Dilation involves changing the size of a shape (i.e. a circle)
The scale of dilation is 4
The circle passes through the origin.
So, one of the points is (0,0)
When dilated it passes through the point (4,0).
The scale factor (k) is calculated by calculating the distance between the new point and the old point.
So, we have:
[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]
This gives
[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]
Simplify
[tex]\mathbf{k = \sqrt{16 +0}}[/tex]
Add 16 and 0
[tex]\mathbf{k = \sqrt{16}}[/tex]
Take the square root of 16
[tex]\mathbf{k =4}[/tex]
Hence, the scale of dilation is 4
Read more about dilation at:
https://brainly.com/question/13176891
3x-4y=
3x−4y=
\,\,9
9
-5x+4y=
−5x+4y=
\,\,-23
−23
Answer: (7,3)
Step-by-step explanation:
[Please check]: I decoded the equations as follows:
3x-4y=9 and −5x+4y=-23
We can solve this by either of two methods: Algebra and graphing.
Algebra:
Add the two equations:
3x-4y=9
−5x+4y=-23
-2x = -14
x = 7
Use x=7 to solve for y:
3x-4y=9
3(7)-4y=9
21 -4y = 9
-4y = -12
y = 3
----
The solution is (7,3)
======
Graphing:
See the attached graph. The lines intersect at (7,3)
Question
1. Put the following equation in Standard Form:
y=-1/3x + 4
Rewrite the following equation in slope-intercept form.
y − 3 = 12( x + 4)
Answer:
y=12x+51
Step-by-step explanation:
*ONLY* 44-47 please help meeee
Answer:
44 - 47 is -3 if thats what youre asking
Step-by-step explanation:
The scale of a map is 1 cm : 17 km. Find the actual distance corresponding to the map distance.
1:
The distance on the map is 2.5 cm.
The actual distance is «m.
Answer:
I believe its 42.5 or 42500
Step-by-step explanation:
if its not right im so so so so sorry
For every 30 minutes she dances, Nell stretches for 10 minutes. What is the ratio value of the time Nell dances to the
time she stretches?
3
10
10/30
30
Pls answer correct
Answer:
30
Step-by-step explanation:
Answer:
A. 3Step-by-step explanation:
For every 30 minutes she dances, Nell stretches for 10 minutes
Ratio:
Dance / Stretch = 30 min / 10 min = 3/1 = 3lf the volume of a sphere= 4.5π cm³ then the radius length is .....?
Answer:
Radius = 3.232 cm to the nearest thousandth.
Step-by-step explanation:
Volume of a sphere = 4/3πr^3, so:
45π = 4/3πr^3 π is common to both sides, so:
45 = 4/3 r^3
r^3 = 45 * 3/4
r^3 = 33.75
r = 3.232 cm.
Ginny factored 6x2 – 31x – 30 as shown:
ac = –180 and b = 31
36(–5) = –180 and 36 + (–5) = 31
6x2 + 36x – 5x – 30
6x(x + 6) – 5(x + 6)
(x + 6)(6x – 5)
Determine if Ginny factored correctly. If not, explain where she made an error.
Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
Ginny was correct until step 3 when she used 36 and –5 as the coefficients of x.
Ginny was correct until step 4 when she incorrectly factored the GCF from 5x – 30.
Ginny factored the trinomial correctly.
Answer:
(a) Ginny made a mistake in step 1 when she identified b = 31. It should be b=–31.
Step-by-step explanation:
The value of b is the coefficient of x. In the given quadratic expression, the coefficient of x is -31, so Ginny should have started with b = -31 in step 1.
Answer:
A
Step-by-step explanation:
Of 14 possible books you plan to take 8 with you on vacation how many possible coalitions of 8 could you have?
Answer:
let me think about this
Step-by-step explanation:
question i may help
This is a combination equation:
14C8 = 14!/8!(6!) = 3003
Answer: 3003
HELPP HURRYYYY !!
have to be turned in soon
Answer:
Faster the deadline is so close let me sing
Super idol di show lung domini ding shaw
Super idol di show lung domini ding shaw
Super idol di show lung domini ding shaw
The function f(x) = RootIndex 3 StartRoot x EndRoot is reflected over the x-axis to create the graph of g(x) = Negative RootIndex 3 StartRoot x EndRoot. Which is the graph of g(x)? On a coordinate plane, a cube root function goes through (negative 2, negative 8), has an inflection point at (0, 0), and goes through (2, 8). On a coordinate plane, a cube root function goes through (negative 2, 8), has an inflection point at (0, 0), and goes through (2, negative 8). On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2). On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
Answer: On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
Step-by-step explanat hope that help
The function is
[tex]\\ \sf\longmapsto f(x)=\sqrt[3]{x}[/tex]
Graph attached
Which equation represents a line which is perpendicular to the line 5x+2y=12?
A. y = -5/2x + 2
B. y = -2/5x - 4
C. y = 5/2x + 3
D. y = 2/5x - 3
I need the answer please and thank you
Answer: First do 145 - 25, which is 120. Then do 120 ÷ 15 = 8. Therefore the slope intercept is y ÷ 15 = x. Their voyage will last 8 days.
Explanation: Brainliest please
What is the range of this function?
4
-
co
8
7
18
-15
O A. {-4, -1, 15, 18}
O B. {-4,1,7,15}
OC. {-1,4, 8, 18}
O D. {-4, -1,1,4,7,8, 15, 18}
Answer:
Not sure but I think it's B.
How much money should Annika give Susan?
