Use distance formula and take this question down, easily.
Step-by-step explanation:
Distance xy =
[tex] \sqrt{ {(x_2 - x_1) }^{2} + {(y_2 - y_1)}^{2} }[/tex]
Therefore AB
=[tex]\sqrt{(7-3)^2 +(8-4)^2}[/tex]
=[tex]\sqrt{(4)^2 +(4)^2}[/tex]
=[tex]\sqrt{32}[/tex]
=[tex]\boxed{4 \sqrt{2}-units} [/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex]\large\underline{ \boxed{ \sf{✰\:Important\: points }}}[/tex]
➢ Here question is asking to find the distance between points "A" and "B"
➢we can easily solve such ques by understanding a simple concept of Euclidean distance formula
➢ DISTANCE FORMULA :- Any algebraic expression that gives the distance between two points in a particular coordinate system in a particular number of dimensions
[tex]\rule{80mm}{2.5pt}[/tex]
[tex]{ \boxed{✜\underline{ \boxed{ \sf{Distance \: Formula = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2} } }}}✜}}[/tex]
★ Here
[tex] \sf \:➣ x_2 = 7 \\ [/tex][tex] \sf➣x_1=3[/tex][tex] \sf➣y_2=8[/tex][tex] \sf➣y_1=4[/tex][tex]\rule{80mm}{2.5pt}[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Now\: substitute\:value}}}[/tex]
[tex]\sf \: ➛ \: distance = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2}} \\ \sf \: ➛distance = \sqrt{{(7 - 3)}^{2} + {(8 - 4) }^{2}} \\ \sf ➛solving \: bracket\\ \sf \: ➛distance =\sqrt{{(4)}^{2} + {(4) }^{2}} \\ \sf \: ➛solving \: square \: roots \\ \sf \: ➛distance = \sqrt{32} \\ \sf \: ➛distance = \sqrt{16 \times 2} \\ \sf \: ➛distance = \sqrt{4 \times 4 \times 2} \\ \sf \: ➛distance =4 \sqrt{2} units[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
Hence distance of AB =
[tex]{ \boxed{✟\underline{ \boxed{ \sf{\: AB=4 \sqrt{2}units {\green ✓}}}}✟}}[/tex]
Hope it helps !
How many more pairs of parallel sides does a regular octogon have then a regular hexagon
Answer:
1 more.
Step-by-step explanation:
A regular octagon has 4 pairs.
A regular hexagon has 3 pairs.
Hope this helped. :)
Please help with question with explanations. Ty.
Answer:
last option is correct answer
Step-by-step explanation:
[tex]perimeter = 2(l + w) \\ = 2( \frac{5x + 10}{2x + 5} + \frac{x - 2}{2x + 5} ) \\ = 2( \frac{5x + 10 + x - 2}{2x + 5} ) \\ = 2( \frac{6x + 8}{2x + 5} ) \\ = \frac{12x + 16}{2x + 16} [/tex]
if f(x)= x²+x(2a+2b)+4ab-x. f'(x)=....
DON'T COPY PASTE!!! please use the methods and steps
[tex]f(x) = x^2 +x (2a+2b) +4ab-x\\\\f'(x) = 2x+x \cdot 0 + 2a+2b + 0 -1\\\\~~~~~~~~=2x+0+2a+2b-1\\\\~~~~~~~~=2x+2a+2b-1[/tex]
From the definition of the derivative,
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{f(x+h) - f(x)}h[/tex]
We have
[tex]f(x) = x^2 + x(2a+2b) + 4ab - x = x^2 + (2a+2b-1)x + 4ab[/tex]
and so
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{\left((x+h)^2 + (2a+2b-1)(x+h) + 4ab\right) - \left(x^2 + (2a+2b-1)x + 4ab\right)}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{x^2 + 2xh + h^2 + (2a+2b-1)x + (2a+2b-1)h + 4ab - x^2 - (2a+2b-1)x - 4ab}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{2xh + h^2 + (2a+2b-1)h}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} (2x + h + 2a+2b-1)[/tex]
[tex]\displaystyle f'(x) = \boxed{2x + 2a + 2b - 1}[/tex]
What is the Parent Function?
