If a segment XZ joining two endpoints X[tex](x_1,y_1)[/tex] and Z[tex](x_2,y_2)[/tex] is divided by a point Y(x, y) externally in the ratio of m : n,
Coordinates of the point will be,
x - coordinates → [tex]\frac{mx_2-nx_1}{m-n}[/tex]
y - coordinates → [tex]\frac{my_2-ny_1}{m-n}[/tex]
If the coordinates of the endpoints X and Z are (1, 9) and (5, -11) respectively and the ratio in which a point Y divides the segment is 1 : 5,
(Since, XY : XZ = 1 : 4 therefore, XY : YZ = 1 : 5)
Therefore, coordinates of Y will be,
x- coordinates → [tex]\frac{1(5)-5(1)}{1-4}=0[/tex]
y-coordinates → [tex]\frac{1(-11)-5(9)}{1-5}=\frac{-56}{-4}=14[/tex]
Therefore, coordinates of Y will be [tex](0,14)[/tex].
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Gabbar watched 650 movies in the last 5 years. Every year he watched 10 movies less than the previous year. How many movies did he watch in the 1st year?
Answer:
he watched 2movie in 1st year
Round 799.999 to:
hundredths
and
tens
Answer:
Tens: 800
Hundredths: 800
Step-by-step explanation:
It's all connected.
Answer:
799.999 ≈ 800.00 rounded to hundredths799.999 ≈ 800.0 rounded to tenths2out of 5 people own a bike if there are 2500 people in the neighborhood about how many people own a bike
Find the decimal for 2 out of 5 by dividing 2 by 5:
2 out of 5 = 2/5 = 0.40
Multiply total people by 0.40:
2500 x 0.40 = 1,000
Answer: 1,000
Which number is equivalent to 4 /12
Step-by-step explanation:
a 9/2 is the correct answer.
Answer:
9/2
Step-by-step explanation:
[tex]4\frac{1}{2} = \frac{(2*4)+1}{2} \\=\frac{9}{2}[/tex]
The greater of two numbers is 6 more than 4 times the smaller. Their sum is 41. FInd the numbers.
Answer:
7 and 34
Step-by-step explanation:
let x and y be the 2 numbers with x > y
The 2 equations to solve are
x = 4y + 6 → (1)
x + y = 41 → (2)
Substitute x = 4y + 6 into (2)
4y + 6 + y = 41 , that is
5y + 6 = 41 ( subtract 6 from both sides )
5y = 35 ( divide both sides by 5 )
y = 7
Substitute y = 7 into (1)
x = 4(7) + 6 = 28 + 6 = 34
The 2 numbers are 7 and 34
Write the slope-intercept form of the equation of the line through the given point with the given slope.
through: (1, 1), slope = 6)
through: (-4, -4), slope = 1/4)
through: (4, 5), slope = 7/4)
through: (-4, -5), slope = 0)
through: (5, 1), slope = -2/5
Answer:
through: (-4, -5), slope = 0)
Step-by-step explanation:
gd afternoon
have a lovely day
if your shoe size is out of stock should you size up or down i’m a girl
Which is an equivalent form of the expression 1800(1.2)-t?
Answer:
2160 - t
Step-by-step explanation:
1800(1.2)-t
2160 - t
recupera los siguientes conceptos: ecuación
Hay dos posibles definiciones:
(Lógica) Proposición Abierta con Equivalencia que contiene Elementos tal que esta sea Verdadera.
(Algebraica) Expresión de Igualdad entre un Conjunto de Variables.
Observación: A nuestro modo de ver el enunciado se halla incompleto y consideramos que la solución está en definir el alcance del verbo "recuperar", el cual para estos efectos definimos como "retomar y describir". Por otra parte, se reescribe el concepto como sigue:
Recupera el concepto de ecuación.
Matemáticamente, podemos sacar dos Definiciones al término Ecuación, las cuales son descritas a continuación:
1) Proposición Abierta con Equivalencia que contiene Elementos tal que esta sea Verdadera.
2) Expresión de Igualdad entre un Conjunto de Variables.
Véase esta pregunta relacionada con Ecuaciones: https://brainly.com/question/21496108
f(r)=3.14r2 what is f(7)?
Hi :)
f(r) = 3.14r2
f(7) = 3.14(7)(2)
f(7) = 43.96
can someone answer this please
Answer:
DE = 1/2 AC -> AC = 4
EF = 1/2 AB -> AB = 6
DF = 1/2 BC -> BC = 8
Step-by-step explanation:
hope it help u
PLZ HELP!! i’ll give brainliest
Answer:
7.2
Step-by-step explanation:
The points shown form a right angle triangle along the x axis so the distance is the hypotenuse. So
a**2 + b**2 = c**2
4**2 + 6**2 = c**2
16 + 36 = c**2
52 = c**2
52**(1/2) = c
7.2 = c
Solve for x: two thirds(x − 2) = 4x
Answer:
-2/5 =x
Step-by-step explanation:
2/3 ( x-2) = 4x
Multiply each side by 3/2
3/2 * 2/3 (x-2) = 3/2 *4x
x-2 = 6x
Subtract x from each side
x-2-x = 6x-x
-2 = 5x
Divide each side by 5
-2/5 = 5x/5
-2/5 =x
x=− 2/5=−0.4 is the answer please mark brainliest
48 tablespoons to cups
Answer:
I'm about to use the lmgtfy card
Answer:
48 us cups = 3 us cups
Plz mrk me brainliest
Hermione is collecting Chocolate
Frog Cards. She starts with a
collection of 20 cards and gets 2 more
per week. After how many weeks will
she have 64 cards?
Answer: 22
Step-by-step explanation: 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64
quicker example: 64-20= 44 also 22x2=44 + 20 = 64
To shape service similar create and solve a proportion to find the value of X then find the measure of the unknown side
Answer:
x = 10
6x - 6 = 54
Step-by-step explanation:
The hypotenuse of both triangles are 63 and 6x - 6; the second longest sides are 49 (greater than 35) and 42 (greater than 30).
So our proportion:
63/(6x-6) = 49/42
Cross multiply
63*42 = 49*(6x-6)
2646 = 294x-294
2940 = 294x
x = 10
Double-check:
63/(6*10 - 6) = 49/42
63/(60 - 6) = 49/42
63/54 = 49/42
7/6 = 7/6
6x - 6 = 6(10) - 6 = 60 - 6 = 54
Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?
one half(k + 5)
one halfk + 5
one half + k + 5
one halfk > 5
Find x if 2 {x}^2- 3 {x} + 1 >0, where {.} denotes the fractional part in [- 1, 1]
Step-by-step explanation:
−1,
2
−1
]∪[0,
2
1
]∪{1}
For f to be defined 2{x}
2
−3{x}+1≥0
({x}−1)(2{x}−1)≥0
⇒{x}∈(−∞,
2
1
)∪[1,∞)
But we know, {x}∈[0,1)
Thus {x}∈[0,
2
1
)→(1)
Also given that x∈[−1,1]
Hence required domain is [−1,−
2
1
]∪[0,
2
1
],∪{1}
Note {−x}=1−{x}
3(3x+3)−5x−4=25 .......................................................
Answer:
X = 5
Step-by-step explanation:
3(3x+3)-5x-4=25
9x+9-5x-4=25
4x+5=25
4x=25-5
X = 20/4
X = 5
5(1+s)=9s+6
----------------
Answer:
Solution given
5(1+s)=9s+6
distribute
5+5s=9s+6
subtract both side by 5s
5+5s-5s=9s-5s+6
solve like terms
5=4s+6
subtract both side by 6
5-6=4s+6-6
-1=4s
divide both side by 4
-1/4=s
Answer:
[tex]s=-\frac{1}{4}[/tex]
[tex]s=-0.25[/tex]
Step-by-step explanation:
[tex]5\left(1+s\right)=9s+6[/tex]
Apply distributive law:-
[tex]5\left(1+s\right)[/tex]
[tex]=5+5s[/tex]
[tex]5+5s=9s+6[/tex]
Now, Subtract 5 from both sides :-
[tex]5+5s-5=9s+6-5[/tex]
[tex]5s=9s+1[/tex]
Subtract 9s from both sides:-
[tex]5s-9s=9s+1-9s[/tex]
[tex]-4s=1[/tex]
Divide both sides by -4:-
[tex]\frac{-4s}{-4}=\frac{1}{-4}[/tex]
[tex]s=-\frac{1}{4}[/tex]
OAmalOHopeO
What and why is the total amount 180 is it a triangle? Or something
Answer:
Yes it is
Step-by-step explanation:
when you add up all parts of a triangle they are equal to 180
Answer:
yes
Step-by-step explanation:
the sum of interior angles of a triangle is = to 180 degrees.(It's a geomatory theorem)
The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 1 < x < 2?
Kristy’s cellphone company charges a monthly rate of $45 plus $0.05 per text message sent, and $0.58 per video messages sent. Kristy’s sent 8 video messages in October and receive a bill for $55.29. How many text messages did she sent?
Answer:
About 113.
Step-by-step explanation:
45 + 0.05t +0.58v = 55.29
v = 8
t is 113 text messages.
Kristy’s sent About 113 text messages..
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
It is given that Kristy’s cellphone company charges a monthly rate of $45 plus $0.05 per text message sent and $0.58 per video messages sent.
Also Kristy’s sent 8 video messages in October and receive a bill for $55.29.
The equation form as;
45 + 0.05t +0.58v = 55.29
Solve for t when v = 8;
45 + 0.05t +0.58(8) = 55.29
t = 113
Therefore, she sent 113 text messages.
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Which of the following numbers is a rational
number but not an integer?
A. -4
B. -3.5
c. -2
24
8
D. 25
Answer:
I think -3.5 is the right answer
7+4c=7c+6
-----------------
Answer:
Solution given:
7+4c=7c+6
subtracting both side by 4c
7+4c-4c=7c-4c+6
solve like terms
7=3c+6
subtracting both side by 6
7-6=3c+6-6
3c=1
c=1/3
Answer:
c = -1/3
Step-by-step explanation:
7 + 4c = 7c + 6
7 - 8 + 4c = 7c
-1 + 4c = 7c
-1 = 7c - 4c
-1 = 3c
-1/3 = c
Quadrilateral PQRS is a rectangle. What is the length of PQ?
Select the best answer from the choices provided.
А.7
B.19.799
C.24.249
D.28
Answer:
C
Step-by-step explanation:
remember SOHCAHTOA
SOH is for sin
CAH is for cosin
TOA is for tan
line PS=14 so line QR=14
line PQ is your x value. so to solve, write out tan30=14/x
rewrite it so it now says x= 14/tan. type that in to your calculator and you get your answer
How to evaluate a2 + b - c2
Tyrell had $73.25. He then spent $42.73 on a pair of shoes. Witch is the best estimate of the amount tyrell had left?
Answer:
I would estimate $30.52
Step-by-step explanation:
If you subtract his original total from the beginning from what he had spent on shoes, you would get the amount of what he has left.
what is 2.3 ÷ 225.4
Answer: 2.3/225.4=0.01020408
Answer:
98.000
Step-by-step explanation:
Change the divisor 2.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
2254 ÷ 23 = 98.000
and therefore:
225.4 ÷ 2.3 = 98.000
Both calculated to 3 decimal places.
please help me with this question 17t 200kg divided by 8
Answer:
1 ton = 1000 kg
So, 17 ton = 17 × 1000
= 17000 kg
17000 + 200 kg = 17200 kg
[tex] \frac{17200}{8} = 2150kg[/tex]