What is an equation of the line that passes through the points (-6, -4)
and (-4, 0)?
Answer:
y=2x+8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (-6, -4) and (-4, 0).
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeLet's write the equation in slope-intercept form, which is the most common way to do it.
We'll need to start by finding the slope of the line
The formula for the slope calculated from two points is [tex]\frac{y_2- y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Even though we are already given two points, let's label their values in order to avoid any confusion and mistakes for later:
[tex]x_1=-6\\y_1=-4\\x_2=-4\\y_2=0[/tex]
Substitute these equations into the formula to find the slope (m):
m=[tex]\frac{y_2- y_1}{x_2-x_1}[/tex]
Substitute (remember: we have NEGATIVE numbers and SUBTRACTION, so we'll end up subtracting a negative):
m=[tex]\frac{0- -4}{-4--6}[/tex]
Simplify
m=[tex]\frac{0+4}{-4+6}[/tex]
Add the numbers together
m=[tex]\frac{4}{2}[/tex]
Divide
m=2
The slope of the line is 2
We can immediately plug it into the formula for slope-intercept form as m:
y=2x+b
Now we need to find b
As the equation passes through both (-6, -4) and (-4, 0), we can use either one of them to solve for b
Taking (-4, 0) for example:
Substitute -4 as x and 0 as y:
0=2(-4)+b
Multiply
0=-8+b
Add 8 to both sides
8=b
Substitute 8 as b into the equation
y=2x+8
Hope this helps!
An ice cream shop serves about 60 customers in one day. About how many customers does the ice cream shop serve in 40 days?
Answer:
2400
Step-by-step explanation:
60(customers/day) x40(days) = 2400 customers in 40 days
Anitha types 200 words in half an hour How many words will she type in 12 minutes , if typing speed remains the same
Answer:
she'll type 80 words.
Step-by-step explanation:
200/x=30/12
x=(200×12)/30=80
6.0 x 10^6 in scientific notation
Answer:
6,000,000
Step-by-step explanation:
the amount of 0's you add is one less than the exponent listed (for example, the exponent here is 6, so add 5 0's)
4. What are the last TWO DIGITS of 2^2017
a Explain how you found the last 2 digits of 2^2017
b. Show how you found the last 2 digits of 2^2017
Compute 2²⁰¹⁷ modulo 100.
From the given table,
2²² ≡ 2⁴² ≡ 2⁶² ≡ 4 (mod 100)
and we have
2017 = 32 • 62 + 33
62 = 1 • 42 + 20
Then
2²⁰¹⁷ ≡ (2⁶²)³² • 2³³ (mod 100)
2²⁰¹⁷ ≡ 4³² • 2³³ (mod 100)
2²⁰¹⁷ ≡ (2²)³² • 2³³ (mod 100)
2²⁰¹⁷ ≡ 2⁶⁴ • 2³³ (mod 100)
2²⁰¹⁷ ≡ 2⁶² • 2²² • 2¹³ (mod 100)
2²⁰¹⁷ ≡ 4² • 2¹³ (mod 100)
2²⁰¹⁷ ≡ (2²)² • 2¹³ (mod 100)
2²⁰¹⁷ ≡ 2⁴ • 2¹³ (mod 100)
2²⁰¹⁷ ≡ 2¹⁷ (mod 100)
and from the table, we get
2²⁰¹⁷ ≡ 2¹⁷ ≡ 72 (mod 100)
PLS HELP ALSO CHECK OUT MY LAST QUESTIONEACH ONE IS 20 POINTS!!!!
a scuba diver descended at a rate of 2 1/4 feet per second. I f 0 reprasents the serface of the water and distance below the serface is negative, which expression reprasents one way to calculate the location of the diver after 12 have a half (12 1/2) seconds?
A. 12 1/2 - 2 1/4
B. 12 1/2 + 2 1/2
C. 12 1/2 x 2 1/2
D. 12 1/2 x (-2 1/4)
Answer:
D
Step-by-step explanation:
Non of the other answers have negatives in them. And you would solve with multipliation.
It's D. Look at the one above me.
helpppppp plss thanks
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups. Group startsTrue or False
Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups is False
Univariate statistical tests are statistical test that are used to observe a single variable. We can have one or more independent variables but we study only one dependent variable.
So, univariate statistical tests are not most appropriate for testing hypotheses that compare the characteristics of two groups.
So, Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups is False
Learn more about univariate statistical tests here:
https://brainly.com/question/13415579
Of the pies that Lorenzo's Pie Shop sold last month, 1/2 were blueberry pies and 2/5 were blackberry pies. What fraction of the pies sold were either blueberry or blackberry?
graph :
x > - 3 and y < 1
Answer:
Step-by-step explanation:
i dont know if this helped u but if it did let me know
how do you turn radius into cm
Answer:
depending on the question I suggest only converting at the end
sorry if it doesn't help
by the way a cm needs to be times by 100 to become a meter
How to solve this? :)
Step-by-step explanation:
by understanding how a number actually works.
when I write e.g. the number 2648, what did I actually tell you ?
that there is a value or quantity that is
8×10⁰ + 4×10¹ + 6×10² + 2×10³
every number you or anybody else has ever written represented this type of information.
so, now we have a 2-digit number : xy
its value is : y×10⁰ + x×10¹
and because 10⁰ = 1 and 10¹ = 10, this is simply
x×10 + y or 10x + y
the description tells us that
|x - y| = 2
and that xy + yx = 132
that means
10x + y + 10y + x = 132
11x + 11y = 132
we can divide by 11 and get
x + y = 12
like 8+4 or 9+3.
and we know the difference between x and y is 2
like 6 and 4, or 1 and 3.
normally we should know the solution already (I do), but let's finish it formally.
we use one scenario of the absolute value equation :
x - y = 2
x = y + 2
and we use this in the second equation :
y + 2 + y = 12
2y + 2 = 12
2y = 10
y = 5
x = y + 2 = 5 + 2 = 7
the same, just with reversed positions, is the result when using
y - x = 2
so, we get actually 2 solutions that fulfill the requirement : 75 and 57, as they are both also the reverse number to the other.
What is the square root of r^64
Answer:
the answer is 8
Step-by-step explanation:
because the (8)²is 8×8is 64
Points S, Q, R, and T all lie on the same line; Given. Arrows are drawn from this statement to the following three statements. Statement 1: The measure of angle SQT equals 180 degrees; Reason 1: Definition of a Straight Angle. Statement 2: The measure of angle SQV plus the measure of angle VQT equals the measure of angle SQT; Reason 2: Angle Addition Postulate. Statement 3: The measure of angle SQV plus the measure of angle VQT equals 180 degrees; Reason 3: Substitution Property of Equality. Lines UV and WZ are parallel; Given. An arrow is drawn from this statement to the following statements. Statement 4: The measure of angle VQT plus the measure of angle ZRS equals 180 degrees; Reason A. Statement 5: The measure of angle SQV plus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS; Reason B. An arrow also points from Statement 3 to Statement 5. An arrow from Statement 5 points to the following statements. Statement 6: The measure of angle SQV plus the measure of angle VQT minus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS minus the measure of angle VQT, the measure of angle SQV equals the measure of angle ZRS; Reason C. Statement 7: The measure of angle SQV is congruent to the measure of angle ZRS; Definition of Congruency.
Which theorem accurately completes Reason A?
Alternate Interior Angles Theorem
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
Same-Side Interior Angles Theorem
9514 1404 393
Answer:
(d) Same-Side Interior Angles Theorem
Step-by-step explanation:
Of the offered choices, only one deals with supplementary angles:
Same-Side Interior Angles Theorem
_____
A diagram would be helpful. We have to assume here that WZ passes through R, and that Z is on the same side of ST as is V. If that is not the case, then the problem makes no sense.
Please help, I would really appreciate it.
Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number
The unknown number expressed as a mixed fraction is 11 19/20
Let the unknown number be "x"
The sum of the number and 1.75 is expressed as x + 1.75
Half the sum of a number and 1.75 is 1/2(x+1.75)
Equating the result to -5.1 wil give:
1/2(x+1.75) = -5.1
Solve the resulting equation
x + 1.75 = 2(-5.1)
x + 1.75 = -10.2
x = -10.2 - 1.75
x = 11.95
x = 1195/100
x = 11 95/100
Hence the unknown number expressed as a mixed fraction is 11 19/20
Learn more here: https://brainly.com/question/14583740
Answer
-11 19/20
I took the test and got it right!
. Mrs. Jackson needs to earn $3,000 a
month. How much does she need to sell if
she earns 15% commission on everything
she sells?
Answer:
20000
Step-by-step explanation:
Answer:
20000
Step-by-step explanation:
Bobbi wanted to purchase a shirt that had an original price of $38.99 at the store where she works. She gets an employee discount of 25%. How much will she need to pay for the shirt?
Answer:
29.2425
Step-by-step explanation:
25%=0.25
38.99 * 0.75 = 29.2425
x=-5y+2
x=3y-2
elmantion or substutuion
Answer:
y = 1/2
Step-by-step explanation:
x = -5y+2
x=3y-2
substitute for x ans solve
3y-2=-5y+2
8y-2=2
8y = 4
y= 4/8
y=1/2
If 15 & 36 are two sides of a right triangle what other number makes a Pythagorean Triples.
Answer:
39
Step-by-step explanation:
15^2 +36^2 = c^2
225 + 1296 = 1,551
√1551 = 39
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
1
Step-by-step explanation:
"exceeds"= greater than
d is greater than 7 hours
d > 7
What is the slope of the line with equation 2x−5y=52?
Answer:
m = 2/5
Step-by-step explanation:
2x - 5y = 52
-5y = -2x + 52
y = 2/5x - 52/5
The slope of the line with equation 2x−5y=52 is 2/5.
The given equation of line is 2x−5y=52.
What is the slope of a equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
The given equation 2x−5y=52 can be rewritten as
2x-52=5y
⇒ y = 2x/5-52/5
Now, compare y = 2x/5-52/5 with the standard form of an equation y=mx+c
So, m=2/5
Therefore, the slope of the line with equation 2x−5y=52 is 2/5.
To learn more about the slope of an equation visit:
https://brainly.com/question/13496015.
#SPJ2
Korey completely covered a square counter top using 103.5 ftof tile without any overlap.
Which measurement is closest to the side length of this counter top in feet?
10 ft
O 11 ft
O 27 ft
O 55 ft
Answer:
10 ft
Step-by-step explanation:
10² = 100
11² = 121
Answer: 10 ft
Given: F(x)=3 x^2 + 1, G(x)= 2 x-3 , H(x)=x
F(G(x))=
Answer:
f(g(x)) = 12x² - 36x + 28
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x) )
= f(2x - 3)
= 3(2x - 3)² + 1 ← expand factor using FOIL
= 3(4x² - 12x + 9) + 1 ← distribute parenthesis by 3
= 12x² - 36x + 27 + 1 ← collect like terms
= 12x² - 36x + 28
Find the nth term of this quadratic sequence 4, 7, 12, 19, 28
Answer:
The answer is 84
Step-by-step explanation:
4,7,12,19,28,39,52,67,84
Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A = lw + 0.5bh. Solve for b.
Answer:
You need more information for this question to be solved.
Step-by-step explanation:
Are any of the variables given?
what is this matrix called
[2,5,6]
Answer:
The dimension of a matrix is indicated with R × C where R is the number of rows in the matrix and C is the number of columns. When a matrix has the same number of rows as columns, then it's a square matrix. Matrices with just one row are called row matrices, and those with only one column are column matrices.
Can someone please help me solve this please
Step-by-step explanation:
j(x) = 2x + 9
=> 2x + 9 = j(x)
=> 2x = j(x) - 9
=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29
2. Connor went to the carnival with S22.50. He bought a hot dog and a drink for $3.75, and he wanted to spend
the rest of his money on ride tickets which cost $1.25 each. What is the maximum number of ride tickets that he
can buy?
A. Define the variable.
B. Write tire inequality.
D. Write your conclusion/final answer.
C. Solve for the number of weeks that Keith can
withdraw money from his account.
Answer:
15
Step-by-step explanation:
what is 2 2/3×3 1/4 as a fraction form
Answer:
8 2/3
Step-by-step explanation:
2 2/3×3 1/4
Change to improper fractions.
2 2/3=8/3
3 1/4=13/4
8/3x13/4=26/3
=8 2/3
Hope this helps :)