The endpoint coordinates of AB are A(2, -10) & B(12, 5). Find the coordinates of the point that is 2/5 from A to B.
Answers
Step-by-step explanation:
Find the distance between points A and B by the formula:[tex]\large \boldsymbol {\sf D=\sqrt{(x_1-x_2)^2+(y_1+y_2)^2} }[/tex] [tex]\large \boldsymbol{} \sf D=\sqrt{(2-12)^2+(-10-5)^2} =\sqrt{100+225} =\boldsymbol {\sqrt{325}=5\sqrt{13} }[/tex] By the condition we are told to find 2/5 the distance between points A and B [tex]\sf \large \boldsymbol {} \dfrac{2}{5} \cdot D=5\sqrt{13} \cdot \dfrac{2}{5} =\boxed{\sf 2\sqrt{13}}[/tex] We can also find the distance between them through the Pythagorean theorem we will complete a right triangle AB²=AC²+BC² AB=√AC²+BC² Where AC=10 ; BC=15 AB=[tex]\boldsymbol {\sf \sqrt{15^2+10^2}=\sqrt{325}=5\sqrt{13} }[/tex] Then 2/5* AB=2[tex]\sqrt{13}[/tex]
Related Questions
A polygon is translated and then stretched vertically. Which statement is correct?
A.
Neither the translation nor the vertical stretch preserves side lengths and angles of the preimage.
B.
The translation does not preserve side lengths and angles, but the vertical stretch preserves side lengths and angles of the preimage.
C.
Both the translation and the vertical stretch preserve side lengths and angles of the preimage.
D.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
Answers
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage is correct statement.
What is translation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
A transformation allows something(shape) to moves, flip, or changes a shape (called the preimage) to create a new shape.
The length or angle of the image is not changed by translation but stretching will change the angle of image.
By transformation rules A,B C are false.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage. is correct statement.
Hence, The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
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Step-by-step explanation:
Evaluate 5 + {2[(48 – 40) ÷ 4 + (2 x 5)]}
29
28
45
19
Answers
Answer:
29
Step-by-step explanation: 5 + 2 [(48 - 40)/4+(2 x 5)]
PLEASE ANSWER 9 AMD 10 I BEG YOU YOU DONT NO HOW MUCH IT WOULD HELP
Answers
9a: 1/5. She takes a 1/5 and puts it in each so your fraction is 1/5
9b: $105. 525 / 5 = 105
10: Option 1. He gains more money this way.
In option 1 if he gets his allowence for 4 weeks, he would make $15 (1+2+4+8).
But in option 2 he would only make $4 because the square of 1 is 1 (1+1+1+1)
Hope that helps and hope I did that correctly
Total amount = $525
Split by a fraction, divide by 5 and then again divide by 5:
525*1/5*1/5 = 525*1/25 = 21a) The fraction = 1/25b) The amount = $21#10Option 1 results in sequence:
1, 1*2=2, 2*2=4, 4*2=8, etcOption 2 results in sequence:
1, 1² = 1, 1² = 1, 1² = 1, etc.It's obvious that option 1 is a better choice.
Write the equation of the line in slope intercept form.
(-8,10); m=1/2
Answers
Answer:
y = (1/2)x + 14
Step-by-step explanation:
y = (1/2)x + 14
After a 80% reduction, you purchase a new washing on sale for $104. What was the original price of the clothes dryer?
Answers
Answer:
$520 dollars
Step-by-step explanation:
104÷2 = 52 × 10 = 520
What are the combining like terms ?? Plz
Answers
Answer:
-9-7+5n
Step-by-step explanation:
Answer:
-16+5n
Step-by-step explanation:
combine -9 minus 7 which is -16 and 8n - 3n which is 5n
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70 cm, find its length and width.
