What are the coordinates of the point 3/4 of the way from A to B. I need this ASAP pls
Answers
Answer:
The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)
Step-by-step explanation:
The coordinates of the point A is (-5, -4),
The coordinates of the point B is (-3, 3)
Let the point 3/4 from A to B = P
The coordinates of the point 3/4 from A to B is found as follows;
(-5 + (3/4×(-3 - (-5)), -4 + 3/4×(3 - (-4)) which gives;
The coordinates of the point 3/4 from A to B as P(-3.5, 1.25)
We verify the length from A to B and from A to P as follows;
The distance l between two points (x₁, y₁) and (x₂, y₂) is given by the formula;
[tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For AB, we have;
[tex]Length \ of \ segment \ \overline {AB} = \sqrt{\left (3-(-4) \right )^{2}+\left ((-3)-(-5) \right )^{2}}=\sqrt{53} \approx 7.28[/tex]
[tex]Length \ of \ segment \ \overline {AP} = \sqrt{\left (1.25-(-4) \right )^{2}+\left ((-3.5)-(-5) \right )^{2}}= \dfrac{3}{4} \cdot \sqrt{53}[/tex]
Therefore, the point P (-3.5, 1.25) is the point 3/4 distance of A to B from A.
Identifying the distance and applying the fraction, it is found that the coordinates are (-3.5, 1.25).
------------
Point A has horizontal coordinate -5 and vertical coordinate -4, thus, it's coordinates are A(x,y) = A(-5,-4).Point B has horizontal coordinate -3 and vertical coordinate 3, thus, it's coordinates are B(-3,3).------------
At the x-coordinate, the distance from B to A is of [tex]-3 - (-5) = -3 + 5 = 2[/tex] units.Starting at point A, 3/4 of the way will have a x-coordinate of:[tex]x = -5 + 2\frac{3}{4} = -5 + \frac{6}{4} = -\frac{20}{4} + \frac{6}{4} = -\frac{14}{4} = -\frac{7}{2} = -3.5[/tex]
At the y-coordinate, the distance from B to A is of [tex]3 - (-4) = 3 + 4 = 7[/tex] units.Starting at point A, 3/4 of the way will have a y-coordinate of:[tex]y = -4 + 7\frac{3}{4} = -4 + \frac{21}{4} = -\frac{16}{4} + \frac{21}{4} = \frac{5}{4} = 1.25[/tex]
The coordinates are (-3.5, 1.25).
A similar problem is given at https://brainly.com/question/24647154
Related Questions
A shirt regularly priced at $36.00 was on sale for 25% off.
What was the sale price?
A. $9.00
B. $24.00
C. $27.00
D. $48.00
E. None correct
Answers
36 x .25
36 x .25 = 9.00
36 - 9.00
36 - 9.00 = $27
C. $27.00
40 + (12) (27) + 18=
Answers
Answer:
Hey there!
40+12(27)+18
40+324+18
364+18
382
Let me know if this helps :)
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{382}}}}[/tex]Step-by-step explanation:
[tex] \sf{40 + (12)(27) + 18}[/tex]
Multiply the numbers : 12 and 27
⇒[tex] \sf{40 + 324 + 18}[/tex]
Add the numbers : 40 , 324 and 18
⇒[tex] \sf{382}[/tex]
Hope I helped!
Best regards!!
Which image shows a reflection?
Answers
Answer:
A
Step-by-step explanation:
We can see that:
- Shape B has just been translated down (moving down a couple of squares)
- Shape C has been rotated 90° clockwise
Reasons: B is just a translation, just moved down a few spots. And C has been moved 90 degrees clockwise.
65) Driving time: A family is planning to drive 549 miles from their home in Lincoln, Nebraska, to Mount
Rushmore National Park. They plan to drive at an average speed of 61 miles per hour. How much time will they
spend driving?
Answers
549 Divided By 61 Is The Number Of Hours
Simplify the expression. Write your answer as a power.
(-1/2)^3 x (-1/2)^6
What is the expression?
