Answers
════════ ∘◦❁◦∘ ════════
Answer• Line A = 4
• Line B = (-2)
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Formula of the gradient[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
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Known that•Line A
x1 = 0
y1 = -6
x2 =5
y2 = 14
• Line B
x1 = 7
y1 = -6
x2 = -3
y2 = 14
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Way to find gradient•Line A
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{14 - ( - 6)}{5 - 0} = \frac{20}{5} = 4[/tex]
•Line B
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{14 - ( - 6)}{( - 3) - 7} = \frac{20}{ - 10} = ( - 2)[/tex]
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For moderators that see this#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long and take a lot of my time, how can you just instanly delete this? :(
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Related Questions
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin. Why is the image similar to the pre-image? Check all that apply
1. The corresponding sides of the triangles are congruent
2. The corresponding angles of the triangles are congruent
3. The corresponding sides of the image are 5 times as long as those of the pre-image
4. The image is a reduction of the pre-image
5. Neither the dilation nor the rotation change the shape of the triangle
6. The rotation reduces the size of the triangle
Please hurry, thank you!
Answers
Answer
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Options 2, 4 and 5 are the correct answer.
Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides.
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles.
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position.
Therefore, options 2, 4 and 5 are the correct answer.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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8. Find the slope of the line that contains the
following points:
b. (6, -2) and (-3, 1).
Answers
Answer:
slope = [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
1) Find the slope with the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] (in which [tex]m[/tex] represents the slope). The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:
[tex]m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }[/tex]
Thus, the slope is [tex]-\frac{1}{3}[/tex].
Can someone please explain how to simplify expressions that have negative and positive exponents
Answers
Answer:
see below, I hope it's helpful
Step-by-step explanation:
Simplifying expressions...
1. use as many steps as you need, don't take shortcuts or try to do too much in one step... only touch each item in the expression once at most at each step
2. Follow PEMDAS
3. consider some of the rules of exponents: (a/b)^n = (a^n)/(b^n) and (x)^(-n) = 1/(x^n) and a^(b^c) = a^(bc)
examples x^(-4) = 1/(x^4)
3^(-x) = 1/(3^x)
(2/x)^(-n) = (1/(2/x))^n = (x/2)^n
2^(-x^3) = 2^(-3x) = 1/(2^3x)
so for example
2^(-x) - (x)^(-n) + (-n)^(x^(-2)) touch each part only once, do what you can
1/(2^x) - 1/(x^n) + (-n)^(-2x) the third part needed two steps, so be it
1/(x^n) - 1/(x^n) + (1/((-n)^2x)
Help I will give brainlist and 30 points
Answers
Answer: the 3rd one is the only true one because there are 7 boys and 2 girls
If you spin the spinner 75 times how many 2s would you get?
Answers
Answer:
If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.
Step-by-step explanation:
Please answer as quickly as you can! ♥ Find two possible dimensions for a cylinder that has a volume of 64π cm³.
Answers
Answer:
Possible dimensions are [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex] and [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]
Step-by-step explanation:
Given:
Volume of a cylinder is [tex]64\pi\,\,cm^3[/tex]
To find: Dimensions of a cylinder
Solution:
Let [tex]r,h[/tex] denote height of a cylinder.
Volume of a cylinder = [tex]\pi r^2h[/tex]
Therefore,
[tex]64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h[/tex]
One possible dimension can be [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex].
Also, [tex]64=r^2h[/tex] can be written as [tex]16(2^2)=hr^2[/tex]
So, another possible dimension can be [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]
In 1992 a gigabyte cost $3000. In 2012 the gigabyte price decreased by 97%. What was the cost of a gigabyte in 2012
Answers
Find the length of the third side. If necessary, write in simplest radical form
Answers
Answer:
7
Step-by-step explanation:
a squared + b squared = c squared
plug it in to get
4 root 2 squared +b squared = 9 squared
(4 root 2)(4 root 2)=32
and 9 squared is 81
so the equation is
32+b squared = 81
subtract 32
b squared = 49
square root both sides
b=7
The length of the missing side is [tex]3\sqrt{5}[/tex]
Pythagoras theorem
The square of the hypotenuse is equal to the sum of the square of the other two sides
From the given diagram;
[tex]9^2 = (4\sqrt{2} )^2 + x^2[/tex]Get the unknown side "x"
[tex]81 = 32 + x^2\\x^2 = 81 - 36\\x^2 = 45\\x = 3\sqrt{5}[/tex]
Hence the length of the missing side is [tex]3\sqrt{5}[/tex]
Learn more on pythagoras theorem here: https://brainly.com/question/343682
Is 5/6 greater or is 9/10 greater
Answers
Answer:
9/10
Step-by-step explanation:
9/10 is equal to .9 and 5/6 is equal to .833333 and .9 is greater than .833333
Answer: 5/6
Step-by-step explanation:
because with fractions if the bottom is less than it is more than a number bigger tha it
can someone help me im stuck
Answers
Answer:
(3). 500; (4) 60
Step-by-step explanation:
stop saying yall gon help me and not help me......
but anyays can sum1 go to meh acc nd help pls ill give brainlist
Answers
Answer:
Sure thing. Which question do you need help with? ill do the best i can.
A bookshop has an offer.
"Buy one book and get one free!"
Ria gets 8 books from the shop with that offer.
The normal price of each book is £5.99.
How much does Ria spend?
Answers
Write a expression shows an expanded form of -8x^3y^2(x^2-4y)
Answers
Answer:
Step-by-step explanation:
-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y
= -8x³⁺⁵y² + 32x³y²⁺¹
= -8x⁸y² + 32x³y³
Use the square root property to solve: 5x^2+8 =133
Please help
Answers
Answer:
x = ± 5Step-by-step explanation:
See the steps
5x^2+8 = 1335x^2 = 133 - 85x^2 = 125x^2 = 125/5x^2 = 25√x² = √25x = ± 5Answer:
x=5
x=−5
Step-by-step explanation:
5x^2+8 =133
Subtract 8 from both sides.
5x^2=133−8
Subtract 8 from 133 to get 125.
5x^2=125
Divide both sides by 5.
x^2=125/5
Divide 125 by 5 to get 25.
x^2=25
Take the square root of both sides of the equation.
x=5
x=−5
Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes,and 20 pages in 30 minutes. Is this a proportional relationship? If so, what is the constant of proportionality? What does it represent? Write an equation to represent this situation.
Answers
Answer:
y = 2/3xStep-by-step explanation:
Reading rate is y pages per x minutes and proportional relationship formula is:
y = kxThe coefficient is:
k = y/xLet's verify if the given numbers fit into the same relationship:
12/18 = 2/38/12 = 2/320/30 = 2/3We confirm all same and it means k = 2/3
Required equation is:
y = 2/3xThis represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages
Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2
Answers
10/5 is 2 and the exponents will cancel out.
The sequence below shows a certain company's expected net worth, in millions of dollars, after 1, 2, 3, and 4 years and so on).
14.5, 13.1, 11.7, 10.3, ...
th
Which function models the n term of this sequence, for n = 1, 2, 3, 4, ...?
A f(n) = 14.5 – 1.4(n - 1)
B f(n) = 14.5+ 1.4(n - 1)
с. f(n) = 14.5 – 1.4n
D. f(n) = 14.5+ 1.4n
Answers
Answer:
the answer is f(n)=14.5−1.4n
Step-by-step explanation:
Hope this helps
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d
The given arithmetic sequence is 14.5, 13.1, 11.7, 10.3,....
Here, a=14.5 and d=14.5-13.1=1.4
Substitute a=14.5 and d=1.4 in an=a+(n-1)d, we get
f(n)=14.5+1.4(n-1)
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/10396151.
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The graph of a linear system is shown. y oo D ONUR 1 کلو -545 -4 -3 -2 -11 1 2 3 4 5 6 7 8 9 10 What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answers
Answer:
(2,7)
Step-by-step explanation:
Let b= 7.
