1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
quester [9]
3 years ago
13

Enlarge the triangle by scale fador 3 using the blue det as the centre of enlargement

Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

Step-by-step explanation:

Let the blue point is located at the origin.

Therefore, coordinates of the vertices of the given triangle ABC will be,

A(2, 1), B(2, -1) and C(3, -1)

Rule for the dilation of a point (x, y) by a scale factor 'k' will be,

(x, y) → (kx, ky)

By applying this rule, coordinates of the image points of the vertices will be,

A(2, 1) → A'(2k, k)

          → A'(6, 3) for (k = 3)

B(2, -1) → B'(6, -3)

C(3, -1) →C'(9, -3)

You might be interested in
Can someone help me solve this differentiation/tangent problem?
nirvana33 [79]
A)

\bf g'(x)=\stackrel{product~rule}{2x\cdot f(x)+x^2\cdot  f'(x)}\quad 
\begin{cases}
x=5\\
f(5)=5\\
f'(5)=5
\end{cases}
\\\\\\
g'(5)=2(5)\cdot f(5)+(5)^2\cdot f'(5)\implies g'(5)=50+500\\\\\\ g'(5)=550\\\\
-------------------------------\\\\
g(5)=(5)^2f(5)\implies g(5)=125
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}
\begin{cases}
x=5\\
y=125\\
\stackrel{m}{g'(5)}=550
\end{cases}\implies y-125=550(x-5)
\\\\\\
y-125=550x-2750\implies y=550x+400



b)

\bf h'(x)=\stackrel{quotient~rule}{\cfrac{f'(x)(x-6)~~-~~f(x)\cdot 1}{(x-6)^2}}\quad 
\begin{cases}
x=5\\
f(5)=5\\
f'(5)=5
\end{cases}
\\\\\\
h'(5)=\cfrac{f'(5)(5-6)~~-~~f(5)\cdot 1}{(5-6)^2}
\\\\\\
h'(5)=\cfrac{5(-1)-5}{(-1)^2}\implies h'(5)=-10\\\\
-------------------------------\\\\

\bf h(5)=\cfrac{f(5)}{5-6}\implies h(5)=\cfrac{5}{-1}\implies h(5)=-5
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\quad 
\begin{cases}
x=5\\
y=-5\\
\stackrel{m}{-10}
\end{cases}\implies y-(-5)=-10(x-5)
\\\\\\
y+5=-10x+50\implies y=-10x+45
3 0
4 years ago
Simplify the expression -3(-4y+3) -(3y-4)-4y+7 H E L P
7nadin3 [17]

12y-9-(3y-4)-4y+7 =

(9y-5)-4y+7 =

(5y-5)+7=

5y+2


8 0
4 years ago
How do I solve for X?
Vesna [10]

8x + 21x - 12 + 10x + 9 = 270 \\ \Leftrightarrow 39x = 273\Leftrightarrow x = 7

5 0
3 years ago
Please help I appreciate it
inysia [295]
I would say C bar graph.
6 0
2 years ago
Read 2 more answers
Please help me with this
Mamont248 [21]
Since ABC is equal to DCB, you can use the angles given in triangle ABC in triangle DCB. Since the sum of the angles in a triangle is 180, the equation would be this:
90+46+x=180 

Solve for x in that and you're good :)
7 0
4 years ago
Read 2 more answers
Other questions:
  • Even number between 3 and 9
    9·2 answers
  • Write an equation of a line that passes through the point (-2,3) and is parallel to the line x=4
    12·2 answers
  • Preston reads for 20 minutes and practices math facts for 5 minutes each night after several days you practice math facts for 45
    14·2 answers
  • Write -0.5 repeat as a fraction in simplest form
    11·1 answer
  • A car travels at an average speed of 64 mph. How many miles does it travel in five hours and 45 minutes
    9·1 answer
  • In the diagram below xy and yz are tangent to o what is the measure of xwz
    7·2 answers
  • I need help to solve
    6·2 answers
  • Morgan and Kira have a number of jelly beans in a ratio 5:3. If Morgan and Kira have a total of 64 jelly beans, how many does Ki
    5·1 answer
  • A cylinder has a height of 14 yards and a radius of 9 yards. What is its volume? Use ​ ≈ 3.14 and round your answer to the neare
    8·1 answer
  • The radius r of a sphere is 6 units. find the volume of a sphere right your answer in terms of π
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!