Given R'S'T'U' is a dilation of RSTU, find the scale factor of dilation.
Answer:
The scale factor of a dilation is 3.
Step-by-step explanation:
Given the length ST of the rectangle RSTU
The length ST of the rectangle = 8 units
It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8
i.e.
S'T' = 3(ST)
S'T' = 3(8) ∵ ST = 8
S'T' = 24
It indicates that the RSTU has been dilated by a scale factor of 3.
As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.
Therefore, the scale factor of a dilation is 3.
solve the equation and show the work please
i need to know the next sequence in these fractions simplified
Answer:
The sequence is add 3/20
Step-by-step explanation:
152=8(3a-2) justify each step
Step-by-step explanation:
152 = 8(3a - 2)
152 = 8 × 3a - 8 × 2
152 = 24a - 16
152 + 16 = 24a
168 = 24a
a = 168/24
a = 7
Answer:
-7
Step-by-step explanation:
152=8(3a-2)
8(3a-2)=152
8(3a-2)/8=(152){8)
3a-2=19
3a-2+2=19+2
3a=21
3a/3=21/3
a=-7
Is this correct?
:'(
Answer:
I think that's right cus I did this test
A city stretches for 480,000 meters in its greatest dimension. The mayor is having a model of the city created. The
model will be 100,000 times smaller than the actual city. How big will the model be in its greatest dimension?
Answer:
4.8
Step-by-step explanation:
took test
The model of the city would be 4.8 meters in its greatest dimension.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A city stretches for 480,000 meters in its greatest dimension.
And, The model will be 100,000 times smaller than the actual city.
Hence, To find out the size of the model in its greatest dimension, we need to divide the actual size of the city by the scale factor.
Therefore, the size of the model in its greatest dimension would be;
⇒ 480,000 meters ÷ 100,000
⇒ 4.8 meters
Thus, the model of the city would be 4.8 meters in its greatest dimension.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ2
2/3x+5=21 pls use shoe work
[tex]\frac{2}{3}x+5=21\\\frac{2}{3}x=16\\x=16/2/3\\x=16*3/2\\24[/tex]
In 1970, the median home value was $20,000. By 2020, the median home value was $320,000. What is the percent increase in home value in those 50 years?
Answer:
1500%
Step-by-step explanation:
The formula for Percentage increase is
Increase/ Initial Amount × 100
Increase = Current Amount - Initial Amount
Increase = $320,000 - $20,000
Increase = $300,000
Percentage Increase =
$300,000/$20,000 × 100
= 1500%
The percent increase in home value in those 50 years is 1500%
can y’all help me???
help please this is due in a few minutes!!
what's the quotient of 35.86÷2.2
Answer:
The answer to your question is 16.3.
If two out of every 10 high school students are licensed drivers, about how many students would be expected to have drivers' licenses in a high school with 615 students?
Answer: 123 students
Step-by-step explanation:
2/10 is 20% so you'd take 615 x 0.20 which is 123.
Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
1-yes rhombus
2-no rhombus
3-yes rhombus
The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponent function to find the population of the town after 5 years
Answer:
2099
Step-by-step explanation:
The formula for Exponential Decrease is given as:
P(t) = Po × e ^-rt
Where
r = Decrease rate = 3.5% = 0.035
t = time in years = 5 years
Po = Initial population = 2500
P(t) = Current Population after t years
Hence:
P(t) = 2500 × e^ -(5 × 0.035)
P(t) = 2500 × e^-0.175
P(t) = 2098.6425519
Approximately = 2099
The population of the town after 5 years = 2099
The scale on a map is 4 cm = 25 miles. Dave measures the distance to the next town at 9 cm. How many miles away is the next town?
Answer:
58.333....
Step-by-step explanation:
8cm=50
1cm so 25/3
8.3333333333
Answer:
56.25 or 56 1/4
Step-by-step explanation:
If 4 cm is equal to 25 miles then we can divide 25 by 4 to see how many miles is in 1 cm.
25 divided by 4 is 6.25 or 6 1/4
Therefor 1 cm is equal to 6.25 miles.
Now we multiply 9 by 6.25 to get 56.25
Sandra is making pizzas for a party. each pizza will have 8 slices. she plans on 2 slices per person. if there will be 12 people at the party, how many pizzas should she make?
Answer:
3 pizzas
Step-by-step explanation:
12 x 2 = 24
24 divided by 8 = 3
Jacob makes a scale drawing for a crate with a scale factor of 1:20 the dimitions of his scale drawing is 3 in long and 2 in wide the bulder creates a scale drawing of the crate with the scale factor of 1:10. What are the dimitions of the builders drawing?
Answer:
6 in long ; 4 in wide
Step-by-step explanation:
With a scale of 1:20
Scaled drawing is 3 in long ; 2 in wide
Actual dimension :
Length = 20 * 3 = 60 in
Width = 20 * 2 = 40 in
Hence, to make a scaled drawing using 1 :10
Dimension :
Length = (1/10) * 60 = 6 inches
Width = (1/10) * 40 = 4 inches
How are fractals developed
Answer:
Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. ... Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.
