The midpoint of a segment divides the segment into equal halves
The coordinates of K are: [tex]\mathbf{K = (12,12)}[/tex]The coordinates of I are: [tex]\mathbf{I = (24,24)}[/tex]The coordinates of B are: [tex]\mathbf{B = ( 30,33 )}[/tex]The given parameters are:
[tex]\mathbf{R =(24,0)}[/tex]
[tex]\mathbf{N =(12,18)}[/tex]
[tex]\mathbf{T =(12,6)}[/tex]
[tex]\mathbf{E =(18,15)}[/tex]
K is the midpoint of N and T.
So, we have:
[tex]\mathbf{K = (\frac{N_x + T_x}{2},\frac{N_y + T_y}{2})}[/tex]
This gives
[tex]\mathbf{K = (\frac{12 + 12}{2},\frac{18+ 6}{2})}[/tex]
[tex]\mathbf{K = (12,12)}[/tex]
E is the midpoint of T and I.
So, we have:
[tex]\mathbf{E = (\frac{I_x + T_x}{2},\frac{I_y + T_y}{2})}[/tex]
This gives
[tex]\mathbf{(18,15) = (\frac{I_x + 12}{2},\frac{I_y+ 6}{2})}[/tex]
Multiply through by 2
[tex]\mathbf{(36,30) = (I_x + 12,I_y+ 6)}[/tex]
By comparison
[tex]\mathbf{I_x + 12 = 36.\ I_y + 6 =30}[/tex]
So, we have:
[tex]\mathbf{I_x= 24.\ I_y =24}[/tex]
Hence, the coordinates of I are:
[tex]\mathbf{I = (24,24)}[/tex]
I is the midpoint of E and B.
So, we have:
[tex]\mathbf{I = (\frac{E_x + B_x}{2},\frac{E_y + B_y}{2})}[/tex]
This gives
[tex]\mathbf{(24,24) = (\frac{18 + B_x}{2},\frac{15 + B_y}{2})}[/tex]
Multiply through by 2
[tex]\mathbf{(48,48) = (18 + B_x,15 + B_y)}[/tex]
By comparison
[tex]\mathbf{18 + B_x = 48,\ 15 + B_y = 48 }[/tex]
So, we have:
[tex]\mathbf{B_x = 30,\ B_y = 33 }[/tex]
Hence, the coordinates of B are:
[tex]\mathbf{B = ( 30,33 )}[/tex]
Read more about midpoints at:
https://brainly.com/question/18068617
What is the measure of angles A, B and C in the given triangles?
Answer:
A = 103°; B = 77°; C = 46°
Step-by-step explanation:
A + 45° + 32° = 180°
A + 77° = 180°
A = 180° - 77°
A = 103°
A + B = 180°
103° + B = 180°
B = 180° - 103°
B = 77°
B + C + 57° = 180°
77° + 57° + C = 180°
134° + C = 180°
C = 180° - 134°
C = 46°
I hope I've helped you.
John’s grocery bill totaled $200. After he used his coupons, the cash register showed the total bill as $20. Which statement is true?
Answer:
90% off
Step-by-step explanation:
Your question is incomplete.
If these are the statement.. The answer is below:
The grocery bill before the coupons were used was 10 times as much as the bill after the coupons were used.
The grocery bill after the coupons were used was 10 times as much as the bill before the coupons were used.
The grocery bill before the coupons were used was 100 times as much as the bill after the coupons were used.
The grocery bill after the coupons were used was 100 times as much as the bill before the coupons were used.
Answer:
The grocery bill before the coupons were used was 10 times as much as the bill after the coupons were used.
Step-by-step explanation:
The price after coupons were used is $20, and the price before was $200. $20 · 10 =$200
is y-4x=9 linear or not linear. if yes, write in standard form
Answer:
Yes it is linear. Standard Form: 4x - y = -9
Step-by-step explanation:
x+5y=-5 find x and y intercept
Answer:
x= (5,0) y= (0,1)
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
Answer:
A) 115°
Step-by-step explanation:
if PQ || RS then those two angles are supplementary
-2x + 4y -5 - 5x + 3y -9
Answer:
-7x + 7y - 14
Step-by-step explanation:
Does the table represent a proportional or a nonproportional linear relationship?
x 1 2 3 4 5
y 5 7 9 11 13
The table represents a linear relationship.
