Answer:
The equation of the line that is perpendicular to y = 2x + 2 is
y = -1/2x
Step-by-step explanation:
The original equation is y = 2x + 2; it's slope is 2
Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.
Example:
y = 2x + 2 so,
the perpendicular line's slope must be -1/2
Write a new equation with the new slope:
y = -1/2x + b
We know that this line passes through (8, -4)
Plug these coordinates in the equation to find b, the y-intercept
-4 = -1/2 (8) + b
-4 = -4 + b
0 = b
b = 0
We do not have to write y = -1/2x + 0
So, our final answer is "y = -1/2x is perpendicular to y = 2x+2"
. Your friend claims that it is not possible to have a glide reflection if you have one translation followed by two reflections. Is your friend correct? Explain your reasoning.
Answer:
Yes my friend is correct
Step-by-step explanation:
You cannot have a glide reflection if you have one translation which is followed by two ( 2 ) reflections .
This is because Glide reflection is made up of one ( 1 ) reflection in line with a single translation along the same line
Glide reflection is known as an opposite isometry of the Euclidean plane
Glide reflection is a single operation that involves a reflection over a line and followed by a translation.
Your friend's claim is correct.
From the definition, we can deduce that glide reflection consists of:
1 reflection1 translationThis means that: 1 translation and 2 reflections is not a glide reflection
Hence, your friend's claim is correct.
Read more about glide reflection at:
https://brainly.com/question/2975847
A man 2 m high observes the angles of elevation of the rops of house and a window on its sode are 45 and 60 respectively. If the top is at height of 12m above the ground , find the height.
Answer:
The height of the window = x + 2 = 4.23 + 2= 6.23m
Step-by-step explanation:
The angle of elevation of the top of the house and the window is 60 and 45 degree.
We can proceed as drawing a diagram as a man of height 2m and a building of total height 12m.
draw a horizontal line along the height of a man so that it touches building at height 2mtill the window height we assume its height as 'x' from the man's height.distance till the top from the window will be 'y'we don't know the distance between man and the building let it be 'b'
[tex]\frac{x}{b}=tan 45[/tex] =1
x=b .............(1)
total height of the building is given as 12m
x + y + 2=12
x + y = 10 .....................(2)
[tex]\frac{x+y}{b} =\frac{x+y}{x }[/tex] = tan 60
[tex]\frac{10}{x} = \sqrt{3}[/tex]
x = [tex]\frac{10}{\sqrt{3} }[/tex] ≈ 5.77m
y = 10 - [tex]\frac{10}{\sqrt{3} }[/tex]
y= 10(1-[tex]\frac{1}{\sqrt{3} }[/tex] ) ≈ 4.23m
The height of the window = x + 2 = 4.23 + 2= 6.23m
Find the slope of the line between the points (-2, 7) and (10, 3)
Answer:
m = -1/3
Step-by-step explanation:
PLEASE ANSWER THESE 2 QUESTIONS!!!!!! THIS IS A MAJOR GRADE!!!!!!!!!!!!!!!!!
Answer:
I cant see the problems
Step-by-step explanation:
Evaluate the expression when a=4 and b=43
complete the missing value in the solutuion to the equation
Answer:
Step-by-step explanation:
5x-2y=30
Given x=8
5×8-2y=30
-2y=30-40
y=5
solve: -3 |x-3| = -6
Answer:
x = 5
Step-by-step explanation:
-3 * (x-3) = -6
3x+9 = -6 (divide by 3)
-x + 3 = -2 (minus 3)
-x = -5 (multiply by -1)
x = 5
Answer & Step-by-step explanation:
For the members of the golf club the ratio men:children = 11:2. The ratio women:children is 10:3. Find the ration men:women
x/9 - 1 = 2 solve for x
Answer: x=27
Step-by-step explanation:
Two-thirds of the T-shirts in a T-shirt shop are blue. Three-sevenths of those T-shirts are on sale.
One-half of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are
blue T-shirts that are on sale and are size medium? Explain.
Answer:
1/7
Step-by-step explanation:
Of all the shirts, 2/3 of the t-shirts are blue.
Of the blue shirts, 3/7 are on sale. Of all the shirts, 2/7 are on sale and blue.
[tex]\frac{2}{3}*\frac{3}{7} =\frac{2}{7}[/tex]
Of the blue shirts on sale, 1/2 are size medium. Of all the shirts, 1/7 are on sale, blue, and size medium.
[tex]\frac{2}{7} *\frac{1}{2} =\frac{1}{7}[/tex]
Combine and simplify the following radical expression. (2^3 square root 12)(3^3 square root 2)
Answer:
(2^3 square root 12)(3^3 square root 2)(32 square root)
Step-by-step explanation:
i lie
Answer:
432
Step-by-step explanation:
I checked it trust me
The drawing of the building, shown below, has a scale of 1 inch to 30 feet. What is the actual height, in feet, of the building?
Answer:
Actual height of the building is 37.5 feet
Step-by-step explanation:
Formula to be used to get the actual length of the building,
Scale used = [tex]\frac{\text{Dimension of image (on map)}}{\text{Dimension of actual}}[/tex] = [tex]\frac{1}{30}[/tex]
By this formula,
[tex]\frac{1.25}{\text{Actual height}}=\frac{1}{30}[/tex]
Actual height of the building = 1.25 × 30
= 37.5 feet
Therefore, actual height of the building will be 37.5 feet.
PLEASE HELPP!!!! 30 POINTS!!!
In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.
Also, AY = 7. BZ = 8, and XZ = 18. What is the perimeter of Triangle ABC?
Make sure you explain why and show all your work.
Answer:
The perimeter of triangle ABC is 33.
Explanation:
AY = 7 is half of the line of XY so we would then multiply 7 by 2:
7 x 2 = 14
and we would then do this to all of our numbers:
8 x 2 = 16
18 x 2 = 36
now we make a full equation for the answer of the perimeter of triangle XYZ:
14 + 16 + 36 = 66
66 is the perimeter of triangle XYZ.
We would then divide this answer by 2 to find the perimeter of ABC because it is half of XYZ:
66 ÷ 2 = 33
The perimeter of triangle ABC is 33
Hope this helps! :)
Help me out here...........
Answer:
false cause if they both were added it would be 2/9ths
Step-by-step explanation:
answer:
JUST READ EXPLANATION!!!
Step-by-step explanation:
well, 1/3 divided by 3 =1/9
Sum of Angles
Find the value of x and the measure of every angle.
It is Geometry
Rewrite as a unit rate
Answer:
I think its letter A
Step-by-step explanation:
hoped it helped
can anyone help me with this question?
Answer:
The answer is D, or 5/7
Answer:
The slope is 5/7
Step-by-step explanation:
From a point to get to the next point, you would need to go 5 up and 7 to the right in this graph.
Asha borrowed Rs.24000 from a moneylender at a rate of 4% per annum compounded semi annually ,what payment will she have to make after 1year and 6 months to the moneylender to clear her debt ?
Answer:
Rs. 25,468.8
Step-by-step explanation:
A = p(1 + r/n)^nt
Where,
P = principal = RS. 24,000
r = interest rate = 4%= 0.04
n = number of periods = 2
t = years = 1 year and 6 months = 1.5 years
A = p(1 + r/n)^nt
= 24,000(1 + 0.04/2)^2*1.5
= 24,000(1 + 0.02)^3
= 24,000(1.02)^3
= 24,000( 1.0612)
= 25,468.8
A = Rs. 25,468.8
share £40 in the ratio 1:3:4
Answer:
hi
Step-by-step explanation:
1x+3x+4x= £40
1. 8x=£40
2. X=40/5
3. X=£5
1×£5= £5
3×£5= £15
4×£5= £20
each will get
£5
£15
£20
Hope It Helps You
The figure below shows the first 3 steps in the construction of a Sierpinski Triangle.
1 equilateral 3 congruent 9 congruent
triangle
equilateral equilateral
triangles
triangles
Which property explains why each of the 9 small triangles in step 3 is similar to the large triangle in step 1?
A. The side-side property of congruent triangles can be used because all the sides of an equilateral triangle are similar.
B. The side-side property of similar triangles can be used because all the sides of an equilateral triangle are congruent.
C. The angle-angle property of congruent triangles can be used because all the angles of an equilateral triangle are similar.
D. The angle-angle property of similar triangles can be used because all the angles of an equilateral triangle are congruent.
ок
Answer:
c
Step-by-step explanation:
Answer the questions. All help needed.
1. Multiply all the x and y by 2
M (-6,4)
A (-4,6)
T (-2,4)
H (-4,2)
2. They stayed in the same quadrants. The x and y values shifted.
3. Scale factor of 1/2
4. .....mayhaps?
A circle has a diameter of 26 mm. What Is Its circumference?
Use 3.14 for 1, and do not round your answer. Be sure to Include the correct unit in your answer
Select the correct answer.
What is the solution to this equation?
4(^3 sqrt x – 2) + 1 = 9
A. 10
B. 6
C. 0
D. 8
Answer:
I got B too so I sure could be right answer but if it's not then I so sorry. B. 6
The solution of the given equation [tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9 will be x = 1.08.
What is a equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given is the following equation -
[tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9
The given equation is -
[tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9
[tex](4)^{3\sqrt{x} -2}[/tex] = 8
Assume 3[tex]\sqrt{x}[/tex] = n. Then, we can write the equation as -
(4)ⁿ ⁻ ² = 8
(4)ⁿ ÷ (4)² = 8
(4)ⁿ x 1/(4)² = 8
(4)ⁿ = 8 x 16
(2)²ⁿ = (2)³ x (2)⁴
2n = 3 + 4
2n = 7
n = 7/2
3[tex]\sqrt{x}[/tex] = 7/2
[tex]\sqrt{x}[/tex] = 7/6
x = 1.08
Therefore, the solution of the given equation [tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9 will be
x = 1.08.
To solve more questions on solving equations, visit the link below-
https://brainly.com/question/12113848
#SPJ2
¿Cuántos enteros divisibles por 4 y por 9 hay entre 95 y 450?
Answer:
Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.
Step-by-step explanation:
Podemos reescribir esta pregunta como sigue: ¿Cuántos números entre 95 y 450 son divisibles por 36? Entonces, existe un conjunto de números enteros [tex]A[/tex] tal que cada elemento satisface la condición que:
[tex]A = \{x= \frac{n}{36}\,\land \,95\le n \le 450, n, x\in \mathbb{Z}\}[/tex] (1)
Sabemos que el entero más pequeño divisible por 36 es:
[tex]x_{min} = \frac{108}{36}[/tex]
[tex]x_{min} = 3[/tex]
Mientras que el entero más grande divisible por 36 es:
[tex]x_{max} = \frac{432}{36}[/tex]
[tex]x_{max} = 12[/tex]
La cantidad de enteros divisibles se obtiene a través de la siguiente expresión algebraica:
[tex]a = 1+(x_{max}-x_{min})[/tex] (2)
[tex]a = 1+(12-3)[/tex]
[tex]a = 10[/tex]
Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.
Will mark Brainliest!!
Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation
() = −16^2 + 80 where t is time in seconds and f(t) is height in feet. Find how long it will take the
arrow to hit the ground using an algebraic method. Show all of your reasoning/steps used with this algebraic
method.
Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how
long it takes for this to occur using an algebraic method. Show all of your reasoning used with this
algebraic method
Answer:
64 higene
Step-by-step explanation:
16 morderate 20 9 oxygen
Which line is a linear model for the data?
Plz help ASAP
Answer:
the one you have clicked is correct just took that quiz
Step-by-step explanation:
10 x 10= 100
mbnv nmvbnhm
mb cvnmbnbn
Answer:
well your ans is right over there...
Step-by-step explanation:
thank you!!
Answer:
Yeah...10*10 = 100so what?A mudslide left 42 acre-feet of mud in a valley. The mud is being
removed at the rate of 5 acre-feet per day.
Answer:
8.4 days
Step-by-step explanation:
I'm not sure what the question is, but if it's how many days it would take to remove all the mud, you divide 42 by 5 and get 8.4.
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?
Answer:
the answer is 6x or by and ax6x 9x
Step-by-step explanation:
The product of a number and negative 7/10 is 1/2 what is the number
Answer:
5/7
Step-by-step explanation
The product of a number and negative 7/10 is 1/2 can be written as 1/2=(7/10)x, with this equation, multiply by the reciprocal, 10/7, to make the right side of the equation just x. On the left side, multiply 1/2 by 10/7 because when you do something on one side, you must do it on the other. 1/2 times 10/7 equals 5/7. Leaving you with x=5/7