A quadrilateral has vertices at (1.4).
(7,3), (3, -5), and (8,4). The
quadrilateral is dilated by a scale
factor of 3.5 with the origin as its
center. What are the coordinates of
the vertices of the image of the
quadrilateral?
Given:
A quadrilateral has vertices at (1,4), (7,3), (3, -5), and (8,4).
The quadrilateral is dilated by a scale factor of 3.5 with the origin as its center.
To find:
The coordinates of the vertices of the image of the quadrilateral.
Solution:
If a figure is dilated by a scale factor k with origin as it center, then
[tex](x,y)\to (kx,ky)[/tex]
It is given that the quadrilateral is dilated by a scale factor of 3.5 with the origin as its center. So, the rule of dilation is
[tex](x,y)\to (3.5x,3.5y)[/tex]
Using this rule, we get
[tex](1,4)\to (3.5(1),3.5(4))[/tex]
[tex](1,4)\to (3.5,14)[/tex]
Similarly,
[tex](7,3)\to (3.5(7),3.5(3))[/tex]
[tex](7,3)\to (24.5,10.5)[/tex]
[tex](3,-5)\to (3.5(3),3.5(-5))[/tex]
[tex](3,-5)\to (10.5,-17.5)[/tex]
And,
[tex](8,4)\to (3.5(8),3.5(4))[/tex]
[tex](8,4)\to (28,14)[/tex]
Therefore, the coordinates of the vertices of the image of the quadrilateral are (3.5,14), (24.5,10.5), (10.5,-17.5), (28,14).
Aidan makes 12 bracelets on Monday. He makes 8 more bracelets each day from Tuesday through Thursday. How many bracelets does Aidan have in all by the end of the day on Thursday? *
5 points
Answer:
He makes 44 bracelets on Friday.
Brainly me or heart if this helped!
Answer:
36 bracelets
Step-by-step explanation:
12+(3*8)=x
12+24=36
Aidan originally started with 12 bracelets. He makes 8 Tuesday through Thursday, which is three days. 8 * 3 is 24 plus 12 equals 36.
A triangle has vertices A(-2,1), B(2,4), C(4,1).
Find the area of the triangle.
Answer: 6 units squared
Step-by-step explanation: ok here is how you do it so you make the triangle like I did and once you make it. You count the squares about how long it is and how high it is in this case I got for the base 6 and the height 2 so we multiply to get 12 also we divide 12 and 2 to get 6 units squared there you go. hope this helps.
is it A or B right answer get brainiest
Answer:
a
Step-by-step explanation:
what is 7432 divided by 6
Type the 4 letter code , need before one please :)
9514 1404 393
Answer:
DECB
Step-by-step explanation:
Correct except for graph 2. That graph has a solid line, a y-intercept of -2 and a slope of 4. Its inequality is ...
y ≤ 4x -2 . . . . choice E
Can Sombody answer this?
Answer:
x = √3
Step-by-step explanation:
tan 30° = 1/x
x = 1.73
but to get it in radical form:
sin 30° = 1/hypotenuse
hypotenuse = 2
x² = 2²- 1² = 4 - 1 = 3
x = √3
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
147
Step-by-step explanation:
Answer:
x= 147
Step-by-step explanation:
x+33°= 180° (sum of angles on a straight line)
x= 180°-33°
x= 147°
Function m represents the number of people in a movie theatre on a Tuesday as a
function of hours since the movie theatre opened.
Here is the graph of function
Based on the graph and the situation, what are the domain and range for function m?
The domain is...
The range is...
Can you guys help me with this problem
It is the picture
Answer:
Mulipte them
Step-by-step explanation:
for the 15 ft look at the other side which is 50 ft and do 50-15 to see what is the other missing part
A new espresso coffee maker is being used at the coffee shop where you work. It heats water to 122°F in a matter of seconds. What is the equivalent
Celsius reading of this temperature?
Answer:
50°C
Step-by-step explanation:
(122°F − 32) × 5/9 = 50°C
Marissa works in a bread shop every hour
Answer:
She's getting paid minimum wage, in debt, and struggling in college.
A 15% tip on a restaurant bill is $3.60. How much is the bill?
A. $12.60
B. $18.60
C. $24.00
D. $54.00
The cost of bill is,
⇒ $24
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
A 15% tip on a restaurant bill is $3.60.
Now,
Let the cost of bill is, $x
Hence, We can formulate;
⇒ 15% of x = 3.60
⇒ 15x/100 = 3.60
⇒ 15x = 360
⇒ x = 360 / 15
⇒ x = 24
Thus, The cost of bill is, $24
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
If O is an angle in standard position and its terminal side passes through the point
(3,-1), find the exact value of tan 0 in simplest radical form.
please help !
Answer:
-1/3
Step-by-step explanation:
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
Substitute the two points given into the slope formula:
m= y2-y1/x2-x1
m= 0-1/1-0
m=-1
The Slope is -1
Hope this helps! :)
HELP please please will give brainly
Answer:
1: x int = (-7,0)
y int = (0,-7)
2: x int = (4,0)
y int = (0,8)
Step-by-step explanation:
Just use a website called desmos. Simply your equation then plug it in.
Hmm which one? Need it asap and will gift brainlest for answer
Answer:
divide 47.12 by 3.14
Step-by-step explanation:
that way it will give you an answe
Which polygons are similar?
1
2
3
4
Triangle 1 and 4 are similar using AAA
number one and four.......
Supposed B is the midpoint of line AC. Use the given information to find the missing measure. AB = 6Y -14, BC = 10-2Y 2Y, what is AC
Given:
B is the midpoint of line AC.
[tex]AB=6Y-14[/tex]
[tex]BC=10-2Y[/tex]
To find:
The length of AC.
Solution:
It is given that B is the midpoint of line AC. So,
[tex]AB=BC[/tex]
[tex]6Y-14=10-2Y[/tex]
[tex]6Y+2Y=10+14[/tex]
[tex]8Y=24[/tex]
Divide both sides by 8.
[tex]Y=\dfrac{24}{8}[/tex]
[tex]Y=3[/tex]
The value of Y is 3.
Now,
[tex]AC=AB+BC[/tex]
[tex]AC=6Y-14+10-2Y[/tex]
[tex]AC=4Y-4[/tex]
Putting [tex]Y=3[/tex], we get
[tex]AC=4(3)-4[/tex]
[tex]AC=12-4[/tex]
[tex]AC=8[/tex]
Therefore, the length of AC is 8 units.
I need this answer as soon as possible and also can u explain it
Answer:
56
Step-by-step explanation:
x=5
so x for the gym is 5 and x+3=5+3=8
add 5 and 8 because that is a whole side.
we are trying to find perimeter which us the outside of the shape. you are just going to "walk the fence" . so now, we have two sides of 15 and two sides of 13 (5+8). 13+13=26. 15+15=30
add the 26 and 30
The table shown below represents a function. Which of the following values cannot be used to complete the table?
X Y
-10 5
-25 10
-5 15
__ 20
1. -20
2. -15
3. -5
Answer:
3.-5 is correct
Step-by-step explanation:
We are given,
The table which represents a function.
Now, 'A function is a relation in which every element of the domain has a unique image'.
So, from the table, we see that,
-5 has the image 15.
So, it cannot have another image.
Thus, the number which cannot be used to complete the table is -5.
Hence, option C is correct.
How to find area when perimeter is given?
Put formula of perimeter and simplify to get value of any variable ,
Then replace the value of that variable in formula of area and then simplify it .
Tell me the definitions of the following vocabulary words:
quadrilateral:
parallelogram
trapeze:
rectangle:
diamond:
square: PLS HELP ME
Answer:
quadrilateral: a four-sided shape or figure and has four striaght sides
parallelogram: four-sided plane with oppisite paraell sides
trapezoid: a quadrilateral with one pair of parell sides
rectangle: a figure with both four stright and four right angles. It is also quadrilateral, paraellagram,
diamond: a quadrilateral that has four sides of the same lenght and is also a parallelogram .
square: a quadrilateral with four equal sides. It is a rectangle and parallagram.
Hope that helped you! :)
Step-by-step explanation:
Which simplified expression matches the perimeter of the shape?
Nobody noticed my last questions please answer them though .
Answer:
28 degrees
Step-by-step explanation:
just subtract 62 from 90
I need help again /:
Step-by-step explanation:
I would go with a or b but one sec let me work it out
Derek bought cups for $50 a dozen. He sold them for $10 each. What is his profit?
Step-by-step explanation:
no loss because he bought so rich and sold so los cost
sorry that the pic is upside down
ANSWER IT PLS
NO LINKS
BRAINLIEST
a. 45
b. 34
c. 29
d. 56
A cohort study of smoking and lung cancer was conducted in a small island population. There were a total of 1,000 people in the study, and the study was conducted over a ten year period. Four hundred were smokers and 600 were not. Of the smokers, fifty developed lung cancer. Of the non-smokers, 10 developed lung cancer. In order to measure the strength of association between smoking and lung cancer in this population, which measure of exposure-disease association would you use
Answer:
A measure of exposure-disease association one could use is the odds ratio (OR)
Step-by-step explanation:
An Odds ratio (OR) is a statistical measure quantifying the level of association between two events such as an exposure and an outcome
The odds ratio gives the probability of outcome where there is a given amount of exposure
We have the table;
[tex]\begin{array}{ccc}&Developed \ lung \ cancer& Did \ not \ develop \ lung \ cancer\\Smokers&50&350\\Non-smokers&10&590\end{array}[/tex]
The odds ratio = (The number of smokers with the lung-cancer)/(The number of non-smokers with lung-cancer) ÷ (The number of smokers smokers without long cancer).(The number of non-smokers without long cancer)
∴ OR = (50/10) ÷ (350/590) = 59/7 = 8.[tex]\overline{428571}[/tex] ≈ 8.4
Therefore, a smoker is approximately 8.4 times more likely to develop lung cancer than a non-smoker.