Answers
Answer:
The answer is
[tex]( { - \frac{1}{2} })^{9} [/tex]Step-by-step explanation:
[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} [/tex]Use the rules of indices
Since they have the same base and are multiplying we add the exponents
That's
[tex] {a}^{x} \times {a}^{y} = {a}^{x + y} [/tex]So we have
[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} = ({ - \frac{1}{2} })^{6 + 3} [/tex]We have the final answer as
[tex]( { - \frac{1}{2} })^{9} [/tex]Hope this helps you
A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular area. The area that is inside the circle, but outside the gazebo, requires mulch. This area is represented by the function m(x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay $1.50 per square foot of mulch. This cost is represented by the function g(m), where m is the area requiring mulch.
Answers
Answer:
The equation of cost of mulch is [tex]1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex].
Step-by-step explanation:
The equations m (x) and g (m) are as follows:
[tex]m(x)=\pi x^{2}-2\sqrt{2}x^{2}\\g(m)=1.50m[/tex]
It is provided that the cost of mulch requires is represented by the function g(m), where m is the area requiring mulch.
To compute the equation of cost of mulch based on the radius of the circle substitute the value of m (x) in g (m).
The equation of cost of mulch is:
[tex]g(m) = 1.50m[/tex]
[tex]=1.50\times m(x)\\\\=1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex]
Thus, the equation of cost of mulch is [tex]1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex].
Answer:
the answer is A
Step-by-step explanation:
edge
Find the area of the triangle.
16 in.
25 in.
Answers
Answer:
The area of the triangle with the given measurements is 200 in²
Step-by-step explanation:
For this problem, we will need to know the formula for finding the area of a triangle.
A = 1/2(bh)
Now, let's plug in these numbers so we can find the area.
A = 1/2(bh)
A = 1/2(16*25)
A = 1/2(400)
A = 200 in.²
The regular price for a T-shirt is $25 and the regular price for a pair of jeans is $75. If the T-shirt is sold at a 30% discount and the jeans are sold at a 10% discount, then
the total discount is
Answers
Answer:
$7.50
Step-by-step explanation:
Discount for t-shirt:
30/100 × $25 = 30/4 × 1
= 30/4
= $7.50
Discount for a pair of jeans:
10/100 × $75 = 10/4 × 3
= 30/4
= $7.50
Total discount:
= $7.50 + $7.50
= $15
Answer:
$7.50
Step-by-step explanation:
Discount for t-shirt:
30/100 × $25 = 30/4 × 1
= 30/4
= $7.50
Discount for a pair of jeans:
10/100 × $75 = 10/4 × 3
= 30/4
= $7.50
Total discount:
= $7.50 + $7.50
= $15
8 - 3(k + 2) = 2-3k
Answers
Answer:
Any value of k makes the equation true.
All real numbers
Interval Notation:
( − ∞ , ∞ )
What is 50 percent of 62? 0.31 3.1 31 310
Answers
Answer:
[tex]\Huge \boxed{\mathrm{31}}[/tex]
Step-by-step explanation:
50 percent of 62 is also one half of 62.
62 × [tex]\frac{1}{2}[/tex] = 31
Answer:
50 is 31% of 62.
Step-by-step explanation:
To solve this, we need to set up our problem like this, since percentages are written with %, and add up to 100%.
[tex]\frac{62}{x} =\frac{100}{50}[/tex]
Next, we flip the denominators with the numerators so that the x ends up on the top.
[tex]\frac{x}{62}=\frac{50}{100}[/tex]
Finally, we can see that 50/100 is 1/2, so to solve x/62, we have to divide 62 by 2 to get our answer.
62 ÷ 2 = 31
Our answer is 31%.
What is 5/8 of $44.83? Round to the nearest cent (hundredth).
Answers
Answer:
$28.02
Step-by-step explanation:
5/8 of 44.83
0.625 • 44.83 = 28.01875
≈ 28.02
Answer:
$28.02
Step-by-step explanation:
5/8 of $44.83
(5 * 44.83) / 8
$28.02
what is a theory in science
Answers
A scientific theory is a validated explanation of some aspect of the natural world, based on multiple facts that have been frequently verified through research and experimentation. Fact theories are not "guesses" but reliable accounts of the real world.