3b+-4
Please help
Answers
3(7)+-4
21+-4
=17
Hope this helps have a nice day! ;$
Answer:
b=40/63
Step-by-step explanation:
b= 7. 3b+-4
multiply both sides by 10
b*10=7.3b*10-4*10
refine
b*10=7.3b-40
subtract 7.3b from both sides
b*10-7.3b=7.3b-40-7.3b
simplify
-63b=-40
divide both sides by -63
-63b/-63=-40/-63
simplify
b=40/63
sorry for the lengthy explanation
hope this helps :) have a nice day !! (please let me know if this was wrong)
You want to get a job to earn at least $120 per week, but you can not work more than 18 hours a week. There is online work you can do that only pays $4 per hour, or you could help your uncle for $8 per hour as an apprentice repair mechanic. Is the below a possible solution? (Type your fill-in-the-blank answers).
Captionless Image
Answers
Answer:
hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120
Step-by-step explanation:
PLZ HELP ASAP it’s due by midnight
Answers
B) y=70 (if x and y are vertical)
C) 1 and 2
D) The measure of angle 2 is 110 because it is a supplementary angle.
help 6x+6y=-6
x=-5y-13
Answers
Answer:
what do you need help on?
Step-by-step explanation:
The given point 1, -3 reflected over the x axis
Answers
Answer:
(1,3)
Step-by-step explanation:
The image of (1, -3) is (1, 3).
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
Point = (1. -3)
Reflected over the x-axis.
So,
(1, -3) = (1, -(-3)) = (1, 3)
Thus,
(1, 3) is the reflected image.
Learn more about reflections here:
https://brainly.com/question/12463306
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3kg of apples and 8kg of grapes costs €7.60 in total 5kg of apples and 3kg of grapes costs €7.50in total work out the costs of a kg of each type of fruit
Answers
Answer:
1kg of apple : €0.50
1kgof grapes : €1.20
Step-by-step explanation:
15kg of apples and 40kg of grapes costs €38
15kg of apples and 9kg of grapes costs €22.50
38 - 22.50 = 15.5
40 - 9 = 31
15.5 ÷ 31 = 0.5 ( 1kg of grapes )
0.5 × 3 = 1.5
7.5 - 1.5 = 6
6 ÷ 5 = 1.2 ( 1kg of apples )
which graph showed exponential growth
Answers
What is the value of 0.1562 rounded to the nearest hundredth place?
Answers
Answer:
0.16
Step-by-step explanation:
a gazelle can run away from a cheetah with a speed of 35.0 m/s. if the average gazelle has a mass of 40.00 kg, what is the gazelles kinetic energy,in kilojoules?HELPPP
Answers
9514 1404 393
Answer:
24.5 kJ
Step-by-step explanation:
Kinetic energy is given by the formula ...
KE = 1/2mv² . . . . . where m = mass
The gazelle's kinetic energy is ...
KE = 1/2(40 kg)(35 m/s)² . . . . . where m is meters
= 24,500 J . . . . . . 1 J = 1 kg·m²/s²
= 24.5 kJ . . . . . . . 1000 J = 1 kJ
5692 in standard form
Answers
Answer:
5.692 × 103.
Step-by-step explanation:
Answer:
5.692 × 10^3
Step-by-step explanation:
hope it helps you
4(-2x-7) use distributive property to expand it
Answers
Answer:
-8x-28 is after the distributive prop simplified
Step-by-step explanation:
4(-2x-7)
(4×-2x)-(4×-7)= -8x-28
HELP QUICK! Can someone please explain this and show your work please!
Answers
Answer:
x > -2
Step-by-step explanation:
[tex]-\frac{x}{2} + \frac{3}{2} < \frac{5}{2} \\-\frac{x}{2} < \frac{2}{2} \\-\frac{x}{2} < 1\\-x < 2\\-\frac{x}{-1} < \frac{2}{-1} \\x > -2[/tex]
See picture of graphed number line below: