Point A is (5, 7), Point B is (x, y). The midpoint of AB is (17, -4). What is the value of B?
The coordinates of point B will be ( 29,-15).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that point A is (5, 7), point B is (x, y). The midpoint of AB is (17, -4).
The coordinate of the point B is calculated as,
17 = ( 5 + x ) / 2
5 + x = 34
x = 34 - 5
x = 29
( 7 + y ) / 2 = -4
7 + y = -8
y = -8 - 7
y = -15
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For Exercises 19-24, a, b, c, and d are distinct lines in the same plane. For each combination of relationships, tell how a and d relate. Justify your answer.
I don't understand the symbols
Answer:
a is parallel to d
a and d are parallel, and are perpendicular to c and d (those are parallel to each other)
RESULT
They are parallel
Step-by-step explanation:
The distinct lines in the exercise are either parallel or perpendicular.
19. a and d are parallel lines20. a and d are perpendicular lines21. a and d are parallel lines22. a and d are perpendicular lines23. a and d are parallel lines24. a and d are parallel linesIn geometry, || means parallel lines, while [tex]\mathbf{\perp }[/tex] means perpendicular lines
From the complete question (see attachment), we have the following highlights
Question 19.
Lines (a) to (d) are parallel.
So, lines (a) and (d) are parallel lines
Question 20.
Lines (a) to (c) are parallel.
But line (c) is perpendicular to line (d)
So, lines (a) and (d) are perpendicular lines
Question 21.
Lines (a) and (b) are parallel.
Lines (b) and (c) are perpendicular; so, lines (a) and (c) are perpendicular lines
Lines (c) and (d) are perpendicular; so, lines (a) and (d) are parallel lines
Question 22.
Lines (a) and (b) are perpendicular.
Lines (b) to (d) are parallel; so, lines (a) and (d) are perpendicular lines
Question 23.
Lines (a) and (b) are parallel.
Lines (b) to (d) are perpendicular; so, lines (a) and (d) are parallel lines
Question 24.
Lines (a) and (b) are perpendicular.
Lines (b) and (c) are parallel; so, lines (a) and (c) are perpendicular lines
Lines (c) and (d) are perpendicular; so, lines (a) and (d) are parallel lines
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What is the equation for the situation? [The number of pizza meals sold by the concession stand was three times the number of hot dog meals. If the pizza meal cost $4, the hot dog meal cost $2, and the total revenue from the meals was $658, how many of each meal was sold?] 1 point
Answer:
164.5
Step-by-step explanation: just sat it was mental math
Barack Obama High School raised $42,350 for travel costs to travel to the 2021 inauguration in Washington D.C. The bus costs $11,500 to rent for the week, including fuel. If the cost per student for food and lodging is $750 for the week, how many students can attend the inauguration? Part A: Define a variable and write algebraic equation for the situation. (5)Part B: How many students can attend the inauguration.
Answer:
Approximately 41 students can attend the inauguration
Step-by-step explanation:
Let x denotes number of students who can attend the inauguration.
Cost per student for food and lodging = $ 750
So,
Total cost = $ 750 x
Also,
Amount of rent = $ 11,500
As Barack Obama High School raised $42,350 for travel costs to travel to the 2021 inauguration in Washington D.C,
[tex]750x+11,500=42,350\\750x=42,350-11,500\\750x=30,850\\x=\frac{30,850}{750}\\ x=41.1[/tex]
So, approximately 41 students can attend the inauguration
Use the diagram at the right for #1 – 2.
1. Determine if the given points are collinear or not collinear.
points E, H, and ]
b.
points F, ), and E
points G, J, and E
points G, H, and )
Answer:
a
Step-by-step explanation:
Answer:
your answer is FandE happy to help :))))
LaToya is buying corn chips and soda. She has 4 bags of corn chips and 5 bottles of soda in her shopping cart. The marginal utility of the fourth bag of corn chips is 10, and the marginal utility of the fifth bottle of soda is also 10. Is LaToya maximizing utility? A. No. She is maximizing marginal utility but not total utility. B. This cannot be determined because we do not know the price of corn chips and soda and whether or not she fully spent her budget allocated to corn chips and soda. C. Yes. She is maximizing utility. D. No. She is not maximizing marginal utility.
Answer:
Option B: This cannot be determined because we do not know the price of corn chips and soda and whether or not she fully spent her budget allocated to corn chips and soda.
Step-by-step explanation:
Maximization of utility of the goods given is defined as the satisfaction or benefit La Toya derived based on the amount of money she spent on the corn chips and bottles of soda.
Now, for us to know if she is maximizing utility, we need to know the price of the goods and also if she spent all the money she allocated for the corn chips and bottle of soda. This would in turn help us to know how she spent her money and if the expenses she made was most beneficial to her.
Thus, the correct answer is Option B
solve x² =-169
thank you so much to whoever hlps me
Answer:
yor final answer is going to be 59
Step-by-step explanation:
59
Answer:
13
Step-by-step explanation:
What angles go with the angle pairs? Just a simple checklist please :).
