Segment ab falls on line 6x 3y = 9. segment cd falls on line 4x 2y = 8. what is true about segments ab and cd? they are parallel because they have the same slope of −2. they are perpendicular because they have slopes that are opposite reciprocals of −2 and one half. they are parallel because they have the same slope of 2. they are perpendicular because they have opposite reciprocal slopes 2 and negative one half.
Answers
They are parallel because they have the same slope of 2.
How to determine the true statements about the segments?The segments are given as;
AB => 6x - 3y = 9
CD => 4x - 2y = 8
We start by making y the subject of both equations
AB => 6x - 3y = 9
-3y = -6x + 9
Divide through by -3
y = 2x - 3
CD => 4x - 2y = 8
-2y = -4x + 8
Divide through by -2
y = 2x - 2
A linear equation is represented as:
y = mx + b
Where m represents the slope of the line.
By comparing the three equations, we have:
m1 = 2
m2 = 2
Parallel lines have equal slopes.
This means that the lines AB and CD are parallel lines
Hence, they are parallel because they have the same slope of 2.
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Answer: They are parallel because they have the same slope of 2.
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Related Questions
find compound interest on12600rupees for 2years at10% per annum compounded anually
Answers
Answer:
₹2520
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 12600 × 0.1 × 2 = 2520
I = ₹ 2,520.00
The simple interest accumulated
on a principal of ₹ 12,600.00
at a rate of 10% per year
for 2 years is ₹ 2,520.00.
Zane buys a rope that is 50 feet long. The cost of the rope is $0.35 per foot, including tax. What is the total cost, in dollars, of Zane’s rope?
Answers
Answer:
50x.35=17.50
Step-by-step explanation:
multiply length times amount per foot equals total cost
Calculate the simple interest on $ 6400 at 10% p.a. for 9 months.
Answers
Step-by-step explanation:
SI=P×T×R÷100
SI= 6400×9×10÷100
SI=576000÷100
SI=5760
John makes 2 cookies a day. Write an equation that shows the relationship between the days and number of cookes John
makes. Write an equation
Answers
Answer:
2x
x = each day
Step-by-step explanation:
Answer:
y= 2(x)
Step-by-step explanation:
The Y is the cookies. X is the days. Every day that John bakes, he makes 2 cookies. So you multiply the days by 2 to find the number of cookies he bakes.
a.Kiera runs 575.8 meters in 73.04 seconds.
If Kiera runs at a constant speed, how far does she run in one second? Give your answer to the nearest tenth of a meter.
b.Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answers
Answer:
This isnt really answer able. Its really a opinion
Step-by-step explanation:
FREE POINTS
DOGWATER
BOXED
Find the area of this rectangle.
6 m
9 m
A = [?] m2
Answers
Answer:
The area would be 54 m^2.
How to:
LxW
6 x 9 =
A sno-cone machine priced at $139 is on sale for 20% off. The sales tax rate is 6.75%. What is the price of the sno-cone machine after the discount and sales tax?
Answers
Answer:
$127.03
Step-by-step explanation:
A snow cone machine price at $139 is on after for 20 off.
The price after discount=139-20=$199
The sale tax rate 6.75%
Price with sales tax=199+(6.75%×199)
=199+(0.0675×199)
= 199+8.03
=$127.03
Yep here we go again:
The x-axis represents the number of hours before or afternoon, and the y-axis represents the temperature in degrees Celsius.
At 9 a.m., it was below freezing. In what quadrant would this point be plotted? Use Roman Numerals in your answer: Either I, II, III, or IV
At 11 a.m., it was 10 degrees Celsius. In what quadrant would this point be plotted?
Here is the image T ^ T ( I will also give brainliest!)
Answers
Answer:
9 am it will be IV quadrant
11 it will be I quadrant
hope it helps u
If at 9 a.m. the temperature was below freezing, which means below 0 degrees Celsius, then the point would be plotted in the third quadrant (III).
What is coordinate plane?The coordinate plane has four quadrants, which are numbered using Roman numerals I, II, III, and IV, and they are separated by the x-axis and y-axis.
In this case, the temperature was below freezing at 9 a.m., which means it was less than 0 degrees Celsius.
The point would be plotted in the third quadrant (III), where the x-value is negative and the y-value is negative, because the x-axis represents the time in hours before noon and the temperature is negative.
At 11 a.m., however, the temperature was 10 degrees Celsius, which is a positive value.
Thus, the point would be plotted in the first quadrant (I), where both the x-value and the y-value are positive, because the x-axis represents the time in hours before noon and the temperature is positive.
