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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A water balloon is thrown upward from a height of 5 feet with an initial velocity of 35 feet per second. The quadratic function h(t)=-16t^2+35t+5 represents the height of the balloon, h, in feet t seconds after it is thrown. Determine when the balloon is more than 10 feet above the ground. Round your answer to the nearest thousandth.
Answer:
t>2.034s and t>0.154s
Step-by-step explanation:
Given the quadratic function h(t)=-16t^2+35t+5 which represents the height of the balloon, h, in feet t seconds after it is thrown.
To determine when the balloon is more than 10feet above the ground, we will substitute h = 10 into the expression to have;
h(t)=-16t^2+35t+5
-16t^2+35t+5>10
-16t^2+35t+5-10>0
16t^2-35t+5>0
Find t;
t > 35±√35²-4(16)(5)/2(16)
t>35±√1225-320/32
t>35±√905/32
t>35±30.08/32
t > 35+30.08/32 and t > 35-30.08/32
t>65.08/32 and t>4.92/32
t>2.034s and t>0.154s
Hence the balloon is more than 10feet above the ground at when t>2.034s and t>0.154s
The diameter of a proton is 1.7 x 10-15 meters and the diameter of an atom is 5 x 10-10 meters. What is the difference in the diameters? Write your answer in scientific notation.
Answer:
[tex]4.99\times 10^{-10}\ m[/tex]
Step-by-step explanation:
Given that,
The diameter of a proton is 1.7 x 10⁻¹⁵ meters
The diameter of an atom is 5 x 10⁻¹⁰ meters.
We need to find the difference in the diameters.
[tex]D=5\cdot10^{-10}-1.7\cdot10^{-15}\\\\=4.99\times 10^{-10}\ m[/tex]
So, the difference in the diameter is [tex]4.99\times 10^{-10}\ m[/tex].
Solve 14n+ 6p - 8n = 18p for
A.
n =
-
B. na
C. n = 4p
D. n = 2p
Answer: d n = 2p
Step-by-step explanation:
Brainliest to right answer.
Answer:
c=-5
Step-by-step explanation:
Answer:
c = -5
Step-by-step explanation:
This is the answer because:
1) We first have to isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!
Mr. Sampson fills the family pool with water for
the summer. After two hours, the water has
reached a depth of 2.5 feet. After three hours,
the water level has risen to 3 3/4feet. If the
relationship between time and water depth is
proportional, what is the constant of
proportionality?
Answer
A.1
B.1 1/4
C.1 1/2
D.2
Answer:
A, because the difference between 2.5 and 3 3/4 is 1. Thanks!
Write the inequality graphed below. Use "x" as your variable
Answer:
x is greater than or equal to 3. x > 3
Step-by-step explanation:
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 :)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.
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
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.
PLS HELP FAST WITH THIS QUESTION
ax+by=c What is the equivalent equation
You randomly select one truck owner. What is the probability that he owns a Dodge or has four
wheel drive?
Answer:
50%
Step-by-step explanation:
hope this helped
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
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:
Why is the function below called a rational function?
f(x) =x+3
——
x-2
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)
question in pic. please help!
Answer:
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
Step-by-step explanation:
We need to place the sides of triangle DE, DF and EF from longest to shortest.
The triangle has longest side that is opposite to the largest angle
We know two angles < E= 61° , <F= 59° we need to find <D
Sum of angles of triangle = 180°
So, 61°+59°+<D=180°
120°+<D=180°
<D=180°-120°
<D=60°
So, the largest angle is <E= 61°
The longest side must be opposite to <E so, the side is DF
The second largest angle is <D=60° so, second side will be EF
The smallest angle is <F=59° so, third (shortest) side will be DE
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
(04.01 LC)
The coordinates of point A on a grid are (-2,-4). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are
- 4). (5 points)
Answer:
(2, -4) would be point b.
Step-by-step explanation:
This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis
Answer:
it would be (2,-4)
Step-by-step explanation:
correct me if I'm wrong
Stay Safe
Stay Strong
Stay Awesome
Two water tanks are being filled. The water in Tank A is 3 inches deep, and the depth of the water increases 4
inches every hour. The water in Tank B is 10 inches deep, and the depth is increasing by 2 inches every hour.
Write an inequality to determine when the water in Tank A will be deeper than the water in Tank B.
I need an inequality written for what is written above please!!!
Answer:
i think it is this:
tank a: 6 hours?
tank b: 7 hours?
Step-by-step explanation:
sorry if im wrong if you can please give me brainliest<3 have a good day
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.
Please help me with this
Answer:
B 4/3
Step-by-step explanation:
3^32^9/3^42^7
B 4/3
Eric and Shiloh each have a savings account. The ratio of Eric's balance to Shiloh is 4:3. Together they have a total of $40 in their accounts. How much money does each bar represent
Answer:
[tex]Eric= \$22.86[/tex]
[tex]Shiloh = \$17.14[/tex]
Step-by-step explanation:
Represent Eric with E and Shiloh with S;
[tex]E:S = 4:3[/tex]
[tex]Total = \$40[/tex]
Required
Determine the how much money each have
We have to convert the ratio to fraction;
For Eric, we have
[tex]Eric= \frac{E}{E + S} * Total[/tex]
[tex]Eric= \frac{4}{4 + 3} * \$40[/tex]
[tex]Eric= \frac{4}{7} * \$40[/tex]
[tex]Eric= \frac{\$160}{7}[/tex]
[tex]Eric= \$22.86[/tex]
[tex]Shiloh = Total - Eric[/tex]
[tex]Shiloh = \$40 - \$22.86[/tex]
[tex]Shiloh = \$17.14[/tex]
5/8 divided by 1 and 1/3?
Answer:
15/32
Step-by-step explanation:
First convert 1 1/3 to improper fraction:
1 1/3 = 4/3
5/8 divided by 4/3 is same as...
[tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]
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
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]
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
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.
HELPPP :(
Max is mountain hiking at a constant rate.
This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.
Which statement best describes Max's elevation, given this equation?
Max started at a height of 10 meters and is ascending at 30 meters per hour.
Max started at a height of 10 meters and is descending at 30 meters per hour.
Max started at a height of 30 meters and is ascending at 10 meters per hour.
Max started at a height of 30 meters and is descending at 10 meters per hour.
(If you don’t know the answer, please don’t spam :<)
Answer:
D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.
The statement that best describes Max's elevation, given this equation is
D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.
Given that,
This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.Explanation regarding the statement:The max should begins at the height of 30 meters. And, the ascending at 10 meters per hour.Learn more about the height here: https://brainly.com/question/5281804