Answer: True
Step-by-step explanation:
Let the point (7, 1) be Point A
Let the perpendicular bisector of the line joining (2,4) and (4,6) be Line PQ; P(2, 4) and Q(4, 6)
If A (7,1) lies on perpendicular bisector of P(2,4) and Q (4, – 6), then AP=AQ
[tex]\begin{aligned}\therefore \quad A P &=\sqrt{\left(2-7\right)^2+\left(4-1\right)^2}\:\\&=\sqrt{5^2+3^2}\\&=\sqrt{25+9}=\sqrt{34} \\\mathrm{and} \ \ \ A &=\sqrt{\left(4-7\right)^2+\left(6-1\right)^2}\: \\&=\sqrt{3^2+5^2} \\&=\sqrt{9+25}=\sqrt{34}\end{aligned}[/tex]
Therefore, (7, 1) does lie on the perpendicular bisector of the line joining (2,4) and (4,6)
Find The Square Root Of
[tex] \frac{144}{169 } [/tex]
[tex]===============================[/tex]
Let's find the square root of
[tex]\bold{\displaystyle\frac{144}{169}}[/tex]
So what number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex]?
Take the square root of both the numerator (144) and the denominator (169)
[tex]\bold{\sqrt{\displaystyle\frac{144}{169} }}[/tex]
The square root of 144 is 12 (12 times itself equals 144), and the square root of 169 is 13 (13 times itself equals 169)
[tex]\bold{\displaystyle\frac{12}{13}}[/tex]
This number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex].
[tex]==================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!#KnowledgeIsPowerYou can easily find the square root of a number by entering the number you want to find the square root of and pressing the [tex]\sqrt{x}[/tex] button on your calculator, or just remembering the basic numbers, like "12×12 (12²=144) :-)Answered by:
[tex]^\star^\bigstar^\circ\tt{An~Emotional~Helper!~:D}}^\circ^\bigstar[/tex]
4+6x=16 how to solve it
Answer:
Step-by-step explanation:
Remark
The first step is the key step. You have to get the xs on one side and the numbers on the other.
Solution
4 + 6x = 16 Subtract 4 from both sides
4-4+6x = 16 - 4 Combine
6x = 12 Divide both sides by 6. You want x by itself.
6x/6 = 12/6
Answer: x = 2
50
The graph shows a proportional relationship between the
number of kilometers traveled by a bicycle (y) and the number of
minutes (x).
45
40
35
30
Distance traveled (km)
What is the unit rate, expressed in kilometers per minute?
25
20
O 0.30 km/min
15
(40, 12)
O 0.33 km/min
03.10 km/min
->
5 10 15 20 25 30 35 40 45 50
Time (min)
3.33 km/min
1
2
3
4
5
6
7
8
Next
9
10
Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.
If QR=x+29 and PS=x–16, what is the value of x?
Answer:
61
Step-by-step explanation:
By the triangle midsegment theorem, 2(SP)=RQ.
So, 2(x-16)=x+29, meaning x=61.
Miranda thought her new jeans would cost $32. The price was actually $36. What was percent error?
A - 87.5%
B - 11.1%
C - 12.5%
D - 88.9%
Answer:
the answer; 32÷36×100 will give the answer (d) -88.9%
on a test given in math class 60 students arrive in take out their supplies. Of those students, 23 bring pens and 36 bring pencils. Only three students a ride with me neither. How many brought both a pen and a pencil
2m - 3 - 5= -m + 10 please help me
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: 2m - 3 - 5 = - m + 10[/tex]
[tex]\qquad \sf \dashrightarrow \: 2m + m = 10 + 3 + 5[/tex]
[tex]\qquad \sf \dashrightarrow \: 3m = 18[/tex]
[tex]\qquad \sf \dashrightarrow \: m = 18 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \: m = 6[/tex]
Hence, value of m is 6
Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the variables represent? A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is the price per pound of chocolate. B) The correct equation is 5x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and y is the price per pound of coffee.
samundra deposits rs 850 at NBL at the half yearly rate of 8% for 1 year. how much interest will he get?
Total interest:-
8% of deposit8% of 8500.08(850)Rs68Part B.
Directions: Solve for the area of the triangle in each of the following problems.
10) 22 cm 21 cm
11) 16 m 15 m
Answer:
#10=462
#11=240
Step-by-step explanation:
22x21=462
16x15=240
find the distance between the follwing points: (-4,11), (3,5)
Answer:
43
Step-by-step explanation:
equation= sqrt (x2-x1)^2 + (y2-y1)^2
4+8÷2-2×3 what would we do first a 4+8 b8÷2 c2-2 d2×3
Answer:
multiplication, so d, 2 x 3
Step-by-step explanation:
remember... PEMDAS!!
PLEASE SOLVE PRETTY URGENT
If the two cylinders are similar, that means that the ratio between the diameter and the height will be the same in both solids.
In the bottom cylinder, we have a ratio of 3ft to 12ft. This is a ratio of 3:12, or 1:4, where the 1 is the height and 4 is the diameter.
The top cylinder has a height of 8 inches, meaning that the 8 corresponds to the 1 in the ratio. Thus, we can set up the equation like this:
[tex]\frac{1}{4} =\frac{8}{x}[/tex]
To get from 1 to 8, we have to multiply by 8. But because we don't want to change the ratio, we have to multiply the denominator by 8 as well:
[tex]\frac{1}{4}*\frac{8}{8}=\frac{8}{32}[/tex]
That means the top cylinder has a diameter of 32. But we can't forget our units. Because we used 8 inches in our ratio, that means the diameter is 32 inches.
Help me please jzjskksksjdjkdkdkdjjdkdkdkeskskkskskkskskkskssskskskkkss
Answer:
224
Step-by-step explanation:
To work out the area of any prism:
Area of cross sectional area x width
In this case, work out the area of the rectangle and multiply by 7
8 x 4 = 32
32 x 7 = 224
PLEASe help!!! hurrry!!
Answer:
x is 6 degrees
Step-by-step explanation:
so its 90 degress, how do i know? because it is parrallel to the one with a half square (the 90 degrees) so we equal the angels to 90 because they are equal to 90 (sorry if it sounds confusing, if you want i can still explain more later)
7x + 8x = 90
15x = 90
x = 90/15
x = 6
Answer:
See Below.Explanation:
Both the angles lie inside a right angle, whose total sum is 90 degrees.
Solve:
7(x) + 8(x) = 90°15(x) = 90°x = 6°Each of the angle:
7(x) ⇒ 7(6) = 42°8(x) ⇒ 8(6) = 48°
can you please help with this please.
Answer: The following is listed below.
Step-by-step explanation: The following pairs are below:
3 quarters (.75¢): 7 dimes and 1 nickel.9 dimes (.90¢): 3 quarters and 3 nickels.17 nickels (.85¢): 8 dimes and 1 nickel.1 dollar and 3 quarters ($1.75): 7 quarters.11 dimes ($1.10): 22 nickels.3 dimes (.30¢): 6 nickels.5 quarters ($1.25): 25 nickels.6 dimes (.60¢): 2 quarters and 1 dime.13 nickels (.65¢): 2 quarters and 3 nickels.1 dollar and 8 dimes ($1.80): 18 dimes.Now, all you have to do is do the following pairings that I listed above with a partner and you're all good to go!
Remember, 0.25¢is a quarter, 0.10¢is a dime, 0.05¢is a nickel, and 0.01¢is a penny.
Have a great day! :)
Brittany deposited $3,000 in a new account at her bank.
The bank pays 6% interest compounded annually.
Brittany makes no additional deposits or withdraws.
What will be the balance of the account at the end of 3 years? (Include Decimal with the cents; No Commas)
The total amount accrued, principal plus interest, with compound interest on a principal of $3,000.00 at a rate of 6% per year compounded 1 times per year over 3 years is $3,573.05.
Compound InterestGiven Data
Principal = $3000Rate = 6%Time = 3 yearsA = P + I where
P (principal) = $3,000.00
I (interest) = $573.05
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 3,000.00(1 + 0.06/1)^(1)(3)
A = 3,000.00(1 + 0.06)^(3)
A = $3,573.05
Learn more about compound interest here:
https://brainly.com/question/24924853
Your younger brother is getting stickers from a vending machine at the local supermarket. A proportion of stickers have the
phrase "Girls Rule!" If there are eight stickers with this message in a sample of 36 stickers, what is the 95% confidence interval
for this proportion? (1 point)
0 (0.0864, 0.3580)
0 (0.0862, 0.3578)
0 (0.0847, 0.3553)
0 (0.0812, 0.3256)
Answer:
p^=368=0.2222.95%CI=(0.2222−1.960.2222(1−0.2222)36,0.2222+1.960.2222(1−0.2222)36)=95%CI=(0.2222−1.96360.2222(1−0.2222),0.2222+1.96360.2222(1−0.2222))==(0.0864,0.3580).
=(0.0864,0.3580).
Step-by-step explanation:
flvs?
The 95% confidence interval for the given proportion is (0.864, 0.3580).
What is a confidence interval?In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of predicted observations are frequently used by analysts.
Given total samples = E = 36
number of outcomes = 8
probability = p = 8/36 = 0.2222
value of z for 95% confidence interval = 1.96
intervals = p ± z([tex]\sqrt{\frac{p(1 - p)}{E} }[/tex])
taking positive sign
= 0.2222 + 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.3580
taking negative sign
= 0.2222 - 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.0864
Hence, the intervals are (0.864, 0.3580), and option A is a suitable answer.
Learn more about confidence intervals;
https://brainly.com/question/24131141
#SPJ2
6x4y how do I solve this?.
Answer:
24y
Step-by-step explanation:
Multiple 6x4 to get 24
and then put the y in to
get your answer
solution÷
6×4y
6×4y=0
multiply 6×4y
24y=0
now send 24 to the right side and divide
y=0÷24
therefore,y=0
Draw a picture to answer.
what is 1/4 of 12?
Answer:
3
Step-by-step explanation:
1/4 x12= 12/4
12/4=3
Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft.Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.
The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
SpeedLet x be the speed of the current in km/h units
Speed of the boat traveling against the current= (15-x) km/h
Time spent traveling 36 miles against the current=36/15-x hours
Time spent rafting36miles (with the current) =35/x hours
Equation=36/x-36/15-x=9
Multiply both sides by x×(15-x)
36×(15-x) - 36x = 9x×(15-x)
540 - 36x - 36x=135x-9x²
9x²-207x+540=0
x²-23x+60=0
(x-3)×(x-30) = 0
Roots are x= 3 and x= 30
Since 15-x must be positive, the only root x = 3 survives
Hence:
Speed =3 km/h
Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
Learn more about speed here:https://brainly.com/question/4931057
how to work out 15% of £24
Answer:
3.6.
Step-by-step explanation:
15% = 15/100 = 0.15
so the answer is 0.15 * 24
= 3.6
Answer:
3.60
Step-by-step explanation:
Note:
Of = Multiply
15% can also be written as .15 as decimal
Solve:
.15 × 24 = 3.60
Or we can solve like this:
[tex]\frac{24}{x}=\frac{100\%}{15\%}[/tex]
[tex]\frac{x}{24}=\frac{15}{100}[/tex]
[tex]\Rightarrow x=3.6[/tex]
Therefore, 15% of £24 is 3.60
~Lenvy~
17. Find the volume of the prism.
Answer:
6.4 in^3 would be the correct answer
How can the product of 0.8 and 2 be determined by using a number line?
Number line from 0 to 2 with tick marks at every tenth.
Enter your answers in the boxes.
Start at 0 and jump to
. From there, jump a distance of
to land on
, which is the product of the numbers.
answer and explanation !!
QUICK PLS
Answer:
Step-by-step explanation:
diameter = 6 in
r = 6/2 = 3 in
h = 8 in
[tex]\textbf{Area of cylinder = $2\pi r(r+h)$ }[/tex]
[tex]= 2*3.14*3*(3+8)\\\\= 2*3.14*3*11\\\\= 207.24 \ in^{2}[/tex]
NEED HELP NOW PLEASE!!! Will give Brainlyist points
Brainliest available
Find "X"
I think you meant solve [tex](4^2)x(2^9)[/tex]
Answer:
8192
Step-by-step explanation:
Given:
[tex]\left(4^2\right)x\left(2^9\right)[/tex]
Solution:
[tex]\left(4^2\right)x\left(2^9\right)[/tex]
[tex]=4^2x \:2^9[/tex]
[tex]4^2=16[/tex]
[tex]=16x \:2^9[/tex]
[tex]2^9=512[/tex]
[tex]=16x\:512[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:16\cdot \:512=8192[/tex]
[tex]=8192[/tex]
~lenvy~
Answer:
=> 8192
Step-by-step explanation:
Given :
(4²)x(2⁹)
=> (16)x(512)
=> 16.512
=> 8192
-4 + 3y = 29
5x + y = -3
solve by substitution
Step-by-step explanation:
please mark me as brainlest
Answer:
y=11
x= -2.8
Step-by-step explanation:
y= -5x-3
-4+3 (-5x-3)=29
-4-15x-9=29
-4-9-29=15x
-42=15x
x= -2.8
y= -1 (5×-2.8)-3
=14-3
y=11
how can you take 20% off of a normal price
try to understand the example.
I used 20/100 since 20% is obviously 20/100 and I used ×1000 cus for 1000, you want 20%
hope it helps...!!!
3. What is the slope of a line that passes
through (0,-5) and (8,27)?
Answer:
4.
Step-by-step explanation:
Slope = difference in y coordinates / difference in the corresponding x coordinates
(27 - (-5)) / (8 - 0)
= 32 / 8
= 4.
Answer: Well, The entered points belong to an increasing, linear function.
Equation: y = 2.75x + 5.
You're key in this will be y=mx+b right?
Then you're M in y=mx+b is your slope. Therefore, if we take a look at our M in the slope we got,.....y = 2.75x + 5......it's-
2.75.
So you're slope is y= 2.75x
I'm not that great at explaining but yeah, i tried lolz :3