Answer:
1/6
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1)/(x2-x1)
= (6-3)/(12 - -6)
= (6-3)/(12+6)
= 3/18
=1/6
Work out the area of the shape after it has been enlarged by scale factor 2.
State the units of your answer
Answer:
The area of the now-enlarged shape quadruples. The units are the same; square units.
Step-by-step explanation:
The diagram of the structure isn't provided. But, we can work on a generalized principle for enlargement or reduction.
When a shape is enlarged by a scale factor of 2, it means all of its lengths are increased according to that scale facfor (doubled).
Whatever the shape of the figure was, by enlarging it by a scale factor of 2, all of its dimensions become doubled, and as area is a product of dimensions, two dimensions to be precise, the Area of the object increases by a scale of 4.
For example, if the shape was a rectangle.
A = L × B
When enlarged, new L = 2L, new B = 2B
new Area = new L × new B = 2L × 2B = 4LB = 4 × old area.
A circle
A = πr²
When enlarged, new R = 2r
new Area = π(new R)² = π(2r)² = 4πr² = 4 × old area.
Whatever the original shape was, when it is enlarged by a scale factor of 2, the Area if the new enlarged shape is quadruple of the Area of the old shape.
Hope this Helps!!!
25 POINTS!!!!! add. express your answer as a fraction. Do not include spaces in your answer 5 1/4+ 15.5
Answer:
The answer is 83/4
Step-by-step explanation:
5 1/4+15.5
21/4+15.5
Taking LCM
21/4+15.5*4/1*4
21/4+62/4
83/4
Answer:
[tex]20\frac{3}{4}[/tex]
Step-by-step explanation:
=> [tex]5\frac{1}{4} + 15\frac{1}{2}[/tex]
=> [tex]\frac{21}{4}+ \frac{31}{2}[/tex]
=> [tex]\frac{21+62}{4}[/tex]
=> [tex]\frac{83}{4}[/tex]
=> [tex]20\frac{3}{4}[/tex]
I. Work out the following Questions clearly and neatly
1 In a trapezium ABCD, where AB=10cm, AD=13cm, BC=15cm and the
altitude is 12cm, then find
the length of CD
b. the perimeter of the trapezium
the area of the trapezium
2. In a rectangular prism where length, width and height respectively
are 7cm, 5cm and 10cm. Then calculate the following
a perimeter of the upper base.
b. the sum of the perimeters of the bases.
c. the area of the lower base.
d. the sum of the areas of the bases.
e. the area of one of the larger lateral faces.
f. the area of one of the smaller lateral faces.
g. the areas of the lateral faces(AL).
h. the total surface areas of the prism(AT).
i. the volume of the prism.
If a regular polygon has ten sides, then find
number of diagonals formed from one vertex.
b. number of triangles formed.
C. number of diagonals formed from each vertex.
d. sum of all interior angles.
e. what is the name of the polygon.
Answer:
the rent and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school
Model the situation with the sum of polynomials. Then simplify the sum.
4. The width of a rectangle is represented by 4x, and its length is
represented by (3x + 2). Write a polynomial for the perimeter of the
rectangle
3x + 2
4x
O
Answer:
[tex]perimeter= 14\,x\,+ \,4[/tex]
Step-by-step explanation:
Recall the formula for the perimeter rectangle (the addition of all rectangle\s sides): That is: twice the width ( 4x) plus twice the length (3x+2);
[tex]perimeter=2\,*\,width \,+\,2\,*\,length\\perimeter = 2\,(4\,x)+2\,(3\,x+2)\\perimeter= 8\,x+6\,x+4\\perimeter= 14\,x\,+ \,4[/tex]
Help help help please urgent ❤️
Answer:
5565
Step-by-step explanation:
5565
intuitively i think its 5565 ;)
Which is the best estimate for the percentage of the attendance at Yamabushi Club being women? HHHHHHHHHEEEEEEEEEEEEEELLLLLLLLLPPPPPPPPP
Answer: D
Step-by-step explanation:
The woman slice is less than half, greater than a quarter, and just over 1/3. Since 1/3 is about 33%, I would say 35% (D).
