The midpoint of a line divides the line into equal segments.
The option that proves PQ = LO is (a)
The given parameters are:
[tex]\mathbf{L = (0,0)}[/tex]
[tex]\mathbf{M = (3,0)}[/tex]
[tex]\mathbf{N = (3,7)}[/tex]
[tex]\mathbf{O = (0,7)}[/tex]
P is the midpoint of LM.
So, we have:
[tex]\mathbf{P = \frac{LM}{2}}[/tex]
[tex]\mathbf{P = (\frac{(0 +3}{2},\frac{0+0}{2})}[/tex]
[tex]\mathbf{P = (\frac{3}{2},0)}[/tex]
Q is the midpoint of NO.
So, we have:
[tex]\mathbf{Q = \frac{NO}{2}}[/tex]
[tex]\mathbf{Q = (\frac{(3 +0}{2},\frac{7+7}{2})}[/tex]
[tex]\mathbf{Q = (\frac{3}{2},7)}[/tex]
Distance PQ is calculated as follows:
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
This gives:
[tex]\mathbf{PQ = \sqrt{(3/2 - 3/2)^2 + (0 - 7)^2}}[/tex]
[tex]\mathbf{PQ = \sqrt{ 7^2}}[/tex]
[tex]\mathbf{PQ = 7}[/tex]
Distance LO is calculated as follows:
[tex]\mathbf{LO = \sqrt{(0 - 0)^2 + (0 - 7)^2}}[/tex]
[tex]\mathbf{LO = \sqrt{ 7^2}}[/tex]
[tex]\mathbf{LO=7}[/tex]
So, we have:
[tex]\mathbf{PQ = 7}[/tex]
[tex]\mathbf{LO=7}[/tex]
Thus:
[tex]\mathbf{PQ = LO}[/tex]
Hence, the correct option is (a)
Read more about distance and midpoints at:
https://brainly.com/question/11231122
erome has an app that tracks his running times and distances. He records his distances and times in a table.
Time (secs) Distance (mi)
3
14.4
6
28.8
9
43.2
12
57.6
What is Jerome's speed in distance compared to time?
Enter only a number in the space provided. Do not enter words in the box.
Answer:
IM SMART
Step-by-step explanation:
given the graphs of f and g below, find the following. give the exact if defined.
Answer:
looks like your understanding is pretty good! I'm not sure how you missed the first 2... you should check those two against your understanding.
Step-by-step explanation:
a) 2
b) 1
PLEASE HELP what is the next term what is A in the sequence and what is the common ratio for 2 4 8 16 32
Answer:
The next term is 64, a is 2, and the common ratio is 2.
Step-by-step explanation:
Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.
2(y−1)+6y = −10
Solve as Y=?
Answer:
0.111 hope that helps you
Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
no pic ANSWER IT
Answer:
12?
Step-by-step explanation:
Answer:The Answer is 10!!!
Step-by-step explanation:
If you plot (1,4) and (-5,-4) on a graph, you can see that you can form a right triangle.
you would count the values on the X-axis and on the Y-axis. The values are 6 and 8 respectively.
You put the values on the second power and add them. So the equation would be 6^2 + 8^2. The answer would be 100. Because the Pythagorean Theorem is a^2 + b^2= c^2, you would square root would be 10. The distance between the two points is 10.
Which point is the vertex?
C
B
A
None of the above
Answer:
B
Step-by-step explanation:
Hope this helps you out! :)
Please help! And give explanation please
Answer:
the answer is option D
Step-by-step explanation:
if you add the no of students in favour of the survey
32+42+58+64=192
which makes the first option incorrect.
The opinion of tenth and eleventh graders are not identical.
11th and 12th graders gave a favourable response
so options A,B and C are incorrect
This is a 30-60-90 triangle.
What is the measure of x?
18
X
X
x = 9V [?]
Answer:
[tex] \huge\: x =9 \sqrt{ \boxed{3}} [/tex]
Step-by-step explanation:
Given is a 30°-60°-90° triangle and x is the length of side opposite to 60° angle.
[tex] \therefore \: x = \frac{ \sqrt{3} }{2} \times 18 \\ \\ \therefore \: x = \sqrt{3} \times 9 \\ \\ \huge\therefore \: x =9 \sqrt{ \boxed{3}} [/tex]
Answer:
3
Step-by-step explanation:
Create a right triangle, in which A is the right angle, and mZC is approximately 60°. What is the approximate measure of _B? m_B = What is the sum of m_A, m_B, and m_C?
Answer:
The answer would be 30 the second one is 180
mark me brainlyest plz
Pls HelP Me ASAP!~!~!~!
Describe and correct the error
|-13|-|13|
=-13-13
=-26
Answer:
The error is that the question equals -13-13.
Step-by-step explanation:
This is absolute value, so anything inside of the bars is positive. Since the first -13 has bars around it it would be positive. But since the second - is outside of the 13 with bars, the 13 stays negative, so it would be 13-13. Hope this helps! :)
please help!
-
-
-
-
-
What is the decimal equivalent of 2
- ?