Answer please?
astrophysicist Neil deGrasse Tyson once commented somehow its ok for people to chuckle about not being good at math. Yet if I said I never learned to read they'd say I was an illiterate dolt he was referring to the notion that it has become socially acceptable for people to say they are bad at math but it is unacceptable to say they are bad at reading
Answer:
Step-by-step explanation:
`
What’s the answer ?
Answer:
a. y = 3^x
yep
ype
pey
Answer:
a
Step-by-step explanation:
plug the points into the equations
3¹=3
3²=9
3³=27
3⁴=81
3⁵=243
these are all true equations, so the answer is a
Simone wrote that 2 + 5.8 = 6.
Use the drop-down menus to explain why 6 is incorrect.
Answer:
Greater than 2+5
Wages, income tax, and money management
Answer:
the answer is a
Step-by-step explanation:
the reason its a is because it just it
nine less than six times a number is at most 33
How to calculate the area of an ellipse by using integration?
An ellipse has the general equation
(x/a)² + (y/b)² = 1
(actually, this is an ellipse whose semimajor and -minor axes are parallel to the x- and y-axes, but one can rotate any ellipse so that it has the same configuration, and the area remains constant)
Convert to a kind of rescaled polar coordinates, using
x = a r cos(t)
y = b r sin(t)
Then the interior of such an ellipse is the set
E = {(r, t) : 0 ≤ r ≤ 1 and 0 ≤ t ≤ 2π}
The area of E is then given by the integral
[tex]\displaystyle \iint_E dA[/tex]
Compute the Jacobian determinant for this change of coordinates. The Jacobian is
[tex]J = \begin{bmatrix}x_r & x_t \\ y_r & y_t\end{bmatrix} = \begin{bmatrix}a \cos(t) & -a r \sin(t) \\ b \sin(t) & b r \cos(t)\end{bmatrix}[/tex]
Then we have Jacobian determinant
|det(J)| = |a b r cos²(t) + a b r sin²(t)| = |a b r| = |a b| r
since r ≥ 0.
The area of E is then
[tex]\displaystyle \iint_E dA = \iint_E |ab| r \, dr \, dt[/tex]
[tex]\displaystyle \iint_E dA = \int_0^{2\pi} \int_0^1 |ab| r \, dr \, dt[/tex]
[tex]\displaystyle \iint_E dA = 2\pi |ab| \int_0^1 r \, dr[/tex]
[tex]\displaystyle \iint_E dA = \boxed{\pi |ab|}[/tex]
A right triangle \mathrm{ABC}ABC is shown.
What is cos AA?
Answer:
90
Step-by-step explanation:
Y = 2X
- 6X + 3y = 6
w(x)=3x-1; FInd w(-2)
Answer:
It is 23
Step-by-step
23 becaauae if you use x and -2 its bets 23
I need help with surface area
Answer:
904.8 m²
Step-by-step explanation:
needed formulas:
surface of a circle: πr²
circumference of a circle: 2πr
The top and bottom are circles with radius 9, and surface π9² = 81π m²
The side is a rectangle of 2·π·9·7 long, so that is 126π m²
Brings the total to 81π + 81π + 126π = 288π ≈ 904.8 m²
Factor the GCF:
102−5
One number is one more than another. Their sum is nine. Find both numbers.
Answer:
4 and 5
Step-by-step explanation:
Let's make an equation to solve. Let's call "one number" x. Another number is 1 more than x, so now we have x + 1. x plus x + 1 is equal to 9... and this gives us our equation:
x + (x + 1) = 9
We can now simplify by adding like terms together:
2x + 1 = 9
Now, let's take away 1 from both sides:
2x = 8
We can finally divide both sides by 2 to isolate x:
x = 4
One of our numbers is 4. Our other number is one more than 4, and 4 + 1 = 5. So our numbers are 4 and 5.
Hopefully this was helpful! If you need more help, let me know.
An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.0001211 describes the amount of carbon-14 present after t years. Use the mode
to determine how many grams of carbon-14 will be present in 9088 years
The amount of carbon-14 present in 9088 years will be approximately
grams.
The mass of Carbon-14 left according to the decay model after 9088 years will be; 5.3229 grams
The decay model is given as;
A = 16 e^ (-0.0001211t)Therefore, after 9088 years; in which case; t = 9088.
