Answer:
20
Step-by-step explanation:
What's the equation of the line that's a perpendicular bisector of the segment connecting A (–2, 8) and B (–4, 2)?
Question 12 options:
A)
y = –1∕3x – 3
B)
y = –1∕3x + 3
C)
y = 1∕3x + 3
D)
y = –1∕3x + 4
Answer:
D
Step-by-step explanation:
The required line is perpendicular bi sector. So it goes through the midpoint of AB. Find the midpoint of AB
Midpoint [tex](\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})\\[/tex]
Midpoint of AB = [tex](\frac{-2 + [-4]}{2} , \frac{8+2}{2})[/tex]
[tex]=(\frac{-6}{2} , \frac{10}{2})\\\\=(-3 , 5)[/tex]
Find the slope of AB, [tex]m_{1}[/tex]
slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]
[tex]=\frac{2 - 8}{-4-[-2]}\\\\=\frac{-6}{-4+2}\\\\=\frac{-6}{-2}\\\\=3[/tex]
Slope of the perpendicular line to AB = [tex]\frac{-1}{m_{1}}[/tex] = -1/3
The required line passes through (-3, 5) and has slope -1/3
Equation of required line : y - y1 = m (x -x1)
[tex]y - 5 = \frac{-1}{3} (x - [-3])\\\\y-5=\frac{-1}{3} ( x +3)\\\\y-5=\frac{-1}{3}x + 3 *\frac{-1}{3}\\\\y-5=\frac{-1}{3}x-1\\\\y=\frac{-1}{3}x-1+5\\\\y=\frac{-1}{3}x + 4[/tex]
Answer:
Step-by-step explanation:
D)
y = –1∕3x + 4
The lifespans of tigers in a particular zoo are normally distributed. The average tiger lives 22.4 years; the standard deviation is 2.7 years. Use the empirical rule (68-95-99.7%) to estimate the probability of a tiger living less than 14.31 years.
Answer:
ok
Step-by-step explanation:
How would you factor 6a - 15
Again can someone help me with this i need a good explanation to find the arithmetic mean? and the answer ;-;
Answer:
4.1
Step-by-step explanation:
Mean = sum/n
(1+2+10+6+4+4+6+3+1+4)/10
41/10
4.1
Select the equivalent expression.
(2^-4 x z^-3)^5 =
Choose 1 answer:
Answer:
A
Step-by-step explanation:
[tex](2^{-4}z^{-3})^{5}[/tex]
several ways to approach this.
use power rule. [tex](a^{m} )^{n} = a^{mn}[/tex]
[tex](2^{(-4*5)}z^{(-3*5)} )[/tex]
[tex](2^{-20} z^{-15} )[/tex]
RULE: [tex]x^{-1} = \frac{1}{x}[/tex]
[tex]\frac{1}{(2^{20}z^{15}) }[/tex]
Which of the following statements NOT true?
Ben makes $39,600 a year. What the maximum amount he can afford for a mortgage each month ?
Answer:825
Step-by-step explanation:
Andy made a spirometer for a physics experiment. The spirometer is designed to measure the volume of air in a person's lungs. Andy found that when he breathes normally, he inhales and exhales 0.5 of a liter of air per breath. He also found that when breathing normally, after exhaling, he still has 2 liters of air in his lungs.
Andy recorded 15 breaths in one minute, starting at the beginning of an exhale.
If Andy inhaled and exhaled the exact same amount of air in each breath, which of the following functions best models the amount of air in Andy's lungs t seconds after he started recording?
A(t)=0.25cos(x/2 2)+2.25
Please help with this
Answer:
B
Step-by-step explanation:
I used the quadratic formula
Answer:
B
Step-by-step explanation:
Given
(x + 5)² = 48 ( take the square root of both sides )
x + 5 = ± [tex]\sqrt{48}[/tex] = ± [tex]\sqrt{16(3)}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( subtract 5 from both sides )
x = - 5 ± 4[tex]\sqrt{3}[/tex] → B
what is the area of the parallelogram
A. 11in2
B. 22in2
C. 45in2
D. 60in2
Answer:
Step-by-step explanation:
Area of a parallelogram is base times height. So 15x4
It’s 60in^2
So D
Answer:
D. 60 inches^2
Step-by-step explanation:
The area of a parallelogram can be found using:
a=bh
We know that the height is 4 inches, and the base is 15 inches. Therefore, we can substitute 4 in for h and 15 in for b.
a=4*15
Multiply 4 and 15
a=60
Area is always units^2. We know the units are inches, therefore the area is:
60 inches^2, or choice D
The population of browns burg is 25000. In ten years, it is expected to grow by 8.5%. How many people will live there in ten years?
simplify the following expression 2[(7-3)^4 divided by 8] SHOW YOUR WORK!
someone pls help
Answer:
64
Step-by-step explanation:
2(7-3)^4 divided by 8
2(4)^4 divided by 8
2(256) divided by 8
512 divided by 8
64
Answer:
64
Step-by-step explanation:
2[(7-3)^4 divided by 8]
2[4^4 divided by 8]
2[256 ÷ 8]
2(32)
64
Which line has a slope of -2 and goes through the point (-2, 3) ?
y=−2x−1
y=−1/2x+3
y=1/2x−5
y=2x+1
Answer:
y=-2x-1
Step-by-step explanation:
Since the m term in this equation (the number that comes right before the x) is -2, that means that the slope of this line is -2.
A bowling alley charges $3 per shoe rental and $4 per person per game. If you and a friend bowl 3 games and each rent a pair of shoes, how much will it cost in all?
Answer: $36
Step-by-step explanation:
3 times 2 times 2 = 12
4 times 2 times 3 = 24
add 12 and 24
answer = $36!
Which of the following is an example of inertia?
O A. Adding mass to a moving car makes it
harder to stop.
0 0 0
OB. A balanced force is applied to a bicycle.
C. Increasing the velocity of a train makes it
harder to stop.
OD. A moving car changes direction.
Answer:
B
Step-by-step explanation:
inertia is the tendency to do nothing or remain unchanged
Which type of sampling method is being employed in the following example: "In order to test out a new dessert available at Chili's restaurants in the metro-Atlanta, everyone at 6 selected Chili's locations are offered to try the new dessert for free on one weekend."
Simple Random Sampling
Sampling of Convenience
Stratified Sampling
Systematic Sampling
Cluster Sampling
Answer:
Cluster sampling
Step-by-step explanation:
1 Beverly investe $18,000n an account that pays 5% annual simple interest. Beverly win
not make any additional deposits or withdrawals. How much interest Will Beverly earn on
her investment at the end of 5 years
Answer:
She'll earn $4973.07 coming to an amount of $22,973.07
Step-by-step explanation:
math question down below
Answer:
A.
C.
E.
Step-by-step explanation:
Answer:
a,c,e
Step-by-step explanation: because they all ad up to 24
find: (6m^5+3-m^3-4m)-m^5+2m^3-4m+6)
PLEASE HURRY!
Answer:
The answer is 7m5 - 3m3 - 3
Answer: 7m^5-3m^3+0m-3
Step-by-step explanation:
I just did the problem and got the correct answer. Note that this answer only applies to this exact question the correct answer to the equation is 7m^5-3m^3-3.
which statement best describes the possible value of the median time of students riding the bus to school?
Answer:
Step-by-step explanation:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Answer:
its a on edge 2021
Step-by-step explanation:
(-15)+(-45)/-5 .........please help
Answer:
60
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
I added (-15) + (-45) and got -60.
And i divided it by -5 and got 12.
I really need help and I would greatly appreciate it
Answer:
a. 15.783/19 × 100% = 15.78
b. 7
12-5 = 7
To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
c. 8
because 8 divides the age group making half the people younger than this age and half are older
2 . a - highest point is 8.7
c . georgina did better then half of the other gymnists which can be seen because the highest point is 8.7 where there are many who 7.7
mark brainliest pls
2. Find the value of x.
BI
3(x + 2)
24
Ox=6
Ox=10
3(x+2
Ox= 24
3x + 6
Ox=8
3x +
Answer:
x = 6
Step-by-step explanation:
3(x + 2) =24
Divide each side by 3
3/3(x+2) = 24/3
x+2 = 8
Subtract 2 from each side
x+2-2 = 8-2
x = 6
pls helppp
The slope of the line segment joining the points (2, 3) and (2, -6) is undefined.
a)True b) False
Answer:
True
Step-by-step explanation:
The points (2,3) and (2,-6) are undefinable because it makes a vertical line. The slope cannot be defined.
On a coordinate plane, triangle A B C has points (negative 3, negative 1), (negative 2, negative 3), (1, negative 1) and is reflected across y = 1. Reflect the figure over the line y = 1. Which is point A’ after the reflection? A’(–3, 1) A’(–3, 3) A’(–3, 2) A’(1, 1)
Answer:
A' = (-3, 3)
Step-by-step explanation:
If the points are as follows:
A = (-3, -1)
B = (-2, -3)
C = (1, -1)
When reflecting across a y axis the x values remain the same.
When reflecting across y = 1 the y values will remain equal distant from y = 1.
A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3
B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5
C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3
Answer:
A' = (-3, 3)
Step-by-step explanation:
m = 0.25k + 5
OLinear Function
O NON-linear Function
Answer:
OLinear Function
Step-by-step explanation:
In general ,A linear function has the form y = ax + b
so ,the function :
m = 0.25k + 5 is linear .
We just changed
m to y
x to k
a to 0.25
b to 5
Which of the following is not an identity?
O A. 2cos2x-1 = 1 - 2sin2x
O B. secx cscx(tanx + cotx) = sec2x + csc2x
O C. 2sin?x- sinx = 1
D. sin2x + tan2x + cos2x = secax
Answer:
C. 2 sin^2x-sinx=1
Step-by-step explanation:
a p e c
2sin^2 - x - Sinx =1 and sec x csc x (tanx+ cotx) = sec^2x + csc^2x is not an identity. Option B and C is correct.
Out of Four options are given, which of them is not an identity is to be determined.
What is identity?An identity is the common case formula that helps to solve mathematics.
1)
[tex]2cos^2x-1 = 1 - 2 sin^2x\\ \\cos2x =cos2x[/tex]
It is also a perfect identity.
2)
[tex]secx cscx(tanx+ cotx) = sec^2x + csc^2x\\\\\\sec x cscx (sinx/cos x + cosx/sinx) = sec^2 + csc^2x\\\\secx cscx (sin^x+cox^2x/cosxsinx) = sec^2x +csc^2x[/tex]
It is also not an identity.
3) 2sin^2-X- Sinx=1
It's not an identity cause it is form of equation and contain -x.
4)
[tex]sin^2x+ tan^2x + cos^2x = sec^2x\\ sin^2x + cos^2x = sec^2x -tan^2x = 1[/tex]
It is a perfect identity.
Thus, 2sin^2- x - Sinx =1 and sec x csc x (tanx+ cotx) = sec^2x + csc^2x is not an identity. Option B and C is correct.
Learn more about identity here:
brainly.com/question/6971003
#SPJ5
Solve for x.
-30 = 5(x+1)
Answer:
−30=5(x+1)
Step 1: Simplify both sides of the equation.
−30=5(x+1)
−30=(5)(x)+(5)(1)(Distribute)
−30=5x+5
Step 2: Flip the equation.
5x+5=−30
Step 3: Subtract 5 from both sides.
5x+5−5=−30−5
5x=−35
Step 4: Divide both sides by 5.
5x5=−355
x=−7
Answer:
x=−7
Answer:
x = -7
Step-by-step explanation:
Since this problem has the distributive property, we can simplify the problem.
-30 = 5x + 5
Now we have to subtract 5 from both sides because of the +5.
-35 = 5x
To find the answer, we have to move all the real numbers to one side, the variable on the other. To do this, we can simply divide both sides by 5.
-7 = x
x = -7
please help me!!!!!!!!!!
Answer:
(1,4)
(2,6)
(3,8)
(4,10)
(5,12)
Step-by-step explanation:
PLZ HELP IM TIMED!!!
Which fraction is equivalent to -(7/8)?
A. -7/8
B.-(-7/8)
C.-(7/-8)
D.-7/-8
Answer:
It should be A
Step-by-step explanation:
multiply the - by 7/8 to get -7/8
Answer:A
Step-by-step explanation:
