Write the equation of a line that passes through the points (−3, 7) and (3, 3)
y=−2/3x+5
y=2/3x+1
y=−2/3x+9
y=2/3x+9
Step-by-step explanation:
You can write an equation of a line conveniently by point-slope form. It's in the form of [tex]y -a = m(x -b)[/tex] where [tex](b,a)[/tex] is the coordinates of a point that's on the line and [tex]m[/tex] is the slope of the line.
Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose [tex](-3,7)[/tex] where [tex]a = 7[/tex] and [tex]b = -3[/tex]
[tex]y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)[/tex]
The next thing we have to do now is finding the slope, [tex]m[/tex], where it's equal to [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\[/tex]. I'll make [tex](-3,7)[/tex] point 1 and [tex](3,3)[/tex] point 2.
[tex]m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}[/tex]
Now let's plug that to our equation.
[tex]y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)[/tex]
Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.
[tex]y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5[/tex]
Answer:[tex]y = -\frac{2}{3}x +5\\[/tex] is your equation.
Find the sum of the first 50 positive even integers.
The sum of the first 50 positive integers is 2550.
What is the sum of n even numbers?The sum of the n positive even integers is given by the formula below:-
S = n ( n + 1 )
n = number of the digits.
The sum of the 50 even positive integers will be calculated as:-
S = n ( n + 1 )
S = 50 ( 50 + 1 )
S = 2550
Therefore, the sum of the first 50 positive integers is 2550.
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Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?
Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2
A graph titled Gloria's Distance Past the Start Line has time (minutes) on the x-axis and Distance (kilometers) on the y-axis. A line goes through points (5, 0.8), (10, 1.6), (15, 2.4), (20, 3.2) and (25, 4).
Gloria’s time was 0.5 minutes faster.
Richard’s time was 0.5 minutes faster.
Gloria’s time was 2.5 minutes faster.
Richard’s time was 2.5 minutes faster.
Answer: the answer is C. Gloria’s time was 0.5 minutes faster.
Step-by-step explanation: i just took the test
Please help...
R/5 - 6 = -1
A) r=1
B) r=5
C) r=10
D) r=25
Answer: Its D
Step-by-step explanation:
Cause i have calulator :D
Find the rate of change.
Answer:
2
Step-by-step explanation:
Because it goes up 1 and a half and over 1 which equals 2?
What is the double of a hundred?
Answer:
200
Step-by-step explanation:
100 * 2 = 200
Answer:
200?
Step-by-step explanation:
Or is it something more complicated
A submersible vessel at an elevation of -75 feet to 5 times that elevation what is the vessel’s new elevation
Answer:
375 ft
Step-by-step explanation:
you just multiply it times 5
Answer:
375 ft
Step-by-step explanation:
You bought 4 pizzas and paid $7.00 each and cut the pizza into 8 equal slices. You
then sell the slices for $1.75 each. How many pieces would you have to sell to to pay
for the original cost of the 4 pizzas?
Answer:
You would have to sell
16 slices to pay for the
original price of the 4
pizzas
Step-by-step explanation:
$7.00 a box so you would have to multiply to get to
full price. $7.00x4=$28.00 The full price is $28.00.
If you are selling the slices for $1.75 each you would
also have to divide to know how many slices to sell
to get back to $28.00. 28.00÷1.75=16. So you would
have to sell 16 slices to get back to the full price.
Hope this helps.
Have a nice day :)
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I WILL GIVE EXTRA POINTS AND BRAINLIEST HELPPP PLEASE!!!! SHOW ALL WORK!!!
Solve All 4!!
Answer:
#27 is 2x+5°=5
x+59°=59
#28 is x+64°=64
3x+26°= -26
#29 is 2x+17°=17
x+77°=77
#30 is x+97°=97
2x+32°=32
Step-by-step explanation:
remember what i told you +=positive -=negative
hope this helped you out!
What is the volume of a cube with one side being 16 feet ?
Answer:
Cube
Solve for volume
V=4096ft³
Step-by-step explanation:
MARK ME BRANILEST ✨
Answer:
Step-by-step explanation:
V=a3
v=163
v=4096 feet
Felix decides to establish a budget. He will spend $700 for rent, $325 for food, $420 for child care,
$182 for transportation, $300 for other expenses, and he will put the remainder in savings. If his
monthly take-home pay is $2025, find his savings.
Answer:
98$ in savings
Step-by-step explanation:
If you do all the spending combined you would do $700+$325=$1025 $420+$182=$602 add those = $1627+$300=$1927 if his monthly take-home pay is $2025 you would have to do $2025-$1927=$98 remanding.
2
1
3
4
The statement “Angle 2 is congruent
to angle 4" is justified by the
a
b
Alternate Interior Angles Theorem
Definition of Linear Pair
Vertical Angles Theorem
Definition Corresponding Angles.
The statement “Angle 2 is congruent to angle 4" is justified by the Vertical Angles Theorem. Option C is correct.
A mathematical proposition or assertion that has been proven to be true is known as a theorem.
According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.
It is given that,
∠2=∠4
From the diagram, it is observed that two straight lines cross, and they create two sets of linear pairs with matching angles as a result of the Vertical Angles Theorem angle 2 is congruent to angle 4.
Thus, the statement “Angle 2 is congruent to angle 4" is justified by the Vertical Angles Theorem. Option C is correct.
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PLEASE HELP ASAP!!!!
Find the volume of a right circular cone that has a height of 9.7 ft and a base with a
radius of 7.6 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
1/3*9.7*Pi*7.6^2 ft^3 and then round to nearest tenth
Step-by-step explanation:
The trick is knowing that the volume of the cone is exactly 1/3 of the volume of the cylinder with the same radius & height. This relation can be derived using integrals.
Answer:
586.7
Step-by-step explanation:
answers may vary to what teachers want but thats what i got according to delta math
which number is equivalent to 0.45 repeating ?
Answer: 5/11
Tip:
You can solve for these repeating fractions by putting the repeating digits over 9's!
For example, 0.33 repeating:
33/99 = 1/3
And in the case of your problem:
0.454545...
45/99 = 5/11 (simplify!)
1+1 what the answer is
Answer:
1+1 = 2
Step-by-step explanation:
¿como se escribe 115.6 millones
en número?
Answer:
Solo multiplica la cifra mensual por los meses del año (12) es decir
115,6 MC x 12 = 1387,2 MC
MC = Millones de Cerdos
espero que te ayude
Step-by-step explanation:
115,600,000
Aplicando proporciones, hay que 115.6 millones en número es escrito como 115.600.000.
Este problema puede ser solucionado por proporciones, aplicando una regla de três.1 millón es escrito como 1.000.000. ¿como se escribe 115.6 millones ?La regla de três es:
1 millón - 1.000.000
115.6 millones - x
Aplicando multiplicación cruzada:
[tex]x = 115.6(1.000.000) = 115.600.000[/tex]
115.6 millones en número es escrito como 115.600.000.
Un problema similar es dado en https://brainly.com/question/24615636
which of the above objects is moving the fastest?
A. A
B. B
C. All 3 objects are moving at the same speed
D. C
Answer:
b is moving the fastest
Step-by-step explanation:
c looks like its closer and a looks like its faster but b has both so b is the fastest to get there
Answer:
the answer is A
Step-by-step explanation:
bc since object a has the line with the steepest positive slope object a is moving the fastest
Alan had already read 12 books this year before joining a book club, and he plans to read 1
book every month now that he has joined. If Alan has read 19 books so far, how many
months has he been with his book club?
Respuesta:
Step-by-step explanation:
7 libros
12 - 19 ⇒ 7
What is the unit rate of the number of miles driven per number of hours of driving?
25 miles per hour
30 miles per hour
35 miles per hour
40 miles per hour
Answer:
35 miles per hour is the answer
3x + 10+ 2x =50 isks
Answer:
x = 8Step-by-step explanation:
3x + 10+ 2x =50
5x = 50 - 10
x = 40/5
x = 8
The value of x would be equal to 8.
We know that equation is an expression that shows the relationship between two or more numbers, variables, and a mathematical equation is a statement with two equal sides and an equal sign in between.
We are given the equation as;
3x + 10+ 2x =50
Now solve for x;
3x + 10+ 2x =50
Combine like terms;
5x = 50 - 10
x = 40/5
x = 8
The solution will be 8.
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8. How many ounces of liquid are in 4 gallons
Answer:
512 ounces
Step-by-step explanation:
Answer:
512 ounces of liquid
Step-by-step explanation:
Simplify (3-6i) (-5+ i)
Answer:
Simplifed using FOIL: -15+30t+(3-6t)i
Simplifed using distributive property: 15+30t+(3-6t)i
Step-by-step explanation:
estimate 0.047512968 to the nearest hundredth express your answer as a single digit times a power of 10
Answer:
Estimate: 0.05, Scientific Notation: 5*10^-2
Step-by-step explanation:
Using the rules of rounding, we get 0.05. Next, all we do is move the decimal place to the right, and count the amount of times we move it to the left, 2, so the exponent is -2
help? z=m/x solve for x
Answer:
x=m/z
Step-by-step explanation:
solve this equation, and show work. worth 40 points.
Answer:
[tex]r=-3/5=-0.6[/tex]
Step-by-step explanation:
We have the equation:
[tex]6^{-3r}=6^{2r+3}[/tex]
Since their bases are the same, the exponents must be equivalent. So:
[tex]-3r=2r+3[/tex]
Solve for r, subtract 2r from both sides:
[tex]-5r=3[/tex]
Divide both sides by -5:
[tex]r=-3/5=-0.6[/tex]
So, the value of r is -3/5.
And we're done!
Have you ever heard someone ask a question that made you feel defensive or insecure? How might they have reframed that question?
Answer:
YEah it sucks
Step-by-step explanation:
8 over 12 divide 7 over 8
Answer: 19/25
Step-by-step explanation: 8/12 / 7/8 is (rounded) 0.76, and 0.76 as a fraction is 19/25.
Prime number between 60 and 80 with the 10’s digit being one less than the 1st digit
It would be 89.
You can also just look up a list of prime numbers online.
Evalute the function when x = -2
f(x)=11- 3x
Please help I’m confused by the whole concept
Answer:
f(-2)=17
Step-by-step explanation:
Anywhere you see x replace it with -2
f(-2) = 11 - 3 (-2)
f(-2) = 11 + 6
f(-2) = 17
how can i reduce -8/-3
Answer: there are really too many options...
Step-by-step explanation:
If you just want to keep it in simplest fraction form, the negatives cancel, giving you 8/3
But if you want to make it a mixed number, the negatives still cancel and since three goes into eight twice, with two leftover, you get 2 2/3
But if you want to make it a decimal, eight divided by three gives you 2.6666 repeating
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