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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can u pls help me with this question
Answer:
1/8 paintings per week
Step-by-step explanation:
If the artist completes 1/4 of a painting in 2 weeks, then in half the time (1 week), the artist will complete half the work which is 1/8.
Hope this helps :)
An ice cream shops uses 28 gallons of milk daily. How many cups of milik does the ice cream shop use daily
448 cups
44 cups
112 cups
0328 049
HELP PLEASEEEEEEEEEEEEEEEEEEEEEE ITS A GRADE
Answer:
as x increases, y increses
the parabola grows wider and taller, meaning that the y and x values will both increase:)
Answer:
B for the first graph (as x increases, y increases), D for the second graph (as x increases, y decreases), D for the third graph (minimum at y = -9), and A for the forth graph (the graph opens up because the a value in the equation is positive)
find the slope please help!
Answer:
-1/5
Step-by-step explanation:
We are given 3 points, (-3, 1), (2, 0), and (3, 3). We only need two to solve for the slope using the formula [ y2-y1/x2-x1 ].
0-1/2-(-3)
-1/5
Best of Luck!
A wooden artifact is found in an ancient tomb. Its carbon-14 14 6 C activity is measured to be 65.0% of that in a fresh sample of wood from the same region. Assuming the same amount of 14C was initially present in the artifact as is now contained in the fresh sample, determine the age of the artifact.
Answer:
3560.622 yr
Step-by-step explanation:
See the attachment for calculation details
The stock of Company A lost 1.5% today to $19.70. What was the opening price of the stock in the beginning of the day?
Answer:
23.78
........................
Wich ordered pair is a solution to the followimg inequality?
[tex]y\leq \frac{2}{5}x-2[/tex]
(5,0)
(0,5)
(-2,5)
(-5,2)
Answer:
Option A: (5,0)
Step-by-step explanation:
Given
[tex]y \leq \frac{2}{5}x-2[/tex]
Required
Select an ordered pair
Option A: (5,0)
This means
[tex]x = 5[/tex] [tex]y = 0[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]0 \leq \frac{2}{5} * 5 - 2[/tex]
[tex]0 \leq 2 - 2[/tex]
[tex]0 \leq 0[/tex]
This is a true statement.
Option B: (0,5)
This means
[tex]x = 0[/tex] [tex]y = 5[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]5 \leq \frac{2}{5}* 0 -2[/tex]
[tex]5 \leq 0 -2[/tex]
[tex]5 \leq -2[/tex]
This is a false statement.
Option C: (-2,5)
This means
[tex]x=-2[/tex] [tex]y = 5[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]5 \leq \frac{2}{5}* -2 -2[/tex]
[tex]5 \leq \frac{-4}{5} -2[/tex]
[tex]5 \leq \frac{-4-10}{5}[/tex]
[tex]5 \leq \frac{-14}{5}[/tex]
[tex]5 \leq -2.8[/tex]
This is a false statement.
Option D: (-5,2)
This means
[tex]x=-5[/tex] [tex]y = 2[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]2 \leq \frac{2}{5}* -5 -2[/tex]
[tex]2 \leq -2 -2[/tex]
[tex]2 \leq -4[/tex]
This is a false statement.
Only option A represents a true statement,
Hence, option A is a solution to the inequality
Help me pleaseee (10 points)
Answer:
Step-by-step explanation:
tan(16)=125/a
tan(16)=35.8 (DC)
tan(7)=125/a
tan(7)=15.3
35.8-15.3=20.5
Sorry if that's incorrect, my best is 20.5 feet.
======================================================
Work Shown:
Let
x = length of AD in feet
y = length of DC in feet
x and y are positive real numbers.
For now, focus on triangle BCD. Ignore point A and its associated angle.
tan(angle) = opposite/adjacent
tan(D) = BC/DC
tan(16) = 125/y
y*tan(16) = 125
y = 125/tan(16)
y = 435.926805480113
y = 435.926805
The value of y is approximate
Now focus on triangle ABC. Ignore point D and its associated angle.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = BC/(AD+DC)
tan(7) = 125/(x + y)
(x+y)*tan(7) = 125
x*tan(7) + y*tan(7) = 125
x*tan(7) = 125 - y*tan(7)
x = ( 125-y*tan(7) )/( tan(7) )
x = ( 125-435.926805*tan(7) )/( tan(7) )
x = 582.116498496824
x = 582
The distance from A to D is approximately 582 feet.
Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection.
Translation: (x, y)→(x−3, y)
Reflection: in the line y=−1
Answer:
Step-by-step explanation:
Points R(4,1) S(7,3) T(6,4) after translation
R(4-3, 1) S(7-3, 3) T(6-3, 4)
R'(1, 1) S'(4, 3) T'(3, 4)
Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection
R''(1, -3) S''(4, -5) T''(3, -6)
The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In a bag, there were 137 red Skittles, 39 orange ones, 130 yellow ones, 39 green ones, 43 blue ones and 112 purple ones. Do the Skittles in the bag match the required color distribution?
Answer:
No
Step-by-step explanation:
Given that:
Percentage of blue, orange and green = 10%
Percentage of yellow, red and purple = 23.3333%
Number of skittles in bag by color :
Red = 137
Orange = 39
Yellow = 130
Green = 39
Blue = 43
Purple = 112
According to the color distribution :
Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.
Total number of skittles :
(137 + 39 + 130 + 39 + 43 + 112) = 500
10% of the total = 0.1 * 500 = 50
Hence,
We should have 50 blue, orange and green skittles
23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)
3200 dollars is placed in an account with an annual interest rate of 8.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 9600
dollars?
Hello, I come from the deltamath past to help you, in the deltamath future. It’s 13.9
Solve.
6x - 28 =-76. X=
Answer:
6x-28+28=-76+28
6x=-48
6x÷6=x
-48÷6 =-8
x=-8
Step-by-step explanation:
correct me or wrong
Liza and Kelly rode their bikes everyday for five days. They each rode the same distance everyday. Lisa rode 60 miles in all and Kelly rode 25 miles in all. How many more miles per day did Lisa ride than Kelly?
Answer:
60/5=12 25/5=5 7 more miles a day
Step-by-step explanation:
plzz mark brainiest
help i asked this 3 times i will do brainliest no troll answers!
Answer:
Number two
Exact Form:
11/2
Decimal Form:
5.5
Mixed Number Form:
5
1/2
Step-by-step explanation:
sorry I do not know one hope this helps please mark brainliest
Jay has spent 3/8 of his life working for his current company. If Jay has been 8 3working for his current company for 15 years, how old is he?
Answer:
40 years old
Step-by-step explanation:
If Jay has spent 3/8 of his life working for his current company and it is stated that he has been at the current company for 15 years, we can divide 15 years by 3 to find out how much a single part of the fraction (1/8) is.
15 / 3 = 5 years
5 years = 1/8
Now that we know how many years is a single part of his life we simply multiply this value by 8 to calculate how many years would equal his total life or in other words how old Jay currently is.
5 years * 8 = 40 years old
TEST QUESTION: Jane is making bows for the holidays. One bow requires 23 yard of ribbon. Jane has 13 yards of ribbon. What is the GREATEST number of projects Jane can complete with this ribbon?
Answer:
this makes no sense she can make any bows
find the values of a,b, or c for y = x^2 - 9x +18 please help!!
Answer:
It's X^1 = 3, x^2 =6
Step-by-step explanation:
1
2
3
4
5
6
9
Which expression is equivalent to 5(w+4) when w=g?
O 5(9)
O 915)
05(9)+4
O 5(9) +20
please help I will have to do 7th-grade again if I don't pass I need help
please answer the questions below so I don't fail
it is do tomorrow
Answer:
number7 9452.425 and number 4 2 hrs
Step-by-step explanation:
85+15 is 100 so to get one hundred percent you alr have 85 but you need to find 15
find what 30percent of 400 it is 120 if hes going 60 mph:
120/60 is 2
so it took him 2 hrs
There are 26 letters in the
alphabet. What is the probability
that a letter chosen at random is
not in the word ENCYCLOPEDIA?
Answer:
1/12 chance
Step-by-step explanation:
Encyclopedia
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The bold letters are the letters in the word Encyclopedia.
You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?
Answers are in standard notation
Answer: Aproxamatly 18.999999999999999
Step-by-step explanation:
Can someone please explain this to me and help me
Answer:
ok
Step-by-step explanation:
HELP PLS! It’s question 15
Answer:
A: C = 15N
Step-by-step explanation:
30/2 = 15 (the cost of 1 class)
Complete the conversion. Enter your answer in the box
8 pt =
С
Hi! Can someone please help me with these two questions??!! Thank you so much!
Answer:
it is b, 42 units² I'm sure
A concession stand sells hamburgers. The revenue from the hamburgers is (30x + 45) dollars. The price of a hamburger is $5. Write an expression that represents the number of hamburgers sold.
Answer:
5(6x+9)
Step-by-step explanation:
(30x+45)
30=(5)6x
45=(5)9
5(6x+9)
The sixth-grade chorus has a boy-to-girl ratio of 3:8. Which of the following ratios is equivalent to this ratio?
help plzzz due in 15 min i have moe questions left
What are the answers? Also, an equivalent ratio would be multiplying/dividing both the 3 and the 8 by the same number
pls help will give brianlist
Answer:
Not equivalent
Step-by-step explanation:
5:3
15:12 simplified = 5:4
Answer:
They6 are. Not equivalent because you always have to multiply/ divide the ratios by the same number thats on the top and the bottom.
Step-by-step explanation:
Which choice could be used in proving that the given triangles are similar?
Answer: . To prove triangles are similar, you need to prove two pairs of corresponding angles are congruent
Step-by-step explanation:
SSS similarity postulate
The SSS similarity postulate says that if the lengths of the corresponding sides of two triangles are proportional then the triangles must be similar.
In the given figure , we have two triangles ΔABC and ΔXYZ such that the corresponding sides of both the triangles are proportional.
i.e.
Then by SSS-similarity criteria , we have
ΔABC ≈ ΔXYZ
BRAINLIEST PLEASE????
Answer: the answer is A
Step-by-step explanation: I just took it on usa test prep
Solve for w. You must write your answer in fully simplified form.
19 = -8w
Answer:
The answer is 11