What Are The Transformations?
Answer:
Parent function:
[tex]x^2+y^2=r^2[/tex]
General equation:
[tex](x-h)^2+(x-k)^2=r^2[/tex]
Transformations:
Its a circle with a center of (100,60) and a radius of 15
Select the correct answer from each drop-down menu.
A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of
sources. For each water source, he has sample with no treatment and a sample treated with the recommended amount of the water softener
salt.
He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
The conclusion drawn from the study is
v because the sample is
v . In this instance, an
v study was
performed.
The conclusion drawn from the study is valid because the sample is homogenous. In this instance, an experimental study was performed.
What is an experimental study?An experimental study can be defined as a quantitative research method that is used by a researcher to determine and show the effects of changes in the dependent variable, while placing other relevant independent variables under control.
Based on the experimental study conducted by using water from a variety of sources, the conclusion which can be drawn from this study is valid because the sample is homogenous.
In this instance, we can infer and logically deduce that an experimental study was performed.
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a plant grew 3 1/4 inches over a - 6 1/2 month period. what was the average
Answer:
0.5 inches per a month
Step-by-step explanation:
you turn them to a decimal to make them easier and then divide them to get the answer.
What point can be found by taking the average of the endpoints of a line
segment?
O A. Endpoint
O B. Vertex
O C. Midpoint
O D. Center
Step-by-step explanation:
C. Midpoint
The average is the distance of the line divided by 2
PLSSS HELP ASAP!
(Will give brainliest)
Answer:
Question 3: D, 90°
Question 2: D, 84°
Step-by-step explanation:
Answer:
2. d. 84°
3. d. 90°
Step-by-step explanation:
Q2
32 + 64 + x = 180x + 96 = 180x = 84°Q3
20 + 70 + x = 180x + 90 = 180x = 90°A mouse climbs up a well of 86 meters. It advances 14 meters during the night, but during the day it retreats 2. The mouse will reach the surface on the day:
Step-by-step explanation:
we assume day and night are equally long.
and the mouse will start at night of day 1.
then, on day 2, it will first retreat 2 meters (during daylight) and then advance 14 meters (at night).
so, on every full day, the mouse will effectively advance 12 meters (-2 + 14 = 12).
with a starting value of 14 (the first night).
so, we are getting an arithmetic sequence
an = an-1 + c
c = 12 in our case.
a1 = 14
a2 = a1 + 12 = 14+12 = 26
a3 = a2 + 12 = a1 + 12 + 12 = 14 + 2×12 = 38
an = a1 + (n-1)×12 = 14 + 12(n-1)
at what n will it reach 86 ?
86 = 14 + 12(n-1) = 14 + 12n - 12 = 2 + 12n
84 = 12n
n = 7
so, on the 7th day the mouse will reach the surface (if we truly count the first starting night day 1 - this is up to your teacher, but I would).
Grandma Margie made 12 blankets for her grandkids. The ratio of striped to non striped blankets were 2:4. How many blankets were striped
Answer:
Total Ratio = 2+4
=6
Striped blankets = 2/6 × 12
= 4 Striped Blankets
Step-by-step explanation:
Can't really explain
math hw 1
The Normal Distribution
pls help me with my homework!!
thanks,
Using the normal distribution, it is found that the desired measures are given by:
a. Z = -0.67.
b. X = 2.2.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In item a, we have that [tex]X = 36, \mu = 40, \sigma = 6[/tex], and want to find Z, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{36 - 40}{6}[/tex]
Z = -0.67.
In item b, we have that [tex]\mu = 1.3, \sigma = 0.6, Z = 1.5[/tex], and want to find X, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.5 = \frac{X - 1.3}{0.6}[/tex]
X - 1.3 = 0.6 x 1.5
X = 2.2.
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A password is 4 characters long and must consist of 3 letters and one number. if letters cannot be repeated and the password must end with a number, how many possibilities are there? a. 175,760 b. 158,184 c. 156,000 d. 140,400 please select the best answer from the choices provided a b c d
We will see that there are 156,000 different combinations, so the correct option is C.
How many possibilities are there?
First, we need to find the selections, here we have:
First letter.Second letter.Third letter.Number.Now we need to find the number of options for each of these selections.
First letter. (26 options)Second letter. (25 options, because we can't repeat letters)Third letter. (24 options)Number. (10 options).We assumed that the number can be any integer from 0 to 9.
The total number of possibilities is equal to the product between the numbers of options, we will have:
P = 26*25*24*10 = 156,000
So, the correct option is C.
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PLEASE ANSWER ASAP
The sum of the first six terms of the geometric sequence 1, 2, 4, 8, ... is equal to the sum of
the first six terms of an arithmetic sequence that also has 1 as its first term. What is the
fifth term of the arithmetic sequence?
Answer:
FIND IT YOURSELF
Step-by-step explanation:
YOU ARE GIVEN QUESTIONS TO ANSWER FOR YOU, NOW DO IT YOURSELF.
I need some help with these please :')
Step-by-step explanation:
problem 1.
1. 6y = 30
2. y = 5
3. 3x + 2(5) = 16
4. 3x+10=16
5. 3x=6
6. x=2
solution: (2,5)
problem 2.
1. x=7
2. 4(2)-2y=18
3. 28-2y=18
4. -2y= -10
5. y=5
solution (7,5)
problem 3
10x=10
x=1
7(1) +y =-2
y=-9
(1,9)
problem 4
0= -6
no solution
problem 5
0=0
Infinite many
FIND RQ! Show work :)
Find the product of 3.145 by 3
Answer:
9.435
Step-by-step explanation:
What is the approximate Volume of the cone below?
Answer:
B - 183 cm3
Step-by-step explanation:
volume of a cone is 1/3 x pi x r^2 x H
Answer:Your answer is going to be D
Step-by-step explanation:
1/3 x 3.14 x 10^2 x 7 =732.66
Having trouble with this problem, can someone help me understand how to solve this.
Answer:
448m^3
Step-by-step explanation:
volume of pyramid = 1/3*area of base * perpendicular height
12*16=192m^2
1/3*192*7=448m^3
Can i have some Help Please I Will Give Brainlest If your Right And i need you to show your work
Perpendicular Line: y = 3x - 10
Explanation:[tex]\sf {Given:} \ y = -\dfrac{1}{3} x-4[/tex]
Comparing it with slope intercept formula: [tex]\bf y = mx + b[/tex]
where m is the slope, b is y interceptIdentify the slope for this particular function:
[tex]\star \ \ \sf slope = -\dfrac{1}{3}[/tex]
Now given that the line passes perpendicularly, then the slope shall be negatively inverse of the parallel slope.
[tex]\implies \sf \ perpendicular \ slope : \ -(\dfrac{1}{m} ) \ = \ -(\dfrac{1}{-1/3} ) \ = \ 3[/tex]
Now, find the equation:
[tex]y -y_1 = m(x - x_1) \ \ \ \ \textsc where \ (x_1, y_1 ) \ are \ points[/tex] given points : (6, 8)
equation:
[tex]\rightarrow \sf y - 8 = 3(x-6)[/tex]
[tex]\rightarrow \sf y = 3x-18+8[/tex]
[tex]\rightarrow \sf y = 3x-10[/tex]
On comparing to y=mX+b
Slope =m=-1/3Perpendicular lines have slopes negative reciprocal to each other
Slope of perpendicular line
3Equation in point slope form
y-8=3(x-6)y-8=3x-18y=3x-10Aaron flips a coin three times, what is the probability of getting only one head?
