Answers
Answer:
Step-by-step explanation:
A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2
Equation of a line AB is
((y-y1) = m(x-x1)
y - 7 = 2(x-1)
y - 7 = 2x-2
y = 2x + 5
Answer:
y = 2x +5
Step-by-step explanation:
Equation of a line
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The image provides two points A(1,7) and B(-3,-1), thus the slope is:
[tex]\displaystyle m=\frac{-1-7}{-3-1}[/tex]
[tex]\displaystyle m=\frac{-8}{-4}[/tex]
m = 2
Now we apply the point-slope form taking the point (1,7):
y - 7 = 2 ( x - 1 )
Operating:
y - 7 = 2x - 2
Adding 7:
y = 2x +5
Related Questions
To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume. How many millilitres of water should she add to make 637 mL of lemonade?
Answers
Answer:
546 mL of water
Step-by-step explanation:
To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume.
Let the amount of water is 6x and that of lemon juice is x.
ATQ,
6x+x = 637
7x = 637
x = 91
Amount of lemon juice = 91 mL
Amount of water = 6x = 6(91) = 546 mL
So, 546 mL of water she should add to make 637 mL of lemonade.
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answers
9514 1404 393
Answer:
7/3
Step-by-step explanation:
The point at the right end of segment 5 is 7 units above and 3 units to the right of the point at the left end. The slope is the "rise" divided by the "run":
slope = m = rise/run = 7/3
The slope of segment 5 is 7/3.
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
Is it a solution?
Yes
No
(-3.2)
(8,9)
(-3,0)
(-2. – 8)
Answers
Answer:
(-2.-8) is the answer to the question
The solution of the inequality equation 7x - 4y < 18 will be (-2, -8) and yes, it has a solution.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
The equation is satisfied by the point (-2,– 8). Then we have
7x - 4y = 18
7(-2) - 4(-8) = 18
-14 + 32 = 18
18 = 18
More about the inequality link is given below.
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The vertex of the parabola is (1,6).
Y=x^2- 2x - 5
O True
O False
Answers
Answer:
true ig
Step-by-step explanation:
gfsetghdfr
CAN SOMEONE HELP IM SO CUNFUSED
Answers
Answer:
m = 1/3
Step-by-step explanation:
Answer:
Slope can be indentified by looking t how much a point has gone up/down and to the right/left. An example can be a point at 0,0 and a point at 1,1
from 0,0 to 1,1 it goes 1 units up and 1 unit right. Therefore the slope is 1/1 or just 1.
So to find this answer we could graph the points or just find out how many units it takes from going up/down and right/left to get from (-2, 1) to (7, 4)
From -2 to 7 is 9 units and from 1 to4 is 3 units
The slope is rise/run meaning the distance u moved in height over he distance moved right/left. Therefore the slope is 3/9 which is 1/3
Step-by-step explanation:
rashi borrowed rs 12000 from a bank . if the bank charges interest at the rate of 11 percent p.a. what amount will he pay to bank at the end of 3 years
chapter in math is comparing quantities need answer fast
will give full stars
Answers
Answer:
INTEREST=Rs 3960
Step-by-step explanation:
INTEREST=PTR/100
INTEREST=12000*3*11/100
INTEREST=3960
Answer:
rs 16411.57
Step-by-step explanation:
12000×11%÷100=1320
1320+12000=13320×11%÷100=
1465.20+13320=14785.20
14785.20×11%÷100%=1626.37
1626.37+14785.20=16411.57
Ans =16411.57
Farmer collected 225 eggs from his 25 chickens. If each chicken laid the same how much would each chicken had laid
Answers
Answer:c
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
225 divided by 25 is 9.
it is due in very soon and i don’t wanna fail math. can someone plz help. :/
Answers
Answer:
y= -1 , 0 , y = -2
x= 10 , infinity , x = 7
x= -4 , infinity , x= 7
What is the image of (7,8) after a reflection over the line y = –x
Answers
Answer:
(-7. -8) Just flip the signs.
