Answer:
The image of the dilated polygon is attached below
Transformation is the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
Dilation is the increase or reduce in size of a figure by a factor k. If a point A(x, y) is dilated by a factor k about the origin, the new point is A'(kx, ky).
Let us assume that the polygon has vertices at A(0,0), B(3, 3) and C(-3, 3). If the polygon is dilated by a scale factor of 1/3 and center of dilation at (0, 0), the new vertices is at:
A'(0,0), B'(1, 1) and C'(-1, 1)
The graph of the polygon is attached.
(0, 6) and (2, 96) in exponential function
Answer:
If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
, and solve for b.
If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
. Solve the resulting system of two equations in two unknowns to find a and b.
Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
.
Step-by-step explanation:
Rachel's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?
Answer:
4 times
Step-by-step explanation:
there is 16 cups of water in a gallon
16/4=4
If x = -7 and y = 2, evaluate the following expressions
i) (4y)² – (2x)²
ii) 4y² - 2x²
Answer:i)16y^2−4x^2
ii) i don't know the other one sorry
Step-by-step explanation:
A garden swimming pool with a cuboidal shape is 8m long, 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it
Make n the subject of the formula
m = 5 n - 21
-----------------------------------------------------------
Can someone please help and explain!!
Incorrect or incomplete answers will be reported
Answer:
[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]
Step-by-step explanation:
To make "n" the subject of the formula, rearrange the formula so it begins with " n = "
To isolate the variable "n", you need to inverse the other terms on that side of the equation where "n" really is.
=> m = 5n - 21
there's a "-21" next to "5n", inverse of subtraction is addition, so add 21 on both sides of the equation.=> m + 21 = 5n - 21 + 21
=> m+ 21 = 5n
There's also a 5 attached to n, that means the multiplication of n with 5, the inverse of multiplication is division, so dividing both sides of the equation by 5[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]
how does the graph of y=Vx+2 compare to the graph of the parent square root function
Option c since the equation shifts 2 units vertically up compared to parent square root function
Solve the system by substitution. x=-y-9 6x-5y=1
Answer:
x= -64, y= 55
Step-by-step explanation:
x=-y-9
6(y-9)-5y=1
6y-54-5y=1
y=55
x=-55-9
x=-64
Answer:
{x=-4
{x= -5
Step-by-step explanation:
Substitute into one of the equations:6(- y -9) - 5y=1
Apply Multiplicative Distribution Law:- 6y-54-5y=1
Rearrange unknown terms to the left side of the equation:-6y -5y = 1+54
Combine like terms:- 11y= 1+54
Calculate the sum or difference:-11y=55
Divide both sides of the equation by the coefficient of variable:y= 55÷(-11)
Remove the parentheses:y = -55÷11
Calculate the product or quotient:y=-5
Substitute into one of the equations:x=-(-5)-9
Remove the parentheses:x=5-9
Calculate the sum or difference:x=-4
The solution of the system is:{x=-4
{x=-5.
A line's y-intercept is –9, and its slope is 1/6 .What is its equation in slope-intercept form?
Answer:
y = 1/6x - 9
Step-by-step explanation:
The slope-form intercept formula is y = mx + b
The diagram below shows two triangles.
Based on the diagram, which statements are true?
Select three that apply.
(Select all that apply.)
The two triangles are congruent since all isosceles right
triangles are congruent.
The two triangles are congruent since the corresponding
sides and angles are congruent.
The two triangles are congruent since a rotation can carry one
triangle onto the other triangle.
The two triangles are congruent since a reflection can carry
one triangle onto the other triangle.
Answer:
1st , 2nd , and 4th
Step-by-step explanation:
Please Help Im Doing A Test And Really Need The Answer!
Please no fake answer for points
Answer:
The last one (16+20+3+8)
Step-by-step explanation:
add up all the sides not including the 3 inside
Answer:
(16+20+3+8)
Step-by-step explanation:
The perimeter is the measurement on the outside of the shape.
so (3+16+20+8) = 47
hi,please explain your answer
have a nice day
Answer:
What grade are you my brother is good at this stuff
ASP please
What is the slope of the line on the graph
Answer: 6
Step-by-step explanation:
Let's look at two points on this line (1, 5), and (0, -1)
Using the slope formula ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex])
[tex]\frac{((5) - (-1))}{(1)-(0)}[/tex]
[tex]\frac{6}{1}[/tex]
Hope it helps :)
Answer:
Well you could count and use the Rise/Run method, or you could use the Slope formula (x2 - x1) / (y2 - y1)
From point (0, -1) to point (1, 6) would look like this
(1 - 0) / (6 + 1) = 1/7, so your slope is 1/7
Since you already have you y-intercept (where x is 0), your whole equation would be this:
y = 1/7x - 1
Find the value of x and 3x.
x=
3x=
Answer:
Step-by-step explanation:
Sum of all the angles of the polygon = (n -2) *180
= (6 - 2) * 180 = 4 *180 = 720
45 + 135 + 45 + 135 + x + 3x = 720
360 + 4x = 720
4x = 720 - 360
4x = 360
x = 360/4
x = 90
3x = 3*90 = 270
Which of the following is(are) the solution(s) to |11x +3 = 6 ?
can someone help please :)
Find the quotient. Use a model to help you divide
6
.
15
÷
5
=
A.
1.03
B.
1.23
C.
1.3
D.
1.2
Answer:
Step-by-step explanation:
6.15/5=1.23
The answer is B.
If you start with 85 milligrams of Chromium 51, used to track red blood cells, which
has a half-life of 27.7 days.
How long will it take for 90% of the material to decay?
About 92 days are taken for 90 % of the material to decay.
The mass of radioisotopes ([tex]m[/tex]), measured in milligrams, decreases exponentially in time ([tex]t[/tex]), measured in days. The model that represents such decrease is described below:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]m_{o}[/tex] - Initial mass, in milligrams.[tex]m(t)[/tex] - Current mass, in milligrams.[tex]\tau[/tex] - Time constant, in days.In addition, the time constant is defined in terms of half-life ([tex]t_{1/2}[/tex]), in days:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)
If we know that [tex]m_{o} = 85\,mg[/tex], [tex]t_{1/2} = 27.7\,d[/tex] and [tex]m(t) = 8.5\,mg[/tex], then the time required for decaying is:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]
[tex]\tau = \frac{27.7\,d}{\ln 2}[/tex]
[tex]\tau \approx 39.963\,d[/tex]
[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]
[tex]t = -(39.963\,d)\cdot \ln \frac{8.5\,mg}{85\,mg}[/tex]
[tex]t\approx 92.018\,d[/tex]
About 92 days are taken for 90 % of the material to decay.
We kindly invite to check this question on half-life: https://brainly.com/question/24710827
Which of the following is another way to express the difference between -5 and 8?
O-5+8
O-5-(-8)
O-5+(-8)
08-5
I will give brainliest
Answer:
His average monthly payment is $730.83
Step-by-step explanation:
700+650+750+760+785+880+700+725+700+750+720+650=8,770
8,770/12 = 730.83
Find each indicated length if A is the midpoint of XZ and B is the midpoint of YZ (please help asap!!)
Answer:
Step-by-step explanation:
We have to think that the median and the side is parallel to are one small and one big, and that the small one is half of that big one and that the big one is the small one doubled.
AB = 8 ( the small one ) then XY = 2* 8 = 16 ( the big one)
AB = 3 then XY = 2* 3 = 6
AB = 2.5 then XY = 2*2.4 = 5
XY = 18 ( the big one) then AB = 18/2 = 9 ( the small one)
XY = 4 then AB = 2/2 = 2
XY = 9 then AB = 9/2 = 4.5
How many arrangements can be made from the letters in the word PICCOLO
Answer:
1260Step-by-step explanation:
This is a permutation of 7 letters with double O and double C:
7!/2!2! = 5040/4 = 1260P = 1
I = 1
C = 2
O = 2
L = 1
--------
Total (n) = 7(k) = 2(C), 2(O)p = N! ÷ k!
p = 7! ÷ 2!2!
p = 5,040 ÷ 4
P = 1,260
Given: 8x - 3y= -21, 3x + y = -10; prove x= -3
What's the Answer of 5+5=09
Answer:
5+5=10
Step-by-step explanation:
i dont understand
A car's velocity is modeled by V(t)=0.5t^2 -8t +24 ,where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop
12 seconds
8 seconds
4 seconds
2 seconds
The velocity of the car is the rate of change of distance over time.
The car comes to a complete stop at 12 seconds
The velocity function is given as:
[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]
When the car comes to a complete stop, V(t) = 0.
So, we have:
[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]
Expand
[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]
Factorize
[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]
Factor out t - 12
[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]
Split
[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]
Solve for t
[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]
This gives
[tex]\mathbf{t =4\ or\ t = 12}[/tex]
12 > 4.
Hence, the car comes to a complete stop at 12 seconds
Read more about velocity and time at:
https://brainly.com/question/19979064
ryan lives 3 1/4 miles from school. kayla lives 2 3/4 miles from school. how much farther from school does ryan live than kayla?
Pls answer this and explain!
Answer:
Well if you add up all 3 angles in a triangle you’d get 180 degrees as the answer.
So we can. Jus substitute.
For number 19 you can do this
57+x+x+87+50=180
Now combine like terms
194+2x=180
Now solve
x=-7
Now we can subsitute that into angle A
57+ (-7) which is 50
Measure of angle A is 50.
For number 19 it’s the same thing.
9x+14+16x-4+80=180
Now combine like terms
25x+90=180
Solve
25x= 90
x= 3.6
Now subsitue for A
3.6*9+4 which is 36.4
A is 36.4
Which statement about perfect cubes is true?
a:25 is a perfect cube because 25 = 5 + 5 + 5 + 5 + 5
30 is a perfect cube because 30 = 3 times 10
512 is a perfect cube because 512 = 8 times 8 times 8
1,875 is a perfect cube because 1,875=25 times 25 times 3
V = s^3 = 8^3 = 512cm^3 True.
Answer:
every answer:
A
B
B
B
B D E
A
C
C
C
D
Step-by-step explanation:
i got 100% on Edg
Given: \overline{AE} \parallel \overline{FD},
AE
∥
FD
, \overline{BF} \parallel \overline{EC}
BF
∥
EC
and \overline{AC} \cong \overline{BD}.
AC
≅
BD
.
Prove: \triangle AEC \cong \triangle DFB△AEC≅△DFB.
needed 3 prove (angle/slide)
Answer:
See below for answer.
Step-by-step explanation:
∠ECB ≅ ∠FBC Parallel lines cut by a transversal form congruent alternate
interior angle
Δ AEC ≅ Δ DFB ASA
I need 30 please thank you
Answer:
ok good morning
have a nice day
Step-by-step explanation:
#toxicsquad
Answer:
i think its 7, but you should probably check that...
find the gcf and the distributive property to each sum.19,22
Answer:
50 is sum of gcf its couldn't of 19 is 20