Answer:
Here is the answer
Step-by-step explanation:
∠1 and ∠6 are adjacent because they share the same vertex and the same common side.
∠2 and ∠5 are vertical angles since they have pairs on opposite sides of the angle.
∠3 and ∠6 have none of the above.
∠5 and ∠3 are a linear pair because the angles are opposite of each other.
Need help, Write the equation of the line that passes through the points (-2, -3) and (8,3) first in point-slope form, and then in slope-intercept form.
Answer:
the slope intercept formula would be: y=3/4x-3. Hope this helps!
Step-by-step explanation:
LOTS OF POINTS!!
hi can you help me with the question? :)
please explain
Answer:
See below.
Step-by-step explanation:
The cubic root of 49 is 3.66, so the dot should go between 3 and 4, a little closer to 4 than to 3.
She thought the problem was square root of 49 which is 7 and placed a dot on the 7.
What was Mike's average rate of descent over his last three hours?
Answer:
The average rate of descent over the last 3 hours is 1000 ft/h.
Step-by-step explanation:
Rate of Change
It's usually referred to as to the variation that one magnitude has in reference to another. The reference magnitude can be time t. The rate of change is calculated as the slope of the curve that represents the function.
The image shows the variation of Mike's height above sea level in feet with time in hours. We need to calculate the rate of change in the last three hours (from 7 to 10).
The rate of change can be calculated with the slope of the line, which formula is:
[tex]\displaystyle m=\frac{h_2-h_1}{t_2-t_1}[/tex]
Let's pick two points (7,4000) (10,1000):
[tex]\displaystyle m=\frac{1000-4000}{10-7}=\frac{-3000}{3}=-1000[/tex]
[tex]m=-1000\ ft/h[/tex]
Note the rate of change is negative, which means the height is decreasing.
The average rate of descent over the last 3 hours is 1000 ft/h.
The power, P, of a gear varies directly with its radius, r. If the power of a certain gear is 550 and the radius for that gear is 11 find the radius (r) of a gear whose power is 715. Identify the constant of variation, direct variation equation, and radius (r).
Answer/Step-by-step explanation:
Given that P varies directly with r, the equation for this direct variation would be:
[tex] P = rk [/tex],
Where,
P = power
r = radius
k = constant of variation.
If P = 550, when r = 11, constant of this direct variation is calculated as follows:
Plug in the values of P and r into the variation equation to find k.
[tex] 550 = 11k [/tex]
Divide both sides by 11
[tex] \frac{550}{11} = {11k}{11} [/tex]
[tex] 50 = k [/tex]
Constant of variation = 50
To find the radius (r) of the gear whose power (P) = 715, substitute P = 715 and k = 50 in the variation equation.
[tex] P = rk [/tex]
[tex] 715 = r*50 [/tex]
[tex] \frac{715}{50} = \frac{50r}{50} [/tex]
[tex] \frac{715}{50} = \frac{50r}{50} [/tex]
[tex] 14.3 = r [/tex]
r = 14.3
Find the difference: 2x + 10 - 3 / x+4
Answer:
the answer is b edge 2022
Step-by-step explanation:
passes through (4 -7) and has vertex (1 -6) in vertex form. I need it quickly, please!!!
Wait a minute - sorry I misunderstood the question lol
The equation of the parabola is y = -1/9(x- 1)^2 - 6.
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
y=a(x-h)^2 + k
then it is called to be in vertex form.
It is given that the equation passes through (4 -7) and has vertex (1 -6) in vertex form will be;
y=a(x-h)^2 + k
Since the vertex is at (1, -6), we can write the equation as
y = a(x- 1)^2 - 6
Also, since the parabola passes through (4, -7), we can find the value for a,
-7 = a(4 - 1)^2 - 6
-7 = 9a - 6
a = -1/9
Hence, the equation of the parabola is
y = -1/9(x- 1)^2 - 6
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Y = 4/5x -3 perpendicular
Answer:
Y=4/5x-3
3=4/5x-y
Step-by-step explanation:
5 − 2 = 25 plz help fast 10 points
Answer:
5-2x=25
5-25=2x
-20=2x
x=-10
Step-by-step explanation:
Answer:
5 - 2 = 3
Step-by-step explanation:
Start with 5. Take away 2 from 5, and you get 3.
Hope this helped, if not, don’t hate.
One gallon is equal to about 3.7854 liters.
What is this amount rounded to the nearest thousandth?
Sally is buying a hearing aid that costs $5,000. her insurance pays $2,900 of the cost. Sally will get a loan to pay the remaining amount. The loan interest is free, if Sally pays a minimum of $75 per month and pays off the loan in a year. To be financially responsible, Sally wants to pay off the loan in one year. What is the minimum monthly payment Sally can make each month to pay of the loan in equal payments?
Answer:
$ 175
Step-by-step explanation:
Create an equation:
5000 = ax + 2900
a > 75
x = 12 months
5000 = 12a + 2900
12a = 2100
a = 175
If t^3=6427, what is the value of t?
2Answer:
r22
Step-by-step explanation:
brainliest for correct answer please help me
Answer:
b
Step-by-step explanation:
Complete the table below using the Midpoint and Distance Formulas.
Given: M is the midpoint of LaTeX: \overline{AB}A B ¯ and A is the midpoint of LaTeX: \overline{MB_1}M B 1 ¯
Diagonal Line Segment
Coordinates of A (-12,4)
Coordinates of M (12,11)
Coordinates of B (
36
,
18
)
Coordinates of B1 (
36
,
18
)
Length of AB
50
Length of AB1
12.5
Answer:a
Step-by-step explanation:
Five times the sum of a number and 3 is 35. Find the number.
Answer:
4
Step-by-step explanation:
Let the required number be x.
Since, Five times the sum of a number and 3 is 35.
[tex]5(x + 3) = 35 \\ \\ x + 3 = \frac{35}{5} \\ \\ x + 3 = 7 \\ \\ x = 7 - 3 \\ \\ x = 4[/tex]
Lines a and b are parallel. What is the measure of ∠5 if ∠1 measures 116°?
please help me in this page
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and need to ask more questions
here is your answer
The measure of ∠5 is 64°.
In other words: m∠5 = 64°.
Which of the following is an example of control ?
A) Performing five different studies of the same drug
B) Repeating a study 10 times
C) Studying the effects of both therapy and no therapy on students
D) Assigning fest subjects to test groups arbitrarily
Answer:
C) Studying the effects of both therapy and no therapy on students
Step-by-step explanation:
Answer:
it’s d just did the quiz the above is no smart
Step-by-step explanation:
If x – 10 = 5x - 10, what is the value of x?
Answer:
[tex]\boxed {x = 0}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x - 10 = 5x - 10[/tex]
-Take [tex]5x[/tex] and subtract it from [tex]x[/tex]:
[tex]x - 10 - 5x = 5x - 5x - 10[/tex]
[tex]-4x - 10 = -10[/tex]
-Add [tex]10[/tex] to both sides:
[tex]-4x - 10 + 10 = -10 + 10[/tex]
[tex]4x = 0[/tex]
-Since [tex]4x[/tex] does not equal to [tex]0[/tex], then [tex]x[/tex] must equal to [tex]0[/tex]:
[tex]\boxed {x = 0}[/tex]
Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation. ( 0 , 445 ) ( 0.50 , 435 ) ( 233 , 21 ) ( 118 , 209 ) ( 172 , 101 )
Answer:
Correct options are:
a) ( 0 , 445 )
d) ( 118 , 209 )
e) ( 172 , 101 )
Step-by-step explanation:
A nickel is worth 5 cents $0.05
A dime is worth 10 cents = $0.10
The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.
a) ( 0 , 445 )
b) ( 0.50 , 435 )
c) ( 233 , 21 )
d)( 118 , 209 )
e)( 172 , 101 )
Verifying the options
a) ( 0 , 445 )
0.10d+0.05n=22.25.
= 0.10(0) + 0.05(445) = 22.25
= 22.25 = 22.25
Options a) is correct
b) ( 0.50 , 435 )
0.10d+0.05n=22.25.
= 0.10(0.50) + 0.05(435) = 22.25
= 21.8 ≠ 22.25
Option b is incorrect
c) ( 233 , 21 )
0.10d+0.05n=22.25.
= 0.10(233) + 0.05(21) = 22.25
= 24.35 ≠22.25
Option c is incorrect
d) ( 118 , 209 )
0.10d+0.05n=22.25.
= 0.10(118) + 0.05(209) = 22.25
= 22.25 = 22.25
Option d) is correct
e) ( 172 , 101 )
0.10d+0.05n=22.25.
= 0.10(172) + 0.05(101) = 22.25
= 22.25 = 22.25
Option e) is correct
Julie and Carlos each generated a real number equivalent to
64
Which expression could NOT belong to Julie or Carlos?
ОА
15.8-2
B
8-2.22
С
4-4.2²
D
2-10.24
Explain how to get this answer 2m+3p+4m-p
Answer:
6m+2p
Step-by-step explanation:
Simplify the expression
Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. Measures 80meters by 120meters If Laura wants to know how much Meyers she jogged in all, which measurement should she find? A- perimeter B-Length C-Area
Answer:
PERIMETERStep-by-step explanation:
If Laura wants to know how much Meyers she jogged in all, then she will need to find the perimeter of the entire soccer field.
Perimeter is a distance along the edges of a geometric shape.
Since the soccer field is rectangular in nature, the perimeter is calculated as;
P = 2(L+W)
L is the length
W is the width
Given
Length = 80meters
Width = 120metres
P = 2(80+120)
P = 2(200)
P = 400m
The total distance she covered is 400m
Hence the measurement she should find is Perimeter.
.1% as a decimal and fraction
Percent Decimal Fraction
1% 0.01 1/100
Hope this helps