Answer:
it's 2 to the power of 5, 2 to the power of 2 + 3 to the power of 2 and the last one is 3 to the power of 3 - 3 to the power of 2
PLZ HELP ASAP!!
If the parallel lines m and n are 6 units apart, how many units of translation is equivalent to the composition of two reflections over lines m and n?
9514 1404 393
Answer:
12 units
Step-by-step explanation:
Reflection over two lines x units apart is equivalent to a translation of 2x units. Since the given lines are 6 units apart, ...
the equivalent translation is of 12 units.
___
Example:
Lines at x=0 and x=6. Point (x, 0). After reflection over x=0, the point is located at (2·0 -(x), 0) = (-x, 0). After reflection of that over x=6, the point is located at (2·6 -(-x), 0) = (12 +x, 0). That is, 12 has been added to the x-coordinate, meaning the point was translated 12 units. (The translation is in the direction the second line is from the first.)
Work out (5 x 109)
109) x (9 x 10)
Give your answer in standard form.
Answer:
49050
Step-by-step explanation:
(5 x 109)x (9 x 10)
545×90
49050
So the answer is 49050
1.43 x 10 to the 9 power
Answer:
1430000000
Step-by-step explanation:
HELP ME OUT HERE PLEASEEEEEEEEEEEEEEEEEEE
Answer:
5/8 quart
Step-by-step explanation:
Just take away 1/4 from 7/8The height of XYZ is the distance from the point Y to XZ find the area of the triangle round your answer to the nearest 10th if necessary HELPPP PLEASE
Answer:
Area of ΔXYZ = 10 square units
Step-by-step explanation:
Area of the triangle XYZ = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]
Height of the triangle = AY
Base of the triangle = XZ
To get the length of any segment we will use the formula,
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2)}[/tex]
Here [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of the segment.
Length of AY = Distance between (-1, 4) and (3, 6)
= [tex]\sqrt{(6-4)^2+(3+1)^2}[/tex]
= [tex]\sqrt{20}[/tex]
Length of XZ = [tex]\sqrt{(6-2)^2+(-2-0)^2}[/tex]
= [tex]\sqrt{20}[/tex]
Area of ΔXYZ = [tex]\frac{1}{2}(\sqrt{20})(\sqrt{20})[/tex]
= 10 square units
solve for x.
√x + 20 = 9
possible answers:
17
61
81
101
Answer: 61
Step-by-step explanation:
[tex]\sqrt{x+20}=9\\\\x+20=81\\\\x=\boxed{61}[/tex]
The value of x will be 61.
What is mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mathematical expression is,
⇒ √x + 20 = 9
Now,
Solve the expression for the value of x as;
The mathematical expression is,
⇒ √x + 20 = 9
Take square on both side, we get;
⇒ (√x + 20 )² = 9²
⇒ x + 20 = 81
Subtract 20 both side, we get;
⇒ x + 20 - 20 = 81 - 20
⇒ x = 61
Therefore, The value of x will be 61.
Learn more about the mathematical expression visit:
https://brainly.com/question/16583268
#SPJ2
Solve the equation. 3x + 2(4x − 6) = 8x + 1 What is the value for x? x =
Answer: x= 13/3
Step-by-step explanation: solve x
by simplifying both sides of the equation, then isolating the variable.
Answer:
[tex]x=\frac{13}{3}[/tex]
Step-by-step explanation:
The explanation on how to solve it is from the attached picture.
Hope this helps! :)
A four-digit perfect square number is created by placing two positive two-digit perfect square numbers next to each other. What is the four-digit square number?
Answer:
1681
Step-by-step explanation:
In a four digit perfect square, the first two digits and last two digits taken seperately are also perfect squares.
Therefore, the answer is 1681 because 1681=41*41 and
16=4*4 and 81=9*9
10 points solve ASAP!!!! Solve for x:
-8x + 10 = 82
a
x = 9
b
x = -9
c
x = 92/8
d
x = -92/8
Answer:
The answer should be b: x=-9
Answer:
b. -9
Step-by-step explanation:
-8x+10=82
-10 -10
-8x=72
divide both side by -8
x=-9
Pls help need to pass lesson
Answer:
Explanation below
Step-by-step explanation:
First Degree Equations
A first-degree equation can have one, none, or infinitely many solutions.
An equation like
2x + 3 = -x + 6
Has one solution: x=1
An equation like:
4x + 2 = 4x + 1
Has no solutions because when trying to solve for x we get:
2 = 1
This equality is false and no value of x can make it true
Finally, the equation:
3x + 2 = x + 2x + 2
Has infiniteyl many solutions, because when trying to solve it, we get:
2 = 2
Which is true regardless of the value of x
The first given equation:3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
For this equation not having solutions, we should have 8x plus any number but 9 on the right side of the equation:
8x + 9 = 8x -3, or
8x + 9 = 8x + 4
The second given equation:3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
If the equation has one solution, the only condition is that we should not have 8x on the right side. Thus any of those will do:
8x + 9 = 3x + 9
8x + 9 = -x + 5
8x + 9 = 0
The third equation:3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
For this equation to have infinitely many solutions, the right side must be exactly equal to the left side:
8x + 9 = 8x + 9
I need help dividing these decimal numbers
1. 4.75 ÷ 5 =
2. 0.5 ÷ 2 =
3. 10.26 ÷ 2 =
4. 0.36 ÷ 9 =
5. 0.4 ÷ 20 =
6. 3.5 ÷ 7 =
7. 0.88 ÷ 4 =
8. Kari is making copies at a local copy store of the program for her school play. She makes 52 copies and the total cost is $6.24. How much did the store charge her per copy?
9. Janelle cuts a piece of rope that is 20.44 feet long into four equal sections. How long is each new section of rope?
10. Camden's mom pays $206.45 for him to go to camp each summer. If the camp is five days long, how much does each individual day cost?
Answer:
1.) 0.95
2.) 0.25
3.) 5.13
4.) 0.04
5.) 0.02
6.) 0.5
7.) 0.22
8.) 0.12 cents
9.) 5.11 feet long
10.) $41.29 per day
Step-by-step explanation:
The graph of a function is shown: scatterplot of the following points: negative 3 and 2, negative 2 and negative 1, 2 and negative 1, and 3 and 3 Which of the following correctly identifies the set of outputs? (4 points)
A. {−3, −2, 3}
B. {−1, 2, 3}
C. {(−3, 2), (−2, 1), (3, 3), (3, −1)}
D. {(2, −3), (1, −2), (3, 3), (−1, 3)}
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i did flvs
Which ordered pair is part of the solution set of the inequality 5-y5-3x? Oa (3,-5) Ob. (-3,-5) Oc. (2,-1) Od (-2,-1)
Answer:
ob
Step-by-step explanation:
could you explain this to me and tell me the answer. Thank you so much!!
Answer:1+3=4 4+2=6 5+6=11
Step-by-step explanation:
Answer:
1+3=4, 2+4=6, 5+6=11
Step-by-step explanation:
when made into a cube, (assuming 2 is on the top,) 1 is on the left side and 3 is on the right. 2 is on the top and 4 is on the bottom. 5 is on the north side (the front I guess, but north is the way I can explain it best) and 6 is on the south (the back).
A person 6ft tall stands 10ft from point P directly beneath a lantern hanging 30 ft above the ground. The lantern start to fall, thus causing the person shadow to lengthen(L). Given that the lantern falls 16t2 feet in t seconds, how fast will the shadow be lengthening when t=1
Answer:
[tex]\frac{dL}{dt}=30 \frac{ft}{s}[/tex]
Step-by-step explanation:
In order to solve this it is always a good idea to start by drawing a diagram of the situation (See attached picture).
From the diagram we can see that we are dealing with similar triangles. We can use similar triangles to build an equation that relates the length of the shadow with the height of the lamp, so we get:
[tex]\frac{L}{6}=\frac{10+L}{h}[/tex]
the height of the lamp can be found by subtracting the [tex]16t^{2}[/tex] distance the lamp falls in a given time t from the original 30ft the lamp was located at.
So the equation will now lok like this:
[tex]\frac{L}{6}=\frac{10+L}{30-16t^{2}}[/tex]
So now we can solve the equation for L, we can start by multiplying by the LCD SO WE GET:
[tex]L(30-16t^{2})=6(10+L)[/tex]
next, we can distribute the right side of the equation so we get:
[tex]L(30-16t^{2})=60+6L[/tex]
and subtract 6L from both sides so we get:
[tex]L(30-16t^{2})-6L=60[/tex]
and factor L, so we get:
[tex]L(30-16t^{2}-6)=60[/tex]
and solve for L:
[tex]L=\frac{60}{24-16t^{2}}[/tex]
now, we can differentiate this equation by using the chain rule, so we get:
[tex]dL=-\frac{60}{(24-16t^{2})^{2}}(-32t)dt[/tex]
which can be simplified to:
[tex]\frac{dL}{dt}=\frac{1920t}{(24-16t^{2})^{2}}[/tex]
and now we can substitute t for 1s so we get:
[tex]\frac{dL}{dt}=\frac{1920(1)}{(24-16(1)^{2})^{2}}[/tex]
[tex]\frac{dL}{dt}=30 \frac{ft}{s}[/tex]
need to know how to find the area of this figuer
2x+7y=1
y=4x−8
Is (4,8)(4,8)left parenthesis, 4, comma, 8, right parenthesis a solution of the system?
hello :
2x+7y=1 ...(*)
y=4x−8...(**)
(4;8) means x= 4 and y= 8
put this values in (*) and(**) :
2(4)+7(8) =1 62=1 false
8=4(4)-8 8=8 true
so :(4;8) is not solution for this system.
what is the smallest six-digit number you can make that is divisible by five
Answer:
100000
Step-by-step explanation:
Maths class
Answer:
500.000 cos it's firstly multiplies by 5
Anybody Know This. ? I Wanna Be Positive It’s C
Answer:.
Step-by-step explanation:
Answer:
The correct answer is A
Step-by-step explanation:
I think you are trying to find corresponding sides. In the answer that you think it is, it says BC = DF. Well, is you look triangle ABC you see that BC is at the bottom. However, this differs from triangle DEF because EF is the bottom line. So if you look at the answer A, you see that it has the correct corresponding sides. I hope that helps :))
What is an
equation of the line that passes through the points (-3,-7) and (8,-7)?
Answer: y = -7
graph attached.
Step-by-step explanation:
This is a horizontal line passing through -7 in the y-axis. It passes through all x-values
what is ─7 ─ 4b = ─5b sovled for the variable
Answer:
b = 7
Step-by-step explanation:
Add 4b to both sides
You then get -b = -7
You want to multiply both sides by -1 because you can't have a negative variable
Answer:
b = 7
Step-by-step explanation:
^^^
^
h
g
h
h
h
h
h
hh
h
h
h
h
h
h
h
Pls help me figure out the slope
Answer:
[tex]m=\frac{-4}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-3, 1)
Point (2, -3)
Step 2: Find slope m
Substitute: [tex]m=\frac{-3-1}{2+3}[/tex]Subtract/Add: [tex]m=\frac{-4}{5}[/tex]Which is the height of the lighthouse?
Answer:
Step-by-step explanation:
tan 26° = [tex]\frac{x}{90}[/tex] ⇒ x = 90tan26° ≈ 43.9 ft. (This answer for the picture)
sin 26° = [tex]\frac{h}{100}[/tex] ⇒ h = 100sin26° ≈ 43.9 ft (This answer for the text)
h = √(100² - 90²) ≈ 43.589 ft. (Pythagorean theorem)
What is square root of 144
Which equation results from isolating a radical term and squaring both sides of the equation for the equation /c - 2 - /c=5?
Answer:
D. c - 2 = 25 + c + 10√c
Step-by-step explanation:
Hope this helps!! Have a great day!! ❤
17.75X + 24 = 18.95x + 18
What is the perimeter of the rectangle 60ft and 50ft
Answer:
200 ft
Step-by-step explanation:
Answer:
220
Step-by-step explanation:
60 times 2 equals 120
50 times 2 equals 100
120 plus 100 equals 220
PLEASE HELP!! solve |2x-2| ≥6.
x ≤ -2 OR x ≥ 4
__________________________________________________________
Step-by-step explanation:We are given the inequality:
|2x - 2| ≥ 6
Getting rid of the Modulus:
Since 2x-2 is in modulus:
|2x-2| = -(2x-2) OR 2x-2
(since the modulus of both these values is 2x-2)
Hence, our inequality can be written in 2 different ways:
2x-2 ≥ 6 (if 2x-2 ≥ 1)-(2x - 2) ≥ 6 (if 2x-2 < 0)__________________________________________________________
Solving these 2 inequalities:
Solving inequality 1:
2x - 2 ≥ 6
2x ≥ 8 [adding 2 on both sides]
x ≥ 4 [dividing both the sides by 2]
This is the solution of the inequality if: 2x-2 ≥ 0
Solving Inequality 2:
-(2x-2) ≥ 6
It can be rewritten as:
2 - 2x ≥ 6
2 ≥ 6 + 2x [adding 2x on both the sides]
-4 ≥ 2x [Subtracting 6 from both sides]
x ≤ -2 [Dividing both sides by 2]
This is the solution of the given inequality if: 2x-2 < 0
__________________________________________________________
Solution of the given Inequality:
Therefore, the solution of the given inequality |2x-2| ≥ 6 are:
x ≥ 4 (if 2x-2 ≥ 0)
x ≤ -2 (if 2x-2 < 0)
Hence, option C is correct!
PLEASEEEE HELP AND SHOW WORK WILL GIVE BRAINLIEST... LOVE Y'ALL!!! The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 5 hours at 950 km/h, how long would it take at 850 km/h?
Answer:
4 hour
Step-by-step explanation:
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane i.e.
[tex]t\propto v^2[/tex]
Here, t₁ = 5 h, v₁ = 950 km/h, v₂ = 850 km/h, t₂=?
[tex]\dfrac{t_1}{t_2}=\dfrac{v_1^2}{v_2^2}\\\\t_2=\dfrac{t_1v_2^2}{v_1^2}\\\\t_2=\dfrac{5\times (850)^2}{(950)^2}\\\\t_2=4\ h[/tex]
If the speed is 850 km/h then the time is 4 h.
What is the domain of the square root function graphed below?
Answer:
The domain of the graph must be [tex]x\ge \:-4[/tex].
Therefore,
[tex]x\ge \:-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]
Hence, option a is true.
Step-by-step explanation:
From the graph, it is clear that the graph is heading towards positive infinity from x=-4.
The point x=-4 is included in the graph as the starting point of the graph i.e. x=4 is showing a closed circle on x=4, and heading towards positive infinity onward.
i.e. [-4, ∞)
Hence, the domain of the graph must be [tex]x\ge \:-4[/tex].
Therefore,
[tex]x\ge \:-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]
Hence, option a is true.