Answer:
[tex]m=\frac{1}{6}[/tex] (Parallel)
[tex]m=-6[/tex] (Perpendicular)
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{-3-(-2)}{1-7}[/tex]
[tex]m=\frac{-3+2}{-6}[/tex]
[tex]m=\frac{-1}{-6}[/tex]
[tex]m=\frac{1}{6}[/tex]
A parallel line always has the same slope as the original.
[tex]m=\frac{1}{6}[/tex] (Original)
[tex]m=\frac{1}{6}[/tex] (Parallel)
A perpendicular line always has the negative reciprocal slope of the original.
[tex]m=\frac{1}{6}[/tex] (Original)
[tex]m=-6[/tex] (Perpendicular)
Help me pleaseeee...
Answer:
90
Step-by-step explanation:
PVQ = 60 an RVS = 30, 60 + 30 = 90
The points (5,-2) and (7,r) lie on a line with slope 4. Find the missing coordinate r.
Answer:
A slope of four means that it moves up four and over 1. Since 7-5 is 2, you must half the 1. (7, 2.5)
What is the greatest number that will divide 307 and 330 having the reminder 3 qnd 7
Answer:
19.
Step-by-step explanation:
Answer:
The required number = 19
Step-by-step explanation:
307 - 3 = 304
330 - 7 = 323
Find GCF of 304 & 323
304 = 2* 2 *2 * 2 * 19
323 = 17 *19
HCF = 19
The required number = 19
When you divide 307 by 19, you will get an remainder 3
When you divide 330 by 19, you will get an remainder 7
Simplify by combining like terms. 3x3 + 9z + 2x3 + 5z + 6x2
Answer:
5x^3 + 6x^2 + 14z
Step-by-step explanation:
When combining like terms with exponents, you just add them together as long as they have the same exponent. 3x^3 + 2x^3 = 5x^3
9z+5z=14z
6x^2 has no like terms.
Plz help due today!!!
Answer:
55 is c
Step-by-step explanation:
what number times 4 equals 20? ...5
so times 11 and 5 and you'll get 55
Answer:
c=55
20/4 is 5
11*5=55
find the midpoint of the segment with the following endpoints. (6, 3) and (0, 9)
Answer:
(3,6)
Step-by-step explanation:
In order to find midpoint you need to add x1 + x2 then divide by 2. Then the same for y. y1 + y2 then divide by two.
In this case we have 6 + 0 = 6 then divide by 2 which is 3.
Then we have 3 + 9 = 12 then divide by 2 which is 6.
29.24/0.153 is what?
Answer:
191.111111111
Step-by-step explanation:
29.24 / 0.153 =191.111111111
In the past month, Ashley rented 3 video games and 1 DVD. The rental price for each video game was $2.70. The rental price for the
DVD was $3.30. What is the total amount that Ashley spent on video game and DVD rentals in the past month?
Answer:
$11. 40
Step-by-step explanation:
(3×2.70)+3.30=8.10+3.30=$11.40
Answer:
11.40 dollars
Step-by-step explanation:
(2.70*3)+(3.30*1)=
8.10+3.30=
$11.40
Solve for z. Assume the equation has a solution for z, -p.(d+z) = -2z+59
Answer:
[tex]z = \boxed{ \frac{59 + pd}{2 - p} }[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Expanding/FactoringStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle -p(d + z) = -2z + 59[/tex]
Step 2: Solve for z
[Distributive Property] Distribute -p:∴ we have solved the given equation for z.
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Learn more about Algebra I: https://brainly.com/question/16452009
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Topic: Algebra I
lindsay has 7/8 yards of fabric. to make a purse, she needs 2/3 of the fabric how much fabric did she use?
Answer:
Lindsay used 16/24 yards of fabric and has 5/24 yards left over
Step-by-step explanation:
7/8 - 2/3 = ?
Since both fractions have unlike denominators, we are gonna have to rewrite the fractions so we can subtract. We are gonna find the least common denominators, to be able to subtract.
(7/8 x 3/3) - (2/3 x 8/8) = ?
Complete the multiplication and the equation becomes :
21/24 (7/8) - 16/24 (2/3) = 5/24
Help :^ ;^;^;^;^;^;^;
Answer:
d = 0
Step-by-step explanation:
cancel equal terms on both sides of the equation
= 8d = 6d
move variable to the left and change its sign
8d - 6d = 0
2d = 0
divide both sides of the equation by 2
d = 0
Answer:
d = 0
Step-by-step explanation:
-7 and -7 cancel out
8d = 6d
collect like terms 8d - 6d
8d-6d=0
2d = 0
divide both sides
d=0
Amy wants to enlarge a rectangle with sides 9 and 12 inches. If
the shorter side of the new rectangle is 135 inches, how long will
the longer side be?
