Answers
Answer:
The equation of the line is y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A line passes through points (2, -1) and (-3, 3)
∴ x1 = 2 ad y1 = -1
∴ x2 = -3 and y2 = 3
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{3--1}{-3-2}[/tex] = [tex]\frac{3+1}{-5}[/tex] = [tex]\frac{4}{-5}[/tex]
∴ m = [tex]-\frac{4}{5}[/tex]
→ Substitute the value of m in the form of the equation above
∴ y = [tex]-\frac{4}{5}[/tex] x + b
→ To find b substitute x and y in the equation by the coordinates of one
point of the given points
∵ x = 2 and y = -1
∴ -1 = [tex]-\frac{4}{5}[/tex] (2) + b
∴ -1 = [tex]-\frac{8}{5}[/tex] + b
→ Add [tex]\frac{8}{5}[/tex] t both sides
∵ -1 + [tex]\frac{8}{5}[/tex] = b
∴ [tex]\frac{3}{5}[/tex] = b
→ Substitute the value of b in the equation
∴ y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
∴ The equation of the line is y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
Related Questions
Helppp I’ll make u a brainlister
Answers
Answer:
108 deg
Step-by-step explanation:
Since sides DB and CD are congruent, then opposite angles are congruent.
m<C = m<B = 36
m<B + m<C + m<D = 180
36 + 36 + m<D = 180
m<D = 108
In an Animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs, how many cats are there?
Answers
Answer: 25:15
Step-by-step explanation: in the ratio 5:3 the 5 is dogs and the 3 is cats you multiply the 5 (aka the dogs) by 5 to get 25 (the amount of dogs in the shelter) when you multiply 3 by 5 you get the amount of cats which is 15, a good way to remember is what you do to one side you have to do to the other. I hope this helps.
Mackenzie built the small lego set it cost $5.49 Caleb built the large lego set how much do you think the large lego set cost
Answers
Answer:
Since there is no available data for the Lego set, it is safe to assume that the cost would be definitely higher than the small Lego set built by Mackenzie. For example, if the dimension of the small Lego set is 50 X 30 X 6 (length X breadth X height all in cm ) which cost Mackenzie $5.49.
On the other-hand, let assume that, the large Lego set built by Caleb is twice that of Mackenzie Lego set (that is 100 X 60 X 12 ), it could be found that, the cost for the large Lego set would cost minimum of $10.98
Step-by-step explanation:
Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?
Answers
Answer:
See Below
Step-by-step explanation:
Total no of students = 24
No of boys = 10
So, no of girls = 24 - 10 = 14
Ratio of boys to girls = 10/14 = 5/7 = 5 : 7
So the ratio of boys to girls should be 5 : 7 and not 5 : 12
4x-5y=0
8x+5y=-60
what is the answer by substitution or elimination?
Answers
33.For a car traveling at a constant speed, the distance driven, d
kilometers, is represented by d(t)=80t, where t is the time in hours. The
cost of gasoline, in dollars, for the drive is represented by C(d)=0.09d.
Evaluate C(d(10))
Answers
Given:
[tex]d(t)=80t[/tex]
[tex]C(d)=0.09d[/tex]
To find:
The value of [tex]C(d(10))[/tex].
Solution:
We have,
[tex]C(d(10))=C(80(10))[/tex] [tex][\because d(t)=80t][/tex]
[tex]C(d(10))=C(800)[/tex]
Now,
[tex]C(d(10))=0.09(800)[/tex] [tex][\because C(d)=0.09d][/tex]
[tex]C(d(10))=72[/tex]
Therefore, the value of [tex]C(d(10))[/tex] is 72.
Graph f( x)3/2 x= x+2
Answers
Answer:
I don't believe there is a slope or y-intercept for this expression.
Step-by-step explanation:
There is no vertical, horizontal or oblique asymptotes that I have found.
I hope this somewhat helped to answer your question.
A company manufactures plastic eggs, filling each egg with either a prize - a piece of candy -or no prize – a rock. Natasha’s father buys and hides dozens of the eggs in the garden. Natasha runs out and fills her basket with 10 eggs (the basket is small). Natasha’s father tells her that the manufacturer states that 67 percent of the eggs have a rock inside them. Natasha is the only person searching for eggs.
(A) Is the scenario above a binomial setting, a geometric setting, or neither? Fully justify your response, citing pertinent criteria for your answer.
(B) What is the probability that Natasha’s basket has exactly 7 eggs with rocks?
(C) What is the expected number of eggs with rocks that Natasha will have in her basket?
Answers
Answer:
[tex]\red{\underline{\underline{\sf{Answer :-}}}} [/tex]
There are three characteristics of a binomial experiment. There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials. There are only two possible outcomes, called “success” and “failure,” for each trial. The letter p denotes the probability of a success on one trial, and q denotes the probability of a failure on one trial.
p
+
q
=
1
. The n trials are independent and are repeated using identical conditions. Because the n trials are independent, the outcome of one trial does not help in predicting the outcome of another trial. Another way of saying this is that for each individual trial, the probability, p, of a success and probability, q, of a failure remain the same. For example, randomly guessing at a true-false statistics question has only two outcomes. If a success is guessing correctly, then a failure is guessing incorrectly. Suppose Joe always guesses correctly on any statistics true-false question with probability
p
=
0.6
. Then,
q
=
0.4
. This means that for every true-false statistics question Joe answers, his probability of success
(
p
=
0.6
)
and his probability of failure
(
q
=
0.4
)
remain the same.
The outcomes of a binomial experiment fit a binomial probability distribution. The random variable
X
=
the number of successes obtained in the n independent trials.
The mean,
μ
, and variance,
σ
2
, for the binomial probability distribution are
μ
=
n
p
and
σ
2
=
n
p
q
. The standard deviation,
σ
, is then
σ
=
√
n
p
q
.
Any experiment that has characteristics two and three and where
n
=
1
is called a Bernoulli Trial (named after Jacob Bernoulli who, in the late 1600s, studied them extensively). A binomial experiment takes place when the number of successes is counted in one or more Bernoulli Trials.
Johnny ran 18.28 meters in a football game. How many yards did he run?
Answers
Answer:
19.991251 yards
Step-by-step explanation:
Answer:19.69 yards
Step-by-step explanation:
I asked Siri nah I’m kiddin if one meter is about .91 meters you just have to add .91 to. 18.28
Maya has 120 caramel apples to sell. Each caramel apple is covered with one toppin.
Answers
they got sold by her
Step-by-step explanation:
lol she sold her apples to people
There are three times as many girls as boys in a school .Find an expression in term of x for the total number of student in school ,where x represent the number of boys in the school
Answers
Answer:
Total number of students = 4x
Step-by-step explanation:
Let the number of boys be x
Since, no of girls = 3 times the no of boys
So, number of girls = 3x
Total number of students = no of boys + no of girls
Total number of students = x + 3x
Total number of students = 4x
Answer:
The total number of students is 4x
Step-by-step explanation:
Hope this helped have an amazing day!
1. Natasha worked at a diner for $10per hour last week and already had $42 in her bank account? She paid $206 for a prom dress. The equations 206 = 42 + 10h represents this problem. How many hour did she work to pay for the prom dress?
2. Translate the following sentence into a mathematics equation. The sum of 10 and five time a number is the same as the difference of the number and 6
Answers
Answer:she worked 17 hours
Step-by-step explanation: 10×17=170+42=212
Answer:
She worked 16.4 hours
Step-by-step explanation:
What is the constant in the following expression? -8x^2+17y+19
Answers
Answer:
(x + 2) • (x - 19)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -38 = -38
Step-2 : Find two factors of -38 whose sum equals the coefficient of the middle term, which is -17 .
-38 + 1 = -37
-19 + 2 = -17 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -19 and 2
x2 - 19x + 2x - 38
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-19)
Add up the last 2 terms, pulling out common factors :
2 • (x-19)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-19)
Which is the desired factorization
Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
A) y =
1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5
Answers
Answer:
A. y=1/3x+1
Step-by-step explanation:
When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:
3=1/3*6+b
3=2+b
1=b
now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1
10 flowers in 5 vases = ? flowers per vase
Answers
Answer:
there are 2 in each vase
Answer:
2 flowers per vase
can you please answer the question tyy
Answers
Answer:
Step-by-step explanation:
What I can see from this are many things. First of all, the girls achieved a higher score than the boys since the girls got a higher mean then the boys. This means that if we were to take the average score of each gender, the girls got a higher score. To find the average/mean you need to find the sum of the data set then divide it with the number of data entries. The boys had a smaller range than the girls, which means that the scores the boys achieved were closer than the girls. The higher the range the more likely your data is scattered. The lower your range, the more likely your data is contained of similar numbers. You figure out the range but subtracting your highest data point from your lowest data point.
Help............................
Answers
Answer:
I think it is B, or the second one
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
In the diagram below AC is parallel to rp:
How many units? please help!
Answers
The perimeter of the triangle ABC will be 54 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In the diagram, AC is parallel to RP.
Then the triangle ABC and RBP will be similar.
Then the ratio of the corresponding sides will be constant.
BP / 10 = 7 / 14
BP = 5
Then the perimeter of the triangle ABC will be
Perimeter = 7 + 14 + 18 + 10 + 5
Perimeter = 54 units
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ1
So in an atom, are there the same number of protons as electrons??? If so, then how are some electrons and protons negative and positive. And also, what is the net charge??
***IK that this isn't a math question but no one answers in science . . .
Answers
Answer:
If an atom has the same number of protons and electrons then it is electrically neutral. Not all atoms have to have the same number of atoms because the number of electrons can be changed with the element remaining the same. Protons have a positive charge while electrons have a negative charge. The net charge is dependent on the number of protons and electrons. If it has more protons it would have a higher amount of positive charge therefore making it a positive net charge. The same thing applies with electrons just opposite.
If the atom has no charge (neutral) then there are the same number of protons and electrons. The positive protons cancel out with the negative electrons to produce this neutral state. We can say the net charge is 0 here.
Now if you take away one or more electrons, then there will be more positive protons to outnumber the negative electrons. Overall, the net charge will be positive. For example, if the atom loses 3 electrons, then you'll have a net charge of [tex]3^{+}[/tex]. These positively charged ions are known as cations. You pronounce this as "cat-ion" instead of "catshun".
On the flip side, if you add electrons to an atom, then you'll make the net charge overall to be negative. So let's say we add 4 electrons. We'll have the net charge be [tex]4^{-}[/tex] and this is an anion. To pronounce "anion" you would say "an ion" instead of "anyun".
cation = positively charged ion (less electrons compared to protons)anion = negatively charged ion (more electrons compared to protons)---------------
In short, the number of protons and electrons are the same if the net charge is 0 and we're not dealing with ions. If you are dealing with ions, then the two counts will not be the same. Note how in the examples above, I didn't change the number of protons. Doing so would change the overall element entirely.
do anybody know the answer
Answers
Answer:
A) 36
Step-by-step explanation:
So first we calculate the perimeter of the triangles. I can tell right away that it is a 3-4-5 triangle, so add 3+5+3+5=16 (not 4, since that is not on the outside). Then add the perimeter of the long side of the rectangle, so 10+10, then add to 16, so 36.
Driving 288 miles in 4 hours is a total rate of blank miles per hour. Need it fast
Answers
Answer:
Step-by-step explanation:
288 divided by 4 = 72
72X4=288
Hope it helps
Please help!!!!! will mark brainliest
Answers
Answer:
It should be B- an=3n+1 because it seems to be adding one every time
Step-by-step explanation:
Answer:
We will count number of squares
first term is 4
so,
second term is 7
so,
third term is 10
so,
We can see that this sequence is in arithematic sequence
we can use nth term formula
where
an is nth terms
a1 is first term
d is common difference
n is total number of terms
now, we can plug values
and we get
b 3n+1
Step-by-step explanation:
20. The Sanchez family wants to rent a boat for fall break.
Grand Canyon Boat Rental's is offering a boat for $25
per day and a $90 non-refundable deposit.
Superstition Boat's is offering a boat for $40 per day
and a $35 non-refundable deposit.
If the Sanchez family is planning on renting the boat for 6
days which company should they choose?
Answers
Answer:
superstition boat's
Step-by-step explanation:
25 x 6 + 90=240
40 x 6 + 35=275
In an obtuse triangle, the measures of two angles are 20° and 10°. What is the measure of the third angle?
Answers
Answer:
150 degrees
Step-by-step explanation:
180-20-10
Answer:
10 degrees
Step-by-step explanation: Because the highest number is the only number while the other number can be doubled.
When finding all the unknown values in similar right triangles you
have choices: you can use Proportional Relationships or the Pythagorean
Theorem. Which would you use for each of these examples, and why?
Find all the missing sides!
Answers
Answer:
sffsffrdffffgtgttgfftggggfhfffddgddgff
DOG has coordinates D(3,2), O( 2,-4), G(-1,-1) .A translation maps point D to D (2,4). Find the coordinates of O and G under the translation.
Answers
Answer:
If you're on edge and it's the multiple choice one it would be a
ASAP plz help me with this
Answers
Answer:
6
Step-by-step explanation:
Given this number line, DB = [?]
13 - 11 = x
11 - v = 7
13 - 11 = 2
2 = x
11 - v = 7
7 + 4 = 11
4 = v
v + x = ?
2 + 4 = 6
Given this number line, DB = [6]
"Seventeen more than the product of a number and -3 is less than -29" translate this inequality
Answers
Answer: -3x + 17 < 29
product means multiply, so we multiply -3 and x as seen in the answer.
the less than sign is <. to remember it: less than starts with L and the sign < looks like an L
Mary Catherine makes 2 gallons of punch for her party. How many quarts of punch did she make?
Answers
Answer:
8
Step-by-step explanation:
1 gallon equals 4 quarts so 4*2=8
Jonathan’s math test scores were 87, 93, 85, 62, and 95. What was his mean score?
Answers
Answer:
Jonathan's mean score is:
(87+93+85+62+95)/5
=422/5
=84.4