Answers
Answer:
Length = 30
Width = 5
Step-by-step explanation:
So the formula for perimeter is
P = 2L+2W
And we know that:
L = 6W
So then we put in all the information that we do know
70 = 2(6W)+2W
And pop that into a calculator and you get W=5
So now we put that information into L = 6W to get:
L = 6×5
L = 30
In a Physics lesson, Chantelle adds weights to a spring and carefully measures the extension. She finds that the weight, y g is related to the extension, x cm by the formula y = 0.5x + 1 for 0 ≤ x ≤ 20. a Draw the graph of y against x for 0 ≤ x ≤ 20. b Use this graph to find the (i) weight for a 17 cm extension (ii) extension produced by a 5 g weight. c What would Chantelle's formula predict for the springs extension for a 1 kg weight? Comment on your answer
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what is the product please
-1/6 x 7 x 2/5
Answers
The correct answer is: " [tex]- \frac{7}{15}[/tex] " ; or, write as: " [tex]\frac{-7}{15}[/tex] " .
________________________________________
Step-by-step explanation:
→ -1/6 * 7 * 2/5 ; [tex]\frac{-7}{15}[/tex]
= " [tex]\frac{-1}{6} *\frac{7}{1} *\frac{2}{5} = \frac{(-1*7*2)}{(6*1*5)} = \frac{-14}{30}[/tex] " ;
Now, simplify the value: " [tex]\frac{-14}{30}[/tex] " ;
_______
→ " [tex]\frac{-14}{30} = \frac{(-14/2)}{(30/2)} = - \frac{7}{15}[/tex] " ;
_______
The correct answer is: " [tex]- \frac{7}{15}[/tex] " ; or, write as: " [tex]\frac{-7}{15}[/tex] " .
_______
Hope this is helpful to you!
Wishing you well !
_______
graph the linear function. j(x)=-1/3x+5
Answers
Answer:
Here ya go!
Step-by-step explanation:
Pls Answer 15 Points
Answers
Answer:
edchnailedhaefihw
Step-by-step explanation:
ueswufia72826382q 8r20224
Solve please....................................
Answers
Answer:
angle (3x-15)°=angle (2x+10)° (by vertically opposite angles)
3x-15=2x+10
3x-2x=10+15
x=25
by putting the value of x.
3x-15=3×25-15 = 60°
38°+ 60°+ <ebf= 180° (by sum of all sides is 180° )
98°+<ebf = 180°
<ebf = 180° - 98°
<ebf = 82°
For every pound a company spends an advertising it spends 26p on its website express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form
Answers
Answer:
£1 = 100p
100:26
÷2
=50:13 thats the answer
here is a graph of a polynomial function with degree 4 what statements are true about the function?
Answers
It has 4 linear factors (the graph crosses the x-axis at 4 places)
One of the zeroes is x=2 (the graph crosses the x-axis at x=2)
The statements that are true about the functions are:
The leading coefficient is positive.
It has two relative maximums
It has four linear factors.
One of the zeroes is x = 2.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
From the graph,
The graph passes through the following points on the graph.
x = -4
x = -2
x = 2
x = 6
This means the polynomial function is:
P(x) = (x + 4)(x + 2)(x - 2)(x - 6)
If we simplify the polynomial we get,
P(x) = (x² + 2x + 4x + 8) (x² + 6x - 2x + 12)
P(x) = [tex]x^{4}[/tex] + 6x³ - 2x³ + 12x² + 2x³ + 12x² - 4x² + 24x + 4x³ + 24x² - 8x² + 48x + 8x² + 48x - 16x + 96
P(x) =[tex]x^{4}[/tex] + 10x³ + 44x² + 104x + 96
The leading coefficient is positive 1 so it is positive.
The constant term is a positive number (96).
The relative maximum is a point on the graph where the function changes from increasing to decreasing.
So,
From the graph, there is only one point.
So only one relative maximum.
The relative minimum is a point on the graph where the function changes from decreasing to increasing.
So,
From the graph, there are two relative maximums.
The function has four linear factors
(x + 4), (x + 2), (x - 2), and (x - 6).
x = -4, x = -2, x = 2, and x = 6
Thus,
The statements that are true about the functions are:
The leading coefficient is positive.
It has two relative maximums
It has four linear factors.
One of the zeroes is x = 2.