There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7
How many students are in the class?
Answer:
33 students.
Step-by-step explanation:
There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7.
4×3:7×3
12:21
12+21=33
33 students in the class, which is between 24 and 40 students in a class.
4×2:7×2
8:14
8+14=22
22 is wrong because it has to be between 24 and 40 students in a class.
4×4:7×4
16:28
16+28=44
44 is wrong because it has to be between 24 and 40 students in a class.
4×1:7×1
4:7
4+7=11
11 is wrong because it has to be between 24 and 40 students in a class.
why are parallel lines considered to be parallel ? explain
Answer:It is what it is
Step-by-step explanation:
Answer:
Parallel lines do not intersect.
Parallel lines are like an equal sign
========================
They go Straight across
While perpendicular lines intersect.
A lot of squares are parallelograms, they only have parallel lines.
Hope this helps
~ヾ(・ω・)
A car travels 0.75 miles every minute explain how you could use proportional reasoning to find how far the car travels in one hour
Answer:
A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.
Step-by-step explanation:
.
[140
m21%
10.70
050
060
Answer:
93%
Step-by-step explanation:
caculator
In 2010 Singapore welcome 11600000 overseas visitors.This value has been rounded off to the nearest 100000.What are the largest and smallest possible numbers of overseas visitors?
Answer:
The largest possible number of overseas visitors would be 11,640,000.
The smallest possible number of overseas visitors would be 11,550,000.
Step-by-step explanation:
The number 11,600,000 was rounded off to the nearest 100,000.
This means that either 0 or 1 was added to the figure with place value of 100,000.
It would be zero (0) in the case where the number after the 100,000th placed value number is lower than 5 and it would be one (1) in the case where the number after the 100,000th placed value is greater than or equal to 5.
Therefore, the largest possible number of overseas visitors would be 11,640,000.
The smallest possible number of overseas visitors would be 11,550,000.
What type of number is -2343 a)whole number b)integer c)rational d)irrational
Answer: B and C
Step-by-step explanation:
-2343 is an integer and also a rational number since it can be expressed as a fraction.
An integer is whole number and its opposite so -2343 is an integer because its opposite is 2343.
Solve application using algebra. Write your equation or inequality and show your solving steps. The sum of 3 consecutive integers is 147. Find the 3 integers.
Answer:
Integers are 48, 49, 50
Step-by-step explanation:
x+(x+1)+(x+2) = 147
3x + 3 = 147
3x = 147-3
x = 144 / 3 = 48
What is the solutions of x2 = –5x + 8?
Answer:
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
Step-by-step explanation:
Since moving it to one side can't be factored, I'm going to complete the square.
[tex]x^2+5x=8[/tex]
[tex]x^2+5x+6.25=8+6.25[/tex]
[tex](x+2.5)^2=14.25[/tex]
[tex]x+2.5=\sqrt{14.25}[/tex]
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
Which graph represents the function r(x) = |x – 2| – 1
Answer:
picture?
Step-by-step explanation:
Answer:
Which graph represents the function r(x) = |x – 2| – 1
- The first graph
Step-by-step explanation:
Simplify
Please thanks
Answer: - 6xy/23xy
Step-by-step explanation:
They're both simplified by 11.
The mapping diagram shows a functional relationship.
Domain
Range
Complete the statements
f(4) is
f(x) = 4 when x is
4
8
2
3
11
3
NI-
Intro
Done
Answer:f(4)=1/2
f(x)=4 when x is 8
The complete statements would be as:
⇒ function f(4) is 1/2 and function f(x) = 4 when domain x is 8.
What are the domain and range?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
We have been given that the mapping diagram shows a functional relationship.
To determine the value of f(4)
As per the given functional relationship,
If the value of the domain is 4 then the value of the respective range would be 1/2.
Therefore, the function f(4) would be 1/2.
To determine the value of x, when f(x) = 4
As per the given functional relationship,
If the value of the range is 4 then the value of the respective domain would be 8.
