Answer:
solution,
= 2{4×2+1}
=2{8+1}
=2×9
=18
Step-by-step explanation:
This is the solution
Answer:
18
Step-by-step explanation:
[tex]2(4(9 - 7) + 1)[/tex]
[tex]2(4 \times 2 + 1)[/tex]
[tex]2( 8 + 1)[/tex]
[tex]2 \times 9[/tex]
[tex] = 18[/tex]
Please help! Will mark brainliest! ^^
Answer:
1/8 = 0.125
14/20 = 0.7
2/3 = 0.67
4/5 = 0.8
Step-by-step explanation:
Fill in the missing work and justification for step 2 when solving 3(x + 2) = 12.
Step Work Justification
1 3(x + 2) = 12 Given
2
3 3x + 6 − 6 = 12 − 6 Subtraction Property of Equality
4 3x = 6 Simplify
5 Three times x over three equals six over three Division Property of Equality
6 x = 2 Simplify
3x + 6 = 12; Distributive Property
3x + 2 = 12; Distributive Property
3x + 6 = 12; Multiplication Property of Equality
3x + 2 = 12; Multiplication Property of Equality
Answer:
3x + 6 = 12; Distributive PropertyStep-by-step explanation:
3(x + 2) = 12The next step is:
3*x + 3*2 = 123x + 6 = 12This is a distributive property
Correct choice is A
Use coordinate notation to enter the rule that maps each preimage to its image. Then identify the transformation and confirm that it preserves length and angle measure.
S (−3, 4) arrowright S′ (−2, 2)
T (3, 4) arrowright T′ (4, 2)
U (−1, 0) arrowright U′ (0, −2)
The transformation is a
(select)
given by the rule: (x, y)= ____
Since ST =
(select)
, SU =
(select)
, and TU =
(select)
, the transformation preserves length.
Since mangleS =
(select)
, mangleT =
(select)
, and mangleU =
(select)
, the transformation preserves angle measure.
In geometry, transformations are used to move points from one position to another.
The transformation is a rigid transformation given by [tex](x,y) \to (x + 1, y-2)[/tex]. It preserves lengths and anglesThe preimage is given as:
[tex]S =(-3,4)[/tex]
[tex]T = (3,4)[/tex]
[tex]U = (-1,0)[/tex]
The image is given as:
[tex]S' = (-2,2)[/tex]
[tex]T' =(4,2)[/tex]
[tex]U' = (0,-2)[/tex]
Using points S and S' as our reference point, we have:
[tex]S =(-3,4)[/tex] and [tex]S' = (-2,2)[/tex]
Calculate transformation
[tex](x,y) \to S -S'[/tex]
[tex](x,y) \to (-2,2)-(-3,4)[/tex]
Rewrite as:
[tex](x,y) \to (-2--3,2-4)[/tex]
[tex](x,y) \to (-2+3,2-4)[/tex]
[tex](x,y) \to (1,-2)[/tex]
So, the transformation from the preimage to image is:
[tex](x,y) \to (x + 1, y-2)[/tex]
Calculate the lengths of the sides of the preimage and the image
Using the following distance formula, we have:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]ST = \sqrt{(-3 - 3)^2 + (4 - 4)^2} = 6[/tex]
[tex]SU = \sqrt{(-3 - -1)^2 + (4 - 0)^2} = \sqrt{20[/tex]
[tex]TU = \sqrt{(3 - -1)^2 + (4 - 0)^2} = \sqrt{32[/tex]
and
[tex]S'T' = \sqrt{(-2 - 4)^2 + (2 - 2)^2} = 6[/tex]
[tex]S'U' = \sqrt{(-2 - 0)^2 + (2 -- 2)^2} = \sqrt{20[/tex]
[tex]T'U' = \sqrt{(4 -0)^2 + (2 -- 2)^2} = \sqrt{32[/tex]
Since
[tex]ST = S'T'= 6[/tex]
[tex]SU = S'U'= \sqrt{20[/tex]
and
[tex]TU = T'U'= \sqrt{32[/tex]
Then, the transformation preserves length
From the graph of [tex]\triangle STU[/tex] and [tex]\triangle S'T'U'[/tex]
Since
[tex]\angle S = \angle S' = 76^o[/tex]
[tex]\angle T = \angle T' = 45^o[/tex]
[tex]\angle U = \angle U' = 59^o[/tex]
Then, the transformation preserves angle measure.
Read more about transformation at:
https://brainly.com/question/12865301
m - 4 = 2m
Check your solution if possible
Answer:
m - 4m = 2m
-4 = 2m -m
- 2 = m
Answer:
m = -4
Step-by-step explanation:
Add 4 to both sides of the equation
Simplify
Add the numbers
= 2 + 4
Subtract 2 from both sides of the equation
=2+4
−2=2+4−2
Simplify
Divide both sides of the equation by the same term
Simplify
Solve 4x−9y=13 for y
Please help
Answer: i dont know
Step-by-step explanation: 4
What is the solution to the equation 5x = 40?
07
08
45
200
Answer: Should be 8 ,,,,,
Answer:
Step-by-step explanation:
well you want to isolate x so in order to undo multiplication, you divide the 5 on both side that way it cancels on the side with the x.
The answer to that is: X = 8.
40 divided by 5 = 8.
To check we can do 5 x 8 = 40.
X = 8
What is the area of this figure?
Answer:
I love these kind of problems (yes I'm kidding,... lol) your answer is below,...
Step-by-step explanation:
To find the area of the whole shape lets view it as three seprate rectangles,... then we will find the area of the three seperate shapes and add the areas together,... (english scholler voice): "Quite simple really"
For "simplicitys sake" lets view the shape as a house blueprint, no house I would want to live in, but a house non-the-less,... you have the main part of the house (the largest rectangle, the 13yd x 24yd one) the hallway in the middle (the 14yd x 6yd rectangle) and finally the really ridiculous sized I-du-know,... kitchen (the 5yd x 17yd one) Sooo,... lets go,...!
First of all if you didn't follow how I got the three rectangles then it's "quite simple really!" all I did is: take the oppposite side of the very far left side (the one that says 24yd) where is says 7yd and 11yd and because we know that the 7yd + 11yd + the-part-that-we-don't-know-how-long-is, is all = to 24yd then we know that the part that is not labled (the "doorway" from the main part of the house to the hallway) has to be 6yd because 7yd + 11yd + 6yd = 24yd,... AND know we know that that side of the "hallway" is 6yd, so the "hallway" is 6yd x 14yd,... So,...
13yd x 24yd = YES!... 312yd
14yd x 6yd = RIGHT again!... 84yd
5yd x 17yd = YOU are SO LIT,... yes it's 85yd
Alright so we have 312yd and 84yd and 85yd,... all we have to do is add 'em all up and you will have the area of your houseprint,... You got it!
312yd + 84yd + 85yd = (drum roll please,...) 481yd,...
The area of you shape is 481yd,...
So glad to have worked with ye and me thinks that that hopefully helped,...
CHOW,...!
a 18-inch candle is burning at the rate of 1 inch per hour and 1 15-inch candle is burning at half of an inch per hour. How long will it take for the two candles to be the same height?
A movie started at 22 45. The movie ended at 01 32 the next day. Calculate the duration of the movie.
please with full works
Movie started at 22 : 45 and ended at 01 : 32.
total watching hours :
(22 : 45 to 00 : 00) + (00 : 00 to 01 : 32)1 hour and 15 minutes + 1 hour and 32 minutes 2 hours and 47 minutesI hope it helped !!
solve for x…………………..
Answer:
10
Step-by-step explanation:
10+x+2=-8+3x
12+x =-8+3x
12+8=3x-x
20=2x
X=20/2
X=10
replace blank with <,>, or = to make a true statement: 2^5 blank
4^2
Step-by-step explanation:
2^5 > 4^2
32 > 16
hopefully it makes
:)
if there are 48 students in a class and 42% of those students have a dog what percent of students have a dog or a cat?
Amber baked 243 cookies. She wants to share the cookies evenly among 13 friends in her class. How many cookies will each friend receive?
Answer:
18
Step-by-step explanation:
243÷13=18remainder9
mark me brainliest
Answer:
18
Step-by-step explanation:
243/13
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Answer:
Peter = 6 kg
Mary = 12 kg
Lucy = 8 kg
Step-by-step explanation:
let us take number of kg's peter took as x
then lets form an expression to find x
let us take mary's chestnuts as = 2x (twice as much as peter)
let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)
so
x + 2x + 2+ x = 26
4x + 2 = 26
4x = 26 - 2
4x = 24
x = 24/4
x = 6
now let us see how much each of them picked while replacing 6 by x
Peter = x
= 6 kg
Mary = 2x
= 2(6)
= 12 kg
Lucy = 2+x
= 2 + 6
= 8 kg
now let us cross check to see the answer
6 + 12 + 8
18 + 8
= 26
CROSS-CHECKED
Simone buys a shirt and hat. The hat costs six dollars. The shirt cost five times as much as the heart. How much more does the shirt cost than the heart?
Answer:
$24
Step-by-step explanation:
h x 5 = 30
h = 6
30 - 6 = 25
48 POINTS PLEASE HELPPPPPPP....The formula for the area of a traingle is 1/2 bh, where b is the length of base of the traingle and h is the vertical height. Use the formula to find the height of a traingle with a base length of 8 inches and an area of 39 square inches.
Answer:
h=39/4
Step-by-step explanation:
area of a triangle = 1/2(b*h)
base = 8 inches
area =39 square inches
input the values given:
39=1/2(8*h)
multiply the right side by 1/2
39=(1/2)8h
find half of 8
39=1/2*8 (h)
hence,
39=4h
divide both sides by 4
hence,
39/4=h
The function represents the amount of money in a savings account that had an opening deposit of $150 and then receives a deposit of $10 every month. How much money is in the account after 1 year?
Answer:
$270
Step-by-step explanation:
The opening deposit is $150.
Every month receives $10.
In 12 months it gets 12 x $10 = $120 additional money.
So together with the opening deposit at the end of 1 year the account has
$150 + $120 = $270
Write the slope-intercept form of the equation of the
line through the given point with the given slope.
10. through: (5, -3), slope -4/5.
Answer:
y = -4/5x + 1Step-by-step explanation:
The slope-intercept form:
y = mx + b, where m- slope, b- y-interceptUse point (5, -3) and m = -4/5:
-3 = -4/5*5 + b-3 = -4 + bb = -3 + 4b = 1The line is:
y = -4/5x + 1Answer:
b = 1
Step-by-step explanation:
We know that
y = mx + b
-3 = -4/5 × 5 + b
-3 = -20/5 + b
-3 = -4 + b
-3 + 4 = b
1 = b
PT=3x+9 and TQ=8x-6 find PT
Answer:
Step-by-step explanation:
Calculate the slope of the line containing the points (6,-4) and (-1,-4).
Answer:
Step-by-step explanation:
(x₁ , y₁) = (6, -4) & (x₂ , y₂) =(-1 , -4)
In these two points, there is no change in y-coordinates. So, the line is parallel to x-axis.
Slope of line parallel to x-axis = 0
2/
What is the greatest common factor of 20x4 and 6x??
ОА.
OB.
A
OC. 2x
OD. 2XA
Reset
Next
Answer:
c options is right what is the answer
someone help with this, asap ty.
Answer:
Still C br-uh
Step-by-step explanation:
Can someone please help rq
Answer:
19
Step-by-step explanation:
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[tex]\frac{2x-5}{3}=11 \ \ /\cdot3\\\\2x-5=33 \ \ /+5\\\\2x=38 \ \ /:2\\\\\huge\boxed{x=19}[/tex]
I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP
Problem 61
The nth triangular number is
T(n) = n(n+1)/2
I'll rewrite this into
T(n) = 0.5n(n+1)
The triangular number right after this is
T(n+1) = 0.5(n+1)(n+2)
I replaced every n with n+1 and simplified
Let's see what we get when we add up the two expressions
T(n) + T(n+1)
0.5n(n+1) + 0.5(n+1)(n+2)
0.5n^2+0.5n + 0.5(n^2+3n+2)
0.5n^2 + 0.5n + 0.5n^2 + 1.5n + 1
n^2+2n+1
(n+1)^2
This shows that the sum of any two consecutive triangular numbers results in a square number
Here's a few examples
0+1 = 11+3 = 43+6 = 96+10 = 1610+15 = 25Note each sum is a perfect square, which visually would plot out a square figure.
For quick reference, the set of the first few triangular numbers is {0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,...}
Answer: Square number==========================================================
Problem 64
Let's say we go with n = 5.
This means,
T(n) = 0.5n(n+1)
T(n-1) = 0.5(n-1)(n-1+1)
T(n-1) = 0.5n(n-1)
T(5-1) = 0.5*5(5-1)
T(4) = 10
This says that when n = 5, the 4th triangular number is 10
Triple that result and add on n = 5
3*T(4) + n = 3*10+5 = 35
This result is beyond obvious which category of figurate number it belongs to. It's not a triangular number since it's not in the form n(n+1)/2. It's not a square number either.
Through a bit of trial and error, you should find it's a pentagonal number
Pentagonal numbers are of the form n(3n-1)/2
If you plugged n = 5 into that, it leads to 35
n(3n-1)/2 = 5*(3*5-1)/2 = 5*14/2 = 70/2 = 35
The diagram shown below represents the first few pentagonal numbers. The number of blue dots corresponds to the pentagonal number itself. Note the equal spacing when dealing with dots on each segment (eg: some interior blue dots are midpoints, others are quarter points, etc.)
Answer: Pentagonal numberLloyd solves the equation 24x + 18(x – 2) = 216 for x. Some of his steps are shown.
Step 1: 24x + 18(x – 2) = 216
Step 2: 24x + 18x – 36 = 216
Step 3: 42x – 36 = 216
Step 4: 42x = 252
Which of the following statements BEST describes what Lloyd did to get from Step 3 to Step 4?
A.
Used the division property of equality
B.
Used the distributive property
C.
Used the multiplicative inverse property
D.
Used the addition property of equality
Answer:
The choose D. Used the addition property of equality
4x-36=216
4x=216+36
4x=252
I hope I helped you^_^
lập bảng biến thiên và tìm tập giá trị của y=2x-4
1 7/8 cups of ketchup times 3.
Answer:
5 5/8 cups of ketchup
Step-by-step explanation:
1 7/8 x 3
15/8 x 3/1 = 45/8
45/8 = 5 5/8
Hi how can I graph this if it dosn't have a slope?
1. y = (2/3)x - 1
y = -x + 4
System of Linear Equations entered :
[1] y - 2x/3 = -1
[2] y + x = 4
// To remove fractions, multiply equations by their respective LCD
Multiply equation [1] by 3
// Equations now take the shape:
[1] 3y - 2x = -3
[2] y + x = 4
Graphic Representation of the Equations :
-2x + 3y = -3 x + y = 4
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -y + 4
// Plug this in for variable x in equation [1]
[1] 3y - 2•(-y +4) = -3
[1] 5y = 5
// Solve equation [1] for the variable y
[1] 5y = 5
[1] y = 1
// By now we know this much :
y = 1
x = -y+4
// Use the y value to solve for x
x = -(1)+4 = 3
I hope this help you
Find the lengths of LM⎯⎯⎯⎯⎯⎯ and PQ⎯⎯⎯⎯⎯ and determine whether they are congruent.
Hint: Congruent line segments have the same length.
Answer:
The fourth option is the answer.
Step-by-step explanation:
Use distance formula
[tex] {x}^{2} + {y}^{2} = {d}^{2} [/tex]
where x is the distance between the two endpoints of the congruent line segment and y is the distance between the congruent line segment.
[tex] {3}^{2} + {6}^{2} = 45[/tex]
Set 45 equal to d^2.
[tex]45 = {d}^{2} [/tex]
[tex] \sqrt{45} = d[/tex]
[tex]3 \sqrt{5} = d[/tex]
L and M have the same distance between points as well. so they are congruent.
Which of these is not a characteristic of a perpendicular bisector?
Answer:
The perpendicular bisector meets any line at an angle which is not 90°
Step-by-step explanation:
[tex].[/tex]
Answer:
the perpendicular bisector meets any line at an angle which is not 90°