Answer:
The coordinates of point B are: (29,-15)
Option D is correct option.
Step-by-step explanation:
Endpoint of diameter of a circle = A(5,7)
Centre of circle = P(17,-4)
We need to find coordinates of other endpoint of diameter of a circle i.e. B
The formula used is: [tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
We are given coordinates of centre (midpoint) P(17,-4)
and A (5,7) x₁=5, y₁=7
We need to find Point B i.e. (x₂,y₂)
Putting values and finding point B
[tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(17,-4)=(\frac{5+x_2}{2}, \frac{7+y_2}{2})\\We\:can\:write:\\17=\frac{5+x_2}{2}\:and\: -4=\frac{7+y_2}{2}\\17\times 2=5+x_2\:and\: -4\times 2=7+y_2\\34=5+x_2\:and\: -8=7+y_2\\34-5=x_2\:and\: -8-7=y_2\\x_2=29\:and\: y_2=-15[/tex]
so, we get: x₂ = 29 ,y₂ = -15
The coordinates of point B are: (29,-15)
Option D is correct option.
Match each graph to its equation below.
The correct matching will be given as A-1, B-3, and C-2.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The general equation is given below.
y = ax²
If the value of a is negative then downward parabola and if the value of a is positive then upward parabola.
If the value of a is less than one then parabola shrinks and if the value of a is more than one then parabola spreads.
Graph A is upward and shrinks parabolas so the equation will be y = x⁸.
Graph B is downward parabolas so the equation will be y = -3x⁸.
Graph C is upward and wider parabolas so the equation will be y = 0.25x⁸.
Then the correct matching will be given as A-1, B-3, and C-2.
More about the parabola link is given below.
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Write the inequality this number line represents.
Answer:
[tex]x\leq 2[/tex]
Step-by-step explanation:
Since the bot is filled in it is going to include [tex]\leq[/tex] or [tex]\geq[/tex]
Since the arrow is pointing to numbers below 2, 2 must be bigger. This is the answer:
[tex]x\leq 2[/tex]
roberts mom gave him $9 to buy groceries. she told him to buy a loaf of bread and as many quarts of milk as he could with the money she gave him. a loaf of bread costs $2.20 and a quart of milk costs 1.20. if x represents the number of quarts of milk robert buys, which inequality represents this situation
Answer:
he can buy 5 quarts of milk
Step-by-step explanation:
Graph the solutions of the linear inequality 3x + 3y > 6 .
look at this please it would really help
please help, precalculus will report false answers
[tex]f(x) = \frac{ {2}^{x} }{x} [/tex]
Consider each terms for both numerator and denominator.Numerator
[tex]y = {2}^{x} [/tex]
The function family is exponential when separating the denominator out of numerator.
Exponential family have the equation of
[tex]y = {a}^{x} [/tex]
Denominator
[tex]y = x[/tex]
The function family is linear when separating the numerator. The equation for linear family is only
[tex]y = mx + b[/tex]
We combine both exponential and linear by dividing the exponential with linear.
AnswerWe divide the exponential function by a linear function.A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the king give to each of his sons here is zeke solution andy got 1/2 bill got 1/5 carl got 1/5 dirk got 1/8 and evan got 1/8 identify zeke's two errors correct them and explain why your answers are correct
Picture relating to the question is attached
Answer:
Andy = 1/2
Bill = 1/8
Carl = 1/8
Evan = 1/8
Dirk = 1/8
Step-by-step explanation:
According to the picture depicting the sharing of the land :
Fraction of the total rectangular plot = 1
Andy got a portion of the whole divided into 2 = 1/2
Fraction left after Andy's portion:
1 - 1/2 = 1/2
1/2 of the fraction left was divided equally between Dirk and Evan
Hence ;
1/2 of 1/2 = 1/2 * 1/2 = 1/4
Dirk's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
Evan's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
Fraction of land left :
1 - (1/2 + 1/8 + 1/8) = 1 - 3/4 = 1/4
1/4 was divided equally into 2 for Bill and Carl:
Bill's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
Carl's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
What happens to a figure that is dilated by a factor of ½ .
Answer:
i really dont know
Step-by-step explanation:
She ran 13.04 seconds per 100 meters, how fast was she running in meters per hour?
Answer:
27607.3619632 meters per hour
Step-by-step explanation:
She was running 7.6 m/s 3600 seconds in a hour
3600x7.6=27607.36
I REALLYYYYY NEED HELP PLSSSS NO DUM ANSWERS I SERIOUSLY NEED HELP
Answer:
First blank: 869x
Second blank: 17,575
D
Step-by-step explanation:
Men (f): 389x + 7500
Women (g): 480x + 10075
Equation: (f + g)
Equation: 389x + 7500 + 480x + 10075
Combine like terms
869x + 17575
Equation: 869x + 17,575
For lawn mowing, Jeremy charges a flat fee of $5 plus $10 per hour. Write an equation for cost and hours of lawn mowing. What is the slope?
Answer:
y = 10x+5
Slope is 10 dollars per hour
Step-by-step explanation:
y = mx+b where m is the slope and b is the y-intercept or flat fee, here.
b = 5
10 per hour means m = 10
It's due today pls help me out
Answer: 6(5w+2)
Step-by-step explanation: Factor 30w+12
. A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole
Answer:
The flagpole is 60'(60 inches) tall
Step-by-step explanation:
A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole
The formula is given as:
Height of percy/ Shadow of percy = Height of flagpole/Shadow of flagpole
Height of percy = 5 inches
Shadow of percy = 3 inches
Height of flagpole = ??