Therefore, x would be 8 if function f(x) = 4 .
Hence, the complete statements would be as:
f(4) is 1/2 and f(x) = 4 when x is 8.
Learn more about the domain and the range here:
brainly.com/question/21027387
#SPJ7
1. A population of lab rats is going to be increased by 3 rats a month. If it costs $3.50 to
care for each rat a month and there were 2 rats to begin with in the lab. (Assume all
rats survive lab work)
a. Create a formula that would represent the population of lab rats in month n.
b. How much will the lab be paying for the rats after 10 months?
C. After how many years will the lab rats population reach 326?
Answer:
a. p(n) = 3n -1
b. $101.50
c. 9 years
Step-by-step explanation:
a. The number of rats in any given month is an arithmetic sequence with first term 2 and common difference 3:
for months 1, 2, 3, 4, the rat population is 2, 5, 8, 11.
The usual formula for the n-th term of an arithmetic sequence applies:
a[n] = a[1] +d(n -1)
a[n] = 2 +3(n -1) = 3n -1
In month n, the population of lab rats is ...
p(n) = 3n -1
__
b. After 10 months, the population will be ...
p(10) = 3·10 -1 = 29
At $3.50 per rat, the cost will be ...
29 · $3.50 = $101.50
__
c. We want to find for p(n) = 326.
326 = 3n -1
327 = 3n
109 = n
Month 109 is 108 months (9 years) after month 1. The population will reach 326 rats in 9 years.
[tex]\sqrt{-16} -\sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4} +3i-3i^{2} +3i^3[/tex]
Answer:
4(i-1)Step-by-step explanation:
Given the expression [tex]\sqrt{-16} - \sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4}+3i-3i^{2} +3i^{3}[/tex]
On simplifying;
First we need to note that i² = -1 and √-1 = i
Substituting the values in the expression, it becomes;
= √16(√-1)-√(-3)(-3)-√(-4)(-4)+3i-3(-1)+3i(i²)
= 4i-√9-√16+3i+3-3i
= 4i-3-4+3
= 4i-4
= 4(i-1)
Find the total surface area of this cuboid
Answer:
76
Step-by-step explanation:
SA=2lw+2lh+2hw, to find the surface area.
i have rounded the answer up by 1 decimal place
find the area of triangle two sides of which are 8cm and 11cm and the perimeter is 32cm with Herons formula
Answer:
8√30
Step-by-step explanation:
The length of the third side is 32 - 8 - 11 = 13. s (which is half of the perimeter) is 32 / 2 = 16 so the answer is:
√s(s-a)(s-b)(s-c) = √16 * (16 - 8) * (16 - 11) * (16 - 13) = √16 * 8 * 5 * 3 = √1920 = 8√30
What is the value of X that makes A parallel to B? WILL GIVE BRAINLIEST!
Answer:
20
Step-by-step explanation:
To make these parallel, 2 and 5 would have to be corresponding angles, meaning that they have equal angle measure:
3x-20=x+20
3x=x+40
2x=40
x=20
Hope this helps!
Answer:
x= 20
Step-by-step explanation:
To make the lines parallel, angle 2 would equal angle 5
3x-20 = x+20
Subtract x from each side
2x -20 = 20
Add 20 to each side
2x-20 +20 = 20+20
2x = 40
Divide by 2
2x/2 = 40/2
x = 20
What is the value of S, for ΣΒ(2) -
=1
Ο 43
84
90
ΘΕ
Answer:
Option (3)
Step-by-step explanation:
Given expression in this question represents the partial sum of an infinite geometric series in the sigma notation.
[tex]S_{n}=\sum_{n=1}^{\infty}6(2)^{n-1}[/tex]
First term of this series 'a' = 6
Common ratio 'r' = 2
We have to find the sum of 4 terms of this infinite series (n = 4).
Sum of n terms of a geometric series is,
[tex]S_n=\frac{a(r^n-1)}{(r-1)}[/tex]
[tex]S_4=\frac{6(2^4-1)}{(2-1)}[/tex]
[tex]=\frac{6(16-1)}{(1)}[/tex]
[tex]=90[/tex]
Therefore, sum of 4 terms of the given series will be 90.
