Find the distance between A and B.
A 12 units
B.V106 units
C.9 units
D. 2/12 units
Answers
Answer:
B. [tex] \sqrt{106} [/tex]
Step-by-step explanation:
Distance between A(-4, 3) and B(5, -2) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (-4, 3) = (x_1, y_1) [/tex]
[tex] (5, -2) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] d = \sqrt{(5 -(-4))^2 + (-2 - 3)^2} [/tex]
[tex] d = \sqrt{(9)^2 + (-5)^2} [/tex]
[tex] d = \sqrt{81 + 25} [/tex]
[tex] d = \sqrt{106} [/tex]
Related Questions
Help pls!!!!!!!!!!!!!!!!!
Answers
Answer:
the answer is 8/5
Step-by-step explanation:
LCM = 10
(14+2)/10 = 16/10
= 8/5
please give me brainlist if it is helpful for you
sin (3x) dx = ?
find the integral
Answers
Answer:
[tex]\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C[/tex]
General Formulas and Concepts:
Calculus
Antiderivatives - Integrals
Integration Constant C
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Trig Integration: [tex]\displaystyle \int{sin(x)} \, dx = -cos(x) + C[/tex]
U-Substitution
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {sin(3x)} \, dx[/tex]
Step 2: Identify Substitution Variables
u = 3x
du = 3dx
Step 3: Integrate
[Integral] Rewrite: [tex]\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \frac{1}{3}\int {sin(u)} \, du[/tex][Integral] Trig Integration: [tex]\displaystyle \frac{1}{3}[-cos(u)] + C[/tex][Expression] Multiply: [tex]\displaystyle \frac{-cos(u)}{3} + C[/tex][Expression] Back-Substitute: [tex]\displaystyle \frac{-cos(3x)}{3} + C[/tex]A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 417 gram setting. It is believed that the machine is underfilling the bags. A 13 bag sample had a mean of 415 grams with a standard deviation of 30. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answers
Answer:
P value = 0.407
Hence, as P-value (0.407) is greater than 0.1
Fail to reject Null hypothesis
Step-by-step explanation:
Given the data in the question;
sample size n = 13
sample mean x" = 415
standard deviation s = 30
level of significance = 0.1
so;
Null hypothesis H₀ : μ = 417
Alternative hypothesis Hₐ : μ < 417
degree of freedom DF = n - 1 = 13 -1 = 12
Rejection Region { level of significance = 0.1, df = 12 }
critical value of t is - 1.356 as { left tailed test }
Test Statistics;
t = (x" - μ) / [tex]\frac{s}{\sqrt{n} }[/tex]
we substitute
t = (415 - 417) / [tex]\frac{30}{\sqrt{13} }[/tex]
t = -2 / [tex]\frac{30}{\sqrt{13} }[/tex]
t = -0.24
so, from table;
P value = 0.407
Hence, as P-value (0.407) is greater than 0.1
Fail to reject Null hypothesis
someone please help
What is the slope of the line shown below?
10
A. 3
61 (1,5)
B. 2
Oh
61,-1)
O c. -3
10
15
O D. -2
-102
Answers
Answer:
A. 3
Step-by-step explanation:
The formula for slope is (y2-y1)/(x2-x1), for two points (x1,y1) and (x2,y2) on the line.
Our points are (-1,-1) and (1,5):
(5-(-1))/(1-(-1))
6/2
3
The slope of the line shown below is 3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have,
Points from the graph (1, 5) and (-1,-1).
So, the slope of line
= (-1 - 5)/ (-1 - 1)
= -6 / (-2)
= 3
Thus, the slope of line is 3.
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800 liralık bir telefonun fiya-
tina %6 zam yapılıyor.
Yeni satış fiyatı kaç lira
olur?
Answers
Answer:
8ile 6 yı çarp sonucu 800 ile topla 48+800= 848
solve
(3r-1)(2r+2r+3)
Answers
12r^2+5r-3
STEP BY STEP:
look at picture
Lamont spends $120 on groceries. This is 25% of the money he earns this week. How much does Lamont earn? Show your work
Answers
Lamont Earns $480 a week
STEP BY STEP:
The easy way for the problem is to add 120 four times (120+120+120+120) to get 480. The reason this works is because 120 is 25% of what Lamont makes a week so adding it by itself 4 times will get you 100%, if that makes sence.
Hope that helps. :)
Lamont's total earnings this week come to be $480.
Lamont spends $120 on groceries and this is 25% of the money he earns this week.
This means, $120 = 25% of the total earnings of Lamont
Suppose total earnings =x
What is the percentage?The percentage is the value per hundred.
25% of x= [tex]\frac{25*x}{100}=\frac{x}{4}[/tex]
Given [tex]\frac{x}{4} =120[/tex]
So, [tex]x=480[/tex]
So, his total earnings is $480.
Thus, Lamont's total earnings come to be $480.
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arkadaşlar 81×56 kaç
Answers
Answer:
big
Step-by-step explanation:
pp
Answer:
4536
Step-by-step explanation:
Hesap makinesi kulan
A) square root 6
B) 6
C) 6 square root 2
D) 12
E) 12 square root 2
Please help
Answers
sin(45degrees) or BC/AB is 1/sqrt2(that's the value of sin45 degrees I recommend you to memorize this.)
x/12=1/sqrt2
x*sqrt2=12
x=12/sqrt2
Now rationalize this fraction to make the answer more formal.
x=12sqrt2/2(I multiplied both top and bottom by sqrt2)
Now simplify
x=6sqrt2
Question done! answer is C 6 square root of 2
Hope this helped any questions just put them in the comments.
Answer:
6 square root 2
Step-by-step explanation:
2 + − 1 ( − ) + 7 ( 2 − )
Answers
Answer:
Step-by-step explanation:
15
ANSWER QUICKLY PLEASE
Part A
For the following figure, the value of x is
Part B
Using the same figure, determine the value of y.
Choose the suitable option,
A) 16in
B) 64in
C) 8 square root of 2
D) 4 square root of 2
Answers
Option C is correct, the value of y is 8 square root of 2.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We need to find the value of y.
The given triangle is right angle triangle with opposite side of 8 inches.
Hypotenuse is y and adjacent side is x.
Now let us solve for sinB
sin45 =8/y
1/√2=8/y
Apply cross multiplication
y=8√2
8 square root of 2
Hence, option C is correct, the value of y is 8 square root of 2.
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Three farmers, share some
bags of fartilizers in the ratio
3:4:5. If the smallest
Share is 18 bags, find the
largest Share
Answers
What is the first step in solving 5x-2=3
Answers
Answer:
5x-2=3
5x=3+2
5x=5
x=5÷5
x=1
Joe and Jacob are selling pies for a fundraiser. Customers can buy blueberry pies and
apple pies, Joe sold 4 blueberry pies and 7 apple pies for a total of $123. Jacob sold 4
blueberry pies and 2 apple pies for a total of $58. What is the cost of one blueberry pie
and one apple pie.
Answers
Answer:
1234567891011121314151617181920
no entiendo en español menos en ingles
Consider the line 2x-3y=-3.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answers
Parallel slope=2/3
Solve. 3 + 4(w + 5) = 31
Answers
Answer:
8/4We have,
3+4(w+5)
=31 Or, 3+20+4w
=31 or, 4w
=31−23
w=8/4
Thus, w comes out to be 2 .
Step-by-step explanation:
Hope it is helpful....
Answer:
w=2
Step-by-step explanation:
3 + 4(w + 5) = 31
distribute 4(w + 5)
4 x w = 4w
4 x 5 = 20
rewrite your equation
3 + 4w + 20 = 31
add like terms
3 + 20 = 23
rewrite equation
4w + 23 = 31
subract 23 on both sides
4w + 23 = 31
-23 -23
4w = 8
divide by 4 on both sides to get w by itself
4w = 8
4 4
w = 2
4/4 times 1/2 PLEASE HURRY ILL MARK BRAINLIEST
Answers
Answer: 1/2
Step-by-step explanation:4
4
×
1
2
=
1
2
Result in decimals: 0.5
Calculation steps:
4
4
×
1
2
=
4 × 1
4 × 2
=
4
8
=
4 ÷ 4
8 ÷ 4
=
1
2
Further explanation
For the problem:
4
4
×
1
2
= ?
Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
4 × 1
4 × 2
=
4
8
The Greatest Common Factor (GCF) of 4 and 8 is 4. The result can be simplified by dividing both the numerator and denominator by 4.
4
8
=
4 ÷ 4
8 ÷ 4
=
1
2
The result is:
4
4
×
1
2
=
1
2
Answer:
1/2
Step-by-step explanation:
any expression divided by itself is 1
1×1/2
any expression multiplied by 1 remains the same
1/2
What is the first correct step in solving the inequality-4(3-5x)>-6x+9?
Answers
Answer:
follow PEMDAS (parentheses exponents multiplication division add subtract)
Which pair of points have equal x-coordinates?
no
B
5
37-8.5
8
+ 1 2 3 4 5 6 7 8 x
2
994019
5
6
S
O points Q and R
O points Q and T
points Rands
Opoints S and T
Answers
Answer:
option B
Step-by-step explanation:
I did it.
Solve each multi-step equation. Show your work. A - 2 + 3 = -2
Answers
Answer:
a is -3
Step-by-step explanation:
negative 3 minus 2 is negative 5 plus 3 is negative 2
1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.
2.) Becky invest $2500 at an annual interest rate of 9%. How much is the investment worth after 10 years if the interest is compounded continuously.
3.) suppose $2000 is invested at 5.75% annual interest compounded continuously for 21 months. How much will the investment be worth at the end of 21 months.
Will mark as Brainlessly or whatever it’s called (if you take my points I will report) thank you so much:)
Answers
Answer:
$5809.17
$6149.01
$2211.72
Step-by-step explanation:
Continous interest formula:
(pv)e^(rt)
we have
5000e^(5*.03)= 5809.17
Same equation from before
2500e^(.09*10)= 6149.01
2000e^(.0575*(21/12))
(we write 21/12 because that's how many years has passed)
= 2211.72
The ratio of boys to girls In student council is 4 to 5. Students council has 18 members. How many are boys?
Answers
Answer:
Step-by-step explanation:
boy count is 1476
Explanation:
There is an important difference between the way counts are viewed in ratio to that in fractions.
The ratio of boys : girls
→
4
:
5
so you have 4 boys and 5 girls making the whole count
4
+
5
=
9
in its simplest form.
So to change the ratio proportion into fraction proportion we have:
boys
→
4
9
of the whole.
girls
→
5
9
of the whole.
It is given that the whole is 3321 therefore the count of boys is:
4
9
×
3321
=
1476
Of the people who fished at Clearwater Park today, 81 had a fishing license, and 9 did not. Of the people who fished at Mountain View Park today, 60 had a license, and 40 did not. (No one fished at both parks.) Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license? Do not round your answer.
Answers
Answer:
9/25 = the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license
Step-by-step explanation:
There are 90 fishers at Clearwater and 100 fishers at Mountain View
The probability of a fisher at Clearwater had a license = 81/90 = 9/10
and the probability of a fisher at Mountain View
did not have a license = 40/100 = 2/5
the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license = 9/10(2/5) = 9/25
which correctly shows 5.05 and 5.5
Answers
Answer:
how are we gonna answer the question if there is no picture of it
Step-by-step explanation:
Which variable is most important to the following problem? After two hours, Kaylee measured the temperature of a mixture to be 62.7°F. She noticed it was 3:47 p.m. At 4:58 p.m., the temperature reached its peak at 89.4°F. How much did the temperature of the mixture increase between 3:47 and 4:58?
Answers
if f(x)=x+4 and g(x)=x^3 what is (g*f)(-3)
Answers
Step-by-step explanation:
g*f(x)=g(x+4)=(x+4)³
g*f(-3)=(-3+4)³
= 1³=1
PLEASE HELP PLEASEEEE
PLEASE I WILL GIVE YOU COOKIES.
Find the range of the function f(g)=3g-5 for the domain {-2,0,2}
{-9, -4, 5}
{-2, 0, 2}
{ -13, -7, -3}
{-11, -5, 1}
Answers
Answer:
option 4 {-11, -5, 1}
Step-by-step explanation:
range: set of output
f(-2)=3(-2)-5=-11
f(0)=3(0)-5=-5
f(2)=3(2)-5=1
In an Arithmetic progression, if d= -4, n=7, an=4, then find a.
Answers
Answer:
a = 28
Step-by-step explanation:
[tex] a_n = a + (n-1) d[/tex]
[tex] 4 = a + (7-1) (-4)[/tex]
[tex] 4 = a + 6 (-4)[/tex]
[tex] 4 = a - 24[/tex]
[tex] 4 +24= a [/tex]
[tex] a = 28[/tex]
Pleaseeee helpp its due in 6 mins
Answers
Answer:
5 8 as decimal is: 0.625
Step-by-step explanation:
What is 5/8 as a decimal?
To write 5/8 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 5 by 8 what we write down as 5/8 and we get 0.625
And finally we have:
5/8 as a decimal equals 0.625
Lattice Arena sold a total of 150 tickets to a basketball game. 90 of the tickets were sold to fans of the home team. What percent of the tickets were sold to fans of the home team?
Answers
60%
Explanation:
60 percentage of the tickets were sold to fans of the home team.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
To find the percentage of tickets sold to fans of the home team,
we need to divide the number of tickets sold to home team fans by the total number of tickets sold, and then multiply by 100 to convert the fraction to a percentage:
Percentage of tickets sold to home team fans = (Number of tickets sold to home team fans / Total number of tickets sold) x 100%
Number of tickets sold to home team fans = 90
Total number of tickets sold = 150
Percentage of tickets sold to home team fans = (90 / 150) x 100%
Percentage of tickets sold to home team fans = 0.6 x 100%
Percentage of tickets sold to home team fans = 60%
Therefore, 60% of the tickets were sold to fans of the home team.
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