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
Answers
Answer:
-21 F
Step-by-step explanation:
it already was -14
then dropped 7
so it becomes
-14 - 7 = -12 f
Rain began failling at 2:18 . It rained for 1 hour and 36 minutes
Answers
Answer:
It stopped raining at 3:54
Step-by-step explanation:
1. Name the vertex of the angle
2. Name the sides of the angle.
3. Give three ways to name the angle.
4. Classify the angle.
Answers
Answer:
see explanation
Step-by-step explanation:
1. The angle is RST
2. The sides of the angle are SR and ST
3. The angle can be named as ∠ RST, ∠ TSR, ∠ S
Note in the 3 letter angle name the vertex of the angle is in the middle
4 The square at S indicates the angle is right, that is 90°
does anyone know how to substitute -2 into this equation -2x + ( 12 - 9 ) = 2 + 9 + -2x
if you do please help
Answers
Answer:
-2(-2) + (12-9) = 2 + 9 + -2(-2)
Step-by-step explanation:
What point would you have when (-7, 3) is reflected over the line y=x?
A. (3,-7)
B. (-3,7)
C. (7,-3)
D. (-7,3)
Answers
The line y=x looks like a even, diagonal line going through (0, 0) on a graph. If you have (-7,3) , your in the first quadrant (in the upper left square of the graph). If you reflect it diagonally, the digits themselves would remain that same, but the value would flip (if it’s positive, it’ll become negative, if it’s negative, it’ll become positive). So if we do that with (-7, 3), it becomes (7, -3).
Solution: (7, -3)
The point would you have when (-7, 3) is reflected over the line y=x is (7, -3).
The line y=x looks like an even, the diagonal line going through (0, 0) on a graph.
If you have (-7,3), you are in the first quadrant (in the upper left square of the graph).
What is the reflection?Reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns to the medium from which it originated.
If you reflect it diagonally, the digits themselves would remain that same, but the value would flip (if it’s positive, it’ll become negative, if it’s negative, it’ll become positive).
So if we do that with (-7, 3), it becomes (7, -3).
The point would you have when (-7, 3) is reflected over the line y=x is (7, -3).
To learn more about the reflection visit:
https://brainly.com/question/1908648
#SPJ2
Please help with the question below
Answers
2.5=25% is it true or false
Answers
explanation;
Answer:
[tex]\huge \boxed{\mathrm{false}}[/tex]
Step-by-step explanation:
25% is 25 out of 100.
[tex]\displaystyle \frac{25}{100} = 0.25[/tex]
[tex]2.5\neq 0.25[/tex]
The statement is false.
function f(x) = 4x - 6 with a domain of (-3,5), identify the range
Answers
Answer:
(-18,5)
Step-by-step explanation:
What is the fractional equivalent of the repeating decimal 0.6 ?
Answers
Answer:
2/3
Step-by-step explanation:
We know that 0.6 is part of the 1/3 family.
1/3 would be equal to 0.333...
2/3 would be equal to 0.666...
3/3 would equal to 1
Alternatively, we know that anything out of 9 or 99 would be a repeating decimal. Simply take 6 and divide it by 9:
6/9 = 0.666
We can then simplify the fraction by dividing both top-bottom by 3:
6/9 = 2/3
Which equations have one solution
Answers
Answer: C and F
Step-by-step explanation:
Remember that for two equations to have the same solutions they need to have the different slopes and different y intercepts or they could have the same y-intercepts but different slopes.
First we will simply each of the equations
A. [tex]\frac{1}{3} x + 3 = 26 + \frac{6}{18}x - 23[/tex] reduces to .[tex]\frac{1}{3}x + 3 = \frac{1}{3} x + 3[/tex] Since this have the same slopes and same y-intercept they have infinitely many solutions
B. x +3 + 3x = -3 +4x +6 reduces to 4x + 3 = 4x +3 This also have the same slopes and same y-intercepts which means it also have infinitely many solutions.
