What are the coordinates of the point on the directed line segment from (–9, -7) to
(-2,7) that partitions the segment into a ratio of 3 to 4?
Answer:
Step-by-step explanation:
Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:
x coordinate: [tex]\frac{bx_1+ax_2}{a+b}[/tex] and
y coordinate: [tex]\frac{by_1+ay_2}{a+b}[/tex]
where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:
the x coordinate of the directed point is
[tex]\frac{4(-9)+3(-2)}{7}[/tex] which simplifies down to -6, and
the y coordinate of the directed point is
[tex]\frac{4(-7)+3(7)}{7}[/tex] which simplifies down to -1.
The coordinate of the point is (-6, -1). Write that down so you don't forget it.
The coordinates of the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4 are (-5, 1).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
To find the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4, we need to use the formula.
[tex]P = ( (4x_2 + 3x_1)/(4+3), (4y_2 + 3y_1)/(4 + 3) )[/tex]
where P is the point we're looking for, (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the segment, and the numbers 4 and 3 come from the ratio 3 to 4.
Plugging in the values.
P = ( (4 x (-2) + 3 x (-9))/(4 + 3), (47 + 3(-7))/(4 + 3) )
Simplifying.
P = (-5, 1)
Therefore,
The coordinates of the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4 are (-5, 1).
Learn more about coordinates here:
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Find the degree measure of the angle with the given radian measure. (Round your answer to one decimal place.)
Answer:
108 degrees
Step-by-step explanation:
Since we are not given the radian measure. Let the radian measure be 3π/5 rad;
Using the conversion;
πrad = 180°
3π/5 rad = x
Cross mulriply;
π * x = 180 * 3π/5
x = 180 * 3/5
x = 36 * 3
x = 108 degrees
Hence the degree measure is 108 degrees
Note that the same conversion can be used to convert other values in radians
I'll give brainliest hurry
Answer:
p
Step-by-step explanation:
Irene can snap 48 times in 8 minutes at a constant rate. How many
times can she snap in 9 minutes?
Answer:
54 times in 9 mins.
Step-by-step explanation:
divide 48/8 = 6
6 times 9 = 54
There are 30.48 centimeters in 1 foot. About many feet are equivalent to 500 centimeters?
Answer:
I think the answer is 16.4042. I hope this helped:D
Step-by-step explanation:
3m+3(m+6)
answer fast please.
Answer: 18
-3m + 3(m + 6)
= -3m + 3m + 18
= 18
Step-by-step explanation:
I don’t know how to do this lol someone help
Description:
1:
Subtract the numbers 14-2 =12
Add the numbers 3+3 =6
Drivide the numbers 12/6 =2
Answer:
1: =2
Hope this helps
What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of lineAnswer:
Step-by-step explanation:
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of line
Richard is selling bundles of wood. The total weight of the wood he is selling is 6,165 pounds, and there are 90 bundles. If each bundle weighs the same, how much does one bundle of wood weigh?
Answer:
each bundle weighs 68.5 lb
Step-by-step explanation:
6165/ 90
HELP?!?!?!?!!!! THANKS FOR HELPING
Answer: its the second one
Step-by-step explanation: hope this helps
There are 17 students on the bus and 22 adults. What is the ratio of students to total?
Answer:
17:39
Step-by-step explanation:
17+22= 39
total students 17
so 17:39
hope it helps!
Answer:
The ratio is 17:39
Step-by-step explanation:
So 17 boys=17 at beginning
To find how many in total, do 17+22=39!
So 17:39
Hope this helps! And mark This Brainliest please!!
Answers :
A:25
B:9
C:5
D:4
Answer:
B:9
Step-by-step explanation:
f(x) = 2x2 + 4x - 5
g(x) = 6.23 - 2.2 + 3
Find (f - g)(x).
O A. (f - g)(x) = -6x3+4x2 + 4x - 8
O B. (f - g)(x) = -6x3 + 4x2 + 4x - 2
O c. (f - g)(x) = 623 - 4x2 - 4x + 8
D. (f - g)(x) = 6x3 + 4x - 2
Answer:
C .
