Answer:
[tex]5a^2-8a[/tex]
Step-by-step explanation:
[tex]6(1-a^2)-2(3-a+2a^2)+5(-2a+3a^2)[/tex]
[tex](6)(1)+(6)(-a^2)+(-2)(3)+(-2)(-a)+(-2)(2a^2)+(5)(-2a)+(5)(3a^2)[/tex]
[tex]6+-6a^2+-6+2a+-4a^2+-10a+15a^2[/tex]
[tex](-6a^2+-4a^2+15a^2)+(2a+-10a)+(6+-6)[/tex]
[tex]5a^2-8a[/tex]
find the coordinates of the vertices of a quadrilateral after reflection across the parallel lines; first across the x-axis and then across the line y= 1.
R(0,1), S(3,0), T(5,-4), Q(1,-3)
Answer:
R'(0, 3), S'(3, 2), T'(5, -2), Q'(1, -1)
Step-by-step explanation:
The first reflection gives you the transformation ...
(x, y) ⇒ (x, -y)
The second reflection gives you the transformation ...
(x, y) ⇒ (x, 2 -y)
Applying the second transformation to the result of the first gives the overall transformation ...
(x, y) ⇒ (x, 2 -(-y)) = (x, 2+y)
That is, the double reflection is equivalent to a translation upward of 2 units. So, we add 2 to each y-value:
R'(0, 3), S'(3, 2), T'(5, -2), Q'(1, -1)
Compare these three ratios using fractions.
3 to 2 5:6 8 to 12
Think about the steps you could take to compare the ratios using fractions.
The first step is to write the ratios as fractions.
The next step is to use a to rewrite the fractions.
Finally, compare the to help you order the ratios.
Answer:
he first step is to write the ratios as fractions.
The next step is to use a
✔ common denominator
to rewrite the fractions.
Finally, compare the
✔ numerators
to help you order the ratios.
Step-by-step explanation:
1. Common denominator
2. Numerators
Alice earns £450 in wages per month. She pays £200 in rent per month. Next month, • her wages will increase by 2% • her rent will increase by 5% She says “The increase in my wages will pay for the increase in my rent” Is she correct? You must show your working.
Step-by-step explanation:
Wages
£450
450 x 1.02 = 459
Rent
£200
200 x 1.05 = 210
wages increases by £9
rent increases by £10
No the increase in her wages will not fully pay for the increase in the rent
i’m so confused! i tried to watch a video on it but i don’t understand and we need to do work :(
the 9. is 7(y + 2)is 7+2 i think.
10. 8+4
11. 8+9
12. 5+12
13. 2+4
14. 6+7
15. 15-5
16. 5-3
17. 11-6
I rewrite I think if that is correct.
Byee
answer
Step-by-step explanation:
9) 7y+14
10) 32+4r
11) 8x+72
12) 12b+60
13) 8+4a
14) 42+7v
15) 15b-75
16) 15-3v
17) 66-6s
find the coordinates of F' after reflection across the line
x = -1 and then across the line
y = -1. Answer in form (a,b). Part 6a
=============================================================
Explanation:
Focus on point F only. Ignore the other points.
Point F is at (-5, -5).
The x coordinate of this point is x = -5
The horizontal distance from x = -5 to the reflection line x = -1 is 4 units. We move 4 units to the right going from x = -5 to x = -1. Move another 4 units to the right to land on x = 3
Point F = (-5, -5) reflects over x = -1 to land on point G = (3, -5) as shown in the diagram below.
Then going from point G to H has us move upward 4 units up to land on the purple line y = -1, then another 4 units up to finally arrive at point H = (3,3). This is also the location of F'.
Urgent! Please help... The point (5, -6) is reflected over the x-axis. The coordinates of reflected point are (_______). A. (5, 6) B. (5, -6) C. (-5, 6) D. (-5, -6)
Answer:
(5,6)
Step-by-step explanation:
solve as whole number
Answer: x < 25
Step-by-step explanation:
2/3(x+2)-1/2(x-4)>1/4(x+5)
2/3x+4/3-1/2x+2>1/4x+5/4
Multiply both sides by 12
8x+40-6x>3x+15
2x+40>3x+15
2x-3x>15-40
-x > -25
x<25
Answer:
{x:x=[[3,4,5,6...]}
Step-by-step explanation:
x∈W
[tex]\frac{2}{3}(x+2)-\frac{1}{2}(x-4)>\frac{1}{4}(x+5)\\\frac{2x+4}{3}-\frac{x+4}{2}>\frac{x+5}{4} \\\frac{2(2x+4)-3(x+4)}{2*3}>\frac{x+5}{4} \\\frac{4x+8+3x-12}{6}>\frac{x+5}{4} \\\frac{x}{y} \frac{x-4}{6}>\frac{x+5}{4}\\ 4(x-4)>6(x+5)\\ 4x-16>6x+30\\ 4x-6x>30+16\\ -2x>46\\ x<-23\\x= no solution[/tex]
The length of a rectangle is 4 inches more than its width and its perimeter is 34 inches find the length and width of the rectangle if w= the width of the rectangle then the length equals
Answer:
The length and width of the rectangle are 10.5 in and 6.5 in respectively.
Step-by-step explanation:
P = 2L + 2W
P (perimeter of the rectangle) = 34 in
L (length of the rectangle) = 4 in + W (width of the rectangle)
Therefore, L = 4 + W
P = 2L + 2W
34 = 2(4 + W) + 2W
34 = 8 + 2W + 2W
34 - 8 = 4W
26 = 4W
W = 26/4 = 6.5 in
L = 4 + W = 4 + 6.5 = 10.5 in
L = 10.5 in
W = 6.5 in
Please answer correctly !!!!!!!!!! Will make brainliest !!!!!!!!!!!!!
Answer:
33
Step-by-step explanation:
Let's call their ages m and b.
We have:
m = b + 12
m - 17 = 4(b - 17) → m = 4b - 51
b + 12 = 4b - 51
3b = 63
b = 21
m = 21 + 12 = 33
Answer:
33.
Step-by-step explanation:
If Michael's age is x years now then Brandon's age is x - 12.
17 years ago Michael was x - 17 years old and this was 4 times Brandon's age so:
x - 17 = 4(x - 12 - 17)
x - 17 = 4x - 48 - 68
4x - x = -17 + 48 + 68
3x = 99
x = 33.
So Michael is now 33 years old.
If the sampled population has a mean of 48 and standard deviation of 16, then the mean and the standard deviation for the sampling distribution of x¯ for n = 16 are 4 and 1. 12 and 4. 48 and 4. 48 and 1. 48 and 16.
Answer:
48 and 4
Step-by-step explanation:
If we assume that [tex]\bar X[/tex] to be the random variable that proceed the normal distribution with mean [tex]\mu[/tex] and a standard deviation [tex]\dfrac{\sigma }{\sqrt{n}}[/tex]
Given that:
mean =48
standard deviation = 16
sample size = 16
The population mean is same as the population mean in sampling distribution that is 48.
The standard deviation of the sampling distribution is therefore calculated as:
standard deviation = [tex]\dfrac{\sigma }{\sqrt{n}}[/tex]
standard deviation = [tex]\dfrac{16 }{\sqrt{16}}[/tex]
standard deviation = [tex]\frac{16}{4}[/tex]
standard deviation = 4
Thus; the mean and the standard deviation of the sampling distribution is 48 and 4
how to solve triangles using the law of sines?
Answer:?
The following list shows how many brothers and sisters some students have:
2, 4, 3, 3, 4, 2, 4, 3, 3, 2, 3, 4
State the mode.
Step-by-step explanation:
plsss! help me will mark brainlest!
Answer:
Two polygons are similar with factor k.
=> The ratio between the area of two polygons: r = k^2
=> Here, the area of polygon B is larger than polygon A: 5^2 = 25 times
Hope this helps!
:)
Answer:
Area of polygon B is larger than the area of Polygon A by 25 times.
Step-by-step explanation:
The simplest way of finding this would be to draw a rough image of polygon A and B.
Let's say you drew Polygon A and B as rectangles. Since the scale factor is 5, the dimensions of the sides of polygon B would be 5 times as that of the dimensions of polygon A.
if you label the dimensions of Polygon A as length 2cm and width as 1cm, its area would be 2 square centimetres.
now keeping the scale factor of 5 in mind, multiply the length and the width by 5. you will get the length of polygon B as 10cm and width as 5cm. the area of polygon B becomes 50 square centimetres.
once you have done this, you will realise that the area of polygon B is 25 times the area of polygon A.
Hope this helped:)
A triangle has the coordinates
A(4, -1), B(3, -3), and C(0, 2).
Reflect the triangle over the y-axis and find the coordinates of its image.
A(4, -1) - AU
B(3,-3) - BO
C(0, 2) - C'e
-od
Answer:
coordinates of its image
A' = ( -4, -1)
B' =( -3, -3)
C' = ( 0, 2)
Step-by-step explanation:
Reflect in y-axis means mirror it's points in the y -axis.
This means that the x coordinate of each point, changes only. Any mirrored point in the y-axis, will change only, by multiplying the x-coordinate by -1.
(Remember, zero multiplied by -1 remains 0).
Given are these points A, B, and C.
A = (4, -1)
B = (3,-3)
C = (0, 2)
After mirroring in the y- axis you get:
A' = ( -4, -1)
B' =( -3, -3)
C' = ( 0, 2)
1/3 divided 8/9 I wan kno the answer
√x =a solve for x
please help I need the answer ASAP.
Answer: 2
Step-by-step explanation:
Answer:
x = a²
Step-by-step explanation:
To undo the square root, you have to square both sides of the equation so it becomes...
(√x )² = a²
That undoes the square soot so it is
x = a²
What is the value of x in the equation 3x – one-ninthy = 18, when y = 27?
Answer:
7
Step-by-step explanation:
3x- 1/9y = 18
value of x when y is 27
3x- 1/9*27 = 18
3x- 3 = 18
3x = 18 + 3
3x = 21
x= 21/3
x = 7
Hope this helps you!
Answer:
x = 7
Step-by-step explanation:
3x-1/9(27) = 18
x = 21/3
=7
write the equation of the line passing through the given point T (-6,2) and is parallel to the line
y=2/3x
Answer:
y = [tex]\frac{2}{3}[/tex] x + 6
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 )
y = [tex]\frac{2}{3}[/tex] x ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex] and c = 0
Parallel lines have equal slopes , thus
y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 6, 2) into the partial equation
2 = - 4 + c ⇒ c = 2 + 4 = 6
y = [tex]\frac{2}{3}[/tex] x + 6 ← equation of parallel line
what are the properties ?
Line 1: (-7x+3)+2x
Line 2: (3+(-7x))+2x
Line 3: 3+(-7x+2x)
Line 4: 3+(-5x)
Step-by-step explanation:
line number Property
Line 1: (-7x+3)+2x associative (gathering -7x and 3)
Line 2: (3+(-7x))+2x. Commutative (change the positions of 3 and -7x)
Line 3: 3+(-7x+2x). associatI’ve
Line 4: 3+(-5x)
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
Step-by-step explanation:
x^2+4x+4=x²+2x+2x+4
=x(x+2)+2(x+2)
=(x+2)(x+2)
=(x+2)²
side length=x+2 meters
Please help! Correct answer only please!
Mike recently increased the size of his truck tires from 26.16 inches to 28.95 inches. If mike didn't re-calibrate his speedometer, how fast is he really going on the new tires when his speedometer shows he is traveling 60 mph?
Group of answer choices
A. 54.2 mph
B. 63.8 mph
C. 66.4 mph
D. 69.7 mph
Answer:
C. 66.4 mph
Step-by-step explanation:
∵ The ratio of speed of motorcycle and the circumference of the tyre is constant for a motorcycle,
If x be the speed ( in mph ) of a motorcycle having the tyre of diameter 28 inches,
⇒ The ratio of speed and circumference = \frac{x}{2\pi (14)}
( Because radius = Diameter / 2 ),
While, the speed of the same motorcycle having the tyre of diameter 25 inches is 60 mph,
⇒ The ratio of speed and circumference = \frac{60}{2\pi (12.5)}
By the above statement,
\frac{x}{2\pi (14)}=\frac{60}{2\pi (12.5)}
\implies x=\frac{60\times 14}{12.5}=\frac{336}{5}=67.2\approx 67
So, the actual speed of the motorcycle after changing the tyre is 67 mph ( approx )
Hence, option 'C' is correct.
Step-by-step explanation:
Which equation is equivalent to logx 36 = 2?
Answer:
The answer would be 36^2=x
Step-by-step explanation:
what is the fastest thing in the world
Answer:
The Speed Of Light
Step-by-step explanation:
Based on the law of syllogism, which conclusion can be drawn from the true conditional statements below?
If a number is a whole number, then it is an integer.
If a number is an integer, then it is a rational number.
If a number is a rational number, then it is a whole number.
If a number is a rational number, then it is an integer.
If a number is a whole number, then it is a rational number.
If a number is an integer, then it is not a whole number.
Answer:
c
Step-by-step explanation:
The true statement can be
If a number is a whole number, then it is a rational number.
what are law of syllogism?The Law of Syllogism says that if the following two statements are true:
(1) If p , then q .
(2) If q , then r .
Then we can derive a third true statement: (3) If p , then r .
we have given that
If a number is a whole number, then it is an integer.
If a number is an integer, then it is a rational number.
So, using the law of syllogism the true statement can be
If a number is a whole number, then it is a rational number.
Learn more about law of syllogism here:
https://brainly.com/question/11306409
#SPJ2
the transformation is a rotation
true or false
Answer:
FALSE
Step-by-step explanation:
The transformation is a reflection across the line x=1.
In order from shortest to longest, the sides of the left triangle are in counterclockwise order. In the right triangle, they are in clockwise order. This indicates a reflection. A rotation does not change the (CW/CCW) orientation of the triangle.
It is False that the transformation is a rotation.
Alguien me puede explicar los binomios en matematica, porfavor :)
Answer: SEE EXPLANATION (en ingles)
Step-by-step explanation:
A binomial is an algebraic expression of the sum or the difference of two terms.
En espanol: Un binomio es una expresión algebraica de la suma o la diferencia de dos términos.
FInd the distance between the points (9,3) and (1,9)
Answer:
=10
Step-by-step explanation:
1: Add the numbers
2: Factor the numbers
3: Apply radical rule
Answer: =10
Hope this helps.
Answer:
10
Step-by-step explanation:
ok
Plz! Help me will mark brainlest!
Answer:
she increased rectangle Q by a scale factor of 36 (36 times larger)
Step-by-step explanation:
72/2=36
12/6x + 45 =-27 solve for x
Answer:
Step-by-step explanation:12/6x=-27-45
12/6x=-72
12=-72×6x
12=-432x
12/-432=x
X= -1/36
Which of the following best describes the delian problem?
A. It is the famous impossible greek antiquity
B. It was the first known problem solved by the greens using a straightedge and compass
C. It involves increasing the segment length by one third repeatedly
D. It involves the use of a flat plane in spherical geometry
Answer: B
Step-by-step explanation:Because I tried every other answer can I found out that B was right
The first known problem solved by the greens using a straightedge and compass. Then the correct option is B.
What is the Delian problem?The DELIAN PROBLEM is a mathematical term that refers to the challenge of estimating the quantity dual of a given cube's edge.
It was the first known problem solved by the greens using a straightedge and compass.
Then the correct option is B.
More about the Delian problem link is given below.
https://brainly.com/question/23639928
#SPJ2
Originally the dimensions of a rectangle were 15cm by 20cm. When both dimensions were decreased by the same amount, the area of the rectangle is half the area of the original rectangle. Find the dimensions of the new rectangle.
Answer:
Step-by-step explanation:
We can write an equation to represent this problem.
(15 + w)(20 + w) = 1/2 (15)(20)
Foil out the left side of the equation.
300 + 35w + w^2 = 150
Subtract 150 from both sides.
w^2 + 35w + 150 (I rearranged it to be in the form that is most efficient)
Now solve for variable w using the quadratic equation (look up the formula if necessary)
[-35 +_ (square root of the value of 1225-600)] / 2
[-35 +_ (SqRt of 625)] /2
(-35 +_ 25) /2
= -30, -5
I just realized that it can't increase by a negative number, so I'm not really sure of the answer. Sorry, my bad. However, I feel that this may be of help to other people anyway, so I think I'll leave it up here. Apologies again.
Feel free to read through my reasoning behind my answer, and see if it gives you any ideas or inspiration for solving this problem.