C. 2(1/5 + 1/4x) -2x = x -1 reduces to -3/2x +2/5 = x -1 This have different slopes and different y intercepts so they have One solution.
D . 4.3x + 2.5 -2.2x + 2.2 -2.1x = 0 reduces to 4.7 = 0 which means that this equation have no solution because 4.7 does not equal 0.
E. 2(4x +3) + 2x= 5(2x + 3) reduces to 10x + 6 = 10x + 15 which means this also have No solution because they have the same slopes but different y-intercepts.
F. 2/5x + 10 + 3/5x = 2x + 5 reduces to 1x + 10 = 2x + 5 This also have 1 solution because they have different slopes and different y intercepts.
Twelve relatives always give gifts to one another. They have been doing it for eight years. How many exchanges have happened so far?
Answers
Answer:
1,056 gifts
Step-by-step explanation:
If twelve relatives give gifts to one another
This means each of the twelve relatives gets gifts from the other 11 relatives
=12 relatives * 11 gifts
= 132 gifts per year
They have been doing it for 8 years
Total gifts exchanged for 8 years= 132 gifts × 8 years
=1,056 gifts
Therefore, number of gifts exchanged for 8 years among 12 relatives is 1,056 gifts
In the figure below,m /_ 1=58º. Find m/_2
Answers
Answer:
32°
Step-by-step explanation:
What we have to notice here is that m∠1 and m∠2 are complementary angles. This means that their angles add up to 90°.
Since we know the measure of m∠1, we can easily find the measure of m∠2 since both add up to 90.
m∠1 is 58, so:
[tex]58 + x = 90[/tex]
[tex]x = 90-58\\\\x=32[/tex]
Hope this helped!
The relation shown in the graph is a function. True or false
Answers
Answer:
True. Brainlyest plz
please help me on this i’ll mark u the brainliest
Answers
Step by step:
3 angles in a triangle add up = 180 degrees
180 - 63 - 99 = 18
so a = 18 degrees
Hope this helps!
Karen Sullivan delivers newspapers for the Tribune dispatch. She receives 18.2 cents per paper, six days a week (for the daily paper), and $.70 for the Sunday paper. She delivers 124 daily papers each day and 151 Sunday papers each week what is your total pay.
Answers
Answer:
About $241.11
Step-by-step explanation:
So, Karen receives 18.2 cents per paper.
She delivers 124 paper per day.
In other words, on days other than Sunday, she will make a total of:
[tex]18.2(124)=2256.8\text{ cents}[/tex]
On Sunday, each paper is sold for $0.70 or 70 cents. She also sells 151 Sunday papers. Thus, on a Sunday, she will make a total of:
[tex]70(151)=10570\text{ cents}[/tex]
Therefore, in one week, she will do the first equation six times and the Sunday equation once. Thus, her total pay will be:
[tex]6(2256.8)+10570=24110.8\text{ cents}\approx\$241.11[/tex]
What does N equals in the following equation? N +6+9=32 multiple choice answers are ? A.) 10 B) 20 C) 30
Answers
Answer
[tex] \boxed{ \boxed{ \bold{ \purple{N = 17}}}}[/tex]
Step by step explanation
[tex] \sf{N + 6 + 9 = 32}[/tex]
Add the numbers
⇒[tex] \sf{N + 15 = 32}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{N = 32 - 15}[/tex]
Calculate the difference
⇒[tex] \sf{N = 17}[/tex]
Hope I helped!
Best regards!!
N = ?
N = - 6 - 9 + 32
N = - 15 + 32
N = 17 ✔️
Follow the steps to solve for the variable in this two-step equation: 5x – 10 = 0
Answers
-10 is added to 0 making is 5x=10
Divide 5 on both sides making is x=2
Write the quotient as a mixed number.
94 divided by 7 = 13 R3
Answers
Answer:
13 3/7
Step-by-step explanation:
94÷7=13 r3
13 and 3 over 7