Answer:
$6.40
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.4
In Exercises 1-4, determine whether the dilated figure or the original figure is closer to the center of dilation. Use the given location of the center of dilation and scale factor k.
1. Center of dilation inside the figure; k = 3
Center of ditation inside the figure, k = 1/2
3. Center of dilation outside the figure: = 120%
4. Center of dilation outside the figure; k = 0.1
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
which expression is equivalent to 10 a+ 3b -2a+b
Answer:
Step-by-step explanation:
Simplify like terms.
10a-2a+3b+b = 8a+4b
Answer:
8a +4b
4(2a+b)
Step-by-step explanation:
10 a+ 3b -2a+b
Combine like terms
10a-2a +3b+b
8a +4b
We can factor out 4
4(2a+b)
Write a function rule for table
Is it a, b, c or d?
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 5 ) ← 2 ordered pairs from the table
m = [tex]\frac{5-4}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The line crosses the y- axis at (0, 3 ) → c = 3
y = x + 3 ← equation of line → A
Which graph represents the function f(x)=|x−1|−3 ?
Which best describes the relationship between the lines with equations −6x+8y=−1 and −4x−3y=2?
Answer:
it is linear
Step-by-step explanation:
Both of these both lines are perpendicular to each other.
We have the two equations of straight lines :
− 6x + 8y = −1 and −4x − 3y = 2.
We have to identify the relation between these two lines.
What is the general equation of a straight line ?The general equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to the question, we have -
−6x + 8y = −1 ...(1)
−4x − 3y = 2 ...(2)
Rearranging the terms of the equations we get -
y = [tex]\frac{3}{4} x - \frac{1}{8}[/tex] ...(3)
and
y = [tex]\frac{-4}{3}x - \frac{2}{3}[/tex] ...(4)
When compared -
The slope of line −6x + 8y = −1 is m(1) = [tex]\frac{3}{4}[/tex].
The slope of line −4x − 3y = 2 is m(2) = [tex]\frac{-4}{3}[/tex].
We can see that -
m(1) x m(2) = - 1
The product of the slopes of two perpendicular lines is -1.
Hence, these both lines are perpendicular to each other.
To solve more questions on relation between straight lines, visit the link below -
brainly.com/question/13792781
#SPJ2
Sequence Problem Below
Answer:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{} t_1=\boxed{5} \\\\d=\boxed{-4} \\\\t_n=\boxed{9-4n}[/tex]
Step-by-step explanation:
[tex]\displaystyle\large \boldsymbol{Rule: t_n=S_{n}-S_{n-1}} \\\\\\S_n=7n-2n^2 \ \ \ \ then \\\\\Longrightarrow S_{n-1}=7(n-1)-2(n-1)^2 =7n-7-2n^2+4n-2 \\\\then \\\\\\S_{n}-S_{n-1}=7n\!\!\!\!\!\!\diagup-2n^2\!\!\!\!\!\!\diagup-7n\!\!\!\!\!\!\diagup+7+2n^2\!\!\!\!\!\!\diagup-4n+2=9-4n \\\\t_n=9-4n => t_1=5\\\\d=t_2-t_{1}=1-5=-4[/tex]
The half life of a substance is 30 days. If there are 4.5 grams to start with, how much will be left after 23 days? Round to the nearest tenth of a gram. Be sure to label your answer.
65.4Step-by-step explanation:KHAN
Important formula:
[tex]N_t = N_0 (1/2)^\frac{t}{t_{1/2}}[/tex]
Here, you are trying to find Nt and you have N0 = 4.5g, t = 23 days, t1/2 = 30 days. Plug the values in and you should get 2.7g left after 23 days.
Thank you so much thank y’all for your help
Answer:
2(4) + 2(l) >14 (second option is the answer).
Help if you know thanks
x= - 1/2,-1
or
x= - 0.5, -1
Answer:
x = -1/2 x=-1
Step-by-step explanation:
2x( x+1.5) = -1
Distribute
2x^2 + 3x = -1
Add 1 to each side
2x^2 +3x+1 = 0
Factor
(2x+1) (x+1) =0
Using the zero product property
2x+1 = 0 x+1=0
2x = -1 x=-1
x = -1/2 x=-1
if 2x + 3x.find the value of x
if 2x + 3x = ? the question is incomplete or is it about traingle
2(-3-6)+(-7+4)to the power of 2
please help asap, see attached photo. This is due in 1 hour!!! please answer both questions. Both 5 and 6
Answer:
A and C
Step-by-step explanation:
5) logx+log(x+9)=2
log(x(x+9))=2, log(x^2+9x)=2
6) log(x^2+9x)=2
(x^2+9x)=36 or 6^2
PLEASE HELP!
Find the value of x.
Answer Options:
A. 12
B. 11
C. 10
D. 16
Explanation:
We use the intersecting chords theorem here.
This is the idea where multiplying the pieces of each chord lead to the same product
6*x = 5*12
6x = 60
x = 60/6
x = 10
Answer:
C.) 10
Step-by-step explanation:
I got it correct on founders edtell
If (3+√5)(4-√5)=a+b√5, where a and b are integers, then what is the value of a + b?
15) The sum of one-fourth, one-ninth and one- third of a number is 25. Find the number.
