Answer:
[tex]F'G' = 7[/tex]
Step-by-step explanation:
Given
[tex]F = (-2,4)[/tex]
[tex]G = (-2,-3)[/tex]
Required
Distance of F'G'
The transformation that give rise to F'G' from FG are:
TranslationReflectionThe above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.
i.e.
[tex]F'G' = FG[/tex]
Calculating FG, we have:
[tex]FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Where:
[tex]F = (-2,4)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]G = (-2,-3)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}[/tex]
[tex]FG = \sqrt{(0)^2 + (7)^2}[/tex]
[tex]FG = \sqrt{0 + 49}[/tex]
[tex]FG = \sqrt{49}[/tex]
Take positive square root
[tex]FG = 7[/tex]
Recall that:
[tex]F'G' = FG[/tex]
[tex]F'G' = 7[/tex]
Please help I can’t fail
Answer:
B
Step-by-step explanation:
line b is the closest to all the points on the graph
Find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year. P = $3,500 r= 5% t = 10 k = 4
A = ?
Answer:
To the nearest cent, the accumulated amount over the 10 years is $5,752.67
Step-by-step explanation:
Here, we want to use the given formula to find the accumulated amount on the deposit/investment
we have this as follows;
A = P(1 + r/k)^kt
P is the amount invested which is the principal = $3,500
r is the interest rate = 5% = 5/100 = 0.05
k is the number of times interest is compounded yearly = 4
t is the number of years = 10
Substituting these values in the formula, we have;
A = 3500(1 + 0.05/4)^(4 * 10)
A = 3500 (1 + 0.0125)^40
A = 3500(1.0125)^40
A = $5,752.67
A bottle of cough syrup has
300 mL. If you take 5-mL
spoonfuls 3 times a day, how
many days will the cough syrup
last?
Answer:
20 days?
Step-by-step explanation:
3 times a day is 15 and 300 ÷ 15 = 20
Find the volume of this square
based pyramid.
5ft
6 fi
Answer:
60ft
Step-by-step explanation:
I am here to help the people. You will never hear from me again, but know this, I will always be there to help strangers on the internet. Have a blessed life, you got this.
X = 60ft
If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 4z + 3x - y
Answer:
the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them
If AABC = APQR, then
AB =
Help please
Answer:
PQ should be the answer
Step-by-step explanation:
quick help plzz!!!!!!!
Two six-sided number cubes are rolled at the same time. What is the probability that the result will have at least one two in it?
(A)7/36
(B)1/5
(C)11/36
(D)1/6
Answer:
1/6
Step-by-step explanation:
There are 12 numbers in total. There is a 2 on each cube so there are two possible chance. 2/12=1/6 2/2=1 and 12/2=6 therefore 2/12=1/6
The solution is, the probability that the result will have at least one two in it is, 1/6.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
Two six-sided number cubes are rolled at the same time.
so, we get,
There are 12 numbers in total.
There is a 2 on each cube so there are two possible chance.
2/12=1/6
2/2=1
and 12/2=6
now, we have,
therefore 2/12=1/6.
Hence, The solution is, the probability that the result will have at least one two in it is, 1/6.
To learn more on probability click:
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What is the measure of an angle that is 3/6 of a circle?
Answer:
180 degrees
Step-by-step explanation:
A whole circle is 360 degrees and 3/6 of that (or 1/2) is 180 degrees. I hope this helps!
Classify the following polynomial by the degree and number of terms.
2x3+3x2-5x+20 I will give brainliest for correct answer
Answer:
Number of terms classification: Occasionally a quadrinomial.
Degree classification: 3rd degree
Step-by-step explanation:
There are four terms hence the name, quadrinomial.
The highest exponent is 3, so it is to the third degree
Solve for x to the nearest 10th.
410 = 1080(0.915)^x
Answer:
410/1080=(0.915)^x
0.379=(0.915)^x
ln0. 379/ln0.915=x
X=10.903
PLEASE HELP ASAPPPP!!!!!!!!
Answer:
slope: 1.25
Part B: The order in which the points are given does not change the value of the slope
Step-by-step explanation:
Part A. Given two points we can find slope using the slope formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Given the points ( -6, 1/2) and ( -4,3 )
We plug in the y values and x values (starting with the last point give )
[tex]m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\[/tex]
so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25
Part B. The order in which the points are given does not change the value of the slope
Observe -
* flip the order in which the points are given *
given (-4,3) and (-6,1/2)
we use the same formula
*plug in the y and x values starting with the last point*
[tex]m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25[/tex]
The slope still equals 1.25 meaning that the order in which the points are given does not matter.
Simplify the quotient
7^8 / 7^3
Answer:
D) 7⁵
Step-by-step explanation:
1) Use Quotient rule: x^a/x^b = x^a-b.
[tex] {7}^{8 - 3} [/tex]
2) Simplify 8 - 3 to 5.
[tex] {7}^{5} [/tex]
3) Simplify.
[tex]16807[/tex]
The answer is option D. 7⁵.
For which value of is the following number undefined
x - 3 / x + 4
Answer:4x - 2 = 3x + 1
Step-by-step explanation: shooooooooo papi
Answer:
x = - 4
Step-by-step explanation:
The denominator of the rational expression cannot be zero as this would make it undefined.
Equating the denominator to zero and solving gives the value that x cannot be, that is
x + 4 = 0 ⇒ x = - 4
Thus x = - 4 is the excluded value
pls answerrrrrr<3333
Answer:
[tex](x+6)(x+10)[/tex]
Step-by-step explanation:
Break the expression into groups, [tex]=(x2+6x)+(10x+60)[/tex]
Factor out x from [tex]x2+6x: x(x+6)[/tex]
Factor out 10 from [tex]10x+60: 10(x+6)[/tex]
[tex]=x(x+6)+10(x+6)[/tex]
A figure is shown.
What is the value of m?
___ degrees
Answer:
58°
Step-by-step explanation:
Good luck , hope it helped you :)
Answer:
58 degrees
Step-by-step explanation:
Since a straight line is 180 degrees then we can find out the two missing angles within the triangle.
180-126=54
180-112=68
54+68=122
180-122=58
m=58 degrees
Hope this helps :)
how do this math problem?
of shaded region shapes
question 2)
find the area of each shape.
All measurements are in centimetres.
and please explain me to how to do this cuz I don't understand my teacher in maths
Answer:
photo isn't clear, first of all u have to click clear picture
which table shows the relationship y=k/x where k is a real number
Answer:
the answer is 1/5 because y/x gives you k
Step-by-step explanation:
Simplify, give answer in exponential form: 3^9 x 3^4
Answer:
In exponential form, the correct answer is [tex]3^{13}[/tex].
Step-by-step explanation:
When you're multiplying exponents with the same base together, you keep the base the same and add the powers of the two exponents together. In this case, [tex]3^{9} * 3^{4} = 3^{9+4} = 3^{13}[/tex].
Can anyone help me with 6? Please
Answer: (2)
Step-by-step explanation: y=18(0.75) 0.75 as a percent is 75%, kind of like what would happen in the graph with the mathematical term Pneumonoultramicroscopicsilicovolcanoconiosis.
I need help with this i don’t understand this
Answer:
13.<CAF = 145
14.<ABC = 50
15.<KCJ = 95
16.<ABG = 130
17.<BCJ = 85
18.<CAB = 35
19.<x =60
20.<y =120
21.<z = 133
22.<w = 47
23.<m = 128
24.<p = 52
Step-by-step explanation:
It just looking at the vertically opposite angle to find the exact angle.
Ex. <CAF = <BAD
FREE PTS! If you were to go to any dream reality, where would you go?
Answer:
I would be in vampire diaries world bc why not
Answer:
I would go to a dream reality where I could hop into any book, or fanfiction of my choosing, and actually talk and communicate with the characters, with all the characters knowing I was always there, just didn't talk to me much, and if the people there have powers, I can choose mine.
Step-by-step explanation:
2
✓3
✓5
✓6
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 18 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for 1, and do not round your answer. Be sure to include the correct unit in
your answer.)
0
ft
ft?
ft
18
х
?
24 ft
Answer:
Area = 559.17 sq ft
Step-by-step explanation:
Area (rectangle) = 18 x 24 = 432
Area (semi-circle = πr²÷2 = 81π/2 = 127.17
help plz!
lines a and b are parallel m∠4=
The angle 4 and 120 degrees angles are alternate angles. Therefore, ∠4 = 120 degrees.
What is an alternate angle?Alternate interior angles are the angles formed when a transversal intersects two parallel lines.
Alternate interior angles are the angles formed on the opposite sides of the transversal.
Alternate interior angles are congruent.
Therefore,
∠4 is an alternate interior angle to angle 120 degrees.
Therefore,
∠4 = 120 degrees.
learn more on alternate interior angles here: brainly.com/question/14693114
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answer this qustion plz and if get right i might give you brainlist
Answer:
A
Step-by-step explanation:
SO right off the bat it cannot be c, for they do definatly change.
Next, lets find out how much they change by.
The median would now be 120. Since adding 1 more number would make it just 120. Instead of it being 120+130/2.
This is a decrease of 5. Because we can just subtract normal number by new number: 125-120=5.
Now, the mean is already 500/4. This equals 125.
So lets add 0 to that. So now we must divide it by 1 more number, 4+1=5.
That is 500/5. This equals 100.
This is a decrease of 25. Because we can again subtrasct the normal number by the new number: 125-100=25
That is 5x more of a decrease than the mean.
SO it must be A, since the mean decreased more than the median.
The Americans with disabilities act sets a maximum angle for a wheelchair ramp entering a business at 4.76 degrees. Determine the horizontal distance needed to accommodate a ramp that goes up to a door.
Answer:
Step-by-step explanation:
tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.
d=h/tanα, we are given that h=4ft and α=4.76° so
d=4/tan4.76° ft
d≈48.04 ft (to nearest hundredth of a foot)
Which one should I choose?
Answer:
∠ 1 = 58°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
117° is an exterior angle of the triangle, then
∠ 1 + 59° = 117° ( subtract 59° from both sides )
∠ 1 = 58°
Please help me I have 10 minutes no scams I’m in 7th grade
Answer:
The answer is 37
Step-by-step explanation:
180- 143= 37
Please, multiply the following Algebric sum.........
3ab+2bc, 5bc
Answer: The required product of two given algebraic expressions =15abc +10b²c²
Step-by-step explanation:
Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc
i.e. The required product = (3a+2bc) x (5bc)
= 3a x 5bc + 2bc x 5bc [Using right distributive property: (a+b)c= ac+bc]
= (3x 5) abc + (2 x 5) (bc)²
= 15abc +10b²c²
Therefore, the required product of two given algebraic expressions = 15abc +10b²c²
Oliver found a list of the number of roller coasters at each amusement park in the state. 11, 17, 28, 17, 40, 44, 19, 45, 49, 31 What is the median?
Answer:
29.5
Step-by-step explanation:
Order from least to greatest
11, 17, 17, 19, 28, 31, 40, 44, 45, 49
Then find the middle number which is 28 and 31 so add the two numbers
28 + 31 = 59
then
59 divided by 2 = 29.5