Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)
Answers
Answer:
The midpoint of the points (2,8) and (0,4) is given by:
(
2
x
1
+x
2
,
2
y
1
+y
2
)=(
2
2+0
,
2
8+4
)=(
2
2
,
2
12
)=(1,6)
We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
−3x+6y=5 (Subtract 3x on both sides.)
6y=3x+5 (Divide both sides by 6.)
y=
6
3
x+
6
5
y=
2
1
x+
6
5
The slope of our first line is equal to
2
1
. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is
x
1
.
The negative reciprocal of
2
1
is equal to −2, therefore, −2 is the slope of our line.
Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:
6=(−2×1)+b
6=−2+b
b=6+2=8
Substitute this value for b in the equation y=−2x+b:
y=−2x+8
Hence, the equation of the line is y=−2x+8.
Step-by-step explanation:
make me as brain liest
Related Questions
O SYSTEMS OF EQUATIONS AND MATRICES
Solving a word problem using a 3x3 system of linear equations....
Over the last 3 evenings, Latoya received a total of 96 phone calls at the call center. The second evening, she received 2 times as many calls as the third
evening. The third evening, she received 8 fewer calls than the first evening. How many phone calls did she receive each evening?
Answers
Answer:
Find the midpoint of the line segment joining the points R(,) and S(,).
Step-by-step explanation:
What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Answers
Answer:
96Step-by-step explanation:
Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)
4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)
= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96
HELP WITH MATH!!! 20 points
the questions are solving systems by substitution
Answers
Answer: 1. 2x-3y=-1 y=x-1 2. y=6x-11 -2-3y=-7 3. y=3x+5 5x-4y=-3
#1. 2x-3y=-1 and y=x-1
#2. y=6x-11 and -2x-3y=-7
#3. y=-3x+5 and 5x-4y=-3
HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box
Answers
-71 - 2y = 56
We add the 71 on both sides.
-2y = 126
Divide by -2 on both sides.
y = -63
There is no distinguishable slope in this because y equals an integer, not an expression that includes x or m, so the slope is zero.
Hope this helps! (:
Emma is 10 years younger than Joseph. Joseph's age 6 years from
now will exceed twice Emma's age 2 years ago by 3 years.
How old is Em ma and Joseph now?
Answers
Answer:
Step-by-step explanation:
let Emma age be x now
Let Joseph age be y now
If Emma is 10 years younger than Joseph, then x = y-10
six years from now:
Emma will be x+6 years
Joseph will be y+6 years
If Joseph's age 6 years from now will exceed twice Emma's age 2 years ago by 3 years, then:
y+6 = 2(x+6-2) + 3
y+6 = 2(x+4)+3
y + 6 = 2x+11
y + 6 = 2(y-10)+!1
y + 6 = 2y-20+11
y - 2y = -9-6
-y = -15
y = 15
Since x = y -10
x = 15-10
x = 5
Hence Emma is 5years old now and Joseph is 15years old now
The supermarket has 30 aisles. 60% are empty, without any shoppers. How many empty aisles are there in the supermarket?
Answers
Answer:
18
Step-by-step explanation:
to find the percentage of something you change the percent to a decimal and multiply it by the other number, so in this case you have 0.6*30 and you get 18.
hope this helped :))
6m + 4n + 3m - 6
What are the coefficient[s]? Separated them with a comma
Answers
Answer:
6,4,3
Step-by-step explanation:
A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything
Answer:
6,4,3, and -6
Step-by-step explanation:
These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.
PLEASE HELP ASAP
can you help me please
Answers
Pure acid is to be added to a 10% acid solution to obtain 99L of a 20% acid solution. which amounts of each should be used ?
Answers
Answer:
x = amount of 100% acid solution (pure acid, no water)
y = amount of 10% acid solution (acid + water)
both amounts are in liters
Step-by-step explanation:
Leon was asked to repaint the sign for his mother's ice cream shop, so he needs to figure out how much paint he will need. Determine the area of the ice cream cone on the sign. Round to the nearest tenth. 6 in 12 in.
Answers
Answer:
50.1
The area of the composite figure is 50.1
Trust me
A closet is 3 yards wide. What is its width in inches?
Answers
Answer:
The closet is 108 inches wide.
Step-by-step explanation:
Because 1 yard is 36 inches, and 36 times 3 is 108.
Which graph represents a function?
Answers
Factorise fully
-x - 8
please do quick! will mark brainiest!
Answers
Answer:
-(x+8)
Step-by-step explanation:
-x - 8
-1 *x -1 * 8
Factor out a -1
-1(x+8)
-(x+8)
Answer:
-1(x+8)1(-x -8)Step-by-step explanation:
[tex] - x - 8[/tex]
Factor out common term : -1
[tex] - 1(x + 8)[/tex]
What does ± mean in math?
I WILL MAKE YOU A BRAINLIEST AND YOU WILL RECEIVE 50 POINTS!!!
Answers
HELP PLEASE !!!!!!!!!!!!!!!!!!
Answers
Answer:
?
Step-by-step explanation:
Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)
Answers
Answer:
The coordinates of the midpoint of LB are (1, 3.5)
Step-by-step explanation:
The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
Let us use this rule to solve the question
∵ M is the midpoint of segment LB
∵ The coordinates of point L are (8, 5)
∴ x1 = 8 and y1 = 5
∵ The coordinates of point B are (-6, 2)
∴ x2 = -6 and y2 = 2
→ Substitute these values in the rule of the mid point above
∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]
→ Remember (+)(-) = (-)
∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]
∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]
∴ M = (1, 3.5)
∴ The coordinates of the midpoint of LB are (1, 3.5)
You decide to purchase a bond for $500. It pays 5% simple interest per year and matures in 5 years. How much interest will you earn once the bond matures? Round your answer to the nearest dollar.
