Answer:
There is a dilation and the scale factor is 4
Step-by-step explanation:
The details that complete the question are:
△ABC
A(2, 5), B(6, 10), C(9, −1)
△A′B′C′
A′(0.5, 1.25), B′(1.5, 2.5), C′(2.25, −0.25)
Checking if there is dilation or not
To do this, we make use of the following scale factor (k) formula:
[tex]k = \frac{Original}{Image}[/tex]
Using A and A'
[tex]k = \frac{A}{A'}[/tex]
[tex]k = \frac{(2,5)}{(0.5,1.25)}[/tex]
Factorize the numerator
[tex]k = \frac{4(0.5,1.25)}{(0.5,1.25)}[/tex]
[tex]k = 4*\frac{(0.5,1.25)}{(0.5,1.25)}[/tex]
[tex]k = 4 * 1[/tex]
[tex]k =4[/tex]
Using B and B'
[tex]k = \frac{B}{B'}[/tex]
[tex]k = \frac{(6,10)}{(1.5, 2.5)}[/tex]
Factorize the numerator
[tex]k = \frac{4(1.5, 2.5)}{(1.5, 2.5)}[/tex]
[tex]k = 4*\frac{(1.5, 2.5)}{(1.5, 2.5)}[/tex]
[tex]k = 4 * 1[/tex]
[tex]k =4[/tex]
Using C and C'
[tex]k = \frac{C}{C'}[/tex]
[tex]k = \frac{(9, -1)}{(2.25, -0.25)}[/tex]
Factorize the numerator
[tex]k = \frac{4(2.25, -0.25)}{(2.25, -0.25)}[/tex]
[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]
[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]
[tex]k = 4 * 1[/tex]
[tex]k =4[/tex]
The above shows that k is 4 in all cases.
Hence, there is a dilation and the scale factor is 4
which algebraic expression represents the word expression "three times the square of a number, n, subtracted from 54. ANSWER ASAP
what is the
area of 3in 4in 5in
Answer:
60inches
Step-by-step explanation:
3 times 4 equals 12. 12 times 5 equals 60. so the volume should be 60 inches.
Answer:
60in squared
Step-By-Step explination:
A= L x W x H
A= 3 x 4 x 5
A= 12 x 5
A = 60in
4
What is the result of 2-10?
.
1
5
Answer:
-3.14530027393739338363829263839
-Step-by-step explanation:
2. Find the vector equations of the following lines:
a. A=(6,5,7),m=2i+5j–k
b. A=(8,6,2),B=(3,4,1)
Answer:
a) The vector equation
[tex]AB^{-} = -4i^{-} -0j^{-} -8k^{-}[/tex]
b) The vector equation
[tex]AB^{-} = -5i^{-} -2j^{-} -k^{-}[/tex]
Step-by-step explanation:
Step(i):-
a)
Given that the points are A( 6,5,7) and B = m = 2i+5j-k
OA = 6i+5j+7k and OB = 2i+5j-k
AB = OB-OA
= 2i+5j-k - (6i+5j+7k)
= 2i -6i +5j-5j-k-7k
= [tex]-4i^{-} -0j^{-} -8k^{-}[/tex]
b)
Given that the points are A( 8,6,2) and B = (3,4,1)
OA = 8i+6j+2k and OB = 3i+4j+k
AB = OB-OA
= 3i+4j+k -(8i+6j+2k)
= 3i -8i +4j-6j+k-2k
= [tex]-5i^{-} -2j^{-} -k^{-}[/tex]
For his mother's birthday, Paulo wants to enlarge a 3- by 5-inch photo to an 18- by 30- inch photo. what is the scale factor of the dilation?
Answer:
6
Step-by-step explanation:
It is a 6 inch scale factor because if you multiply 5x6 you would get 30 and if you multiply 3x6 you would get 18 so 6 is the answer.
substitute this equation x+3y=18 & -x-4y=-25
Answer:
{x,y} = {3/7,-43/7}
Step-by-step explanation:
System of Linear Equations entered :
[1] x + 3y = -18
[2] -x + 4y = -25
Graphic Representation of the Equations :
3y + x = -18 4y - x = -25
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = -3y - 18
// Plug this in for variable x in equation [2]
[2] -(-3y-18) + 4y = -25
[2] 7y = -43
// Solve equation [2] for the variable y
[2] 7y = - 43
[2] y = - 43/7
// By now we know this much :
x = -3y-18
y = -43/7
// Use the y value to solve for x
x = -3(-43/7)-18 = 3/7
Solution :
{x,y} = {3/7,-43/7}
What is the area of the composite figure?
7 yds;
12 yds.
18 yds.
Please Solve so i can complete!!!!!!!! Quick Fasts
58 plus what equals 180
Answer:
answer 122.............................
Answer:
180 - 58 = 122 your awser will be 122
In this problem, a, b, c, and d are nonzoro integers.If a/b is added to x, the sum is c/d Which statement
can be used to prove that x must be a rational number?
What is the volume of the pyramid?