Shadow of flagpole =36 inches
= 5/3 = x/36
Cross Multiply
3 × x = 36 × 5
3x = 36 × 5
x = 36 × 5/3
x = 60 inches
Therefore, the flagpole is 60'(60 inches) tall.
plz help meee 2 more problems and I am done
Answer:
Step-by-step explanation:
Figure 1,
EA and EB are the opposite rays.
EC bisects angle FEG.
a). m∠FEC = [tex]\frac{1}{2}(m\angle FEG)[/tex]
(2x + 6) = [tex]\frac{1}{2}(40)[/tex]
2x + 6 = 20
2x = 14
x = 7
b). ED⊥AB
Therefore, m∠AED = 90°
m∠AED = 11y + 13 = 90°
11y = 90 - 13
11y = 77
y = 7
Figure 2,
NC bisects ∠WNB,
Therefore, ∠WNC ≅ ∠CNB
m∠WNC = m∠CNB
3v - 4 = 2v + 6
3v - 2v = 4 + 6
v = 10
Therefore, m∠WNC = x = (3v - 4)
x = 3(10) - 10
= 30 - 10
x = 20
12. Which explains whether the relation shown is a function?
A) The relation is a function since it is continuous.
B) The relation is not a function since it is not symmetrical
C) The relation is a function since it passes the vertical line test
D) The relation is not a function since it does not pass the horizontal line test.
Answer:
C
Step-by-step explanation:
the vertical line test is when you check to see if a point of the graph is passed twice. in this case it does pass the vertical line test. therefore, it is a function.
what is the equation of the line given the table
Answer:
y=3x-1
Step-by-step explanation:
Measure of angle CXF
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years?
Answer:
£1430
Step-by-step explanation:
Given data
Principal =£1100
Rate= 5%
time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=1100(1+0.05*6)
A=1100(1+0.3)
A=1100(1.3)
A=1100*1.3
A=£1430
Hence the balance is £1430
Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes, and 20 pages in 30 minutes. I’d this a proportional relationship? What does it represent? Write an equation to represent this situation.
Answer:
Y= 1.5x
Step-by-step explanation:
What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)
I hope this will help
90 Points! Select the correct answer. (Screenshot attached)
[tex]\\ \rm\Rrightarrow \sqrt[3]{686x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[3]{343(2)x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[3]{7^3(2)x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow 7xy^2\sqrt[3]{2xy^2}[/tex]
Option C
how do you do this , i need help!!
Answer:
i dont know
Step-by-step explanation:
Answer:
112º
Step-by-step explanation:
(you may need a calculator for this)
first let's start with what we know, we know a triangle has 180º. We also know a line has 180º. if you know the line has 180º, then ? + 126 º = 180º. so if you subtract 126 from 180, you get 54. now lets look at the triangle, we know the triangle has 180º in total. we already know one angle is 58º, and we just figured out the other is 54º. if you do 54+58, you get 112. remember, the triangle has 180 degrees in total, and two of them equal 112º, so 180 - 112 is 68. almost there! now we have to do the line trick again, because on the line, 68 + x = 180. 180- 68 is 112, so the answer is 112º. Hope this helps :D
I need help with these 2.
Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 25 square kilometers, what is the population of the region?
Answer:
1250 people
Step-by-step explanation:
Population density = total population / land area
Population density = 50
total population = x
land area 25
50 = x / 25
x = total population = 50 x 25 = 1250 people
25 members, Each student must pay an entry fee of $7.25 for a helmet fee. the total cost for the roller skate trip is $443.75. What is the entrance fee for one student?
Answer:
I believe the answer is $10.1 each
Step-by-step explanation:
Well if u multiply 7.25 by 25 you get 181.25 so you can subtract that by 443.75 you will get 252.5 after that divide it by 25 and u get 10.1.
I hope it help's
can someone pls help!!!!
what expression is equivalent to h + 5 + 3 - 2h
The equivalent expression of h + 5 + 3 - 2h is -h+8.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
We have the expression:
h + 5 + 3 - 2h
To find the equivalent expression:
We simplify the expression,
h + 5 + 3 - 2h
= h -2h +5+ 3
= -h +8
-h+8 is the equivalent expression of h + 5 + 3 - 2h.
Therefore, -h +8 is the equivalent expression.
To learn more about the equivalent expression;
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A store offers four different brands of a product. It decides to eliminate one
brand based on the likelihood a customer will return that brand. The table
shows the number of items of each brand that were returned over the past
year and the total sold.
Returns
Total sold
Brand A
28
594
Brand B
15
426
Brand C
27
664
Brand D
25
313
Which brand should the store consider eliminating?
I
Answer:
28/594 X 100= 4.7 %
15/426 X 100 =3.5%
27/664 X 100=4.1%
25/313 X 100=8%
they should eliminate brand d
Solve.
12.25 = 2.5 =
4.9
4.5
6.5
0.49
solve the square root of 2x-5=x-4
Ap ex: What is the solution to this system of equation?
y = x - 4 y = -0.5x + 8
a. (4,2)
b. (8,4)
c. (4,8)
d. (2,4)
Answer:
x = 8, y = 4
Step-by-step explanation:
y = x - 4
y = -0.5x + 8
y = y
x - 4 = -0.5x + 8
x + 0.5x = 8 + 4
1.5x = 12
x = 12/1.5
x = 8
To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)
y = (8) - 4
y = 4
OR
y = -0.5(8) + 8
y = -4 + 8
y = 4