Do NOT round until you have calculated your final answer.
Answers
Answer:
$625
Step-by-step explanation:
You start with $500
The interest per year is 5% or 500 x 0.05 = $25
If it matures 5 years and each year has an increase of $25 then
Year 1 - $525
Year 2 - $550
Year 3 - $575
Year 4 - $600
Year 5 - $625
Answer:
Step-by-step explanation:
We express the interest rate r in decimal form, so we have r=5%=5100=0.05. The principal is P=500 and the time in years is t=5. So, the interest is I=Prt=(500)(0.05)(5)=$125. The interest earned is $125.
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
a
How many hours would it take to fill the order if the number of working machines decreased by factor of 2?
Answers
Answer:
44 hours
Step-by-step explanation:
just do 22 x 2
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,325 and a standard deviation of $270. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $2,245 per month
Answers
Answer:
0.982
Step-by-step explanation:
Given that:
Mean (μ) = 2325
Standard deviation (σ) = 270
From the central limit theorem ; the Distribution of 50 sample means will be normally distributed
Finding the mean to be at least $2245 per month;
x = 2245
Using the Z score relation :
Zscore = (x - μ) / (σ/√n)
Zscore = (2245 - 2325) / (270/√50)
Zscore = - 80 / 38.183766
ZSCORE = - 2.0951312
= - 2.1
P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).
The following table shows the annual profits for two small florist shops what shop had the greater total profit? How much greater was its profit?
Plz answer ASAP I will mark u brainlyest this is my 5th time asking please answer
Answers
Answer:
Shop A & $400
Step-by-step explanation:
-4.7 + 27.5 + 122.3 = $145.1 (Shop A)
-0. 2 + 14.5 + 130.4 = $144.7 (Shop B)
Difference = 145.1 - 144.7 = $0.4
0.4 × 1000 = $400
Have a nice day / night :)
what is the value of x,if x=9-9/4
Answers
Answer:
X=6 3/4
Step-by-step explanation:
IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS
I have no idea how to do this
Answers
Answer:
it's ok!! thats why you have us!! we're here to help!
13/z
have a nice day!! also hope this helps!
Step-by-step explanation:
Answer:
13 on top
Z on the bottom
Step-by-step explanation:
6 plus 7 is 13
You measure the mass of a book and it’s 420.0890g how many significant digits are in the measurement
Answers
9514 1404 393
Answer:
7
Step-by-step explanation:
All of the digits in the given number are significant. There are 7 significant digits.
__
Comment on other cases
When there are non-zero digits to the left of the decimal point in a number with a decimal point, all of the digits are significant.
When there are no non-zero digits to the left of the decimal point, leading zeros are not significant. All digits following the leading zeros are significant.
In a number with no decimal point, the leading and trailing zeros are not significant.
If the number is written in scientific notation, all digits of the mantissa are significant. (This can be a way to ensure the correct number of significant digits is known in a number with trailing zeros.)
If A and B are independent events, which equation must be true?
Α.
P(B/A) = P(A)
B.
P(B/A) = P(B)
C.
P(B/A) = P(A) P(B)
D.
P(B/A) = P(A) + P(B)
Answers
Answer:
B. P(B/A)=P(B)
Is 17/5 + square root of 64 greater than 8 + pi?
Answers
Answer:
I'm probably wrong 69??? Yea I'm definitely wrong
Molly has 9 cups of flour. If this is 3/4 of the number she needs to make bread, how many cups does she need?
use a tape diagram by reading it backward, draw a tape diagram and label it unknown.
Answers
Answer:
She needs 12 cups of flour to make bread
Step-by-step explanation:
9 divided by 3 is 3. So you add 3 to 9 and you get 12. So yeah!
convert 0.00633 to a scientific notation
Answers
Answer:
6.33 × 10⁻³
Step-by-step explanation:
Scientific Notation: x.xx × 10ⁿ
We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.
Answer:
6.33 × 10[tex]^{-3}[/tex]
Step-by-step explanation:
** The negative three is supposed to be an exponent **
What is this expression equivalent to? Will Give Brainliest! Image is below.
Answers
Answer:
the correct answer is 4
7
Felicia is making trail mix. The recipe calls for 3 cups pretzels and 1.5 cups of m&m's.
She wants to make 27 cups of trail mix for a birthday party. How many cups of pretzels and m&m's does she need?
Answers
Answer:
81 Cups of Pretzels and 40.5 Cups of M&M's
Step-by-step explanation:
p= Pretzels
m= M&M;s
3p+1.5m= 1
3(27)+ 1.5(27)
81 + 40.5
A deep sea diver descended from a rock that is 45 feet below
Answers
A deep sea diver descended from a rock that is 45 feet below sea level to a coral reef that is 88 feet below sea level.
To find : How far did the diver descend from the rock to the coral reef.
Solution : We have given
A deep sea diver descended below sea level = -45 feet .
A coral reef that is 88 feet below sea level = -88 feet.
Because we take the negative value below sea level( 0 ).
Difference = -45 - ( - 88)
Difference = -45 + 88 = 43
Diver descended 43 feet from the rock to the coral reef.
Therefore, Diver descended 43 feet from the rock to the coral reef.
If that is your question...