Answer: 484
Step-by-step explanation:
12x11x11=1,452
1,452/3=484
The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Answer:
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Step-by-step explanation:
Let the scale be [tex]4\,in\,:\,5\,ft[/tex] and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ([tex]r[/tex]), measured in inches per feet, is equivalent to the following rational number:
[tex]r = \frac{4\,in}{5\,ft}[/tex]
We can convert each length by dividing it by scale factor. That is:
Length
[tex]l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]l' = 20\,ft[/tex]
Width
[tex]w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]w' = 31.25\,ft[/tex]
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Solve the system of linear equations by substitution.
y = -2x + 10
y = x +1
Step-by-step explanation:
y=14
y=1
thats the answer.
In the triangle XYZ, the measure of ∠XYZ is 104°, and the measure of ∠YZX is 19°. What is the measure of ∠ZXY?
Answer:
∠ZXY = 57°
Step-by-step explanation:
According to angle sum property of a triangle, sum of all the angles of the triangle is [tex]180[/tex]°.
In ΔXYZ,
∠XYZ + ∠YZX + ∠ZXY = 180°
Put ∠XYZ = 104°, ∠YZX = 19°
104° + 19° + ∠ZXY = 180°
123° + ∠ZXY = 180°
∠ZXY = 180° - 123°
∠ZXY = 57°
Therefore,
∠ZXY = 57°
Answer:
57
Step-by-step explanation:
Solve for x.
(x + 10)°
(4x - 35)°
Answer:
x = 15
Step-by-step explanation:
x+10=4x−35
x+10−4x=4x−35−4x
−3x+10−10=−35−10
−3x=−45
x = 15
a) 82
b) 42
c) 98
d) 70
Answer:
option d.
let the two angle of mnp be x and y
in the trapezoid NO and MP are parallel.
so the 28° = y and 42°=x(by alternate interior angle)
so the angle mnp= x+y
angle mnp=28°+42°=70°
In ARST, the measure of T=90°, ST = 7.7 feet, and RS = 9.7 feet. Find the measure
of R to the nearest degree.
9.7
7.7
X
T
R
Answer:
Submit Answer
Answer: 53
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
need the answer now will make brainleist
Answer: lolbmfb and Dickerson’s testified ok if do add bcfgvdr
Step-by-step explanation:
Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's actual height is 4 feet, 2 inches. Should Clare's or the doctor's measurement be considered the actual height?
Answer: The Doctor's.
Step-by-step explanation:
Claire's estimate was simply that, an estimate. The doctor's measurement on the other hand is the actual height of her brother because he actually got measured.
This means that the doctor's measurement is more accurate and would make more sense to be used.
Hakeem left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Hakeem is xx minutes after he left his house, until he got back home.
Answer:
where is the pic of the graph?
please help me with this question I'll follow u
Answer:
7/5
Step-by-step explanation:
it is 2/7 more than what it was (5/5)
There are 32 students in the class. Of the class 3/8 of the students bring their own lunch. How many students bring their own lunch?
8x8x8=_______=_______
Answer:
8*8*8= 8^3= 512
Step-by-step explanation:
Answer:
8x8x8= 8^3 = 512
Step-by-step explanation:
Hope this helps
Unit Cost for 500
Which is the better buy? Find each unit cost.
A 12-oz box of Honeycomb cereal for $4.32
Or
Chea
moviex:
COMB
A 16-oz box of Cheerios for $5.92
All faces of the wooden chest will be painted except for the bottom.Find the area to be painted,in square inches.
Answer:32 square inches
Step-by-step explanation:
An 11-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 14 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
14
11
?
Answer:
8.66 m
Step-by-step explanation:
Given that,
The distance from the top of the building to the tip of the shadow is 14 m
The height of the building is 11 m.
We need to find the length of the shadow. we can see that the length of the shadow forms the base of the triangle.
The distance from the top of the building to the tip of the shadow form hypotensue and height of the building forms perpendicular. So, we can use Pythagoras theorem to find the base.
So,
[tex]H^2=b^2+h^2\\\\b^2=H^2-h^2\\\\b=\sqrt{14^{2}-11^{2}}\\\\b=8.66\ m[/tex]
So, the length of the shadow is 8.66 m.
A rectangle has length 6 cm and width 4 cm. Give the length and width of another rectangle with the same area but a different perimeter.
Answer:
length could be 8 cm and width would be 3 cm and that would have a perimiter of 24 cm also
Is 15/60 equivalent to 1/4
Answer: Yes
Step-by-step explanation:
15/60 divided both by 15:
15/15=1 and 60/15=4
Answer:
yes
Step-by-step explanation:
15/60 divided by 15/15 = 1/4, or you could day that 15/60 simplified = 1/4, making the answer yes
Solve for q.
7(q + 7) = 5q + 59
Answer:
5.
Step-by-step explanation:
7(q + 7) = 5q + 59
7q + 49 = 5q + 59
7q - 5q = 59 - 49
2q = 10
q = 5.
A circle has center (5, –4) and radius 8. Which gives the equation for the circle
Answer:
(x-5)^2 + (y+4)^2 =64
Step-by-step explanation: