Answer:
Solution given:
Let there be a point P(x, y) equidistant from
A(-3, 2) and B(0,4),
so PA = PB,
[tex]\sqrt{(x+3)²+(y-2)²}=\sqrt{(x-0)²+(y-4)²}[/tex]
squaring both side
[tex](\sqrt{(x+3)²+(y-2)²})^{2}=(\sqrt{(x-0)²+(y-4)²})²[/tex]
x²+6x+9+y²-4y+4=x²+y²-8y+16
x²+6x+y²-4y-x²-y²+8y=16-4-9
6x-4y+8y=3
6x-4y=3 is a required locus
Actually:
A locus is a curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.
Which statement describes the relationship between x and y?
As x increases, y decreases.
As x increases, y increases.
As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answer:
as x increases, y increases
Step-by-step explanation:
Answer:
B. as x increases, y increases
Step-by-step explanation:
how many 20p coins in £4
Answer two 20p coins make 40p
Step-by-step explanation:
Answer:
20 number of 20p makes £4.
Step-by-step explanation:
Let the number of 20p be x
Therefore,
[tex]x \times 0.20 = 4\\\\x = \frac{4}{0.20} = \frac{4 \times 100}{ 20} = 4 \times 5 = 20[/tex]
An angel is formed by A: Parallel lines B: any ray and any line C: Two rays that shares the same end point D: any two rays
plz help me
Answer:
c
Step-by-step explanation:
Find P(5) given P(x) = 4 - 1
Answer:6
Step-by-step explanation:
sorry if im wrong
Find the equation of the line through point (2,2) and parallel to y=x+4. Use a forward slash (i.e.”/“) for fractions (e.g. 1/2 for
Answer:
The equation of the line is, y = x
Step-by-step explanation:
The constraints of the required linear equation are;
The point through which the line passes = (2, 2)
The line to which the required line is parallel = y = x + 4
Two lines are parallel if they have the same slope, therefore, we have;
The slope of the line, y = x + 4 is m = 1
Therefore, the slope of the required line = 1
The equation of the required lime in point and slope form becomes;
y - 2 = 1 × (x - 2)
∴ y = x - 2 + 2 = x
The equation of the required line is therefore, y = x
You bought 4 boxes of facial tissue for $3.79. which is the better buy than the one you made?
What is the product?
(7x^2y^3)(3x^5y^8)
10x^7+y^11
10X^10y^24
21x^7y^11
21x^10y^24
Answer:
21x^7y^11.
Step-by-step explanation:
:D
Help! What is the equation of the line shown in the graph?
Answer:
y = -x -2
Step-by-step explanation:
Slope = -1
y intercept is -2
Slope = [tex]\frac{-4-1}{2-(-3) }[/tex] = [tex]\frac{-5}{5}[/tex] = -1
If
R = (5+T)P/3
then what is p?
Answer:
Step-by-step explanation:
R = (5+T)P/3
3R = (5+T)P
3R/ (5+T) = P
[tex]P = \frac{3R}{(5+T) }[/tex]
The metric system has several advantages that include all of the following except _____.
only need to move the decimal point for conversions
prefixes are the same throughout
based on the numeral ten
only 10 base units to learn
Answer:
Only 10 base units to learn
Step-by-step explanation:
The metric system is a decimal based system developed to be universally acceptable by making use of base units from obtained from nature and the use of prefixes for multiples and submultiples of the base units, decimal ratios, which allows easy representation of quantities, as well as having a coherent structure of base and derived units which are obtained from the base units
During conversion in the metric system, which is decimal based, it is only required to move the decimal point
The prefixes which are used to specify multiples and submultiples are the same through out
The decimal system is based on the powers of ten
The number of base units to learn are 7 including; 1. Meter (m), 2. Kilogram (kg), 3. Second (s), 4. Ampere (A), 5. Kelvin (k), 6. Candela (cd), and 7. mole (mol)
Therefore the metric system has several advantages that include all of the following except; Only 10 base units to learn
Find the measure of the missing angle using the exterior angle sum theorm
Answer:
160=130+x
x=160-130
x=30
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, What will her account balance be then?\
answer pls
Answer: $15
Step-by-step explanation:
-$50 + $75 = $15
1) Give 5 examples of a difference of two perfect squares
2) Give the factors of your examples
3) What do you call the factors of a difference of two perfect squares?
please help me
ᴀɴsᴡᴇʀ:
1.Example, x²-25 can be factored as (x+5)(x-5).
2.This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
3.When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs!
☞︎︎︎ᴄᴀʀʀʏ ᴏɴ ʟᴇᴀʀɴɪɴɢ☜︎︎︎
A rectangular living room has a perimeter of 30 meters. Its area is 50 square meters. What are the dimensions of the living room?
Answer:
The one of (L,b)= (5m, 10m) is the only correct answer.
Step-by-step explanation:
P= 2(L+b)
A= L×b
make b subject of formula in area we have;
b= A/L
in perimeter; p= 2(L +(A/L))
p= (L²+A)/L
pL= L²+A
L²-pL+A= 0
L²-30L+50=0
L²-25L-5L+50=0
L(L-25)-5(L-25)=0
(L-5)(L-25)= 0
L= 5 or 25m
substitute in A
50= 5b or 50= 25b
b= 10 or 2m
PLSSS help me solve this question
Answer:
(3,-5)
Step-by-step explanation:
The line y=-x is a positively sloped line that when reflected across changes all signs to their opposite counterpart. Positivee to negative, negative to positive.
Need help with these 3 problems!
Answer:
1. 25
2. 44
3. 9
Step-by-step explanation:
Answer:
25 students44 cents9 eggsStep-by-step explanation:
If there are 3 cookies for each student and 75 cookies in total, then the equation would be 75 ÷ 3. that equals 2588 total for 2 cans. Divide 88 by 2 for the unit price. That makes 44 cents. 45 eggs total, 5 layers. Divide 45 by 5. That makes 9 eggs per layer.what is the answer to this?
What is the product?
HELPPP
A. X=20, y=10
B. X=15, y=8
C. X=20, y=12
D. X=15, y=12
Answer:
Step-by-step explanation:
If this is a parallelogram, then opposite sides are congruent and opposite angles are congruent. That means that
2y + 8 = 3y - 4 and
3x + 25 = 5x - 5
We'll solve that first equation for y:
-y = -12 so
y = 12 Now onto x:
-2x = -30 so
x = 15
Choice d is the one you want.
Diego deposited \$ 10,000$10,000 for 44 years at a rate of 6\%6% simple interest. Find the amount of interest Diego earned after four years.
Answer:
$2,400
Step-by-step explanation:
Note: The correct years is 4 not 44
The Principal = $10,000
Time period = 4 years
Rate = 6 % p.a.
Simple Interest = Principal * Rate * Time
Simple Interest = $10,000 * 6% * 44
Simple Interest = $2,400
So, the amount of interest Diego earned after four years is $2,400
please help answer these!!!!
Jimmy’s family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature above 400C each month. His data contained -
14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13 and 8
1) Find the mean for his data set of days that had a temperature above 400C.
2) Find the median for his data set of days that had a temperature above 400C.
3) Find the mode for his data set of days that had a temperature above 400C.
4) If, instead, there are 5 more days per month that had a temperature above 400C, what will be the mean for the data?
5) If, instead, there are 2 more days per month that had a temperature above 400C, what will be the mode for the data?
Answer:
1) 11.75
2) 11.5
3) 11 and 14
4) 16.75
5) 13, and 16
Step-by-step explanation:
The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8
1) The mean, [tex]\overline x[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75
2) The data arranged in increasing order is presented as follows;
8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14
The count of he data points = 12
The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12 11)/2 = 11.5
The median = 11.5
3) The mode of the data set are 11 and 14
4) Where there are 5 more days per month that had a temperature above 40°C, we get;
The mean, [tex]\overline x_1[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = [tex]\overline x[/tex] + 5
5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;
8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2
10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16
Therefore, the mode are 13, and 16
Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins $2$ years younger than Lana. When the four sisters' ages are added together, the result is $45$. If the youngest sister is $n$ years old, what is $n$?
plz tell the answers in the correct order
Answer:
a) 120°
Step-by-step explanation:
i think this is the right answer
Il y a 5ans Thomas avait 5 fois l'âge de benoit aujourd'hui Thomas a 3 fois l âge de Benoît quel est l'âge de benoit
Répondre:
Benoit a 10 ans
Explication étape par étape :
Laisser :
Âge de Thomas = x
Benoit age = y
il y a 5 ans :
x - 5 = 5 (y - 5)
x - 5 = 5y - 25 - - (1)
Aujourd'hui :
x = 3y - - (2)
Mettez x = 3y dans (1)
3 ans - 5 = 5 ans - 25
Recueillir des termes similaires
3 ans - 5 ans = - 25 + 5
-2a = - 20
Diviser les deux côtés par - 2
y = 10
Can you please help me with this?/
Answer:
1.3 meters
Step-by-step explanation:
The question is: What is the position of Michael's hands relative to the surface of the water?
It seems like it is asking for the amount of space between Michael's hands, and the surface of the water.
His hands are 1.8 meters below his feet, and his feet are 0.5 meters above the water.
To solve: subtract
1.8-0.5
1.3
I hope this helps!
How many subsets can be formed from the set F?
Answer:
32
Step-by-step explanation:
I'm very confirm with my answer mark me as brainliest plsssss
What is the quotient of
Answer:
x^5+8x^4+17x^3-14x^2-84x-72
Step-by-step explanation:
Can someone help with problems fivethroughseven
Answer:
5) 15120
6) 11880
7) 336
Step-by-step explanation:
The formula for permutation where mPn is m!/(m-n)!
Applying this to question 5, we get 9!/4!, which is 15120.
For question 6, we get 12!/8!, which is 11880.
For question 7, we get 8!/5!, which is 336.
The first and last term of an A. P are 1 and 121 respectively. Find the number of terms in the A.P and the common difference between them if the sum of the term is 1281
Answer:
No.of terms=21
Common difference=6
Hello Freinds
Pls answer
1 micron is equal to ?
the right answer will be marked as brainlist! ✌
Answer:
Step-by-step explanation:
1 micron = 1 * [tex]10^{-3} \ milli meter = \frac{1}{1000} \ millemeter[/tex]
1 micron = 0.00003937 inches
Answer:
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