Answer: the longer side will be 180 inches.
Step-by-step explanation:
We are given that the rectangle has the sides, 9 inches and 12 inches . This means that the shorter side is 9 inches.
It has to been enlarge, meaning that it has gotten bigger to 135 inches.
This also means that it was multiplied by a number to get 135.
So divide 135 by 9 to find the number it was multiplied by, and multiply that number by 12 to find the length of the longer side.
135 / 9 = 15
12 * 15 = 180
This means the larger side is 180 inches.
Simplify 28/72 please real quick I need help
Answer:
7/18
Step-by-step explanation:
[tex]\frac{28}{72} /\frac{4}{4} =\frac{7}{18}[/tex]
7 is prime, so this can not be simplified further (since 18 is also not divisible by 7).
The graph of the equation h=-at^2+bt+c, which describes how the height, h, of a hit baseball changes over time, t, is shown below.
Answer:
K
Step-by-step explanation:
Quadrants I, II, and III.
Answer:
k
Step-by-step explanation:
Solve −3.5 = x 4 for x using the multiplication property of equality. x=
Answer:
The operation in the problem is
Division
The inverse operation is
Multiplication
-14 = x
Step-by-step explanation:
1. Division
2. Multiplication
3. -14
A 300-g package of pepperoni costs $4.29.
a) What is the cost per 100 g?
b) How much would 1 kg cost?
c) How much pepperoni could you buy with $20?
Answer:
a. $1.43 per 100 gram
b. $10.43 for a kilogram (1000 grams)
c. 1 kilogram and 398 grams, or 1398 grams
Step-by-step explanation:
-11x - 7y = -56, solve for y (must be in form y = mx + b)
Answer:
y= -11/7x+8
move variables to the right hand side and change its sign
-7y=-56+11x
change the signs on both sides of the equation
7y=56-11x
divide both sides by 7
y=8-11/7 x
reorder the terms and get y= -11/7x+8
Tina runs 7.2 miles every day. James runs 2.7 miles every day. How much farther does Tina run than
James? Explain how you used mental math to determine the difference.
First,
2.7 to get . Then find 7.2 -Finally,
the difference to
find that Tina runs miles farther than James every day.
Answer:
she runs 5.5 more then james
Step-by-step explanation:
What is the difference of the polynomials below?
(2x²-3x+8)-(3x²+7x--2)
A)-x²-4x+10
B)-x²-10x+10
C)5x²+4x+6
D)x²-10x+10
Answer:
B
Step-by-step explanation:
(2x² - 3x + 8) - (3x² + 7x - 2)
~Distribute the negative sign
2x² - 3x + 8 - 3x² - 7x + 2
~Combine like terms
-x² - 10x + 10
Best of Luck!
Select the THREE true statements.
Your answer:
A. Dilations always increase the length of line segments.
B. Dilations take perpendicular lines to perpendicular lines.
C. Dilations of an angle are congruent to the original angle.
D. Dilations increase the measure of angles.
E. Dilations of a triangle are congruent to the original triangle.
F. Dilations of a triangle are similar to the original triangle.
Answer:
B. Dilations take perpendicular lines to perpendicular lines.
C. Dilations of an angle are congruent to the original angle.
F. Dilations of a triangle are similar to the original triangle.
Bernardo is saving up money to pay off a debt. His father loaned him $90 and is charging him $1 interest each day. Bernardo earns $20 a day mowing lawns. He only wants to use half of his daily earnings to pay off his debt. How many days will it take io so eliminate what the son owes his father.
Answer:
It will take 10 days
Step-by-step explanation:
Here, we want to know the number of days it will take for Bernardo to clear the debt he owes his father.
We proceed as follows;
Let the number of days be x
So after x days, there will be an interest of x * 1 = $90
So the amount of money he owes his father after x days will be $(90 + x)
After x days, the amount he would have earned from mowing lawns will be x * 20 = $20x
He intend using half of this to clear the loan
Half of this is 20x/2 = $10x
We know that this amount is enough to clear the loan, so we equate this value to the amount he wants to use to clear the loan
So;
90 + x = 10x
90 = 10x - x
9x = 90
x = 90/9
x = 10
Plz help I will mark you brainlist plz
An electrician charges $53 per hour and his apprentice charges $22 per hour. On a job wiring a house the electrician worked four hours more than the apprentice. Together they earned a total of $624.50 for the job. How much did the election earn for the rewiring?
Answer:
$503.5Step-by-step explanation:
let the apprentice duration of work be x hours
so that the electrician worked (x+4)hours
53*(x+4)+22*x=624.50
opening the bracket we have
53x+212+22x=624.50
collect like terms we have
53x+22x+212=624.50
75x+212=624.50
75x=624.50-212
75x=412.5
divide both sides by 75 we have
x=412.5/75
x=5.5
The electrician worked a total of (x+4)
5.5+4=9.5 hours or 9hours 30min
given that the electrician earns $53 per hour
then,for the work he would make 53*9.5=$503.5
[tex]2a { }^{2} b {}^{2} - 7ab - 30[/tex]
Answer:
(ab - 6)(2ab + 5)
Step-by-step explanation:
Assuming you require the expression factorised.
2a²b² - 7ab - 30
Consider the factors of the product of the coefficient of the a²b² term and the constant term which sum to give the coefficient of the ab- term
product = 2 × - 30 = - 60 and sum = - 7
The factors are - 12 and + 5
Use these factors to split the ab- term
= 2a²b² - 12ab + 5ab - 30 ( factor the first/second and third/fourth terms )
= 2ab(ab - 6) + 5(ab - 6) ← factor out (ab - 6) from each term
= (ab - 6)(2ab + 5) ← in factored form
Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lie. Use Chebyshev's theorem. Hint: You should memorize that when k is 2, it is 75% and when k is 3 it is 88.89%. Also convert hours to minutes and state your answer in minutes.
Answer:
84 minutes to 276 minutes
Step-by-step explanation:
Chebyshev's theorem states that:
At least 3/4(75% ) of data falls within 2 standard deviation from the mean - that means between μ - 2σ and μ + 2σ
At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .
Where k > 1 , 1 - 1/k²
k is 2, it is 75% and when k is 3 it is 88.89%
Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lies
Step 1
Convert 3 hours to minutes
1 hour = 60 minutes
3 hours = x
Cross Multiply
= 3hours × 60 minutes/1 hour
= 180 minutes
We know from Chebyshev's theorem that:
At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .
Hence
μ = 180 minutes, σ =32 minutes
μ – 3σ
= 180 - 3(32)
= 180 - 96
= 84 minutes
μ + 3σ
= 180 + 3(32)
= 180 + 96
= 276 minutes
Therefore the range in which at least 88.89% of the data will lie is 84 minutes to 276 minutes
Simplify this algebraic expression completely.
8y – 2(y+4)
ОА. бу – 4
ОВ. бу+2
Ос. бу+ 4
D. бу – 8
Answer:
2 (3 y - 4) <- Complete answer, but since you only have those choices it's
6 y - 8
Step-by-step explanation:
Simplify the following:
8 y - 2 (y + 4)
Hint: | Distribute -2 over y + 4.
-2 (y + 4) = -2 y - 8:
8 y + -2 y - 8
Hint: | Group like terms in 8 y - 2 y - 8.
Grouping like terms, 8 y - 2 y - 8 = (8 y - 2 y) - 8:
(8 y - 2 y) - 8
Hint: | Combine like terms in 8 y - 2 y.
8 y - 2 y = 6 y:
6 y - 8
Hint: | Factor out the greatest common divisor of the coefficients of 6 y - 8.
Factor 2 out of 6 y - 8:
Answer: 2 (3 y - 4)
evaluate the determinant please answer i have limited time
See Explanation
Step-by-step explanation:
[tex] \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \\ \\ = 4 \times 1 - 3 \times 2 \\ \\ = 4 - 6 \\ \\ = - 2[/tex]
[tex] \begin{bmatrix} 4 & 2 & 6 \\ - 1 & - 4 & 5\\ 3 & 7 & 2 \end{bmatrix} \\ \\
=4(-4\times 2-5\times 7)\\ -2(-1\times 2-5\times 3)\\ +6(-1\times 7-(-4)\times 3)\\\\
= 4(-8-35) -2(-2-15) \\+6(-7+12)\\\\
= 4(-43) -2(-17) +6(5)\\\\
= - 172 + 34 + 30\\\\
= 64 - 172\\\\
= - 108 \\[/tex]
|k+8|=-10 must show work
Answer:
The answer is no solution.
Step-by-step explanation:
(
39) 10-
B-9) 10-
-- 10
Answer:
−10B+3800
Step-by-step explanation:
1. There were 3 towns on the mountain. The population of Hazelhurst was
4248. The population of Baxley was 3584. The population of Jesup was
9418. What was the average population of the 3 towns on the mountain?
Answer:
5750
Step-by-step explanation:
add the 3 populations together, divide by the number of populations (3)