Answer:
[tex]\boxed {\boxed {\sf (-8,-7)}}[/tex]
Step-by-step explanation:
When a point is reflected over y=-x, the following change occurs:
[tex](x,y)[/tex] ⇒ [tex](-y, -x)[/tex]
We are given the point (7,8).
Essentially, we change the signs for both coordinates, then flip the x-coordinate and y-coordinate.
1. Change the signs
[tex](7,8)[/tex] ⇒ [tex](-7,-8)[/tex]
2. Flip the x and y coordinates
[tex](-7,-8)[/tex] ⇒ [tex](-8,-7)[/tex]
So the image of (7,8) after a reflection over y=-x is (-8,-7)
Please help meh im so bad at this stuff lol
Answers
Answer:
40 Baskets
Step-by-step explanation:
4 baskets = 1/2 hour
? baskets = 5 hours
This means, 8 baskets = 1 hour
8 x 5 = 40
Therefore,
40 baskets = 5 hours
Answer:
40/1 baskets
Step-by-step explanation:
I need someone’s help please I don’t know this that well
Answers
Answer:
raiz de 84 = 9.16
Step-by-step explanation:
la ubicacion que debes de poner es en la primera linea que te anexe en la linea
What is the answer to 4^8/4^3 in 4^n form
Answers
Answer:
4^5
Step-by-step explanation:
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[tex] \frac{ {4}^{8} }{ {4}^{3} } = {4}^{8} \div {4}^{3} = {4}^{8} \times {4}^{ - 3} = \\ [/tex]
[tex] {4}^{8 - 3} = {4}^{5} [/tex]
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» What is 2 to the power of 0? Submit
Answers
Answer:
1
Step-by-step explanation:
Answer:
2⁰ power is equal to 1
Step-by-step explanation:
Any number with the exponent of 0 will always equal 1, no matter what the number is. Hope it helps!
7. Serene paid $35.01 to buy 9 hot dogs. How much did each hot dog cost?
Answers
Answer:$3.89
Step-by-step explanation:
divide 35.01 by 9 and then you get the answer $3.89
Please answer this correctly, and you'll recieve brainliest, Answers below:
28=14=0.25
63=21=2
82=41=4
36=12=0.5
Answers
I believe the scale factor would be 4, seeing as the length of triangle a's bottom side is 2, and triangle b's bottom side is 8.
please tell me the answer
Answers
PLS HELP ME?? The blue dot is what value on the number line?
Answers
Answer:
-3
Step-by-step explanation:
since it is a gap of 6 the first one gave ...so 3-6=-3
is y=.75x+2 proportional or non proportional
Answers
Answer:
non proportional
Step-by-step explanation:
Which equation represents a proportional relationship?
a y = 7x – 3
b y = 150x
c y = 21x
d y = 2x + 1
Answers
I am not certain but I think c? if its wrong sorry
At local parks, bikes can be rented through Clarksville B-Cycle. They charge a $3 fee plus $2 an hour for renting a bike. Ryan's total bill for one day was $15 to rent a bike. How many hours did he have the bike checked out?
Answers
Answer:
7
Step-by-step explanation:
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
w= -12
Step-by-step explanation:
okay I understood it now. Here you go.
You’re welcome :)
Answer:
w= -12
Step-by-step explanation:
x both sides by 24
4w + 15 + -33
move the constant to the right and change its sign
4w= -33 -15
calculate the difference ...
4w = -48
divide both sides by 4
w= -12
Complete Eduardo's definition of parallel lines: "If two coplanar lines are both perpendicular to a third line in the same plane, all of the angles formed between the two lines and the third line are "Explain your answer.
Answers
A rectangle has a length that is 12 ft longer
than its width. If its perimeter is 84 ft, what
are the dimensions of the rectangle? Write
a system of equations representing the
situation and then find the dimensions to
obtain full credit.
Answers
Six girls of differing heights are arranged in 2 rows of 3 each. Each girl is taller than the girl in front of her and also taller than the girl to her right. How many arrangements of the six girls are possible?
