Answer:
x = -9/2 or -4.5
Step-by-step explanation:
-2x-5=4
Add 5 to each side
-2x-5+5=4+5
-2x = 9
Divide each side by -2
-2x/-2 = 9/-2
x = -9/2 or -4.5
The line segment joining the points ( 3,-4) and (1,2) is trisected at the points P and Q . If the coordinates of P and Q are (p , -2 ) and ( 5/3 , q ) respectively, find the values of p and q.
Answer:
P = 7/3 and q = 0
Step-by-step explanation:
The given parameters are;
The endpoints of the segment are, (3, -4) and (1, 2)
The points that trisect the given points are P and Q with coordinates (p, -2) and (5/3, q) respectively
Therefore, we have;
The first point of the trisection cuts 1/3 of the length from one point and the second point of the trisection cuts 2/3 of the length from the same point
The coordinates of P or Q = (3 - (3 - 1)/3, -4 - (-4 - 2)/3) = (7/3 , -2)
Therefore, given that the y-coordinate value of the derived point coincides with the y-coordinate value of the point P, (p, -2) and there is only one point with x = -2 on the line, we have that the coordinate of the point P is (p, -2) = (7/3 , -2)
∴ P = 7/3
Similarly we have the second point of the trisection, Q, given as follows;
We are already given the x-coordinate value of the point Q as the 5/3 in (5/3, q)
Point Q = (5/3, q) = (3 - 2×(3 - 1)/3, -4 - 2×(-4 - 2)/3) = (5/3 , 0)
Point Q = (5/3, q) = (5/3 , 0)
∴ q = 0.
What is the answer to this question above?
Answer:
is it multiple choice
Step-by-step explanation:
Answer:
x is 10 y is 5.8
Step-by-step explanation:
x=y+4.2=10
Will give brainlist if correct.
Answer: [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
1. Original Equation: [tex]4^4(4^-^7)(4)[/tex]
2.Simplify: [tex]4^4(4^-^7)(4) ----> 4^4* 4^-^7 * 4\\[/tex]
3.Apply exponent rule: [tex]4^4^-^7^+^1[/tex]
4. Simplify: [tex]4^-^2\\[/tex]
5.Apply exponent rule: [tex]\frac{1}{4^2}[/tex]
6.Simplify: [tex]\frac{1}{16}[/tex]
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.21 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
will give crown if answered correctly..
Answer:
what is a crown
Step-by-step explanation:
they should stop eating out
What is the equation of the línea perpendicular to y= -3x + 3/5 that Goes through point (-2, 3 )
Answer:
y=1/3x+11/3
Step-by-step explanation:
y=mx+b
y=1/3x+b
3=1/3(-2)+b
3 = -2/3+b
+2/3 +2/3
11/3=b
So the equation of the line that perpendicular to y= -3x + 3/5 that Goes through point (-2, 3 ) is y=1/3x+11/3.
Why is the function below called a rational function?
f(x) =x+3
——
x-2
a) Write 7.1 x 10² as an ordinary number.
Answer:
710 is the answer.
Step-by-step explanation:
7.1 x 10^2
10^2= 10 x 10 = 100
so,
7.1 x 100 = 710
PLEASE HELP
At a family reunion, 6 families share 500 photos equally. How many photos does 13 each family get and how many photos are left over?
Answer:
83 photos each
2 photos left over
Answer:
Each Family gets 83 photos each and 2 photos are left over
Step-by-step explanation:
Hope this helps and have a great day :)Kendra posts a photo on her social media account.In the first hour, 2 friends share the photo.In the second hour, each of those friends has 2 friends who share the photo.The pattern continues. How many photos do people share in hour
1. 32
2. 64
3. 12
4. 9
Answer:
Step-by-step explanation:
The answer is 64 because If you multiply 2x2x2x2x2x2 It equals 64
Tell what number you would add to each side of the inequality to solve the inequality.
f-2 ≤ 3
Add ___ to each side of the inequality
Answer: Add 2 to each side
We do this to undo the "minus 2" or "subtract 2" that is happening to the variable f. Addition is the opposite of subtraction.
Solving that inequality leads to [tex]f \le 5[/tex] meaning f can be 5 or smaller.
Solve 14n+ 6p - 8n = 18p for
A.
n =
-
B. na
C. n = 4p
D. n = 2p
Answer: d n = 2p
Step-by-step explanation:
(Find common denominator first.)
3/2 + b=7/4
Answer:
b = 1/4
Step-by-step explanation:
Take the given fractions : 3/2 and 7/4 and find a common denominator.We will use 4 as a common denominator.
In order for the denominator of 3/2 to get to 4, you need to multiply by 2.3 × 2 = 6 2 × 2 = 4
New fraction: 6/4Now we have the equation 6/4 + b = 7/4
7/4 - 6/4 = 1/4
Write an equation of the line that passes through each pair of points (5,-3), (2,5)
Answer:
8x+(-27)=y
Step-by-step explanation:
To find an equation of a line, you use the formula mx+b=y
M=slope
x=x cooridnates
y=y coordinates
b=y intercept
Slope:
You use the formula y2-y1/x2/x1 to find slope.
5-(-3)/2-5
5+3/-3
8/-3
8
Y intercept:
8(5)+b==3
40+b=-3
b=-37
Equation: 8x+-37=y
The equation of the line that passes through each pair of points (5,-3), (2,5) is 3y = -8x+31
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a line passes through each pair of points (5,-3), (2,5)
We know that, the equation of a line passing through two points (x1, y1) and (x2, y2) is given by,
(y-y1) = (y2-y1)/(x2-x1)(x-x1)
Where, (y2-y1)/(x2-x1) is, representing the slope of the line.
Here, x1 = 5, x2 = 2 and y1 = -3, y2 = 5
Equation of the line =
(y+3) = (5+3)/(2-5)(x-5)
y+3 = -8/3(x-5)
3y+9 = -8x+40
3y = -8x+31
Hence, The equation of the line that passes through each pair of points (5,-3), (2,5) is 3y = -8x+31
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If his heartbeat has increased by 8 beats per minute after 20 minutes of working out how much will his heartbeat have increased after 30 minutes of working out
Answer:
12 beats per minute after 30minutes
Step-by-step explanation:
Since we are told by how much his heartrate increased in 20 minutes, we can simply calculate how much it increased in 10 minutes and add that amount to the current heart rate to know how much his heartrate increased after 30 minutes of working out. Since 10minutes would be half of the 20minutes we simply divide the beats per minute by 2.
8 / 2 = 4 beats per minute after 10 minutes
Now we simply add this to the beats per minute at the 20minute mark to calculate the beats per minute at 30minutes
8 + 4 = 12 beats per minute after 30minutes
A graph titled Passing Statistics has pass attempts on the x-axis, and yards on the y-axis. A line goes through points (24, 127) and (36, 163).
The scatterplot shows how many pass attempts and yards a quarterback has in different football games. Notice that the line passes through the second point from the left, (24, 127) and the farthest point on the right (36, 163).
What is the slope of the trend line?
Answer:
1/3x
Step-by-step explanation:
Subtract x by x and y by y to find the distance/difference
36 163
24, 127
= 12/36 = rise/run
Now reduce to find the slope, reduce until you can't anymore.
12/36
6/18
3/9
1/3 (that's your slope)
Derek made 15 baskets. This was triple the number of baskets he made on Saturday
Which equation can be used to find, x, the number of baskets Derek made on Saturday?
A) x-3 = 15
B) x/3 = 15 (the x is in fraction form x over three just so u know)
C) x+3 = 15
D) 3x = 15
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equation can be used to find, x, the number of baskets Derek made on Saturday.
3x = 15
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of baskets made = 15
This was triple the number of baskets he made on Saturday.
This means,
3x = 15
Number of baskets made on Saturday = x
Now,
3x = 15
Divide both sides by 3.
x = 5
The number of baskets made on Saturday is 5.
Thus,
The equation can be used to find, x, the number of baskets Derek made on Saturday.
3x = 15
Option D is the correct answer.
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what is the slope. please hurry up
Answer:
The slope is 1/2
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=2-1/4-2
m=1/2
plz help
Simplify:
- 1.2+15.45
Answer:
- 1.2+15.45=14.43
Step-by-step explanation:
is 18/42 rational or irrational
Answer:
Step-by-step explanation:
rational
Answer:
Rational
Explanation:
18/42 is 4.258 which is a rational number
You are ordering planks of
wood that are 8' long each.
You need 15 pieces cut 3' long,
and 9 pieces cut 4' long. How
many planks of wood should
you order?
you need 10 8' planks of wood because 15x3= 45+9x4= 77, then 77÷8= 9.625, but you can't get .625 of a plank, so 10. hope you get a good grade!
PLS HELP FAST WITH THIS QUESTION
Please help me with this
Answer:
B 4/3
Step-by-step explanation:
3^32^9/3^42^7
B 4/3
A recipe calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much grape juice would you need to mix with 15/4 of sparkling water?
Answer:
15/8 quartz of grape juice
Step-by-step explanation:
Given that:
Standard Recipe requirement :
1 1/2 quartz of sparkling water requires 3/4 quatz of grape juice
Number of grape juice required for 15/4 of sparkling water ;
Let quartz of grape juice required = x
1 1/2 sparkling water = 3/4 grape juice
15 /4 sparkling water = x grape juice
3/2 = 3/4
15/4 = x
Cross multiply ;
3/2 x = 15/4 * 3/4
3/2x = 45/ 16
x = 45/16 ÷ 3/2
x = 45/16 * 2/3
x = 90/48 = 15/8
x = 15/8 quartz of grape juice
ax+by=c What is the equivalent equation
In a video game, two objects move around the screen according to the equations r = 4cos(0) and r= -1 +
2cos(0). Which coordinates represent a possible collision point of the objects?
Answer:
The correct option is;
[tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]
Step-by-step explanation:
The given parameters are
The equation of motion of one (the first) object is r = 4·cos(θ)
The equation of motion of the other (the second) object is r = -1 + 2·cos(θ)
Equating both equations gives;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -1/2
θ = Arccos(-1/2) = 120° = 2·π/3
Therefore, the two equations are equal when θ = 2·π/3 for which we have;
r = 4·cos(2π/3) = -2 and r = -1 + 2·cos(2π/3) = -2
∴ r = 4·cos(2π/3) = -1 + 2·cos(2π/3) = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore [tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]
Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex])
Given that ,
The first object is moving around the screen r = 4 cos(0)
The second object is moving around the screen r = -1 + 2cos(0)
We have to find ,
The coordinates represent a possible collision point of the objects.
According to the question,
Coordinate represent collision points to object ,
Equating both equations ;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -[tex]\frac{1}{2}[/tex]
θ = [tex]cos^{-1} (\frac{1}{2} )[/tex] = 120°
[tex]\theta[/tex] = [tex]\frac{-2\pi }{3}[/tex]
Therefore, the two equations are equal when θ = [tex]\frac{2\pi }{3}[/tex]
We have;
r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -2
And r = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex]) =
r = -2
r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex])
r = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore r = -2 and [tex]\theta = \frac{2\pi }{3}[/tex] .
Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex]) .
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Una caja registradora contiene $1782 en monedas de cinco pesos, de diez y de un peso. Hay 802 monedas en total, y 10 veces más de 5 que de a 10 ¿Cuántas monedas hay de cada una en la caja registradora?
Answer:
En la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas un peso.
Step-by-step explanation:
De acuerdo a la información, puedes escribir las siguientes ecuaciones:
x+y+z=802 (1)
5x+10y+z=1782 (2)
x=10y (3)
Primero debes reemplazar (3) en (1) y (2):
10y+y+z=802
11y+z=802 (4)
5(10y)+10y+z=1782
50y+10y+z=1782
60y+z=1782 (5)
Ahora, tienes dos ecuaciones:
11y+z=802 (4)
60y+z=1782 (5)
Puedes despejar z en (4):
z=802-11y (6)
Después, puedes reemplazar (6) en (5):
60y+802-11y=1782
49y=1782-802
y=980/49
y=20
Puedes reemplazar el valor de y en (3) para encontrar x:
x=10y
x=10(20)
x=200
Puedes reemplazar el valor de y en (6) para encontrar z:
z=802-11(20)
z=802-220
z=582
De acuerdo a esto, en la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas de un peso.
An amount P at 6% for 5 years compounded monthly increased to $15000.00. What is P? (Round answer to cents)
Answer:
$20,232.75
Step-by-step explanation:
I hope it helped
Simplify
x + x + y x y?
Answer: [tex]2x+y^2[/tex]
Step-by-step explanation:
[tex]x\:+\:x\:+\:y\:\cdot \:y[/tex]
[tex]x+x+yy[/tex]
[tex]2x+yy[/tex]
[tex]2x+y^2[/tex]
Answer:
2(x)+[tex]y^{2}[/tex]
in the equation, y = 0.007x, how many inches of rain falls in 6 minutes?
Answer:
X represents the value you can multiply with the slope to get the answer.
y = 0.007x
= 0.007(6)
= 0.042
Therefore, 0.042 inches of rain falls in 6 minutes.
As of July 1, 2014, the population of India was about 1,267,000,000. How can you write this number in scientific notation?
1. Move the decimal point to the right of the first digit. What is the first factor?
Answer:
1) 1.267x10^9
2) 2
Step-by-step explanation: