When the Center of dilation is inside the figure
The original figure is closer to the center of dilationThe dilated figure is closer to the the center of dilationWhen the Center of dilation is outside the figure
3. The original figure is closer to the the center of dilation
4. The dilated figure is closer to the center of dilation
The center of dilation is the fixed point from which the distances in a dilation are measured
The scale factor is ratio of the side lengths of an original figure or preimage to the side lengths of the newly formed image
Center of dilation is inside the figure
Where the center of dilation is inside the figure, and the scale factor is larger than 1, k = 3 > 1, we have;The distance of a point on the dilated figure, including the distances from the center of dilation is 3 times the distances of points on the original image from the center of dilation
Therefore, the original figure has a shorter distance to and is therefore closer to the the center of dilation than the dilated figure
2. Where the center of dilation is inside the figure, and the scale factor is a fraction between 0 and 1 k = 1/2, we have;
The distance of a point on the dilated figure, including the distances from the center of dilation is 1/2 times the distances of points on the original image from the center of dilation
Therefore, the dilated figure has a shorter distance to and is therefore closer to the the center of dilation than the original figure
Center of dilation outside the figure
3. Given that the center of dilation is outside the figure and the scale factor is larger than 1, k = 120% = 120/100 = 1.2 > 1, we have;
The distance of the dilated figure from the center of dilation is 120% of the distance of the original figure from the center of dilation, therefore, the original figure is closer to the the center of dilation than the dilated figure
4. Where the center of dilation is outside the figure and the scale factor is a fraction between 0 and 1, k = 0.1 < 1
The distance of the dilated figure from the center of dilation is only 0.1 times the distance of the original figure from the center of dilation, and therefore, the dilated figure is closer to the center of dilation
Learn more about scale factors and center of dilation here;
https://brainly.com/question/12162455
if the radius of a sphere is7 cm find its volume
Answer:
1437.33 cm square
Step-by-step explanation:
Now we will use the frmula to et the volume of a sphere
volume of sphere is
4÷3pi r cube
where r is the radius of the sphere
Which sequence is arithmetic? Check all that apply.
•0, 8, 16, 24
•7, 12, 17, 22
•6, 12, 24, 48
•8, 14, 20, 26
•11, 18, 23, 30
•12, 17, 22, 29
•15, 30, 60, 120
Answer:
Sequences 1,2, and 4 are arithmetic.
Step-by-step explanation:
Each term in sequence 1 gets added by 8.
Each term in sequence 2 gets added by 5.
Each term in sequence 4 gets added by 6.
Solve the simultaneous equation, will give out brainliest answer
a=bcd
a+b=cd
a+b+c=d
a+b+c+d=1
Answer:
a = 1/42, b = 1/7, c = 1/3 and d = 1/2
Step-by-step explanation:
a = bcd (1)
a + b = cd (2)
a + b + c = d (3)
a + b + c + d = 1 (4)
Substituting equation (3) into equation (4), we have
a + b + c = d (3)
a + b + c + d = 1 (4)
(a + b + c) + d = 1 (4)
d + d = 1 (5)
2d = 1
dividing through by 2, we have
d = 1/2
Taking equation (2) and equation (3), we have
a + b = cd (2)
a + b + c = d (3)
substituting equation (2) into equation (3), we have
a + b = cd (2)
(a + b) + c = d (3)
cd + c = d
Factorizing, we have
c(d + 1) = d
dividing through by d + 1, we have
c = d/(d + 1)
substituting d = 1/2 into the equation, we have
c = d/(d + 1)
c = 1/2 ÷ (1/2 + 1)
c = 1/2 ÷ 3/2
c = 1/2 × 2/3
c = 1/3
Taking equations (1) and (2), we have
a = bcd (1)
a + b = cd (2)
Substituting equation (1) into (2), we have
a = bcd (1)
a + b = cd (2)
bcd + b = cd (2)
Factorizing, we have
b(cd + 1) = cd
dividing through by (cd + 1), we have
b = cd/(cd + 1)
substituting the values of c and d into the equation,, we have
b = cd/(cd + 1)
b = 1/3 × 1/2/(1/3 × 1/2 + 1)
b = 1/6/(1/6 + 1)
b = 1/6 ÷ 7/6
b = 1/6 × 6/7
b = 1/7
Since a = bcd, substituting the values of b,c and d into the equation, we have
a = bcd
a = 1/7 × 1/3 × 1/2
a = 1/42
So, a = 1/42, b = 1/7, c = 1/3 and d = 1/2
Can anyone help me with this?
I thing it lies on the negativity side of the number line between -2,24
Please friends give me the answer with steps .
Brianna's Bakery offers 3 flavors of bagels. Customers can choose from plain, cinnamon, or blueberry bagels. Yesterday, a customer ordered 144 bagels for a company meeting. The order was for twice as many blueberry bagels as plain bagels and 3 times as many cinnamon bagels as blueberry bagels.
How many cinnamon bagels did the customer order
Answer:
96 darling
Step-by-step explanation:
youre gonna take all the times this was teice as mich as that
like this:blueberrybagel twice as much 2
than plain bagels 1
cinnamonbags 3 times as much than
blueberry bagels 2×3= 6+
=9
EACH portion contains144:9=16 bagels
blueberry ones16×2=32
plain ones16×1=16
cinnamon ones 3×32=96
Find an explicit rule for the nth term of the sequence.
The second and fifth terms of a geometric sequence are 20 and 1280, respectively.
Step-by-step explanation:
in a geometric sequence there is a constant factor x that is multiplied with every previous term to create the next one.
a2 = 20
a5 = 1280 = a2×x×x×x = a2×x³ = 20x³
64 = x³
x = 4
=> a1 = 5
therefore
an = an-1×4 =
[tex]a1 \times {4}^{n - 1} [/tex]
n > 1
A system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3).
On a coordinate plane, a line goes through (0, 3) and (2, 5).
What is the solution to the system of equations?
(–1, 2)
(1, 3)
(8, 11)
(9, 12)
i really dont get this at all can someone help me and explain
Answer:
(8,11)
Step-by-step explanation:
1st line
y = x+ 3
We need to find the equation of the other line
We have two points (3, 1) and (4, 3)
Slope
m = (y2-y1)/(x2-x1)
= ( 3-1)/(4-3)
= 2/1 = 2
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y =2x+b
Using the point (4,3)
3 = 2(4)+b
3 = 8+b
3-8=b
-5 =b
y = 2x-5
We have 2 lines
y =x+3 and y = 2x-5
Setting them equal to each other
x+3 = 2x-5
Subtract x from each side
x+3-x = 2x-5-x
3 = x-5
Add 5 to each side
3+5 =x-5+5
8=x
Now we can find y
y =x+3
y = 8+3
y=11
Answer:
c (8,11)
Step-by-step explanation:
HELP ME PLS I NEEDA GET THIS RIGHT PLS PLS ITS PYTHAGOREAN THEOREM
2.8 mm
2mm^2=4mm
4mm+4mm = 8mm
square root of 8mm is 2sqrt2
2sqrt 2 is 2.8 mm
The price of 5 kg of rice is ₹83.75. How many kilograms of rice can you buy for ₹670?
Answer:
40 kg
Step-by-step explanation:
[tex]\frac{5}{83.75} :\frac{y}{670}[/tex]
y · 83.75 = 5 · 670
83.75y = 3350
83.75y ÷ 83.75 = 3350 ÷ 83.75
y = 40
The amount of rice you can buy for ₹670 is given by the equation
A = 40 kilograms
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of rice for ₹670 be A
Now , the equation will be
The amount for 5 kg of rice = ₹ 83.75
So , the amount for 1 kg of rice = amount for 5 kg of rice / 5
The amount for 1 kg of rice = 83.75 / 5
The amount for 1 kg of rice = ₹ 16.75
So , the amount of rice for ₹ 670 = 670 / amount for 1 kg of rice
The amount of rice for ₹ 670 = 670 / 16.75
The amount of rice for ₹ 670 = 40 kilograms
Therefore , the value of A is 40 kilograms
Hence , the amount of rice is 40 kg
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Please help explanation if possible
Answer:
I don't know ask to your teacher
Which expressions in the picture are equivalent to (v^-1)^1/9? Choose all answers that apply:
Answer:
All of them: A, B, and C
Step-by-step explanation:
Answer:
A, B, and C
Step-by-step explanation:
Recall the exponent property [tex](a^b)^c=a^{(b\cdot c)[/tex].
Therefore,
[tex](v^{-1})^{1/9}=(v^{1/9})^-1=v^{-1/9}[/tex]
In addition, fraction exponents can be written as radicals such that:
[tex]a^{b/c}=\sqrt[c]{a^b}[/tex]
Thus, [tex](\sqrt[9]{v})^{-1}=(v^{1/9})^{-1}=(v^{-1})^{1/9}[/tex].
Therefore, answer choices A, B, and C are correct.
If the sum of seven odd consecutive numbers is 231, find the middle number.
Answer:
33
Step-by-step explanation:
(1+x) + (3+x) + (5+x) + (7+x) + (9+x) + (11+x) + (13+x) = 231
7x + 49 = 231
7x = 231 - 49
7x = 182
x = 182/7
x = 26
To find the middle number;
7 + x
= 7+26
= 33
Find the length of the segment indicated. Round to the nearest tenth if necessary.
Answer:
x=5
Step-by-step explanation:
x is the length of the line segment from the center to the boderline of circle. So x=5
PLEASE HELP! WILL MARK BRAINLIEST
Answer:
Corresponding angles postulate
Step-by-step explanation:
<3 and <7 are corresponding angles and if corresponding angles are equal, the lines are parallel.
I WILL GIVE BRAINLIEST IF TWO PEOPLE ANSWER! PLEASE PUT WHAT X IS, AND PLEASE PUT THE REASONS OF HOW YOU DID IT, FOR INSTANCE, SUBSTITUTION, OR ALTERNATE INTERIOR ANGLES
Answer:
14°
Step-by-step explanation:
4x + 32 + 64 = 180 => x = 14 (°)
Graph the solution to the following system of inequalities.
y-2x-9
y<2x+7
Answer:
Tb bight by icing I jb Yves j by by by navy by iffy i by by by
HELP ASAP ILL GIVE BRAINLIST
t/f Elimination will give you an exact answer to a system of equations.
t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.
Answer:
TRUE Elimination will give you an exact answer to a system of equations.
FALSE If substituting the test point produces a false solution, we shade on the opposite side of the line.
Which of the following are equations for the line shown below? Check all that
apply.
(-2,5)
5+
-5
5
(2,-3)
A. Y-5 = -2(x + 2)
B. y = -2x + 1
O c. y + 3 = -2(x - 2)
D. y = -2x - 7
c) y= -2x +1
Step-by-step explanation:
y= -2x +1
m= (- 3 -5)/2+2
= -2
c=1
y-(-3)= -2(x-2)
y= -2x +4 -3
y = -2x+1
Complete each statement. If the triangles cannot be shown to be congruent from the information given, leave the triangles name blank and write Cannot Be Determined (CNBD) in the spot for rule. ∆SAT ≅ ∆_____ By _____
Answer:
The answer is "[tex]\bold{\Delta LAW \cong \Delta WKL}[/tex]. By applying the ASA congruence postulate rule".
Step-by-step explanation:
[tex]\Delta LAW\ and\ \Delta WKL\\\\AW\perp WL\ and \ WL\perp KL\\\\\angle AWL = \angle WLK .......[each \ 90^{\circ}]\\\\WL=WL.......\ [Reflexive \ property]\\\\\angle ALW = \angle KWL........\text{give in picture}\\\\[/tex]
[tex]\therefore,[/tex] by ASA postulate of congruence
[tex]\Delta LAW \cong \Delta WKL\\\\[/tex]
The ASA postulate states that when two angles on the included side with one triangle were congruent to two angles on the included side of the second triangle, then the triangles are said to have been congruent.
If onee moderator was typing why this website is bad every 20 minutes and the other was trying to update this site every 30 minutes by what time will the one updating the site find out about the insults
Answer: 60 minutes or 1 hour.
Step-by-step explanation:
Since one moderator was typing every 20 minutes while the other moderator was typing every 30 minutes, then the time the other one will find about the insult simply means that we should find the lowest common multiple of 20 and 30. This will be:
20 = 20, 40, 60, 80, 100, ..
30 = 30, 60, 90, 120 .....
Here, we can see that the lowest common multiple is 60. Therefore, the other one will find about the insults in 60 minutes.
i need alot of help in this
Not the best way to do it, but it should look something like this.
Latoya's annual salary is $26,000. A total of $7352.24 will be deducted for taxes and health insurance. She will receive her paycheck monthly in 12 equal installments. How much will she get paid with each paycheck?
Step-by-step explanation:
Lets translate this word problem into math.
"Latoya's annual salary is $26,000" = We start with the number 26,000
"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24
"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12
"How much will she get paid with each paycheck?" = "Find answer pls thx"
To put it all together...
[tex]\frac{26,000-7,352.24}{12}[/tex]
Now all we have to do is solve!
[tex]\frac{26,000-7,352.24}{12}[/tex]
Subtract.[tex]\frac{18,647.76}{12}[/tex]
Divide.[tex]1,553.98[/tex]
Answer:
Latoya will get paid $1,553.98 with each paycheck.
2-6=? need help please
Someone please help me!!!
Answer:
<2 = 75°
<3 = 75°
Step-by-step explanation:
<2 = <6
2x+15 = 45+x
or, 2x-x = 45-15
or, x = 30
so, <2 = 30×2+15 = 75
<6 = 45+30 = 75
Answered by GAUTHMATH
need some help with this
Answer:
y = 2/3x + 1
Step-by-step explanation:
So, the equation they're looking for is slope and intercept right? I have my own way of doing it, but I'll show it to you too!
For slope: I remember rise/run. What this means is the rise which is how much you go up or down becomes the numerator (number on top of fraction) and the run which is how much you go left or right is the denominator (number on the bottom of the fraction.) What you are looking for to find this is the separation between the dots. If you look at the dot on the y, and the dot that is the closest one when you look at the top right, those are the two we are comparing. We chose those because it's easiest, and the answer choices have no negatives for the slope. Now, from the dot on the y, you have to go up 2, and go to the right 3 to get to the next dot. This makes the fraction 2/3. That's all!
(Not 100%) Intercept: For this, I look for where the dot on the y is. As you can see, it's located +1 above (0,0) That's all!
Hopefully this helps you! :)
Write an equation, in slope-intercept form, of the line that passes through the given point and satisfies the given condition. (-1, -4); perpendicular to y=2x+5
Answer:
y = -1/2x - 9/2
Step-by-step explanation:
Can someone explain this
Answer:
x=30/tan(22)
x= 74.2526056
Step-by-step explanation:
I need help I don't understand this.
Answer:
<1 = 64
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles for triangles
40 +<1 = 104
Subtract 40 from each side
<1 = 104 -40
<1 = 64
PLEASE HELP ASAP!!!!!Sunny earns $22.75 per week delivering newspapers. He worked as a delivery boy for 3 weeks. He also earned $32.75 last
month doing chores around the house. He spent $14.25 of his total earnings to download music on his mobile device. Sunny put
of the remaining money in his savings account. Sunny used the following steps to find the total money he put in his savings
5
account:
Step 1: [($22.75 + 3) + $32.75 - $14.25)
5
Step 2: [$44.25)
Step 3: $11.0625
In which step did Sunny first make an error? Use words to explain how Sunny can correct his error.
Answer:
error in step one
Step-by-step explanation:
Sunny earns $22.75 per week delivering. delivery boy for 3 weeks.
That means $22.75 x 3 not $22.75 + 3
He can correct his mistake by doing this:
Step 1: [($22.75 * 3) + $32.75 - $14.25] * 1/ 5
Step 2: [$86.75] *1/5
Step 3: $17.35
Answer:
putting this so the other might be brainliest!
Step-by-step explanation:
also, be extremely careful, you put the link for your school and your teachers name on the top of the photo! sorry if i sound creepy lol, but yeah :)