Step-by-step explanation:
Please please please help me In what year did the car value for below $9000
A.in year 6
B. In year 8
C. In year 2
D. In year 4
Answer:
D
Step-by-step explanation:
Abigale drove 20 kilometers in 10 minutes, and Jordan drove 30 kilometers in 15 minutes.
Both Abigale and Jordan drove at a constant speed.
Did Abigale and Jordan drive at the same speed? Explain your reasoning.
Answer:
15
Step-by-step explanation: 20+10+3+30 =30
Find the slope of regular AB, and make sure you reduce the fraction to simpelist form
Answer:
The slope is 1/2.
Step-by-step explanation:
guys please help me with this serous question
Answer:
Step-by-step explanation:
$1 times 5 equals $5
$30-$5= $25
$25 divide by each 5 friends equals $5. So your answer is $5
$6 notebook; 50% off; 7% tax
Answer: The notebook is worth 2.79
Step-by-step explanation: Let's start off with taking 50% off of 6, which is 3$. Now we need to do 7% of 3:
7 x 3 = 21
21 / 100 = 0.21
3 - 0.21 = 2.79
Hope this helps :)
In a survey of 300 adults, 45 had traveled outside the United States before. What percentage of adults had traveled outside the U.S. before?
Explain GOOD to get brainly
Answer:
15%
Step-by-step explanation:
45/300*100=15
hope it helps
Help I need the answer as soon as possible
Answer:
D.
Step-by-step explanation:
First, you multiply 18 1/4 with 10 1/2 and you get 191 5/8. Then you multiply 191 5/8 with 12 3/4 and you get D. 2443 7/32
PLS HELP STATTTTTTTTTTTTTTTTTTTTT
Miss Hampton has 88 gold stickers. She wants to give the same number of stickers to each of her 9 students. If she gives away as many stickers as she can, how many stickers will be left over? [REMAINDER]
Answer:
She will have 7 stickers left over
Answer:
She will have 7 gold-painted stickers left.
If she gives each of them 9, then she'll be giving away 81.
Step-by-step explanation:
Kylie is 59.54 inches tall. Her friend Adam is 1.37 inch taller than she is. How tall is
Adam?
A 58.17 inches tall
B 60.85 inches tall
C 60.91 inches tall
D 70.35 inches tall
Allen bought a computer that was 25% off the regular price of $480.
If an 5% sales tax was added to the cost of the computer, what was the total price Allen paid for it?
Answer:
144? or 126 sorry
Step-by-step explanation:
pls help me on this iready question I beg u
Answer:
We conclude that for 1/2 batch, Faird would require 3/8 cups of sugar.
Step-by-step explanation:
Suger needed for a full batch = 3/4Given that Farid is making 1/2 of batchWe need to determine the expression for the amount of sugar Freed needs to make 1/2 batch.
Let 'x' be the batch and 'y' be the amount of sugar
Suger needed for a full batch = 3/4 cup of a sugar
so
x = 3/4yBut, Farid is making 1/2 of the batch.
Thus, multiply both sides by 1/2
[tex]x\times \frac{1}{2}\:=\:\frac{3}{4}y\times \frac{1}{2}[/tex]
[tex]\frac{x}{2}=\frac{3y}{8}[/tex]
Therefore, we conclude that for 1/2 batch, Faird would require 3/8 cups of sugar.
Can some one help me please god bless you
25 points
Explain how to convert 6 feet into meters.
Answer:
1.8288 google feet to meter conversion
Step-by-step explanation:
1 foot is 0.3048 meters
1.8288 is the answer i hope
What is the domain of the function graphed?
A) {x: x greater or equal to 4}
B) {x: x less than or equal to 2}
C) {x: x greater than or equal to 2}
D) All Real Numbers
Answer:
I think is c
Step-by-step explanation:
what is the coefficient of 4x+9
a size 8 kids shoe measures 9 2/3
How is the square root calculated using the Newton-Raphson method?
no answer needed, just take the points, I have the answer.
Step-by-step explanation:
jfjdjxjdjdnndnsnsnsns
Answer:
thanks for the points
Step-by-step explanation:
jdkdhdbkejebejeejjejebsbehehs