Answer:
The distance from vertex B to the midpoint of AC is 3.
Step-by-step explanation:
From Linear Algebra we understand that location of the midpoint of AC is determined by the following formula:
[tex]M(x,y) = \frac{1}{2}\cdot A(x,y) + \frac{1}{2}\cdot C(x,y)[/tex] (1)
Where:
[tex]A(x,y)[/tex], [tex]C(x,y)[/tex] - Locations of vertices A and C regarding origin, dimensionless.
[tex]M(x,y)[/tex] - Location of the midpoint regarding origin, dimensionless.
If we know that [tex]A(x,y) = (1,-3)[/tex] and [tex]C(x,y) = (5,-3)[/tex], then the midpoint of AC is:
[tex]M(x,y) = \frac{1}{2}\cdot (1,-3)+\frac{1}{2}\cdot (5,-3)[/tex]
[tex]M(x,y) = \left(\frac{1}{2},-\frac{3}{2} \right)+\left(\frac{5}{2}, -\frac{3}{2} \right)[/tex]
[tex]M(x,y) = (3, -3)[/tex]
Lastly, the distance from vertex B to the midpoint of AC is calculated from the Pythagorean Theorem:
[tex]d = \sqrt{(M_{x}-B_{x})^{2}+(M_{y}-B_{y})^{2}}[/tex] (2)
If we know that [tex]M_{x} = 3[/tex], [tex]M_{y} = -3[/tex], [tex]B_{x} = 3[/tex] and [tex]B_{y} = 0[/tex], then the distance is:
[tex]d = \sqrt{(3-3)^{2}+(-3-0)^{2}}[/tex]
[tex]d = 3[/tex]
The distance from vertex B to the midpoint of AC is 3.
Solve the
equation:
18 + x = 1
Answer:
x=-17
Step-by-step explanation:
Subtract 18 on both sides
18-18+x=1-18
x=-17
Hope this helps :D
Please mark brainliest
Answer:
x = -17
Step-by-step explanation:
Subtract 18 from both sides to get X by itself.
18 + x = 1
x = 1 - 18
x = -17
6x+2y=8 slope intercept form
Answer:
Step-by-step explanation:
Mark as brainliest
Nadia surveyed the six grade class to find out about their favorite hobbies. She plans to create a circle graph using the
data. Which statements are true about the circle graph Nadia can create? Check all that apply.
Answer:
im not exactly sure but i think its a b c e i will coment the correct answer if this is wrong
Step-by-step explanation:
Subtract. Express your answer in simplest form.
5
ထ |
9
12
3
O
12
51
108
17
36
Write an equation of the line, with a slope of -3 and y- intercept of 9, in slope-intercept form
Answer:
JLKACQSCVWMNDV
Step-by-step explanation:
QSQW VMBW DVNWD VMW V
Answer:y = -3x +9
Step-by-step explanation:
12 x 1/2
How do I solve that, and what’s the answer?
Answer:
The answer is 6
Step-by-step explanation:
12 divided by 2 is 6. If you have a fraction of 1/2, then its half of it. 6 is half of 12. :)
Answer: 6
Explanation:
You can multiply the numerator by the numerator and the denominator by the denominator.
The numerator of 12 is 12 and denominator of 12 is 1.
[tex]\frac{12}{1} *\frac{1}{2}=\frac{12}{2}[/tex]
Simplify this fraction and you get 6 over 1 or just 6.
You can also use common sense (not really).
You probably know that 1/2 is one half. To find half of something, you would normally divide by 2. 12 divided by 2 is 6.
Find sin A.
Hypotenuse= 45
Opposite= 27
Adjacent= 36
A. sin A=4/5
B. sin A=5/4
C. sin A=4/3
D. sin A=3/5
Answer:
c
Step-by-step explanation:
Answer:
A 4/5
Step-by-step explanation:
Cosine of an angle is the adjacent side over the hypotenuse. Sin A = 36/45 = 4/5.
Hope this Helps :)
30% of 44 is equal to 3% of 440
a. True or false?
Answer:
True
Step-by-step explanation:
44 x 10 = 440
30% x 0.1 = 3
Therefore 30% of 44 is equal to 3% of 440
Misti bought a package of three T-shirts for $18.75. What is the unit price per T-shirt? A $6.25 C $12.50 B $6.50 D $15.75
Answer: 6.25
Step-by-step explanation: simple division
y=2/3x is this a proportional relationship
What is the circumcenter of the triangle with vertices of (3,5) (-3,-3) and (3,-3)
Answer: (0,1)
Step-by-step explanation:
I need help with number 11 ASAP!
Vertical angles are:
Always congruent
Sometimes congruent
Never congruent?
Answer:
always
Step-by-step explanation:
bc it’s right lolz
Find the range and interquartile range for 47, 49, 48, 45, 50, and 49.
Answer:
really hope this helps or answers your questions!!
Step-by-step explanation:
Mean 49
Mode 45
Median 50
range is 5
Explanation:
Put the numbers in order
45,45,47,50, 51,52,53,
The number that happens MOST the MODE is 45
The number in the MIDDLE, the MEDIAN is 50
The MEAN is the total of the 7 numbers shared out evenly.
Total 343
343 Divided by 7 =49
what fraction of 45 m is 180 cm
Answer:
1/25
Step-by-step explanation:
45 meters is equal to 4500cm
4500 divide by 180 is 25
So, 180 is equal to one over 25
(One twenty-fifth)
The expression 50 can be simplified to
Answer:
25
Step-by-step explanation:
The first step in simplifying the expression of the square root of 50 involves finding factors of 50. This just means we are trying to find two whole numbers that, when multiplied, equal 50. Since 50 is an even number, 2 is going to be a factor, and so we can rewrite 50 as 2 times 25.
The winner of a jump rope contest jumped 4 times as long as the person who finished in fifth place. The fifth place finisher jump rope for 120 seconds. Which equation shows the total number of seconds the winner jumped rope?
Answer:
x= 4*120
Step-by-step explanation:
The 5th place person jumped for 120 seconds
The 1st place jumped 4 times as long
So 120 times 4 = 480 seconds or 8 minutes
Identify each measurement is the diameter radius or circumference the tires on a mining truck and 14 feet tall
Answer:
r = 7
c = 43.98
a = 153.94
Step-by-step explanation:
What are all the like terms for -5x? a:0.5. B:7.5x. C:-5. D:-x. E:2/3x.
what is (8+7 + 3.3) times ( 1/2) ^2
Answer & Step-by-step explanation: 4.58
PEMDAS:
Parenthesis first! (8 + 7 + 3.3) = 18.3
Exponents second! [tex]1/2^{2}[/tex] = 1/4 = 0.25
Multiply third and solve! 18.3 x 0.25 = 4.575
Round if needed! 4.575 = 4.58 = 4.6 = 5
Mikey bikes 12 miles in 2 hours. How many miles does Mikey bike in an hour?
Answer:
6 miles
Step-by-step explanation:
2 hours can be made into 1 hour by dividing by 2. In order to keep the ratio, you also have to divide the miles by 2, giving you 6.
2:12
1:6
What is the value of w ?
Answer:
Step-by-step explanation:
w = 35
Can u help me please
If you scale a figure by less than 1 or less than 100%, does the new copy increase or decrease in size? *
Answer:
Decrease
Step-by-step explanation:
It gets smaller because it is 100% is full size, so less would make it smaller
Solve the equation ƒ - (-4) = 12.
ƒ = -8
ƒ = 16
ƒ = 8
ƒ = -9
For the one-to-one function
f(x) = x3 - 2, find f-'(x).
Answer:
f-'(x) = [tex]\sqrt[3]{x+2}[/tex]
Step-by-step explanation:
What is 1 2/10+8 1/18=
Answer: [tex]{9}\frac{23}{90}[/tex]
Step-by-step explanation:
6th grade math I mark as brainliest
Answer:
1/9
Step-by-step explanation:
Multiply the numerators and multiply the denominators
1 x 1 = 1
3 x 3 = 9
who play pubg? Check out my account : sweetiepie67
Answer:
[tex]\blue{\underline{\underline{\sf{Answer :-}}}} [/tex]
★ in india pubg is banned
Answer: Do you play pubg mobile because i do i play whit 4 finger claw and i am good i am on ACE whats your name or ID
Step-by-step explanation:
What is the other possible value of x
4+4|2x-1|=12
X=? X= 0.5
Answer:
x= 3/2, -1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
So the problem is 4+4|2x-1|=12
First do 2*0.5, which is 1.
Next subtract 1 from 1, which is 0.
Now add 4+4, which is 8.
So the answer is 8.
BTW If this is wrong please dont give me hate!