Answer:
Hello, I am not sure if you mean a dilation by 1/4. If it is, this will be the answer:
B (1, 1)
C (2, 3.5)
D (3, 0)
Step-by-step explanation:
Just divide each number by 4. B (4, 4) = B (4/4, 4/4) = B (1, 1)
Continue to do this for each coordinate set given.
Hope this helps!
The vertices of triangle B'C'D' are:
B'(-1, -1/2)
C'(0, 2)
D'(1, -3/2)
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the vertices of triangle B'C'D', which is a dilation of triangle BCD with center at the origin and a scale factor of 1/4,
We can follow these steps:
Find the coordinates of the centroid of triangle BCD.
The coordinates of the centroid G are:
[tex]x_G = (x_B + x_C + x_D) / 3 = (4 + 8 + 12) / 3 = 8[/tex]
[tex]y_G = (y_B + y_C + y_D) / 3 = (4 + 14 + 0) / 3 = 6[/tex]
Translate triangle BCD so that its centroid is at the origin.
We can do this by subtracting the coordinates of the centroid from the coordinates of each vertex:
B(4, 4) → [tex]B_1(4 - 8, 4 - 6) = B_1(-4, -2)[/tex]
C(8, 14) → [tex]C_1(8 - 8, 14 - 6) = C_1(0, 8)[/tex]
D(12, 0) → [tex]D_1(12 - 8, 0 - 6) = D_1(4, -6)[/tex]
Dilate the translated triangle [tex]B_1C_1D_1[/tex] by a scale factor of 1/4.
To do this, we can multiply the coordinates of each vertex by 1/4:
[tex]B_1[/tex](-4, -2) → B'(-4 x 1/4, -2 x 1/4) = B'(-1, -1/2)
[tex]C_1[/tex](0, 8) → C'(0 x 1/4, 8 x 1/4) = C'(0, 2)
[tex]D_1[/tex](4, -6) → D'(4 x 1/4, -6 x 1/4) = D'(1, -3/2)
Therefore,
The vertices of triangle B'C'D' are:
B'(-1, -1/2)
C'(0, 2)
D'(1, -3/2)
Learn more about triangles here:
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You want a soccer ball. It costs $10.00. Because everyone wants the item, the price goes up 6%. Find the new price
Answer: X/10.00 = 6/100
So you would first do 6 times 10.00 which is 60.00 then divid by 100 then you will get your answer
Solve for u.
9u + 10 ≥ 1
27 points
Answer:
u >= -1
Step-by-step explanation:
9u >= 1-10
9u >= -9
u >= -1
Answer:
u>= -1
Step-by-step explanation:
9u + 10 >= 1
9u >= 1-10
9u >= -9
Divide 9 on both sides
u >= -1
Assume an average bunch of bananas contains 7 bananas. Make your own assumption
about the average number of bananas a person eats per week. Explain how you can
make an estimate as to how many bunches of bananas are needed for a year’s supply
for one person.
can some one helo me ASAP
Answer:
45
Step-by-step explanation:
small hotel(sm) 7.75 per week
bed and breakfast (b+b) 3.25 per week
(sm)7.75-(b+b)3.25 is 4.5 more per week
4.5 is one week
4.5x10 is 10 weeks
45 more people over a 10 week period
Answer:21
32
Step-by-step ex32planation:
11
I need help, thanks in advanced ...
He should buy 5 blue ones and 6 green ones, in total 11! Hoped I helped u!
whats 1312755 x 3430975324578, first one to answer will get a brainliest
1.0730547e+08
i think im not sure though
HELP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLS
A special machine is used at a construction site to dig holes. A hole is dug to a depth of 4.75 feet when the machine hits rock. The progress slows to 3/5 feet per hour of digging. The depth of the hole must be at least 12 1/2 feet by the end of the day to stay on schedule. What is the minimum amount of time the machine must continue at its present rate to complete the hole on schedule? Select from the drop-down menus to correctly complete the statement.
Answer: 12 h ; 45 m
Step-by-step explanation:
*Important: From what I can see in this image, this appears to be a test. If this is the case, please do not cheat. In any case, here is the explanation.
What we know:
Progress has been made to 4.75Rate of digging is 3/5 mphDepth must be at least 12 1/2We need to find the minimum amount of time the machine worksHow to solve:
By setting up an algebraic equation, we can solve this.
Process:
Set up equation 4.75 + 3/5x = 12 1/2Convert 19/4 + 3/5x = 12 1/295/20 + 12/20x = 250/20
Subtract -95/20 -95/2012/20x= 155/20
Isolate x via division /(12/20) /(12/20)+Simplifyx= 12 11/20
Convert 12 h 33 mSolution: 12 ; 45
The minimum amount of time taken by the machine will be 12 hours and 55 minutes.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
An exceptional machine is utilized at a building site to dig openings. An opening is dug to a profundity of 4.75 feet when the machine hits the rock. The advancement eases back to 3/5 feet each hour of digging. The profundity of the opening should be no less than 12 ¹/₂ feet before the day's over to remain on time.
Convert the mixed fraction number into a decimal number.
12 ¹/₂ feet = 12.5 feet
Let 'x' be the time. Then the equation is given as,
(3/5)x = 12.5 - 4.75
Simplify the equation, then we have
(3/5)x = 12.5 - 4.75
(3/5)x = 7.75
x = 12.9167
x = 12 + 0.9167 x 60
x = 12 hours and 55 minutes
The base measure of time taken by the machine will be 12 hours and 55 minutes.
More about the solution of the equation link is given below.
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Mr. Jensen bought 2 2/3 gallons of gasoline yesterday. Today he bought 3 1/2 more gallons. How many total gallons of gasoline has he bought?
A. 5 3/5 gallons
B. 5 3/6 gallons
C. 6 1/6 gallons
D. 5 1/6 gallons
Please give an explanation to the answer, and no out of context or absurd answers, thank you!
Answer:
The answer is C
Step-by-step explanation:
2 2/3 + 3 1/2
first, add the whole numbers
(2+3)+( 2/3+1/2)
=5 and then you multiply each fraction by the other denominators
2/3 x 2 and 1/2 x 3
=5 4/6 3/6
Now add each fraction because it is the same denominator
4+3=7 so it is 7/6 now to make it a mixed fraction
7/6=1 1/6
5 +1=6
6+1/6 = 6 1/6
Hope this helps
Given that the function graphed is ƒ(x), what is ƒ(−5)?
I will give the best answer brainliest!
Answer:
D. 5
Step-by-step explanation:
yeah-ya............. right?
Is using the associative property of addition a good strategy for simplifying (4/3 + 2/3) + 2? Why or why not?
Answer:
Easy way
Step-by-step explanation:
(4/3 + 2/3) + 2
= 2 + 2
=4
Oviously (4/3 + 2/3) is directly 2.
what equation is true for x=10 PLS ANSWER ASAP
A. 2x + 5 = 25
B. 3x + 5 = 17
C. 5x - 18 = 7
D. 6x - 10 = 26
Someone help me with this please, I really need help, and it's due tmrw...PLEASE
Answer:
y=(x*9)-4
Step-by-step explanation:
for example:
0*9=0
0-4=-4
4*9=36
36-4=32
2*9=18
18-4=14
hope this helped ;)
I need help on this equation, it’s solutions to inequalities. I need explanation on why it’s that answer, plz, thx
Answer:
k=69
Step-by-step explanation:
(plug in 69 instead of k)
69/3 = 23.
23+1=24
The ≥ sign means 21 has to be GREATER or EQUAL to 17.
Is it?
24≥17?
YES!
So, it works out.
Hope this helps.
If you still don't get it, just ask again, I'll explain it in more detail.
Ty! \\\//\\//\\//\\//\\//\\//\//\\//\\///
answers:
The temperature change for the first box is 45.
explanation : The temp. dropped by -45 that day. (40-0=40)+( 0--5=5) (40) + (5)= 45
The answer to box two is -6.
explanation: (46-52=-6)
The answer to the final box is 5.
explanation : (63-58=5)
HOPE THIS HELPS! HAPPY HOLIDAYS <3 DON'T FORGET TO DRINK WATER.
I need help plz. You have to write an equation from the graph, you either multiply, divide, add or subtract
8 2/9 - 2 2/3
NO LINKS OR ABSURD, OUT OF CONTEXT ANSWERS, THANK YOU.
Answer: 5 5/9
Step-by-step explanation:
try it
PLS WILL MARK BRAINLIEST
Solve the equation for all values of x by completing the square.
x^2 + 6x – 27 = 0
Answer:
Solution
=3
=−9
x=3
x=−9
x=3x=−9
Step-by-step explanation:
Boom
Answer:
x=-9 and 3
Step-by-step explanation:
FOIL method
x^2+6x-27=0
Find the common numbers that multiply to 27 that will also equal 6.
(27x6) or (9x3)
the 6 is positive while 27 is negative so you need to use a + and - in the parenthesis.
then FOIL them
(x+9)(x-3)
FIRST: x*x=x^2
OUTSIDE: x*-3=-3x
INNER: 9*x=9x
LAST: +9*-3=-27
x^2(-3x9x)-27
x^2+6x-27
now that the equation matches you solve for x.
(x+9)=0 x=-9
(x-3)=0 x=3
can someone please help me thank you
Answer: Pentagonal Prism
Answer:
what are the multiple choices please
Step-by-step explanation:
include reasoning pls
Please help me with this answer!
Answer:
y=7/4x
Step-by-step explanation:
Ravi made $306 for 18 hours of work. At the same rate, how many hours would he have to work to make $221?
Answer:
hhhhhhhhhhhhhhhh
Step-by-step explanation:
The answer needs to be simplified. Thank You!!
Answer:
-0.7333333333
Step-by-step explanation:
1.4 x 2 1/3 = 3.2666667
3.266... - 4 = . 7333...
Pls help me with this math.
Answer: Step 3 is wrong.
Step-by-step explanation: Michael changed the value of -6x to a positive 6x. He should keep the negative sign. This will change the solution into a positive instead of a negative 1/3.
Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed or left-handed students? Explain. Write your answers in simplest form.
what is the fraction for the right handed people
Answer:
Step-by-step explanation:
12% is equivalent to 12/100. This reduces to 3/25. Thus, 3/25ths of the students are left-handed. The corresponding fraction for the right handed people is (25-3)/25, or 22/25ths. There are more right-handed people (22/25ths) versus left-handed people.
The density of a substance is the mass of the substance per unit of volume. The density of the element Americium is inversely proportional to its volume. The graph shows the relationship between the density of Americium, p grams per cubic centimeters, and its volume, v cubic centimeters.
Answer:
The density of a substance is the mass of the substance per unit of volume.
Step-by-step explanation:
SOLVE PLEASE WORTH 15 POINTS
Name the Solid.
What is the VOLUME of the solid?
Most Precise Answer =
Round to the nearest hundredth.
Approximate Answer =
Round to the nearest tenth if necessary.
Answer:
41,223.98
Step-by-step explanation:
Find the volume of the full sphere, then divide by 2 to get 1/2 of a sphere.
The answer for the full sphere is 82447.96 but divide by 2 and get 41,223.98.
Deanna borrowed $650 at 8% 0 simple interest. How much - 52 interest did she pay for 1 year?
Answer:
i = ($650)(0.08)(1) = $52
Step-by-step explanation:
The formula for simple interest is i = prt. Here p = $650, r = 0.08 and t = 1 (year). Then the simple interest Deanna paid for this one year loan was
i = ($650)(0.08)(1) = $52
which does not represent two equivalent expressions 51 MAFS.6.EE.1.1 Which does not represent two equivalent expressions?
A.) 33=3·3·3
B.) 43=4·3
C.) 64=6·6·6·6
D.) 52=5·5
Answer: B
Explanation: 4 times 3 is equivalent to 12 and the question was asking for exponents. A has 3 multiplied by itself 3 times so that is correct. C has 6 multiplying itself 4 times so that would be correct. D has 5 Multiplying itself 2 times so that would be correct. The only one that does not represent equivalency would be B.
m – 4.21 = 87.654
What is the value of m?
Answer:
M = 91.864
Step-by-step explanation:
87.654 + 4.21 = 91.864
[tex]87.654\\+4.210\\\\----\\\\91.864[/tex]
hope this helped.