The amount of Carbon-14 that will be present is;
A = 16e^ (-0.0001211 × 9088)A = 16e^(-1.1005)A = 5.3229gramsRead more:
https://brainly.com/question/24305651
What is the slope of the line through (-1,4) and (1,-2)? A.-3 B.3 C.-1/3 D.1/3
Answer:
Slope = - 3
Step-by-step explanation:
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
( x1, y1 ) = ( - 1, 4 )
Here,
x1 = - 1
y1 = 4
( x2, y2 ) = ( 1, - 2 )
Here,
x2 = 1
y2 = - 2
Slope = ( - 2 - 4 ) / ( 1 - ( - 1 ) )
= - 6 / ( 1 + 1
= - 6 / 2
Slope = - 3
Therefore,
The slope of the line through ( - 1, 4 ) and ( 1, - 2 )
is - 3.
students are encouraged to exercise at least 2 1/2 hours a week. Hector exercises about the same number of hours each week. during a 4 week period he exercises 11 1/2 hours. how many hours does he exercise per week?
Answer:
On average, he exercises 2.875 hours per week.
Step-by-step explanation:
Just do 11 1/2 (11.5) divided by 4, and you get your answer of 2.875 hours per week.
Whats -5/3+ 2 1/3 please help i dont wanna failPLWASEEE
Step-by-step explanation:
[tex] = - \frac{5}{3} + 2 \frac{1}{3} [/tex]
[tex] = - \frac{5}{3} + \frac{7}{3} [/tex]
[tex] = \frac{2}{3} [/tex]
Answer:
[tex] \sf \frac{2}{3} [/tex]
Step-by-step explanation:
[tex] \sf = - \frac{5}{3} + 2 \frac{1}{3} [/tex]
[tex] \sf = 2 \frac{1}{3} - \frac{5}{3} [/tex]
[tex] \sf = \frac{7}{3} - \frac{5}{3} [/tex]
[tex] \sf = \frac{7 - 5}{3} [/tex]
[tex] \sf = \frac{2}{3} [/tex]
subtract X from 3X minus one
The population of a nearby town dropped from 7,500 to 6,000 in one year.
What was the percent decrease in the town's population that year?
Group of answer choices
Answer:Possible Answers: 13.2%. 5.7%. 15.0%.
Step-by-step explanation:
What value is equivalent to 2 × 3 + 4 − 6^2?
A) -26
B) -22
C) -2
D) 10
Answer:
-26
Step-by-step explanation:
2 × 3 + 4 − 6^2
PEMDAS
exponents are first in this equation
2 × 3 + 4 − 36
Then multiply
6 +4 -36
Then add and subtract from left to right
10-36
-26
Answer:
A) -26
Step-by-step explanation:
2 * 3 + 4 - 6²
Use PEMDAS to figure out the equation.
Pass parenthesis since there are none in the equation.
Evaluate all of the exponents.
2 * 3 + 4 - 36
Evaluate all of the multiplication in the equation.
6 + 4 - 36
Pass division since there isn't any in the equation.
Evaluate all of the addition in the equation.
10 - 36
Evaluate all of the subtraction in the equation.
-26.
When 1,500 flowers are divided equally among 40 baskets, there are 20 flowers
in each basket
in half of the baskets
left over
Answer:
in half of the baskets
Step-by-step explanation:
half of 40 baskets is 20 baskets
What is the common ratio?
512, 256, 128, 64
Answer:
The constant factor between consecutive terms of a geometric sequence is called the common ratio. Example: To find the common ratio find the ratio between a term and the term preceding it. r=42=2. 2 is the common ratio.
Please help me solve this ASAP!
Step-by-step explanation:
[tex] \frac{4.8}{1 \frac{7}{9} } = (1.2b) \div 6 \frac{2}{3} [/tex]
[tex] \frac{ \frac{48}{10} }{ \frac{16}{9} } = \frac{12b}{10} \div \frac{20}{3} [/tex]
[tex] \frac{48 \times 9}{10 \times 16} = \frac{12b}{10} \times \frac{3}{20} [/tex]
[tex] \frac{432}{160} = \frac{36b}{200} [/tex]
[tex]432 \times 200 = 160 \times 36b[/tex]
[tex]86400 = 5760b[/tex]
[tex]b = \frac{86400}{5760} [/tex]
[tex]b = 15[/tex]
HELP YALL PLEASE! I WILL MARK BRAINIEST TO WHOEVER IS CORRECT!!
Answer:
Line 1: Is parallel Line 2: Is Neither Line 3: Is parallel
