Answers
Answer: Lines [tex]\frac{}{BC}[/tex] and [tex]\frac{}{EF}[/tex] are different lengths.
Step-by-step explanation:
The distance formula is [tex]\sqrt{(x_1-x_2) ^{2}+(y_1-y_2) ^{2} }[/tex], and you can use this formula to solve for the lengths of both lines [tex]\frac{}{BC}[/tex] and [tex]\frac{}{EF}[/tex].
For line [tex]\frac{}{BC}[/tex], let [tex]x_{1}[/tex] = the x at point B, or 1, and let [tex]x_{2}[/tex] = the x at point C, or 2.
Now, let [tex]y_{1}[/tex] = the y at point B, or 4, and let [tex]y_{2}[/tex] = the y at point C, or -1.
Now, solve the formula to find the length [tex]\frac{}{BC}[/tex] = [tex]\sqrt{(x_1-x_2) ^{2}+(y_1-y_2) ^{2} }\\[/tex].
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{(1-2)^{2} +(4-(-1))^2[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{(-1)^{2} +(4+1)^2[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{1 +5^2[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{(1+25)[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{26} \\[/tex]
Now, for line [tex]\frac{}{EF}[/tex], let [tex]x_{1}[/tex] = the x at point E, or -4, and let [tex]x_{2}[/tex] = the x at point F, or -1.
Let [tex]y_{1}[/tex] = the y at point E, or -3, and let [tex]y_{2}[/tex] = the y at point F, or 1.
Now, solve the formula to find the length [tex]\frac{}{EF}[/tex] = [tex]\sqrt{(x_1-x_2) ^{2}+(y_1-y_2) ^{2} }\\[/tex].
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(-4-(-1))^{2} +(-3-1)^2[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(-4+1)^{2} +(-4)^2[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(-3)^2+16[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(9+16)[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{25}[/tex]
[tex]\frac{}{EF}[/tex] = 5
Now, look back at [tex]\frac{}{BC}[/tex]. The two lines have different lengths, so you have now justified the fact that they are not the same.
Questions 13 and 14 would be solved in much the same way- but please let me know if you want me to show the work for those as well!
Related Questions
in this figure , m<1=(2x)° and m<2 = (6x-6)° what is m<1
Answers
Answer:
where is the figure?
Step-by-step explanation:
given PR with P(-6, -6) and R(-2, 10), if Q lies on PR such that the ratio of PQ to PR is 5:8 find the coordinates of Q
Answers
Lines can be divided into segments using ratios. The coordinates of Q when PR is divided into 5:8 is [tex](-4.462,0.154)[/tex]
Given that:
[tex]P (x_1,y_1) = (-6,-6)[/tex]
[tex]R (x_2,y_2) = (-2,10)[/tex]
[tex]m:n = 5:8[/tex] --- the ratio
The coordinate of Q is calculated using the following line ratio formula
[tex]Q = \frac{1}{m+n}(mx_2 + nx_1,my_2 + ny_1)[/tex]
So, we have:
[tex]Q = \frac{1}{5+8}(5\times -2 + 8\times -6,5\times 10 + 8\times -6)[/tex]
[tex]Q = \frac{1}{5+8}(-58,2)[/tex]
[tex]Q = (-58/13,2/13)[/tex]
[tex]Q = (-4.462,0.154)[/tex]
Hence, the coordinates of Q is [tex](-4.462,0.154)[/tex]
Read more about line ratio at:
https://brainly.com/question/3017771
Jimmy is going scuba diving. He started at 10 ft below sea level. He then dove 15 ft further, then he got nervous and came up 5 ft. Write this as an expression (im in 7th grade plz help)
Answers
Answer:
it is 55
Step-by-step explanation:
three candidates sat for mathematics examination and their probabilities of passing are 4/5,3/5 and 2/5.find the probability that at least one passed?
Answers
hksjhuja kanhshke kkajbevbeks jjsbbwne k
Sarah bought 3 pounds of grapes for $2.25. Dan bought 4 pounds of grapes for $3.00. Answers- y=3/4x. y=2x. y=3x. y=1/3x
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Use long division to express each fraction as a decimal
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Answer:
Sorry what fraction
Step-by-step explanation:
ez matth
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Answer:
Ray EA & Ray EC
(last one)
Step-by-step explanation:
Opposite rays make a 180 degree line.
For naming it, always start with the endpoint and then to the arrow.
Identify the property illustrated by the statement. Assume all variables represent real
numbers.
(7 + 1) + 3 = (1 + 7) + 3
A- Associative
B- Distributive
C- Closure
D-Commutative
Answers
9514 1404 393
Answer:
D - commutative
Step-by-step explanation:
The commutative property of addition is the property that allows you to change the order of operands without changing the result.
If ;= -7, what is the value of 13?
-1
i
1
-i
Answers
Answer:
B r a i n d o e s n o t c o m p r e h e n d
Step-by-step explanation:
m e n o u n d e r s t a n d
Answer:
M E N E I T H E R ! ! ! !
Step-by-step explanation:
U H h h H H H H H H !!!!!!!!!
Ashley correctly compares the values of the digits in 644.66. Select the comparison Ashley could have made.
Answers
Answer:
the 4 in the tens place is ten times the value of the 4 in the ones place
Step-by-step explanation:
please give brainliest
Which of the following is equal to the rational expression when x≠5
Answers
Answer:
the following is equal to the rational expressions when x5
Write the number as a decimal
forty-four and three hundred one ten-thousandths
Answers
Answer:
44.031
Step-by-step explanation:
The quotient of three times a number and four is at least -16
Answers
Answer:
3x(the number)\4 = -16
3x= -16 x 4
x = -64/3
hope it helped !
8,100,000 in scientific notation
Answers
Answer: 8.1 x 10 to the 6th power.
Step-by-step explanation:
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Answers
Answer:
48 feet
Step-by-step explanation:
1 yard equals 3 feet, so you'll just need to multiply 16 x 3.
16 x 3 = 48
Answer:
48 feets
Step-by-step explanation:
1yard=3feets
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Martu is four time as old
wreh. If the combine age is
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Answers
Answer:
167
Step-by-step explanation:
a store is selling a sweater for $68. if the state adds in a 8.5% sales tax, find the total price of the sweater
Answers
Answer:
$73.78
Step-by-step explanation:
$68 + (68*8.5%)
$68 + (68*0.085)
$68 + $5.78
$73.78
The total price of the sweater will be $73.78.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
The percentage is just like the amount of that value but in between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.
Given that,
Price of sweater = $68
Percentage tax on the price of sweater = 8.5%
Now,
8.5% of 68 will be
⇒ 8.5 × 68/100 = $5.78
So, the total price will be
⇒ 68 + 5.78 = $73.78
Hence "The total price of the sweater will be $73.78".
For more about the percentage,
brainly.com/question/13450942
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If each cube in the rectangular prism measures 1 cubic centimeter, what is the volume of the prism?
A. 7 cubic cm
B. 12 cubic cm
C. 16 cubic cm
D. 8 cubic cm
Answers
Answer:the answer is 12 since there is 6 on top then the bottom layer must be the same
Step-by-step explanation:
PICTURE ABOVE ^^ PLEASE HELP
Answers
Answer: 4 /15
Step-by-step explanation:
[tex]0.2\overline{6}\\\\=0.2+\dfrac{1}{10} *\dfrac{6}{9} \\\\=\dfrac{1}{5} +\dfrac{1}{15} \\\\\\\boxed{0.2\overline{6}=\dfrac{4}{15} }\\[/tex]
What is the simplified form of the following expression? Assume x 0
Answers
Answer:
0
Step-by-step explanation:
because anything simplified is zero
Hi i need help please and thank you
Answers
Answer:
Jayla has 2.26 meters of ribbon
Explanation:
[tex]1.36 + 0.9 = 2.26[/tex]
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Answers
I could be wrong here, but this is what I got
Answer:
12 (for the first blank)
True (in the second one)
Step-by-step explanation:
The -9 strikes out and leaves the 12s.
You know that the gas tank in your car holds 20 gallons of gas and the gauge reads 1/4 full. The price of gasoline is $3.10 per gallon. How much will it cost to fill up the car?
Answers
Answer:
$46.50
Step-by-step explanation:
20/4 =5
1/4 is already full so u only need 15 gallons
15 × $3.10 = $46.50
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
You know that the gas tank in your car holds 20 gallons of gas and the gauge reads 1/4 full. The price of gasoline is $3.10 per gallon. How much will it cost to fill up the car?[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Gallons the car can hold = 20Fraction of gallons that are present in the car = 1/4Fraction of gallons left to fill = 3/4 [4/4 - 1/4 = 3/4]Gallons left to fill = 15 [20 × 3/4 = 15]Cost per gallon of gasoline = $ 3.10Cost to fill up the car = ?Now, let's solve it.
First we've to form an equation ... we know from the statements given above (in bulletin points) that ⇨ 3.10 × 15 = cost to fill up the car.
Let's use it to solve the question.
[tex] \sf3.10 \times 15 \\ = \boxed{ \boxed{\bf 46.5 \: dollars}}[/tex]
So, you'll need about $ 46.5 to fill up the car.Solve the exponential equation: 4 1/2x=256
A) x = 4
B) x = 2
C) x= 8
OD) x= 1/2
Answers
Hi there!
We are given:
[tex]4^{\frac{1}{2}x} = 256[/tex]
We can rearrange this into a logarithm:
[tex]log_4256 = \frac{1}{2}x[/tex]
Evaluate the left side:
4 = 1/2x
Multiply both sides by 2:
x = 8
What is 2/3 + 4/15 + 1/5 =
(Pls help-)
Answers
Answer:
one whole number two over fifteen or in decimal 1.1333
Step-by-step explanation:
this mathematics is very by explanations ,
Firstly, look for the LCM of the in the denominators ,that is look for the LCM of 3,15,5 which is 15 then a straight line keep the denominators result from the LCM under the straight line then use the denominators to divide 15 and multiply with numerators and then add the results and then you divide it by 15 and the result is 17 then 17/15 then you have one whole number,two over fifteen
Answer:
1.13333333333
Step-by-step explanation:
Help with fraction. It’s been awhile and I forgot what to do with this process …
Answers
Step-by-step explanation:
[tex] \frac{ \frac{1}{5} - \frac{1}{2} }{5 - 2} [/tex]
[tex] \frac{ \frac{2}{10} - \frac{5}{10} }{3} = \frac{ \frac{2 - 5}{10} }{3} = \frac{2 - 5}{10 \times 3} [/tex]
[tex] \frac{ - 3}{30} = \frac{ - 1}{10} [/tex]
Answer:
Do the subtractions in the numerator and denominator.
1/5 - 1/2 = 2/10 -5/10 = -3/10
5 -2 = 3
that equals -3/10 / 3 which equals -.1
OR multiply top and bottom by 10 which equals
-3 / 30 which also equals -.1
Step-by-step explanation:
The high temperature for a day in January is 7°F the low temperature that day was "-5°F" what is the difference in temperatures
Answers
Answer:
The answer is 12
Step-by-step explanation:
first you count 1,2,3,4,5,6,7
after you do that when you go down to the negatives you are at -1,-2,-3,-4,-5 which is 5 numbers
so 7+5=12
The price of an item has been reduced by $2.18. The new sale price is $36.64. What was the original price?
Answers
Hello :D
To find out the original price you have to do:
$36.64 + $2.18 = $38.82
Original price = $38.82
Bill borrowed $212 from his friend last week. He had given his friend back $89 earlier in the day, but he soon realizes that he needs to borrow another $32 from his friend to take Lindsey to the movies. What will Bill's financial situation (as a signed number) be at the end of the day?
Answers
= 123+32
= $155
He will own $155 at the end of the day
2 years= _______ minutes
5 hours= _______ minutes
Could somebody please answer both of these questions !!
Answers
Answer:
2 years = 1,051,200 minutes
5 hours = 300 minutes
Step-by-step explanation:
To convert years to minutes, multiply the number of years by 525,600.
To convert hours to minutes, multiply the number of hours by 60.
