Explanation:
Because point A is the center of dilation, it will stay fixed. It never moves. Everything else around it will move. Specifically, every point but A will move inward closer to A.
To get from A to B, we move 9 spaces. The scale factor 1/2 means we'll move half that amount and 9/2 = 4.5 spaces will be between A' and B'. Relabel A' as point E, and change the name of B' to F.
To go from A to D, we do the following steps
move to the right 9 spacesmove up 6 spacesCut each of those values in half to get 9/2 = 4.5 and 6/2 = 3. The results 4.5 and 3 are the horizontal and vertical distances we must travel when going from A' to D'. We'll relabel point D' as point H.
To go from D to C, we move 3 spaces. This cuts in half (again because of the scale factor) to get 3/2 = 1.5 spaces which is the distance from D' to C', aka from H to G.
Everything is marked in the diagram below.
help me plz math is hard
2p+3q=-7
3p+5q=-12
What is the solution in an ordered pair?
Answer:
(p, q ) = (1, - 3 )
Step-by-step explanation:
2p + 3q = - 7 → (1)
3p + 5q = - 12 → (2)
Multiplying (1) by 3 and (2) by - 2 and adding the result will eliminate p
6p + 9q = - 21 → (3)
- 6p - 10q = 24 → (4)
Add (3) and (4) term by term to eliminate p
0 - q = 3
-q = 3 ( multiply both sides by - 1 )
q = - 3
Substitute q = - 3 into either of the 2 equations and solve for p
Substituting into (1)
2p + 3(- 3) = - 7
2p - 9 = - 7 ( add 9 to both sides )
2p = 2 ( divide both sides by 2 )
p = 1
RE
Which graph represents the function f(x) = -X2 + 5?
N
10-
8-
6
2
o
-10 -56-4
ca
M
4
6
8
10
X
do ou
Answer:
I can't interpret the data the way it is presented. Are there two columns? I'll assume "-x2" is really "-x^2."
I've attached a plot of the function. Check to see which of your points fall on the line.
Step-by-step explanation:
y = -x^2 + 5
Expand the function.
4
f(x)
=
(2x + 3)4
Answer:
16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Step-by-step explanation:
Use the binomial expansion theorem to find each term. ∑
∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k
Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4
Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4
Simplify each term.
= 16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Substitute x = 9 and solve for B
3x + 10 = b
Answer:
b = 37
Step-by-step explanation:
3x + 10 = b
(3 x 9) + 10 = 27
27 + 10 = 37
Answer:
b Is 37
Step-by-step explanation:
x Is 9
instead of x you write 9
3x mean 3×X
3×X+10= 3×9+10=27+10=37
pls help this is annoying me :) <3
Answer:
f(0) = 2, x = - 2, x = - 1
Step-by-step explanation:
f(0) means what is the value of y when x = 0
x = 0 is a point on the y- axis
Thus when x = 0 , y = 2 , that is
f(0) = 2
(b)
The roots are the values of x on the x- axis where the graph crosses
This occurs at x = - 2 and x = - 1 ← roots
Find the slope of the line that passes through (7, 1) and (2, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-2/5
Step-by-step explanation:
slope equation is as follows -
(y1-y2)/(x1-x2)
now we just put (7,1) and (2,3) into the formula
(1-3)/(7-2)
-2/5
Ashely burns 0.48 calories for every 20 feet she runs.How many calories would she burn after running 2 miles?
Answer:
253.44 calories
Step-by-step explanation:
2 miles = 10560 feet
10560/20 = 528
528 · 0.48 = 253.44
Jane has 125 pairs of shoes if she's worn 20% of her shoes how many pairs has she worn
The median of the observations, 8,11,15, x +1, X +3, 30, 35, 40, 43, Arranged in ascending Order in 22 Find the value of x
Middle terms are x+1 and x+3
(X+1+x+3)/2= 22
2x+4 = 44
2x = 40
X = 20
True or False:
Rachel used 12 centimeters of tape to wrap 3
presents.
Her unit rate is 12.
Select one:
True
O False
Check
No links.
Answer:
False
Step-by-step explanation:
The unit rate should be 9
Answer:
i think false
Step-by-step explanation:
if im wrong forgive if am right brainliest pls:)
What are the solutions to the equation |X – 3|= 14?
x= 11 only
Ox= -11 and x = 17
x= 17 only
x= -11 and x=11
Answer:
{-11,17}
Step-by-step explanation:
|X – 3|= 14
There are two solutions to an absolute value, one positive and one negative
x-3 = 14 and x-3 = -14
Add 3 to all sides
x-3+3 =14+3 x-3+3 = -14+3
x = 17 x = -11
x = {-11,17}
6
How much
10 500
A pile of bricks weighs 22 kg.
18750g of bricks are removed. What weight is left?
Answer:
3,250g
Step-by-step explanation:
22kg = 22,000g - 18,750g = 3250g
En el salón de Esteban hay 28 alumna y solo han regresado a clases presenciales 45% de sus compañeros ¿cuantos alumnos faltan por regresar?
15 students are yet to return for the face to face classes
Given the following parameters
Total number of students in Esteban's classroom = 28 students
If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6
People that are yet to return = 28 - 12.6
People that are yet to return = 15.4
This shows that about 15 students are yet to return for the face to face classes
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I thought of a number I called this number n I multiplied my number by the sum of 12 and 18 I added 43 to the result and I got 103 what is n equal to
[tex](n \times (12 + 18)) + 43 = 103[/tex]
[tex]30n + 43 = 103[/tex]
Subtract both sides 43
[tex]30n + 43 - 43 = 103 - 43[/tex]
[tex]30n = 60[/tex]
Divide both sides by 30
[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]
[tex]n = 2[/tex]
I NEED HELP WITH ANOTHER ONE FIND THE MEASURE OF X
Answer:
x ≈ 3.2
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3.7}[/tex] ( multiply both sides by 3.7 )
3.7 × cos29° = x , then
x ≈ 3.2 ( to the nearest tenth )
Answer:
3.2
Step-by-step explanation:
we have two angles, 29 and 90.
we need one more angle to make the total sum of the angles 180.
the angle to do this is 61.
the area of this triangle so far is 2.90244.
using the area, we can find that the x side is 3.23609.
round 3.23609 to the tenth, we get 3.2
calls for
1
4
4
1
cup of sugar and
2
3
3
2
cup of flour. Janelle wants to proportionally increase these amounts to get a new recipe using one cup of sugar.
Answer:
Use a converation table and figure out 4/4-1/4 and that would be how much you would add for a new cup of sugar
Audrey & Jack begin a candlelight
dinner at 5pm with a 9-inch candle. At
8pm, their candle is only 3 inches.
What is the average rate of change of
the height of the candle per hour?
Answer:
-2 inches per hour
Step-by-step explanation:
Finding the average rate of change is just like finding the slope. So, take the y values (height) and subtract them and divide that by the difference in the x values (time).
( 3 - 9 ) / ( 8 - 5 )
= -6 / 3
= -2 inches per hour
HELP!!
FAST!!
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3
seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for
the number of seconds Lola needs to sign all 96 invitations?
O 508 seconds
O 510 seconds
509 seconds
O 508.8 seconds
Answer:
5.3 seconds is needed for one signature.
Hence, for 96 signatures, it would take
[tex]96*5.3=508.8[/tex] seconds.
The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Lola needs to sign 96 invitations.
And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.
Since, No of invitation's =96
And, Time required to sign 1 invitation = 5.3seconds
So, Let the time required to sign 96 invitation = x
Hence, We get;
x = 5.3 x 96
= 508.8 seconds
Thus, The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
Learn more about the multiplication visit:
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the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction. (step by step)
Answer:
43.2 is the correct answer happy
Write the equation of the line y=-11/3x+3 in standard form
The standard form of the equation of line will be;
⇒ 11x + 3y = 9
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The equation of line is,
y = -11/3 x + 3
Since, The standard form of the equation of line will be;
Ax + By = C
Where, A, B and C are integers.
Now, We convert the equation of line in standard form as;
The equation of line is,
y = -11/3 x + 3
Multiply by 3 in both sides,
3 × y = 3 (-11/3 x + 3)
3y = 3 × -11/3 x + 3 × 3
3y = - 11x + 9
3y = - 11x + 9
Add 11x both side;
11x + 3y = - 11x + 9 + 11x
11x + 3y = 9
Thus,
The standard form of the equation of line will be;
⇒ 11x + 3y = 9
Learn more about the linear equation visit:
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PLEASE HELP IT’S DUE TMR!!
Answer:
see below
Step-by-step explanation:
just reduce to 3 digits before the decimal place and count how many are behind the decimal for what power the 10 is, not including numbers that were already behind the decimal
a. 107.92*10^2
b. 376.932*10^0
c. 998.461*10^3
Answer:
When rounding significant figures the standard rules of rounding numbers apply, except that non-significant digits to the left of the decimal are replaced with zeros.
Step-by-step explanation:
(a) 10792 ≈ 10800
(b) 376.932 ≈ 377
(c) 998461 ≈ 998000
You start at (4,5). You move down 3 units. Where do you end?
Answer:
(4,2)
Step-by-step explanation:
If you move from left to right your X will change if you move up or down your Y will change.
( can I have brainiest? )
Helppppp it's due todayyyyyyyy.
Answer:
65.1mm
Step-by-step explanation:
(4*3+4*3+5.7*3/2)*2
(12+12+8.55)*2
32.55*2
65.1mm
!20 points! Here are two expressions whose product is a new expression, A:
Answer:
Whats A?
Step-by-step explanation:
Divide 31.50 / 2.50 step by step. Write is out on paper if you can. :D
Answer:
12.6 you divide 31.50 by 2.50 pretend the decimal signs aren't there.
Answer 5 and 6 please
Answer: 5) F:(1,-1)
6) W:(-3,-2)
Step-by-step explanation:
What is the slope of the line passing through the points (−3, 4) and (2, −1)?
3/5 this is a fraction by the way
1
−1
−53
[tex](x_1,y_1) = (-3,4),~~ (x_2,y_2) = (2,-1)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} =\dfrac{-1-4}{2+3} = \dfrac{-5}5 = -1[/tex]
2√8 -3√50+√32 AHIHIHI
Answer:
-9.89949493661
Step-by-step explanation:
y=1/4x + 4 input (x) = 4 find (y) output PLEASE HELP
Answer:
y = 5
Step-by-step explanation:
y = (1/4)x + 4
input (x) = 4
plug in 4 for x
y = (1/4)(4) + 4
y = 1 + 4
y = 5