Answers
Answer:
5 possible ways
Step-by-step explanation:
Questions like this are a bit technical. Therefore, there are no perfect formula, all you have to do is picture the scene and count. Having said that. Let us use name the positions the girls are standing according to the question:
D E F
A B C
I have arranged this according to how the question has specified, meaning F is the tallest and A is the shortest if I take F to be at the back right and A to be at the front left.
In reality, A and F can never change their positions if we maintain the arrangement specified.
What we have left is to look for how to rearrange, D, E, B and C that will still make it fit the arrangement. Take note that E cannot be in front of B because she is taller than B.
Since positions for shortest and tallest are fixed, you are left with 4 people and you need two of them for the front position. This can be gotten using 4C2 = 6, but the two tall persons can't be in the front else it will disrupt the arrangement, so we have to eliminate that case which will occur once, therefore we have 5 possible ways we can make the arrangements as required.
There are two polygons. The larger one has three times as many sides as the smaller one.
Its angle sum is four times as big. How many sides does the smaller polygon have?
Answers
Answer:
Step-by-step explanation:
There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?
“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.
Its angle sum is four times the smaller one’s. This applies to interior angles.
A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.
A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.
So start at 9.
7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.
18 fits that description.
The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.
18÷6=3, so we have a solution. The smaller polygon can be a hexagon.
We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).
So the 30-gon:
28×180=5040
5040÷4=1260
1260÷180=7
7+2=9
9×3=27
Off by 3.
The 42-gon:
((((((42–2)×180)÷4)÷180)+2)×3)=36
Off by 6. It will keep getting farther away, so we have a unique solution.
Divide. Write your answer as a fraction or mixed number in simplest form.
10 • 3 3/4
Answers
Answer:
37 1/2
Step-by-step explanation:
before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.
The required solution to the given expression is 37 1/2 in mixed number form.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To determine the evaluation of expression 10 ÷ 3 3/4
When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.
Thus, the required solution to the given expression is 37 1/2 in mixed number form.
To learn more about the division operation click here :
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HEEEEEEEEEEELPkjbflakbeiufakebslkja
Answers
Answer:
The answer is 20 feet..
While hiking, Diego drank 2¼ liters of water. Lin drank 1⅗ liters of water. How much more did Diego drink than Lin?
Answers
Answer: 13/20
Step-by-step explanation:2 1/4 - 1 3/5 = 13/20
Answer:
13/20
Step-by-step explanation:
A cow is eating green grass that grows in a field.
Which type of organism is the grass in this scenario
consumer
decomposer
prey
producer
Answers
A cow is eating green grass that grows in a field. The grass in this scenario is the producer.
'This is a basic food chain. The grass is a living organism that utilizes energy from the sun to make its own food through an interaction called photosynthesis. Then, different creatures eat the grass; it is their wellspring of energy.
Every living organism (plants and creatures) should eat food for the endurance of some sort or another. Plants make their own food through an interaction called photosynthesis. Using the energy from the sun, water, and carbon dioxide from the air and nutrients, they artificially make their own food. Since they make or produce their own food they are called makers.
Organisms that don't make their own food should eat either plants or creatures. They are called buyers. A few creatures get their energy from eating plants while different creatures get energy in a roundabout way from plants by eating different creatures that previously ate the plants.
Creatures that eat just plants are called herbivores. Creatures that eat the two plants and other creatures are called omnivores. Creatures that eat just different creatures are called carnivores.
A few creatures eat just dead or decaying materials and are called decomposers.
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Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling
Answers
Answer:
this copy and paste is to hard to read making it impossible to solve sorry.
Step-by-step explanation:
The value of the expression is 256.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is $x^{6} + (y^{2} \div z^3)\cdot w^3$
⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]
Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,
⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]
⇒ [tex]64+(\frac{81}{27} )(64)[/tex]
⇒ [tex]64+(3)(64)[/tex]
⇒ [tex]64+192[/tex]
⇒ [tex]256[/tex]
Hence we can conclude that the value of the expression is 256.
Learn more about simplification of an expression here
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