3/8
1/8
1/2
3/7
I already answered one please answer the rest
The zeroes of the function are___
Answer:
The zeros are x = -2, x = 0, x = 4.
Step-by-step explanation:
The zeros describe where the function crosses the x-axis, or where the y-value is zero. In this case, the zeros are x = -2, x = 0, x = 4.
plssssssssss help meeeeeeeeeeeeeeeee
Answer:
The A graph applies to the first and fourth statement
The B graph applies to the second and third statement
The number of ducks in a pond increasing is a 100% bar with an extra 40% added to it (looks like graph A from the previous question)
The number of mosquitos decreasing by 80% is a bar within the already existing 100% (looks like graph B from the previous question)
Step-by-step explanation:
none further needed
Paula has a client who wants to invest into an account that earns 4% interest, compounded annually. The client opens the account with an initial deposit of $4,000, and deposits an additional $4,000 into the account each year thereafter.
Assuming no withdrawals or other deposits are made and that the interest rate is fixed, the balance of the account (rounded to the nearest dollar) after the eighth deposit is __________.
The balance of the account after the eighth deposit will be $36857 if an account that earns 4% interest, compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
P = 4000, r = 4% = 0.04 and an additional $4,000 into the account each year thereafter.
The balance of the account after the eighth deposit;
[tex]A = \rm 4000\times \dfrac{1\times (1+0.04)^8}{1-(1+0.04)}[/tex]
A = 36856.90 ≈ $36857
Thus, the balance of the account after the eighth deposit will be $36857 if an account that earns 4% interest, compounded annually.
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Write 14 16 in lowest terms.
By applying algebra properties for simplifying rational numbers, we conclude that the rational number 14/16 is equivalent to the rational number 7/8.
How to simplify a rational number
Rational numbers are real numbers of the form n/m, where n, m ∈ [tex]\mathbb{Z}[/tex] and n ≠ 0. Rational numbers are in lowest terms whether they cannot be reduced. A rational number is simplified by applying the following property:
[tex]\frac{a\cdot c}{b\cdot c} = \frac{a}{b}[/tex] (1)
Where c is the common multiplier.
Now we proceed to simplify the given rational number, whose common multiplier is 2:
[tex]\frac{14}{16} = \frac{7}{8}[/tex]
By applying algebra properties for simplifying rational numbers, we conclude that the rational number 14/16 is equivalent to the rational number 7/8.
RemarkThe statement is poorly formatted: Write 14/16 in lowest terms.
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Need help please answer ASAP!
Let's see
3x²-9x3x(x-3)3x is one factor
Other one is x-3#2
Mass of 1000 protons
1000×Mass of one proton1.67×10^{-24}×10³1.67×10^{-21}gAnswer:
22. (3) x - 3
23. (4) [tex]1.67 \times 10^{-21}\: \sf g[/tex]
Step-by-step explanation:
Question 22Given expression:
[tex]3x^2-9x[/tex]
Factor out common term [tex]3x[/tex]:
[tex]\implies 3x \cdot x - 3 \cdot 3x[/tex]
[tex]\implies 3x(x-3)[/tex]
Therefore, the two factors are [tex]3x[/tex] and [tex]x-3[/tex]
Question 23[tex]\textsf{Mass of 1 proton}=1.67 \times 10^{-24}\: \sf g[/tex]
[tex]1000=10 \times 10 \times 10=10^3[/tex]
[tex]\begin{aligned}\implies \textsf{Mass of 1000 protons} & = \textsf{mass of 1 proton} \times 1000\\& =(1.67 \times 10^{-24}) \times 1000\\& =1.67 \times 10^{-24}\times 10^3\\ & =1.67 \times 10^{-24+3}\\ & = 1.67 \times 10^{-21}\: \sf g\end{aligned}[/tex]
In ⊙P, QR≅ST. Which statement must be true? Select all that apply.
A circle with center point P and four points Q,R,S,T on the circumference. Line segments join the points to make three chords QR,RS and ST. All the four points are connected to center point P making three triangles QPR,RPS and SPT.
A. △QRP ≅ △STP
B. QR¯¯¯¯¯¯¯¯ ≅ RS¯¯¯¯¯¯¯
C. ∠QPS ≅ ∠RPT
D. △RPS ≅ △SPT
E. QR¯¯¯¯¯¯¯¯ ≅ ST¯¯¯¯¯¯¯Which is the length of PQ expressed in terms of π?
A circle with center point N and radius 1. It has a minor arc PQ whose angle measures 99 degree
A. 1140π
B. 2940π
C. 1120π
D. 2920π
The true statement about the circle with center P is that triangles QRP and STP are congruent, and the length of the minor arc is 11/20π
The circle with center PGiven that the circle has a center P
It means that lengths PQ, PR, PS and PT
From the question, we understand that QR = ST.
This implies that triangles QRP and STP are congruent.
i.e. △QRP ≅ △STP is true
The length of the minor arcThe given parameters are:
Angle, Ф = 99
Radius, r = 1
The length of the arc is:
L = Ф/360 * 2πr
So, we have:
L = 99/360 * 2π * 1
Evaluate
L = 198/360π
Divide
L = 11/20π
Hence, the length of the minor arc is 11/20π
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I need help quickly, I'm preparing for a test! Help is appreciated!
Solve each triangle. Round your answers to the nearest tenth. (#4)
The measure of angle ∠A and angle ∠C will be 65.37° and 17.63°. And the measure of the length of CA will be 29.48 inches.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
In triangle ABC, the side AB is 9 in, the side BC is 27 in, and the angle B is 97 degrees.
Then the other two angles and the side CA will be
The side CA is given by the cosine rule. Then we have
[tex]\rm CA^2 = AB ^2+ BC^2 - 2 \times AB \times BC \cos B\\\\\\CA^2 = 9^2 + 27^2 - 2 \times 9 \times 27 \cos 97^o\\\\\\CA^2 = 810 + 59.23\\\\\\CA ^2 = 869.23\\\\\\CA \ = 29.48 \ in[/tex]
Then angle A will be given by the sine rule. Then we have
[tex]\dfrac{27}{\sin A} = \dfrac{29.48}{\sin 97^0}\\\\\\\sin A = \dfrac{27 \sin 97^0}{29.48}\\\\\\\sin A = 0.9090\\\\\\A \ \ \ \ = 65.37^0[/tex]
Then the angle C will be
∠A + ∠B + ∠C = 180°
65.37° + 97° + ∠C = 180°
∠C = 17.63°
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Mariana buys bottles of orange juice at the corner store. assume each bottle of juice is the same price. the proportional relationship between the number of juice bottles bought, j, and the total cost in dollars and cents, c, can be represented by the equation c=0.8jc=0.8j. what is the cost in dollars and cents of each bottle of juice?
By evaluating the function in j = 1, we conclude that each bottle costs 80 cents.
What is the cost in dollars and cents of each bottle of juice?We know that the total cost in dollars can be represented by the linear equation:
C(j) = 0.8*j
Where C is the cost, and j is the number of juice bottles bought.
Then to get the cost of each bottle, we can evaluate the function in 1, which means buying only one.
C(1) = 0.8*1 = 0.8
So each bottle costs $0.80 (or 80 cents).
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Find the median and mean of the data set below:
2,26,29,38,22,27
Answer: The mean is 24, and the median is 26.5 .
Step-by-step explanation: To find the mean, one must add all the numbers in a set of data and divide it by the amount of numbers added. To find the median, one must line the numbers in a set of data from biggest to smallest. The number in the middle is the median. If the amount of numbers in the set are even, resulting in no middle, the two numbers closest to the middle are added and then divided by two. The resulting number is the median. In this case I had to add and divide.
