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).
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4. Solve this problem:
3(6 - 8)2 + 8+2
8
16
28
PLEASE HELP FAST!!
BRAINLY!!
Answer:
The answer is 16 because
Step-by-step explanation:
3(6 - 8)² + 8÷2 = 3(-2)² + 8÷2
= 3 * 4 + 8÷2
= 3 * 4 + 4
= 12 + 4
= 16
please help me out if you can
Answer:
A that's 250
Step-by-step explanation:
30\100x 12
Anyone know how to do this?
Answer:
It would be 10
Step-by-step explanation:
Its 10 because 12 is to long and the fact that 10 is a few inches shorter it looks correct :D
Answer:
A) 12
Step-by-step explanation:
Yes you have to do a² + b² = c²
So the bottom triangle is 3 and 4 so plug in.
4² + 3² = c² (simplify)
16 + 9 = c²
25 = c² (square root both sides)
5 = c
That gives us the vertical side of the second triangle.
So plug in again
5² + b² = 13² (simplify)
25 + b² = 169 (subtract 25 on both sides)
b² = 144 (square root both sides)
b = 12
x = 12
Hope this helps ya!!
Which expression is equivalent to 6n - 24?*
8n - 10+14
3/4 (8n - 32)
-2(-3n - 12)
O 10n - 12 - (4n - 12)
Answer:
-2(-3n - 12)
Step-by-step explanation:
3. If Ted is making monthly payments of $77 on a loan of $4,000 for 5 years;
approximately what percent interest is he paying?
$
The percent of interest is he paying is,
⇒ R = 4.62%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.
Hence, Yearly payments to pay is,
⇒ 12 × 77
⇒ $924
Hence, We get;
⇒ Interest = PRT/ 100
⇒ 924 = 4000 × R × 5 / 100
⇒ 92400 / 20,000 = R
⇒ R = 4.62%
Thus, The percent of interest is he paying is,
⇒ R = 4.62%
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A small band performed at a local church they estimated 50 people would attend but 80 people showed up to watch them play what is the percent error of the number of people who attended the event.
Answer:
im giving away 400 points ok so dont get mad at me
Step-by-step explanation:
Find the domain and range of the relation of 6,5, -13, 1, -4,2, -5, 23, -10, -5
Answer:
[tex]Range = \{5,1,2,23,-5\}[/tex]
[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]
Step-by-step explanation:
Given
[tex](6,5)\ (-13, 1)\ (-4,2)\ (-5, 23)\ (-10, -5)[/tex]
Required
Determine the domain and range
A relation has the following format:
[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)........(x_n,y_n)\}[/tex]
The range of the relation are:
[tex]\{y_1,y_2,y_3,y_4........y_n\}[/tex]
While the domain are:
[tex]\{x_1,x_2,x_3,x_4........x_n\}[/tex]
Using this analysis, the domain of the relation is:
[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]
and the Range is
[tex]Range = \{5,1,2,23,-5\}[/tex]
Answer all these questions, please I will give brainlist:)
Answer:
hERE BRUDDA
Step-by-step explanation:
Need help will give brainleist
Answer:
41º
Step-by-step explanation:
Because of parallel lines, (2x-5)º=180º-113º, so (2x-5)º=67º.
(2x-5)º=67º2x-5=67º2xº=72ºx=36ºThe angle that says (2x)º will be (2[36])º=72º.
So the other angle will be 180-67-72=41º as the sum of a triangle's interior angles is 180º.
Answer:
41°
Step-by-step explanation:
The angle below (2x-5) is also 113° (which i hope you know why)
Then to find (2x-5)° you would subtract 180 - 113 to get the angle because both those angles would add up to 180° because it is a straight angle which gives you 67°
Then you need to find x by solving the equation 2x - 5 = 67 which would give you x = 36, so you would multiply that by 2 for the angle on the side which would be 72°
Then bc the angles on the inside of the triangle all add up to 180° as well, you would add 72 + 67 = 139, then do 180 - 139 giving you d° as 41°
Identify the slope from the table
NEED HELP PLEASE thank you sb
Answer:
-4
Step-by-step explanation:
‘X’ adds by one while ‘y’ adds by -4
If there are 2.54 centimeters in an inch and 12 inches in a foot, how many centimeters in 3 feet
Answer:
91.44
Step-by-step explanation:
Answer:
3 ft = 91.44 cm
Step-by-step explanation:
We want to convert 3 ft to cm.
So we need a conversion factor.
Multiplying 3 ft by (12 in / 1 ft results in 36 in (this is equivalent to 3 ft).
Next, we convert 36 in to cm:
36 in 2.54 cm
-------- * ------------- = 91.44 cm
1 1 in
PLZ ANSWERE QUICKLY
Transition because it mirrored but not exactly
On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).
Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?
(4, 2)
(2, 4)
(–4, –2)
(–2, –4)
In the diagram, the length of segment QV is 15 units.
Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1.
What is the length of segment TQ?
4 units
11 units
14 units
15 units
5⋅7⋅4=5⋅4⋅7
is that
associative property of multiplication or is it
commutative property of multiplication
Answer:
Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140
HOPE THIS HELPS TOUCH THANK FOR ME PLEASEThe amount of gasoline at a gas station change from 58432.4 gallons to 56495.2 gallons from 2 o'clock p.m. to 4 o'clock p.m. what rational number represents the average change in amount of gasoline per hour
Answer:
thanks 4 the points
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
3.4+12a divided by 4 for a = 10
Answer:
the answer to your question is 33.4
A parachutist’s rate during a free fall reaches 216 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.
Answer:
216.00 = 134.22
Step-by-step explanation:
216.1 =134.22
A car travels 30 1/5 miles in 2/3 of an hour. What is the average speed of the cat in mph?
Answer:
45.3 miles/h
let 'x' be the speed of the car. Hope this will helps:)
Step-by-step explanation:
the picture is below
Answer:
C
Step-by-step explanation:
If the height of a falling object after a certain amount of time is given by the equation , which of the following is true?
A.) t must be greater than or equal to 16.
B.) t must be greater than or equal to 0.
C.) h must be greater than or equal to 500.
D.) h must be less than or equal to 0.
Answer:
B
Step-by-step explanation:
Time can't go backwards
Help me please please
Answer:
Step-by-step explanation:
i have no idea what to do
If the graph of the linear equation ax-8y=15 has an x-intercept at (3,0), then what is the value of a?
-Please help me
The pizzas you order for home delivery cost $19. The sales tax is 4.9%. What is the total price for the pizza?
Answer:
23.9
Step-by-step explanation:
you add the percentage to 19
Help asapppppppp pleasee
4x2
4x + 10 and 2x2 + 5x – 8.
Answer:
14x , -4+5x
I hope this helps
have a fantastic day
Please help ASAP !! I’ll give brainleist
Answer:
x=12
y=9
Step-by-step explanation:
Since the two triangles are equal, the hypotenuse of each are equal as well, meaning 2x is equal to x+12. 2 times 12 equals 24, and 12+12 also equals 24.
the shorter sides are also equal to each other, so (y+5) equals (2y-4). 9+5 equals 14, and 2 times 9 minus 4 also equals 14.
I need help with math homework
Answer:
A. (1, 2) and (4, 3)
B. Slope (m) = ⅓
C. y - 2 = ⅓(x - 1)
D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]
Step-by-step explanation:
A. Two points on the line from the graph are: (1, 2) and (4, 3)
B. The slope can be calculated using two points, (1, 2) and (4, 3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]
Slope (m) = ⅓
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).
Thus:
y - 2 = ⅓(x - 1)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 2 = ⅓(x - 1)
3(y - 2) = x - 1
3y - 6 = x - 1
3y = x - 1 + 6
3y = x + 5
[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
E. Convert the equation in (D) to standard form:
[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]
Carly has already jarred 19 liters of jam and will jar an additional 7 liters of jam every day.
How much jam did Carly jar if she spent 6 days making jam? Write and solve an equation to
find the answer.
Answer:
61
Step-by-step explanation:
7×6 = 42
42+ 19 = 61 Sorry if I'm wrong I tried
Jina's dance recital started at 4:46 PM. It ended at 6:13 PM. How long did the recital last?
Answer:
Jina's recital lasted 2 hours and 7 minutes
Hope that helped
Step-by-step explanation:
Answer:
2 hour and 7 minutes is the answer
A manager in a call center needs to determine how many agents to schedule next week.
Based on previous data, she expects to get 7,940 calls next week. The following conditions
apply:
• On average, call center agents can handle seven calls an hour.
• The call center is open for 10 hours, 5 days a week.
Full-time agents work 40 hours per week, but are only on calls for 35 hours a week.
Part-time agents work 20 hours a week, but are only on calls 17 hours per week.
Answer:
Number of calls expected in next week by manager = 7940
Average Number of calls that call center agent will attend in an hour =7 calls
It is also given that, Call center remain open for 10 hours 5 days a week.
Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week ,Part time agents work 20 hours a week but are only on calls 17 hours per week .
⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940
⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940
Option A
⇒35×15×7+17×7×15
= 3675+1785
= 5460
Option B
⇒35 ×7×20+17×7×7
=4900 +833
= 5733
Option C
⇒35×20×7 +17×20×7
=4900+2380
=7280
Option D
⇒25 × 35×7+17×7×5
=6125 +595
=6720
Option E
⇒28×35×7+17×7×10
=6860+1190
=8050
Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.