Option (3) will be the answer.
Which table represents a linear function that has a slope of 5 and a y-intercept of 20? A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, 20, 40, 60. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, negative 20, negative 40, negative 60. A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 20, 40, 60. Column 2 is labeled y with entries negative 4, 0, 4, 8. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 60, negative 40, negative 20, 0. Column 2 is labeled y with entries 8, 4, 0, negative 4.
Answer:
A
Step-by-step explanation:
Answer:
A should be the correct answer.
Step-by-step explanation:
Hope this helps
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
Answer:
See below
Step-by-step explanation:
When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.
The sample space is:
[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]
The sample space of the product xy of each outcome forms the required possibility diagram.
This is given as:
[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]
What is the midpoint of the segment shown below ?
Hey there! :)
Answer:
(5, 1/2)
Step-by-step explanation:
Recall that the midpoint formula is:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Plug in the point values to solve for the midpoint:
[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]
Simplify:
[tex](\frac{10}{2}, \frac{1}{2})[/tex]
(5, 1/2) is the midpoint.
Answer:
Midpoint: B. (5, 1/2)
Step-by-step explanation:
Add the x-coordinates of the endpoints and divide by 2.
Add the y-coordinates of the endpoints and divide by 2.
x: (5 + 5)/2 = 10/2 = 5
y: (4 + (-3))/2 = 1/2
Midpoint (5, 1/2)
Match the information on the left with the appropriate equation on the right.
Answer:
See attachment below
Step-by-step explanation:
For the first option, we are given m = - 2 / 3, b = 3. This is likely in the point - slope form y = mx + b, where m = slope and b = y - intercept. Thus, the equation of the line in point - slope form given this information, should be y = - 2 / 3x + 3. It seems as if none of the following equations match this form, so let us interchange the equation a bit,
y = - 2 / 3x + 3,
y + 2 / 3x = 3,
2x + 3y = 9 - Option C
_______________________________________________________
Next we are given m = - 3 / 2, and that this line passes through the point ( 4, - 1 ). Substitute m as - 3 / 2, x as 4, y as - 1, knowing point ( 4, - 1 ), into the form y = mx + b - solving for b.
- 1 = ( - 3 / 2 )( 4 ) + b,
b = 5,
Thus the equation in point - slope form should be y = - 3 / 2x + 5. None of the choices match this, so let us again alter the equation,
y = - 3 / 2x + 5,
2y = - 3x + 10,
- 2y = 3x - 10 - Option A
_______________________________________________________
( 6, 3 ) and ( 3, 1 ) is given to lie on this line. The slope of the line should be as follows,
Slope = 3 - 1 / 6 - 3 = 2 / 3
Now let us determine the y - intercept ( b ) by substitute one of the points, say ( 6, 3 ). In this case x = 6, and y = 3,
3 = ( 2 / 3 )( 6 ) + b,
b = - 1,
y = 2 / 3x - 1 = Option D
Take a look at the attachment below for further help;
At a school carnival you pick a ball from two different containers. Each container has red balls and green balls. How many possible outcomes are there?
Answer:
4
Step-by-step explanation:
2^2
Answer:
4
Step-by-step explanation:
Factorize 7x3 - 21x2
Answer:
[tex]7x^{2}[/tex]([tex]x[/tex]-3)
Step-by-step explanation:
[tex]7x^{3}[/tex] - [tex]21x^{2}[/tex]
[tex]7x^{2}[/tex] goes into both terms.
Divide both terms by [tex]7x^{2}[/tex].
[tex]7x^{2}[/tex]([tex]x[/tex]-3)
TRUE OR FALSE? The equation of a line with slope m = -3 and including point (5, 5) is y = -3x + 20.
Answer:
True.
Step-by-step explanation:
y = -3x + 20
Put x as 5, then y output should be 5.
y = -3(5) + 20
y = -15 + 20
y = 5
True, the line with slope -3 passes through points (5, 5).