Step-by-step explanation:
How do I solve this equation using long division?
Answer: 2x2 +3x+5
Step-by-step explanation:
is 8 greater than -8
Answer:
yes
Step-by-step explanation: bc 8 is positive and -8 in negitive. 8 has a greater vealu bc its posivtive. -8 i has a leere vealu bc it negitive.
transforming quadratic graphs
Answer:
f(x) = 3(x - 2)² + 4
OR
f(x) = 3x² - 12x + 16
Step-by-step explanation:
Vertex form of a parabola:
y = a(x - h)² + kStandard form of a parabola:
y = ax² + bx + cLet's find the vertex of this parabola.
(h, k) → (2, 4)In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.
Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.
7 = a[(3) - (2)]² + 4Simplify using PEMDAS.
7 = a(1)² + 47 = a + 4Subtract 4 from both sides.
a = 3Now we have (h, k) and a of the vertex form.
y = a(x - h)² + k → y = 3(x - 2)² + 4In order to convert from vertex to standard form, simplify the equation by FOILing.
y = 3(x - 2)² + 4y = 3(x² - 4x + 4) + 4Distribute 3 inside the parentheses.
y = 3x² - 12x + 12 + 4Combine like terms.
y = 3x² - 12x + 16Therefore, we have the answer:
Vertex form:
f(x) = 3(x - 2)² + 4Standard form:
f(x) = 3x² - 12x + 16A subset of values of the function g(x) is shown in the following table.
Answer:
Option (4)
Step-by-step explanation:
x g(x) Ist difference IInd difference Ratio
1 13 - - -
2 3 3 - 13 = -10 - [tex]\frac{3}{13}[/tex]
3 -3 -3 - 3 = -6 -6 - (-10) = 4 [tex]\frac{-3}{3}=-1[/tex]
4 -5 -5 - (-3) = -2 -2 - (-6) = 4 [tex]\frac{-5}{-3}=\frac{5}{3}[/tex]
5 -3 -3 - (-5) = 2 2 - (-2) = 4 [tex]\frac{-3}{-5}=\frac{3}{5}[/tex]
This table depicts,
1). Ist difference is not common
2). IInd difference is common
3). Ratio is not common
Therefore, this table represents a quadratic function because the second difference are all the same value.
Option (4) will be the answer.
If 2 : 9 = x : 18, then find the value of x
Answer:
4
Step-by-step explanation:
4 is the answer
Answer:
4
Step-by-step explanation:
2/9=x/18
9x=36
x=4
Factor the expression completely.
Answer:
Factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]
Step-by-step explanation:
We need to factor the expression [tex]xy^4+x^4y^4[/tex] completely
We need to find common terms in the expression.
Looking at the expression, we get [tex]xy^4[/tex] is common in both terms, so we can write:
[tex]xy^4+x^4y^4\\=xy^4(1+x^3)[/tex]
So, taking out the common expression we get: [tex]xy^4(1+x^3)[/tex]
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
So, we get:
[tex]xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)[/tex]
Therefor factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]
what is 10 x 10 -9x 6 + 7 first to answer will get brainlyest
what is the vertical asymptote of f(x)= 7/ x + 5
Answer:
Vertical Asymptotes: x=-5
Horizontal Asymptotes: y=7
ASAP plzzz answer 1 and 2!!! Directions are on the screenshot!! 50 pts + Brainliest
Answer:
- 1 -4 for the botome one
Step-by-step explanation: sorry thats all i got
Answer:
negative 1 -4
Step-by-step explanation:
Jerry has a garden that has a length of 30 feet and a width of 10 feet. Fertilizer is on sale for $2 per bottle. If each bottle covers 25 square feet, how much will it cost to fertilize the whole garden?
Answer: $50
Step-by-step explanation:
30 × 10 = 40 ft² [garden area]
40 ÷ 25 = 1.6
1.6 ≈ 2
For the area of the entire garden, you need to buy two bottles of fertilizer.
25 × 2 = 50 [fertilization cost for the whole garden]
i need to identify the slope and the y-intercept of the line with a given equation, the given equation is y = 1/2x +5 . i need to graph it aswell.
Answer:
y-intercept: 5
slope: 1/2
Step-by-step explanation:
The equation y=1/2x+5 is an example of y-intercept form(y=mx+b). This is where b represents the y-intercept and m represents the slope. I will not graph this for you but can explain it.
First plot the y-intercept on the graph. (0.5). Then use the slope to find the next point off of the y-intercept. So for example, the next point would be (2,6).
A kukura puzzle on my math homework plz help
Answer:
i have no clue ngl but online theres websites that will solve them for you
Step-by-step explanation:
if you want a link lmk lol