Answer:
Step-by-step explanation:
(1/4 + 1/9 + 1/3)x = 25.
x = 36
Answer:
Let the number be x
(1/4 + 1/9 + 1/3) * x = 25
25/36 * x = 25
25x = 25*36
x = 25*36/25
x = 36
Step-by-step explanation:
For a beverage, Lisa mixes cups of lemonade to cups of ice tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea
Answer:
lemonade is 4:10 to ice or .4:1
Step-by-step explanation:
Assuming lemonade is 2 and tea is 5, you can use a table or multiply both reciprocals by 2 so 2x2 and 2x5 = 4:10. then if you want to see how much is in just once cup of tea divide by ten to each for the product of .4:1
Answer: For every 2 cups of lemonade, there are 5 cups of iced tea.
if the ratio is 2:5 then for every 2 cups of lemonade there are 5 cups of tea.
it is just another way of saying the ratio
I’ll mark u as a brainliest!! pls help me
Answer:
Shorter leg is 7
Bigger leg is 7√3 = 12.1 (rounded to the nearest tenth)
can y’all help me out
Answer:
B: y = {-13, -5, 3, 15}
Step-by-step explanation:
Let's plug each x-value into this equation: f(x) = 4x + 3
Domain: {-4, -2, 0, 3}
First, let's start with -4:
f(x) = 4x + 3
y = 4x + 3
y = 4(-4) + 3
y = -16 + 3
y = -13
Next, let's do -2:
f(x) = 4x + 3
y = 4x + 3
y = 4(-2) + 3
y = -8 + 3
y = -5
After that, let's do 0:
f(x) = 4x + 3
y = 4x + 3
y = 4(0) + 3
y = 0 + 3
y = 3
Finally, let's do 3:
f(x) = 4x + 3
y = 4x + 3
y = 4(3) + 3
y = 12 + 3
y = 15
Now that we have all our y-values, let's set up the range:
Range (y-values): {-13, -5, 3, 15}
As you can see, the only answer choice that includes this range is B;
{-13, -5, 3, 15}.
pls help. pls show work as well thank you:)
Answer:
Step-by-step explanation done
help please...what is the locus of the midpoints of all chords that can be drawn from a given point on a circle with a radius of 6. be exact with your answer.
Answer:
the answer is a
Step-by-step explanation:
sory lawl
i mean e
answer e!
good luck w summer geometoery
please find the answer
there are options given below
plz give answer asap
Answer
33.3
Step-by-step explanation:
if u multiply the 2, and then find the ratio of them in comparison to the number under, you will find the rate decreases by 10 percent every time, the first situation it is 4/8 = 5/10, second situation is it 32/80= 4/10, and htis situation is most like 3/10, right ? so the answer would be 33.3 :)
AYUDAAAAA
Un litro de leche de búfala equivale a 1.7 litros de leche de vaca. ¿si tengo
27 litros de leche de búfalo, a cuantos litros de leche de vaca equivaldría?
Answer:
27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.
Step-by-step explanation:
Sabiendo que un litro de leche de búfala equivale a 1.7 litros de leche de vaca, podemos calcular el equivalente de capacidad de la vaca para 27 litros de leche de búfala mediante Regla de Tres Simple:
[tex]x = 27\,L\times \frac{1.7\,L}{1\,L}[/tex]
[tex]x = 45.9\,L[/tex]
27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.
Nigel's age (n) is 3 years more
than his sister's age (s).
A. N = 3N + 3
B. N =3s
C. N = 3 + s
D. S = -3s/n
Answer:
b
Step-by-step explanation:
n=3s
~~~~~~~~~~~~~~~~~
Describe how (2 cubed) (2 superscript negative 4) can be simplified.
Answer:
1/2
Step-by-step explanation:
Given:
(2 cubed) (2 superscript negative 4)
= (2³)(2^-4)
= (2³) (1 / 2⁴)
= (2³ * 1) / 2⁴
= 2³ / 2⁴
Both numerator and denominator has the same base. Thus, pick one of the bases
Also, in indices, division sign can be translated to subtraction
Therefore,
2³ / 2⁴
= 2^3-4
= 2^-1
= 1/2¹
= 1/2
(2³)(2^-4) = 1/2
Answer:
D
Step-by-step explanation:
bc i said so
show the work please and thank you
Answer:
Option a, 13
if you solve it, you get 13 as the answer
³√(5x-1)=4
or, 5x-1=64
or, 5x=65
or, x=13
Can someone help with these 2?
Answer:
a. 25 ft squared
b. 0.3
Step-by-step explanation:
a. if the perimeter is 20 that means that each side would be 5 because its a square and 5 x 5 is 25.
b. 0.3 to the third power is 0.027
need help with this!!
Felix is now six times as old as Debbie. In twelve years time Felix will be two times as old as Debbie. How old are they
Step-by-step explanation:
let debbie be x years
let felix be 6x years
in 12 years felix will be 2x older than debbie
do the calc
calcula el valor de A - B, si se sabe que: A=
Answer:
[tex]P=\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]P=\frac{(x+3)^2-(x-3)^2}{(x+6)^2-(x-6)^2}[/tex]
[tex]=\frac{[(x+3)-(x-3)][(x+3)+(x-3)]}{[(x+6)-(x-6)][(x+6)+(x-6)]}[/tex]
[tex]=\frac{6(2x)}{12(2x)}[/tex]
[tex]=\frac{1}{2}[/tex]
Por tanto, el valor de P será [tex]\frac{1}{2}[/tex]
arctanx=arccos(-5/13)
i know that there is no solution but i need to know how to get there
help me solve the trig equation for x!!
If φ = arccos(-5/13), then cos(φ) = -5/13. Since this is negative, you know φ is an angle that terminates either the second or third quadrant.
arctan(x) has a range of -π/2 < arctan(x) < π/2, which is to say that arctan(x) is an angle that terminates in either the first or fourth quadrant.
These quadrants don't overlap, so there is no solution to the equation.