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GCF of 28, 48, and 64
Answers
Answer:
14
Step-by-step explanation:
how would you write 9x(4+9)= in distributive proparty?
Answers
Answer:
117
Step-by-step explanation:
not sure if the x after the 9 was a variable of the letter x or multiplication i put it as multiplication.
3/5 × 7 1/2 ÷ 2 7/10
Answers
Answer:
simplify??
Step-by-step explanation:
Exact form:5/3
Decimal form:1.6
Mixed number form:1 2/3
This question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the resaurant floor. What are its dimensions?
Answers
I am positive 18m is the correct answer, sorry if I am wrong. Make sure to check before submitting
The required dimensions of the restaurant is 18 by 18 meters.
Given that,
This question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the restaurant floor. dimensions are to be evaluated.
Surface area is defined as the collective region, whose mathematical expression can be formed.
here,
Let the sides of the square restaurant be a,
The area of the restaurant = area of the square
324 = a²
a = √324
a = 18 meters,
Thus, the required dimensions of the restaurant are 18 by 18 meters.
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6.5 is a good approximation for 30
Answers
Answer:
I'm confused what is the question here?
Step-by-step explanation:
YALL PLEASE HELP
NO ONE IS ANSWERING THIS DANG QUESTION -n-
Answers
The answer to this question is 0.16666666666
find the scale factors for the dilation of the small quadrilateral to the large
a. 2
b. 5
c. 4
d.3
Answers
8. 8(x) = 2x² + 10x; 8(-4)
Answers
Answer:
x = {5.701562119, -0.701562119}
what is 6+6 i need the answer fast
Answers
Answer:
Step-by-step explanation:
12
What is the value of 7r + 6(r + 2s) when r = 4 and s = 2?
Answers
Answer:
76
Step-by-step explanation:
7(4)+6(4+2(2)
28+6(8)
28+48 it gives 76
2tanx - 3cotx + 1 = 0
Answers
Answer:
hope its helpful
have a great day
Multiply the following and provide the product in standard from thank you
Answers
Answer:
x^3 + 4x^2 - 7x - 10
Step-by-step explanation:
To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.
Solve for the value of v.
(56+6)
(40+3)
Answers
Answer:
2666 if you multiply the sum of the parenthesis
but if you add them then the answer is 105
Step-by-step explanation:
56+6=62
40+3=43
62•43= 2666
Brian painted 2/3 of a fence in 3/4 of a day. How long will it take him to paint the entire fence?
Answers
Answer:
9/8 days
Step-by-step explanation:
If it takes him 3/4 of a day to paint 2/3 of a fence, it would take him 9/8 days to paint the whole fence ((3/4)/(2/3)).
You can think of it like this:
It would take 3/8 of a day to paint 1/3 of a fence. So to find how long it takes to paint the whole fence, multiply 3/8 by 3.
Write the equation of a line that is perpendicular to y = 3x - 2 and goes through the point (0,5)
Answers
Answer:
y = -1/3x + 5
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. This means that if you multiply the slopes of both linear equations, the product will be -1.
Given the linear equation, y = 3x - 2, and the point (0, 5):
The negative reciprocal of the slope (m) = 3 is -1/3. Hence, we can assume that the slope of the other line must be -1/3.
Next, using the slope of the other line (m = -1/3) and the given point, (0, 5), we'll substitute these values into the slope-intercept form, y = mx + b, to solve for the y-intercept (b):
y = mx + b
5 = -1/3(0) + b
5 = 0 + b
5 = b
The y-intercept (b) of the other line is 5.
Therefore, the linear equation of the line perpendicular to y = 3x - 2 is:
y = -1/3x + 5
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Russ has a car that averages 9.8 miles per gallon. Mike's car averages 39.2 miles per gallon. How many times more miles per gallon does Mike's car average than Russ's car
Answers
Answer:
3580.267
Step-by-step explanation:
that's all I have for u
Answer:
4
Step-by-step explanation:
39.2 - 9.8
Use standard algorithm...
Your result will be
29.4
Next, do 29.4 ÷ 9.8.
You will get 3
Add one more and get 4 for your answer.
-kiniwih426