It is because u can only do pathagreom therom on right triangles.
2*2 + 2.1*2.1
4+4.41=8.41
square root of 8.41 is 2.9 so that confrms the therom which isaversa confirms it is a right triangle.
A square table in the cafeteria has the dimensions shown. What is the length of the diagonal of the table? Round to the nearest hundredth of a foot.
Answer: 11.31
Step-by-step explanation:
The best description of a dilation of a figure is?
Answer:
an enlargement or a reduction of the figure
a slide of the figure
a turning of the figure about some fixed point
a mirror image of the figure
The best description of a dilation of a figure is a slide of the figure.
What is dilation?
A dilation is a transformation that changes the size of a figure. It can become larger or smaller but the shape of the figure does not change.
Now,
The best description of a dilation of a figure is a slide of the figure.
Learn more about the dilation visit:
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Linear inequality systems graphically
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))
[tex]x^{2} -x-6[/tex]
Answer:
1. (x-3)(x+2)
2. (x-5)(x-3)
3. x= 2,1
4. x= -2,-4
5. x= 3,-7
6. x= 1,-8
7. x= 5,-7
8. x= -1/3,-2
Step-by-step explanation:
50.6 is what percent of 55?
50.6 is % of 55.
Answer:
50.6 is 92% of 55
Step-by-step explanation:
50.6:55*100 =
(50.6*100):55 =
5060:55 = 92
Now we have: 50.6 is what percent of 55 = 92
Hope this helped!
The playroom on a blueprint is 3 cm by 8 cm. If the blueprint was drawn using a scale of 1 cm
= 5 ft, what are the actual dimensions of the playroom?
Answer:
15 feet by 40 feet
Step-by-step explanation:
if the original dimensions were 3 by 8 and 1 cm = 5 feet multiply 3x5 then 8x5 and you receive your answer.
Let’s say we are using 12 inch diameter balloons filled with helium to lift objects off of the surface.
*Let’s say that 5 balloons can lift 60 grams of weight.
What is the unit rate for weight/balloon? ________
Answer:
its 12
Step-by-step explanation:
A tendency to avoid putting money into high-risk investments is known as being
a.risk-adverse
b.conscientious saver c.investment-adverse
d.saver
Answer:
a
Step-by-step explanation:
Answer:
risk-adverse
Step-by-step explanation:
The term risk-averse describes the investor who chooses the preservation of capital over the potential for a higher-than-average return.
if someone was on a diet from march to july. his mass in march was 95.2kg and in july 88.7kg. what is the percentage change in mass?
Answer:
6.82%(or -6.82%, it depends)
Step-by-step explanation:
95.2-88.7=6.5
6.5/95.2=6.82%
5. A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank?
Answer:
8 ft.
Step-by-step explanation:
V = Bh B = area of the base h = height
The base is a circle, so [tex]B = \pi r^{2}[/tex]
320π = [tex]\pi r^{2} (20) = 20\pi r^{2}[/tex]
[tex]r^{2} = \frac{320\pi }{20\pi } = 16[/tex]
r = 4
d = 8 ft.
Please help.... I don’t understand
Answer:
$5
Step-by-step explanation:
Set up a system of equations
let b be the cost of a bow
let w be the cost of a roll of wrapping paper
This means that
[tex]5b + w = 10\\b + w = 6[/tex]
Subtract the two equations
[tex]5b + w = 10\\- (b + w = 6)\\4b = 4\\b = 1[/tex]
Plug this into the equation b + w = 6
1 + w = 6
w = 5.
This means the cost of a bow is $1 and the cost of a roll of wrapping paper is $5.
Sophie buys a wheelbarrow priced at $72. If the sales tax is 5%, what will be the total cost
including tax?
Answer:
$75.6
Step-by-step explanation:
5%of 72 = 3.6
72+3.6 = 75.6
Would sinA 15/17 be corrrect?
Answer:
yes
Step-by-step explanation:
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{17}[/tex]
solve
¾.(z to the 3rd power . 4)=
Answer:
In the number 75, 5 is the base and 7 is the exponent. Solution: False. Example 7: 4. 3 a. a a a a b. b b b. + + +. = + +. Solution:.
Janine and her older sister Ingrid's ages are consecutive even numbers. When Janine's age is divided by seven, and Ingrid's age is divided by three, the sum of those numbers is fourteen. How
old are Janine and Ingrid?
Answer:
Janine is 28. Ingrid is 30.
Step-by-step explanation:
Let the ages be x and x + 2 for Janine and her sister, respectively.
x/7 + (x + 2)/3 = 14
Multiply both sides by the LCD, 21, to get rid of denominators.
21 * x/7 + 21 * (x + 2)/2 = 21 * 14
3x + 7(x + 2) = 294
3x + 7x + 14 = 294
10x = 280
x = 28
x + 2 = 30
Answer: Janine is 28. Ingrid is 30.
Answer:
Janine is 28 and Ingrid is 30.
Step-by-step explanation:
Let Janine's age be x years , then Ingrid's age is x+2 years.
From the given information we have the equation:
x/7 + (x + 2)/3 = 14
Multiplying through by the LCM of 3 and 7 (21), we have:
3x + 7(x + 2) = 294
10x + 14 = 294
10x = 294-14 = 280
x = 28, so:
Janine is 28 and Ingrid is 30.
Gabe bought 4 books about animals, 2 books about outer space, and 3 books about trains. Each book cost \$5 . How much did Gabe spend on the books?
Answer:
45$RsAmountjjfjjdjehsvebhehehe
4. Katy sells new video games at a gaming store. Katy gets a bonus if she sells more than 60 video games. If 8 people each buy 7 video games, how many more video games does Katy need to sell to get her bonus? Show your work
If the number of hours you hours you work is proportional to the amount of money you earn per hour, which og tye following statements is true?
Answer:
it should be a
Step-by-step explanation:
if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money
Is the number 0.1875 rational or irrational
6th grade math easy helpp
Answer: 18 degrees
Step-by-step explanation:
If the temperature dropped 12 degrees (48-36) in 10 hours then the ratio is
10hours:12 degrees
to find hours divide both sides by 2 and multiply by 3 to get
15hours: 18 degrees
In a standard 52−card deck, half of the cards are red and half are black. The 52 cards are divided evenly into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered from 2 to 10.
Suppose a solitaire player has played 600 games. Predict how many times the player turned over a red card as the first card.
The player can expect to turn over a red card about _____ times.
Answer:
300 times
Step-by-step explanation:
52 card deck
half are red
halfare black
what is the slope of this line?
Answer:
-1/200
Step-by-step explanation:
To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.
.necesito resolver estas operaciones con factorial ayuda por favor
- A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
2. (6ǃ-4ǃ)/2ǃ
2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
R = 10ǃx8ǃ/(6ǃ+5ǃ)
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Answer:
A. 4
B. 348
C. 2
D. 174182400
E. x = 2
Step-by-step explanation:
Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
B = (6ǃ-4ǃ)/2ǃ
C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
D = 10ǃx8ǃ/(6ǃ+5ǃ)
E - ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Proof -
A.
(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]
= 2! [ 4×3 + 1 + 3] / 2! [3 + 1]
= [12 + 1 + 3] / [4]
= [16] / [4] = 4
⇒(4! + 2! + 3! )/ (3! + 2!) = 4
B.
(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!
= 4! [6×5 - 1] / 2!
= 4×3×2! [ 30 - 1] / 2!
= 12 [29] = 348
⇒(6ǃ-4ǃ)/2ǃ = 348
C.
2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]
= 2!×3!×4! / 4! [ 5 + 1]
= (2×1) × (3×2×1) / 6
= 12 / 6 = 2
⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2
D.
10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]
= (10×9×8×7×6×5×4×3×2×1) ×(8×6)
= 174182400
⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400
E.
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!
[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)! [ (x+4)+ 1] = 6!
[(x+5)(x+4)(x+3)! / ( [ x+ 5 ] = 6!
(x+4)(x+3)! = 6!
(x+4)! = 6!
x+ 4 = 6
x = 6 - 4
x = 2
Note :
x! = x(x-1)(x-2).......(4)(3)(2)(1)
2x + 6
96
solve for x using an algebraic equation
Answer:
v
Step-by-step explanation:
hii please help i’ll give brainliest!!
Answer:
your answer should be C.
find the value of 2\5of rs75
Step-by-step explanation:
Given
[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]
Hope it will help :)
Answer:
2÷5×75=30
Step-by-step explanation:
Can a triangle be formed with the following measurements?: 4 m, 5.1 m, 12.5 m
Answer:
no
Step-by-step explanation:
Hello There!
So in order for it to be a triangle the sum of the two shorter sides has to be greater than the longest side
4+5.1=9.1
9.1 is not greater than 12.5 therefore a triangle cannot be formed with the given measurement
Calculate the area of the right - angled triangle with base of 18cm and height 6.5cm
Answer:
area = 58.5 cm²
Step-by-step explanation:
area = 18 x 6.5 x 0.5 = 58.5 cm²
luis has a cooler full of soda. For every 5 cans of coke there are 3 cans of sprite. if there are 25 cans of coke, how many cans of sprite are there?
Answer: 15 cans of sprite
Step-by-step explanation:
5 cans of coke and 3 cans of sprite
then its
25 cans of coke and 15 cans of sprite