Answer:
it depends on how much Annika has and if she is willing to give Susan money
Step-by-step explanation:
I could have answered properly but i do not understand the question it just states that, look below
How much money should Annika give Susan?
BRAINLIEST
can I get some help on this
Answer:
1.
Sin Q=14/50=7/25
Cos Q=PQ/50
Tan Q=14/PQ
Sin R=PQ/50
Cos R=14/50=7/25
Tan R=PQ/14
2. Tan (48) = x/14, x~~15.549
3. Sin (67) = x/29, x~~26.695
Step-by-step explanation:
REMEMBER SOHCAHTOA (Sin=Opp./Hyp., Cos=Adj./Hyp., Tan=Opp./Adj.)
1.
Sin Q=14/50=7/25
Cos Q=PQ/50
Tan Q=14/PQ
Sin R=PQ/50
Cos R=14/50=7/25
Tan R=PQ/14
2. Tan (48) = x/14, x~~15.549
3. Sin (67) = x/29, x~~26.695
What is the vertex of Y=x^2+5x-7
Answer:
the vertex of this parabola is at (5/2, 47/4)
Step-by-step explanation:
Y=x^2+5x-7 is written in 'standard form' for a quadratic. Comparing this to
y = ax^2 + 5x - 7, we see that a = 1 and b = 5.
-b
The formula for the x-coordinate of the vertex is x = --------
5 2a
which in this case has the value x = ------- = 5/2
2(1)
Now use the quadratic formula to find the y-value of the vertex:
y = (5/2)^2 + 5(5/2) - 7, or
y = 25/4 + 25/2 - 7, or
y = 11.75 or 11 3/4
Thus the vertex of this parabola is at (5/2, 47/4)
Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,..
d(1)=
d(n)=d(n-1)+
Answer:
d(1) = 8
d(n) = d(n-1) + (-13)
2) Find the area and perimeter of a semi -circular disc whose radius is 10cm. (take π = 3.14)
Answer:
Area =Pi r2=3.14×10x10
=3.14×100cm2
=3.14cm2
Perimeter = 2 pi r
=2 ×3.14×10
=6.28cm
Or =Pi d
= 3.14 ×20cm
=62.8cm
Note:R means radius
D means diameter
radius is half of a diameter e.g radius is10 and diameter is 20
I can recommend you watching yt videos it helped me alot
hoo this helps:)
Does anyone one have the vocabulary words and definitions for this iready lesson? (Pls help this is graded)
Answer:
absolute value
coefficient
constant
counterexample
equation
expression
evaluate
inequality
I hope that helps maybe give brainliest if it does!
Love,
-Banana
simplify 2 by 5 into 4 by 7 + 21 by 35
[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]
Answer:[tex] \frac{29}{35} [/tex]
Hope it helps.
Do comment if you have any query.
cuantos segundos tiene una hora
Answer:
3600
Step-by-step explanation:
Answer:
3600
Step-by-step explanation:
verificando :)
Is 4 16/18 simplified and what is the simplified version
Answer:
no
4 16/18 = 88
88 simplified is 44/9 ?
Would it be easier for Dana from problem 3-68 to find a single 12-foot board of clear wood rather than four clear 3-foot pieces? Use a simulation to estimate the average number of 12-foot boards he would have to consider.
HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 6/5
Step-by-step explanation:
Slope = Rise/ Run
=6/5
What percentage of a dollar is the value of 5 quarters and 1 dime?
Answer:
135%
Step-by-step explanation:
1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.
n/4 = -11
what does the N =
Answer:
N = -44
Step-by-step explanation:
have a great day! :)
Answer:
n=44
Step-by-step explanation:
n/4=11/1
crossmultiply
n=4×11=44
?.....helpp lolllll helpppp
Answer: the answer is F
Step-by-step explanation: the pictures that are used for the yearbook are added to the picture for the paper which results in 450, the 270 is on top because it’s the pictures for the yearbook
A man and his son are in the living room watching TV when the son asks his father a question.
"Dad, why is my sister's name Teresa?"
The dad thinks for a little bit and answers him.
"Well your mother loves Easter, and when you rearrange the letters in Teresa, you get Easter."
The son understands and says,"Thanks, dad."
The dad replies with,"No problem, Alan"
When we arrange Alan it brings out a dirty word
Answer:
so what is the q
Step-by-step explanation:
a 20 pound platter of cookies costs $77. the platter is a mix of peanut butter that costs $4 per pound, sugar that costs $3 per pound, and chocolate chip that’s costs $4.50 per pound. there are two more pounds of sugar cookies than peanut butter. how many pounds of sugar cookies are on the platter?
Answer: 7 pounds of sugar cookies
X+Y+Z = 20
4x + 3y +4.50z = 77
-x + y + 0z = 2
X+Y+Z = 20 4x + 3y + 4.50z = 77
-x + y +Oz = 2 (-x + y + 0z = 2) x 4 (-4x +4y+0z=8)
Add the problems vertically
0x + 2y + z = 22 0x +7y + 4.50 z = 85
Rewrite the problem
2y + z = 22 (Times 7)
7y + 4.50 = 85 (Times -2)
14y +7z = 154
-14y - 9z = -170
Add Vertically
-2z = -16
divide by -2
z = 8
there are 8 Chocy Chips
if we plug 8 for z in 2y + z = 22 we get y = 7
making 5 be X (Cause X+Y+z = 20)
8 Chocy
7 Sugar
5 Peanut butter
-- Gage Millar, Alg 1/2 tutor