3
Answer:
.666
Step-by-step explanation:
Two people wrote a book together. They agreed to share the royalties so that the senior author received twice as much as the
junior author. What is each author's share of a $2400 royalty check?
Answer:
Junior author = $800
Senior author = $1600
Step-by-step explanation:
The check is split between the senior author and junior author in the ratio of 2:1
2:1 = $2400
Add the ratios together:
2 + 1 = 3
3 parts = $2400
Find one part of the total check by dividing both sides by 3:
1 part = $800
The junior author would get $800, and the senior author would get double, $1600can someone help me please ?
Answer:
18 x^7 y^5
Step-by-step explanation:
Does anyone know this please!!?!?
Answer:
5)3/2
6) 7
7)16
8)13
9)27
10)17
Step-by-step explanation:
5) 4x+3=10x-1
x=3/2
6)9x-25=38
x=7
7)5x-7=
A truck can cover 126km in 12 hours.Find the distance
covered by the truck in 8 hours.
Answer:
[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]
Please help I really need help.
Solve each system of linear equations using the elimination mehod
-8x + 10y = -22
8x - 15y = 17
Answer: y = 1 and x = 4
Step-by-step explanation:
-8x + 10y = -22
8x - 15y = 17
-----------------------
- 5y = -5 Add the two equations to eliminate x
y = 1 Solve for y
=====
8x - 15y = 17 (y = 1) Use y=1 in either equation
8x - 15 = 17
8x = 32
x = 4 Ta da
Answer:
solution: x = 4, y = 1 or (4, 1)
Step-by-step explanation:
To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):
-8x + 10y = -22
+ 8x - 15y = 17
- 5y = -5
Divide both sides by -5 to solve for y:
[tex]\frac{-5y}{-5} = \frac{-5}{-5}[/tex]
y = 1
Next, substitute the value of y into one of the equations to solve for x:
-8x + 10y = -22
-8x + 10(1) = -22
-8x + 10 = -22
Subtract 10 from both sides
-8x + 10 - 10 = -22 - 10
-8x = -32
Divide both sides by -8 to solve for x:
[tex]\frac{-8x}{-8} = \frac{-32}{-8}[/tex]
x = 4
Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).
A hardware dealer has 168kg of nails, if one nail weighs 0.25kg, how many nails he have?
Answer:
He has 672 nails
Step-by-step explanation:
168/.25
Answer:
He has 672 nails.
Step-by-step explanation:
Weight of all nails=168
Weight of a nail=0 .25
Then,
Number of nails=168/0.25
=672
can somebody help me with number 26 please? Giving brainliest!!
Answer:
Ans 26
Step-by-step explanation:
F(x) = x/2
proof:
at x=0, f(x)=0
at x= -2 , f(x) = -1
and x = -4 , f(x) = -2
that's it.
find the value of x
HELP HELP! Will give brainliest
Answer:
2347897876 my number
Step-by-step explanation:
Please help me due in an hour
Answer:
Ok so it would be square root 1
Step-by-step explanation:
maths help me form 1 maths
Answer:
(i. -15<-9)
II. is -3^2 is > then 2^3
Answer:
1 = <
2= >
Step-by-step explanation:
write each of the following in the form of a x + B Y + C is equal to zero and find the values of a b and c
Step-by-step explanation:
(i) 2x = 5
compare with ax+by+c = 0
→ 2x + 0.y - 5 = 0
» a = 2 ,b = 0 ,c = -5
(ii) y - 2 = 0
compare with ax + by + c = 0
→ 0.x + 1y -2 = 0
» a = 0 , b = 1 , c = -2
(iii) y/7 = 3
y = 3×7
y = 21
y - 21 = 0
compare with ax + by + c = 0
→ 0.x + 1y -21 = 0
» a = 0 , b = 1 , c = -21
(iv). x = -14/13
13x = -14
13x + 14 = 0
compare with ax + by + c = 0
→ 13x + 0.y + 14 = 0
» a = 13 , b = 0 , c = 14
if 0
prove:
a) a³
what is the answer?
I think you meant, if a = 0.
If a = 0, then,
a³ = 0³
a³ = 0 × 0 × 0
a³ = 0
Any number multiplied by 0 is 0....
PLEASE HELP!!
What is the equation of the line —3x – 2y = 30 in slope-intercept form?
I believe the first answer shown in the picture because y= mx + b so it's y=3x+30
hope this helps!
A dump truck can hold 2¼ tons of gravel. The pay loader loading the truck puts 750 pounds of gravel in the truck at one time. How many loads does the pay loader need to dump in the truck before it is full?
Answer:
6 loads would be required to fill the truck with 2¼ tons
Step-by-step explanation:
1 ton= 2000 pounds
2¼ tons= 4500 pounds
4500/750=6
Please allow me to know this helped by clicking thank you, rating or brainly.
Thank you,
Miss Hawaii
Answer:
6 loads
Step-by-step explanation:
3 x 100 + 5 x 10 +6⋅1 + 8 x .1 + 2 x .01
100 points AND crown to right answer
7819 rounded to 1 significant figure
Answer:
8000
Step-by-step explanation: