The line with slope m that contains the point (x1, y1) can be described by the equation
y − y1 = m(x − x1). In a real-world linear situation, you may have information that represents two points on the line. You can write an equation in point-slope form that represents the situation and use that equation to solve a problem.
Let x represent the number of days since the ship left port and y represent the number of gallons of water.
Two points on the line are (8,3240) and (1, 3555).
m =
3555 − 3240
1 − 8
=
315
−7
= −45
y − y1 = m(x − x1) Point-slope form.
y − 3555 = −45(x − 1) or y − 3240 = −45(x − 8)
y − 3555 = −45(60 − 1) Substitute for x.
y − 3555 = −2655 Simplify the right side.
y = 900 Solve for y.
900 gallons of water will be left after 60 days.
Hope this helped! (I didn't do it sooner cause I just did the quiz lol)
The equation of the function, in point-slope form, is given by:
[tex]y - 3555 = -45(x - 1)[/tex]
The amount of water left in the ship after 60 days is of 900 cubic units.
A line, in point-slope form, is represented by the following equation:
[tex]y - y_0 = m(x - x_0)[/tex]
In which:
m is the slope, which is the rate of change.The point is [tex](x_0, y_0)[/tex].We have two points: (1, 3555) and (8,3240).
Taking the first point, [tex]x_0 = 1, y = 3555[/tex].The slope is given by change in y divided by change in x, thus:[tex]m = \frac{3240 - 3555}{8 - 1} = -45[/tex]
Then
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 3555 = -45(x - 1)[/tex]
The amount after 60 days is y when x = 60, thus:
[tex]y - 3555 = -45(60 - 1)[/tex]
[tex]y = 900[/tex]
The amount of water left in the ship after 60 days is of 900 cubic units.
A similar problem is given at https://brainly.com/question/13967935
convert 3 and 7/8 to decimal
Answer:
Hey!
[tex]3\frac{7}{8}[/tex] in decimal form is 3.875
Step-by-step explanation:
7/8 is 0.875
We just add this to 3 to make 3.875!
I HOPE THIS HELPED!2/5(j+40)=-4 can you show the work plz
Answer:
-50
Step-by-step explanation:
2/5(j + 40) = -4
j+40 = -4 ÷2/5
j+40 = -10
j = -10 - 40
j = -50
Please help me I am so confused it would mean a lot.
Step-by-step explanation:
1. The midpoint formula says the coordinates of the midpoint are the average of the endpoints.
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
I'll do #2 and #3 as examples.
2. x = (-4 + 10) / 2 = 3
y = (6 + -10) / 2 = -2
So the midpoint is (3, -2).
3. x = (-3 + -6.5) / 2 = -4.75
y = (-8 + -4.5) / 2 = -6.25
So the midpoint is (-4.75, -6.25).
I'll give u full brainlist if u do this!
calculate the agerage speed for each sutuation, rounding your answer to two dicimal places where appropriate:
a) a bus travels 876km in 16 hours
b) an athlete runs 10 km in 26.44 minutes
Answer:
a. 54.75
b. 2.64
Step-by-step explanation:
A coordinate plane with 4 lines. The first line is labeled a(x) and passes through (2, negative 4) and (0, 2) and continues past (negative 1, 5). The second line is labeled f(x) and passes through (negative 6, negative 6), (negative 3, 0), and (0, 6). The third line is labeled g(x) and passes through (negative 2, negative 7), (0, negative 3), (1, negative 1) and (2, 1). The fourth line is labeled h(x) and passes through (negative 6, negative 6), (0, negative 3), and (6, 0). When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario? a(x) f(x) g(x) h(x)
Answer:
the answer is g(x)
Step-by-step explanation:
Answer:
G(x)
Step-by-step explanation:
I just did the assignment.
(X-7)(3x+2) need answer!!
Answer: the answer is
=3[tex]x^{2}[/tex]−19x−14
Step-by-step explanation: (x−7)(3x+2)
=(x+−7)(3x+2)
=(x)(3x)+(x)(2)+(−7)(3x)+(−7)(2)
=3x2+2x−21x−14
=3x2−19x−14
Justified” is an option of paragraph formatting in a Word processor. Which of the following contain Justified option?
(1 Point)
Alignment
Orientation
Columns
Borders
HELP ME PLEAAASEEEEEEEEE
YEA ITS ME AGAIN I NEED HELP
Answer:
B. 4/3 hours
Step-by-step explanation:
because in smart
How do I write an equation in point-slope form for m=-3 (-2,-1) ?
Answer:
y + 1 = -3(x + 2)
Step-by-step explanation:
Point-slope form is y - y1 = m(x - x1)
m= -3 (-2, -1)
Plug -3 in for the m in the equation, -2 in for x1, and -1 in for y1
y - (-1) = -3(x - (-2))
Subtracting negatives will make them positive
y + 1 = -3(x + 2)
This is the point-slope form, continuing to solve for y will give the y-intercept form.
Y-intercept Form:
y = -3x - 7
Round each mixed number to the nearest whole number. Then, estimate the sum.
141 +31
Answer:
172
Step-by-step explanation:
It is already a whole number so you just add.
what is 14/16 + 1/5
Answer:
27/40
Step-by-step explanation:
1
Simplify —
5
Equation at the end of step
1
:
14 1
—— - —
16 5
STEP
2
:
7
Simplify —
8
Equation at the end of step
2
:
7 1
— - —
8 5
and then round the denominator up to 40
multiply 5 times 7 now
multiply 8 times 1
35/40-8/40=27/40
A baseball player swings at the ball 56 times over a season and hits 16 times.
What is the ratio of hits to misses?
Answer:
2:5.
Step-by-step explanation:
Number of misses = 56 - 16 = 40.
Ratio = 16:40
- which simplifies to (16/8) : (40 / 8)
= 2:5.
Simplify the following expression using the commutative and associative properties (combining like terms);
-3x + 7 -12 + 5x
Its not showing a actual answer
Answer:
the answer will be
2x-5
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units
x + 4
x + 4
3x + 13
3x + 43
Answer:
Step-by-step explanation:
Solve 3x−5 = 9. (1 point) a x = −3 b x = 2 c x = 7 d x = 8
Answer:
x=7
Step-by-step explanation:
x 3^(x-5)=9 (Original Question)
Check attatched image for explanation
Select the correct answer.
What is the justification for step 2 in the solution process?
12y − 40 − 4y = 6y − 18
Step 1: 8y − 40 = 6y − 18
Step 2: 2y − 40 = -18
A.
the subtraction property of equality
B.
the division property of equality
C.
the addition property of equality
D.
the multiplication property of equality
Answer:A.
the subtraction property of equality
Step-by-step explanation:
Need help asap!
Given that m
Re-write in standard form: y=3x-6 * Your answer
Answer: 3x-y=6
Step-by-step explanation:
Hope this helps
Find value of -2/3y-3/4=5
Answer:
-8.625
Step-by-step explanation:
-8 5/8
Karen is saving money to buy a game . So far he saved $15 , which is three fourths . How much does the game cost ?
Answer:
$25
Step-by-step explanation:
Let X = total cost of game
(3/5) X = $15
Multiply both sides of equation by 5/3
(5/3)(3/5) X = (5/3) $15
X = $25
cost of game is $25
HURRY FAST I NEED HELP ASAPThe linear function that is represented by which table has the same slope as the graph? On a coordinate plane, a line goes through points (0, negative 3) and (2, 1). A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9. A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.
DESCRIBE how a power with a zero exponent (a^0) and a power with a negative exponent (a^−n) can be simplified.
Answer:
[tex]a^{-n}[/tex] is [tex](\frac{1}{a})^{n}[/tex] OR [tex]\frac{1}{a^{n} }[/tex]
[tex]a^{0}[/tex] = 1, where a ≠ 0
Step-by-step explanation:
To simplify the exponents, you must put it in positive value
Example:
The simplest form of [tex]2^{-3}[/tex] is to change the exponent from negative value to positive value.
You can do that by reciprocal the number, [tex]2^{-3}=(\frac{1}{2})^{3}[/tex]You can write it [tex]\frac{1}{2^{3}}[/tex], because 1 to any power equal 1That means if you want to simplify [tex]a^{-n}[/tex], reciprocal a and change the sign of the power from -n to n
The simplest form of [tex]a^{-n}[/tex] is [tex](\frac{1}{a})^{n}[/tex] OR [tex]\frac{1}{a^{n} }[/tex]
For any number, a (a ≠ 0), 1 × a = a, so, the reason that any number to the zero power is 1 because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, (1)
Example:
The value of [tex](5)^{0}[/tex] = 1, because it is the product of no numbers, so it is equal to the multiplicative identity (1)
That means [tex]a^{0}[/tex] = 1, where a ≠ 0
Very important note:
[tex](0)^{0}[/tex] is undefined value
8+10p=12+10p-4
Help me please
Answer:
p=0
Step-by-step explanation:
subtract 10p from both sides that leaves 8+p=12-4 12-8=4 p=4-4 p=0
[3b+9]-16=-52
i just want to see if i got the correct answer my answer was
b=-15
Answer:
yes, the answer is b = -15
Step-by-step explanation:
3(-15) = -45
-45 + 9 = -36
-36 - 16 = -52
so b = -15
Type the correct answer in each box.
What values of a and b make this equation true?
(4 + ✓–49) – 2(/(-4)2 + V–324) = a + bi
Answer:
-4 , -29
Step-by-step explanation:
The values of a and b that make the equation true are -28 and -9, respectively
How to determine the true values of a and b?The equation is given as:
(4 + √-49) – 2((-4)² + √–324) = a + bi
Evaluate the exponents
(4 + 7i) – 2(16 + 18i) = a + bi
Expand the bracket
4 + 7i – 32 - 16i = a + bi
Collect like terms
4 – 32 + 7i - 16i = a + bi
Evaluate like terms
-28 -9i = a + bi
By comparison, we have:
a = -28 and b = -9
Hence, the values of a and b that make the equation true are -28 and -9, respectively
Read more about complex numbers at:
https://brainly.com/question/10662770
#SPJ2
7 (2x - 9) = 6x – 15
what is this?
En la casa de Juan, van a pedir pizza para la comida, pero cuando la van a pedir se dan cuenta que deben pedirla por perímetro o área de la misma. La mamá dice que es más grande la de perímetro de 100cm y el papá dice que es más la de área de 100cm². ¿Cuál tiene la razón? *
Responder:
La pizza con un perímetro de 100 cm es más grande ¿verdad?
Explicación paso a paso:
Deja que la pizza tenga forma circular.
Sea el área de la pizza = πd² / 4 y;
Perímetro de la pizza = πd
d es el diámetro de la pizza
Si la madre dice que el que tiene un perímetro de 100 cm es más grande, para estar seguros necesitamos obtener el diámetro de la pizza. La de mayor diámetro será la pizza más grande.
P = 100cm
100 = πd
d = 100 / π
d = 100 / 3,14
d = 31,85 cm
El diámetro de la pizza mamá es de 31,85 cm.
Si el padre dice que el que tiene un área de 100 cm² es más grande, obtengamos también el diámetro para estar seguros.
A = πd² / 4
100 = πd² / 4
400 = πd²
d² = 400 / π
d² = 400 / 3,14
d² = 127,39
d = √127,39
d = 11,29 cm
Por lo tanto, el diámetro de la pizza padre es de 11,29 cm.
Dado que el diámetro de la pizza madre es mayor que el de esa, la pizza con un perímetro de 100 cm es más grande, lo que demuestra que la madre tiene razón.
Convert 0.4 J to kJ.
Please show working
Answer:
0.0004
Step-by-step explanation:
divide the energy value by 1000
0.4/1000
work out 7 x 10 to the power of five /2 x 10 to the power of 2
Answer: 3500
Step-by-step explanation:
7 x 10 to the 5th power = 700000
2 x 10 squared = 200
700000/200 = 3500
Answer:
4201750
Step-by-step explanation:
7*10^5/2*10^2
7*10=70
2*10=20
70^5/20^2
70^5 =1680700000
20^2=400
1680700000/400=4201750
PLZ HELP!!!!! DUE TODAY! 50 POINTS & BRAINLIEST FOR SOMEONE WHO CAN EXPLAIN TO ME WHAT I DID WRONG!!!!!!
p.s. thank you in advance!
Answer:
all angles are congruent, the smaller is just a dilation, but the angles are all congruent
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Yes.
all the internal angles on both similar triangle are congruent.