 840 gallons.
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Help please! For highschool algebra! You will get 20 points and no links please :)
Answers
Answer: a. 12x+19
b. 67
Step-by-step explanation:
a. P=a+b+c+d
P=x+7+2x+2+8x+x+10
P=x+2x+8x+x+7+2+10
P=3x+9x+19
P=12x+19
b. P=12(4)+19
P=48+19
P=67
need help !! Please somebody help
Answers
Answer:
The bottom Option
Note:
Due to my sus vibes from your questions, this is the last one I am answering from you. this is basic and easy if you read it.
a consumer affairs investigator records the repair cost for 1010 randomly selected vcrs. a sample mean of $72.82$72.82 and standard deviation of $24.17$24.17 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the vcrs. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
Answers
Your question was incomplete. Please refer the content below:
Consumer affairs investigator records the repair cost for 10 randomly selected VCRs. A sample mean of $72.82 and standard deviation of $24.17 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the VCRs. Assume the population is approximately normal. Construct the 90% confidence interval. Round your answer to two decimal places.
We get that the critical value of the 90 % confidence interval is 1.833 and the interval is (58.81, 86.83).
We are given that the number of VCRs are 10.
So, we get that:
Sample size = n = 10
Now, we get the degree of freedom as:
d o f = n - 1
d o f = 10 - 1
d o f = 9
For 90% confidence interval , critical value will be:
t (0.10, 9) = 1.833
Lower limit of 90% confidence interval will be:
Lower interval = Mean - t (0.10,9) × s / √n
= 72.82-1.833 × 24.17 /√10
= 58.81
Upper limit of 90% confidence interval will be:
Upper interval = Mean + t (0.10,9) × s /√n
= 72.82 + 1.833 × 24.17/√10
= 86.83
Therefore, we get that the critical value of the 90 % confidence interval is 1.833 and the interval is (58.81, 86.83).
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Julio is paid 1.3 times his normal hourly rate for each hour he works over 29 hours in a week. last week he worked 44 hours and earned $456.32
Answers
The hourly rate is $9.40 per hour.
How to calculate the hourly rate?It should be noted that in this case, Julio works for 44 hours which mean 15 hours more than 29 hours.
He gets 1.3 times rate for this 15 hours and normal rate for the first 29 hours. Then the salary he would get should be: 29x + 1.3x(15)= 29x + 19.5x= 48.5x
Julio gets $456.32 which was 48.5 times of his hourly rate. The hourly rate would be:
= $456.32 /48.5
= $9.40/hour
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Julio is paid 1.3 times his normal hourly rate for each hour he works over 29 hours in a week. last week he worked 44 hours and earned $456.32.
Calculate the hourly rate.
Sebastian started watching a movie at 17:30 (5:30 pm).
The movie was 1 hour and 54 minutes but partway through he paused it for 15 minutes.
What was the time when he finished the movie?
Give your answer using the 24 hour clock.
Answers
for exercises 17 and 18, find the acute angle between the given lines by using vectors parallel to the lines. y
Answers
Your question was incomplete. Please refer the content below:
For Exercises 17 And 18, Find The Acute Angle Between The Given Lines By Using Vectors Parallel To The Lines.
y = x , y = 2 x + 3
The acute angle between the lines y = x and y = 2 x + 3 is 18.4349°.
We are given the lines:
y = x
y = 2 x + 3
The formula for finding the angles between two vectors is given by:
cos θ = u · v / | u | | v|
We know that (0,0) and (1, 1) lies on the line y = x.
Now, vector u for the line y = x will be:
u = (1,1) - (0,0) = {1, 1}
(0,3 ) and (1, 5) lies on the line y = 2 x + 3
Similarly, vector v will be equal to:
v = (1, 5) - (0, 3) = {1, 2}
cos θ = {1, 1} · {1, 2} / √1 + 1 √1 + 4
cos θ = 1 + 2 / √10
cos θ = 3 / √10
θ = cos⁻¹ ( 3 / √10)
θ = 18.4349°
Therefore, the acute angle between the lines y = x and y = 2 x + 3 is 18.4349°.
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5. The box plot represents the distribution of the number of points scored by a cross country team at 12 meets.
Answers
Answer:5 teams
Step-by-step explanation:
4 ÷ 2/5
Help (( 15 points ))
Answers
[tex]4 \div \frac{2}{5} [/tex]
[tex]4 \times \frac{5}{2} [/tex]
[tex]2 \times 5[/tex]
[tex]10[/tex]
Answer:10
Step-by-step explanation:
first step 4× 5/2
second step 4x5
2
third step is to simplify 20/2 which is
10
ASAP!!! PLEASE HELPPP!!Write an equation for the following sentence, then solve for the unknown value.
3 times the difference of a number and 8 is less than 15.
Answers
Answer:
3(x - 8) < 15
Step-by-step explanation:
3(x - 8) < 15
3x - 24 < 15
3x < 39
x < 13
the area of a certain state is 840000 square miles. what is this area in scientific notation?
1. 8.4x10.-4
2. 84x10.-3
3. 84x10.3
4. 8.4x10.5
please help
Answers
Answer:
4. 8.4×10^5
Step-by-step explanation:
The exponent of ×10 is the amount of places that you move the decimal. When the exponent is negative, you move the decimal to the left and when it is positive, you move it to the right. Number 1 and 2 are wrong right away because they move the decimal to the left which is not what we want. Number 3 is wrong because there are not enough 0's when we move the decimal. So, option 4 is correct. I hope this helps!
7/4 to 4 is the same as x to 32
Answers
Answer:
14
Step-by-step explanation:
7/4:4 = x:32
x = 32(7/4) / 4 = 14
let v = (2, 3, 1), w = (1, 1, 1), and 3u + 2v 4w = (1, 2, 3). find (a) the vector u (b) the linear combination: 2u 3v + 5w
Answers
The vector u is [tex]\frac{-7}{3} i -\frac{8}{3}j -k[/tex].
The linear combination 2u + 3v + 5w is 19/3 i + 17/3 j + 6k.
According to the given question.
v = (2, 3, 1)
w = (1, 1, 1)
And
3u + 2v + 4w = (1, 2, 3)
From,
v = (2, 3, 1)
⇒ v = 2i + 3j + 1k
w = (1, 1, 1)
⇒ w = i + j + j
a). Let vector u be xi + yj + zk
Here,
3u + 2v + 4w = (1, 2, 3)
⇒ 3u + 2v + 4w = i + 2j + 3k
⇒ 3(xi + yj + zk) + 2(2i + 3j + k) + 4(i + j +k) = i + 2j + 3k
⇒ 3xi + 3yj + 3zk + 4i + 6j + 2k + 4i + 4j + 4k = i + 2j + 3k
⇒3xi + 3yj + 3zk + 8i + 10j + 6k = i + 2j + 3k
⇒ 3xi + 3yj + 3zk = i + 2j + 3k - 8i -10j -6k
⇒ 3xi + 3yj + 3zk = -7i -8j -3k
⇒ xi + yj + zk = (1/3)(-7i -8j-3k)
⇒ xi + yj + zk = [tex]\frac{-7}{3} i -\frac{8}{3}j -k[/tex]
b). The linear combination
2u + 3v + 5w
= 2(-7/3i -8/3j - k ) + 3(2i + 3j + k) + 5(i + j + k)
= -14/3 i -16/3j -2k + 6i + 6j + 3k + 5i + 5j + 5k
= -14/3 i -16/3j -2k + 11i + 11j + 8k
= 19/3 i + 17/3 j + 6k
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please answer this its due by 12
Answers
Answer:
4. 4(x+1)
5. 7(d+4)
6. y(y+3)
Answer:
I could be totally wrong but ill tr7
Step-by-step explanation:
4. 12 OR 4x+4
5. 56 (28+28)
6. y^2 + 3y
in the eight-term sequence $a$, $b$, $c$, $d$, $e$, $f$, $g$, $h$, the value of $c$ is 5 and the sum of any three consecutive terms is 30. what is $a h$?
Answers
The value of A + H is 25 for the given sequence.
What is a series?A sequence's series is the total number of terms in the sequence.
A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.
Given that sum of any three consecutive terms is 30
Since c = 5
So a + b + c = 30
a + b = 25
⇒ (a+b)+(c+d+e)+(f+g+h)
⇒ 25 + 30 + 30 = 85
Now,
a+b+c+d+e+f+g+h = 85
a + h +(b+c+d)+(e+f+g) = 85
a + h + 30 + 30 = 85
a + h = 25
Hence "The value of A + H is 25 for the given sequence".
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Sebastian has 100$ he spits it to four of his friends how much does sebastian give?
Answers
Answer: $25 to each friend
Step-by-step explanation: 100 divided by 4 = 25
Members of a softball team raised $1943.50 to go to a tournament. they rented a bus for $1148.50 and budgeted $53 per player for meals. write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.
Answers
The number of players the team can bring to the tournament are 15
Firstly we need to form the equation. The components of equation based on given information are as follows -
Total amount raised by softball team = Cost of bus + Cost of meal × number of players
Let the number of players be represented with x.
1943.50 = 1148.50 + 53×x
Rewriting the equation
53x = 1943.50 - 1148.50
Performing subtraction to Right Hand Side of the equation
53x = 795
Shifting 75 to Right Hand Side of the equation
x = 795 ÷ 53
Performing division at Right Hand Side of the equation
x = 15
Hence, 15 players the team can bring to the tournament.
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please help!
not sure how to solve 6
write the slope intercept form of the equation of the line through the given point with the given slope
Answers
Answer: x = 1
Step-by-step explanation:
Since the slope is undefined, that means it will be a vertical line. The equation of a vertical line is: x = h, where h is the x-value/coordinate it runs through. Based on your given point (1, 3), the x-coordinate is 1, so that makes the equation of your line x = 1.
A hippopotamus can run 6 kilometers in 15 minutes. At this rate, how far can the hippopotamus run in 1 minute? __ kilometer(s) per minute
Answers
Answer:
15 minutes=1km
1 minute=?
(15m:m)×1km
minutes cancel minutes
15×1km=15km
If 21% of a number is 3, find 7% of that number.
Answers
Answer:
7% of the number is 1.
Step-by-step explanation:
21%=3
Divide both sides by 3
7%=1
Answer:
1
Step-by-step explanation:
let x be the number.so.......
if 21%of a number means 21÷100*the number(x)=3
21÷100×X=3 so when we solve this first we have to criss-cross and then 21*X=3*100
then we both divide by 21 in order to get x .so x is going to be 100 divided by 7
then.......
we are asked to get how much percent of 100÷7 is 7% so...let the answer be y
7÷100*X=y
7÷100*100*7 =Y
when calculated the answer will possibly be 1 :)))
A recipe calls for of a cup of milk for 12 cookies. How many cups of milk are needed to make 72 cookies?
Answers
Answer: 6 cups of milk
Step-by-step explanation:
Set-up proportion
[tex]\frac{1}{12} =\frac{x}{72}[/tex]
1*72=72/12=6
6 cups of milk
help with this question please! with show work
Answers
Check out the attached photo
Let me know in the comments if something isn’t understandable
I need help with this question!
Answers
the angle measures less than 90°, thus, the correct classification is acute.
Which is the correct classification for the angle ∠JML?
First, let's define the possible angles that we have here:
Obtuse: With a measure larger than 90° and smaller than 180°Acute: With a measure between 0° and 90°Right: With a measure of 90°Straight: With a measure of 180°.Notice that the angles HML and LMK should add up to 180°, then we can write:
∠HML + ∠LMK = 180°
132° + ∠LMK = 180°
∠LMK = 180° - 132° = 48°
Now we can see that:
∠JML = ∠JMK + ∠LMK
∠JML = 41° + 48° = 89°
So the angle measures less than 90°, thus, the correct classification is acute.
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Is this answer correct?
Answers
Answer:
yes this is correct
Step-by-step explanation:
this is correct because angle gqh is adjacent to mqk, meaning they are the same degree which would mean kqg and hqm are adjacent
Using the diagram and the given angle measure to find the other three angle measures
Answers
Based on the given.
If [tex]m∠2 = 59°[/tex]
Then, [tex]m∠4 = 59 °[/tex]
(reason: vertically opposite angles are equal)
If [tex]m∠4 = 59 °[/tex]
Then, [tex]m∠1⟹ 180 - 59 = 121 °[/tex]
(reason: angles on a straight line = 180°)
If [tex]m∠1 = 121°[/tex]
Then, [tex]m∠3 = 121°[/tex]
(reason: vertically opposite angles are equal)
Therefore:
[tex]m∠1 = 121°[/tex]
[tex]m∠3 = 121°[/tex]
[tex]m∠4 = 59 °[/tex]
See attached image for the placement of the values.
A stack of one dozen cookies with diameter of 5in. exactly fits in a cylindrical container of volume 176.715 in^3. which is the thickness of each cookie?
Answers
The thickness of each cookie is 0.75 inch.
The cookies are in cylindrical container, hence, the shape of cookies will also be cylindrical. Now, the volume of cylinder is given by the formula : V = πr²h, where V refers to volume, r refers to radius and h represents height.
So, volume of 12 cookies will be equal to the cylindrical container.
Radius of cookies = Diameter÷2
Radius of cookies = 5÷2
Radius of cookies = 2.5 inches
Taking π as 3.14
Volume of a stack of cookies = 3.14×2.5²×h
Volume of a stack of cookies = 19.625h
Relating both the volumes to find the value of h
19.625h = 176.715
h = 176.715 ÷ 19.625
Performing division to find the height
h = 9 inches
So, height of 12 cookies is 9 inches
Height of 1 cookie = 9 ÷ 12
Height of 1 cookie = 0.75 inch
Thus, the thickness of each cookie is 0.75 inch.
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with show work please!
Answers
Check out the attached photo