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A toy store sells accessories to go with the latest action figure. The store projects that it will sell a certain number of accessories for every box of a dozen action figures it orders. Let d represent one box of a dozen action figures. Use the table to write an expression to represent the actual number of each accessory sold per box of action figures.
Answers
The equation that can be used to represent the turbo jet pack will be 6b + 7.
How to calculate the equationFrom the information given, the turbo jet pack is given as six times the number of boxes plus seven. This will be:
= (6 × b) + 7
= 6b + 7
The x-ray vision glass is given as five fewer than two times the number of boxes. This will be:
= (2 × b) - 5
= 2b - 5
The invisible shield is given as one more than ten times the number of boxes. This will be:
= (10 × b) + 1
= 10b + 1
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Trapezoid ABCD has an area of 57. BC = 7 and AD = 12. What is the height of the trapezoid?
Answers
Answer:
Step-by-step explanation:
57x2/(12+7)=6
Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
of ginger ale on sale for 20 cans for $6.00. Which store has the better deal?
Answers
Answer:
Giant has the better deal
Step-by-step explanation:
4.00/ 12 is .3333333
6.00/20 is .30
so . 30 is less that .3333333333
therefore Giant has the better deal
Which of the following formulas is NOT used for finding the volume of sphere, cylinder, or cone?
Answers
Answer:
i think C
Step-by-step explanation:
Mutiply to get the answer
Translate the following verbal expression into an algebraic expression.
“Three times the sum of a number and seven”
Answers
Answer:
3 * (x + 7)
Step-by-step explanation:
Mark number as x
Then the sum of a number and seven is x + 7
Three times x + 7 can be written as
3 * (x + 7)
Parentheses mean that we first add x and 7 and then multiply their sum by 3
Alternatively you can write it as 3x + 21, since
3 * (x + 7) = 3 * x + 3 * 7 = 3x + 21
NEED HELP ON HOMEWORK ASAP
Answers
Answer:c
Step-by-step explanation:
3*1= 3 3*2=6 and so on
Mitchell went to the grocery store and bought 30 bagels. If there are 3 bagels in each pack, how many packs of bagels did Mitchell buy?
Answers
Answer: 10
Step-by-step explanation: 30/3=10
Answer:
10
Step-by-step explanation:
Take the total number of bagels and divide by the number of bagels per package to determine the number of packs
30/3 = 10
He will buy 10 packs
Exercice 1:
Voici un programme de calcul :
Choisir un nombre
Multiplier ce nombre par 4
Ajouter 8
Multiplier le résultat par 2
1. Vérifier que si on choisit le nombre -0,5, ce programme donne 12 comme résultat final.
2. Le programme donne 34 comme résultat final, quel est le nombre choisi au départ ?
Dans la suite de l'exercice, on nomme x le nombre choisi au départ.
3. L'expression A = 2(4x + 8) donne le résultat du programme de calcul précédent pour un nombre x
donné.
On pose B = (4 + x)2 – x2
Prouver que les expressions A et B sont égales pour toutes les valeurs de x.
4. Pour chacune des affirmations suivantes, indiquer si elle est vraie ou fausse.
On rappelle que les réponses doivent être justifiées.
Affirmation 1: Ce programme donne un résultat positif pour toutes les valeurs de x.
Affirmation 2 : Si le nombre x choisi est un nombre entier, le résultat obtenu est un multiple de 8.
Answers
Find the zeros 7x(x-11)-2(x-11)=0
Answers
(x-11)(7x-2)=0
x=11 or x=2/7
Answer:
x = [tex]\frac{2}{7}[/tex], x = 11
Step-by-step explanation:
Given
7x(x - 11) - 2(x - 11) = 0 ← factor out (x - 11) from each term
(x - 11)(7x - 2) = 0
Equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]
What is 8 fewer than the difference of d and 10
Answers
Answer:
subtract 8 from -10
answer: d-18
SOMEBODY PLEASE HELP ASAP PLEASE PLEASE PLEASE WILL GIVE YOU A GIFTCARD OF YOUR CHOICE
Answers
Answer:
what grade are u in
Step-by-step explanation:
Answer: I hope this helps!! It would mean the world to me if i got an Amazon or Xbox giftcard thanks!! :D
Step-by-step explanation:
You bought 3/4 pound of fudge for 6.75. Write and solve an equation to find the cost of the fudge per pound.
Answers
Given:
You bought [tex]\dfrac{3}{4}[/tex] pound of fudge for 6.75.
To find:
The equation and solve the equation to find the cost of the fudge per pound.
Solution:
Let x be the cost of the fudge per pound.
You bought [tex]\dfrac{3}{4}[/tex] pound of fudge for 6.75.
[tex]\dfrac{3}{4}x=6.75[/tex]
[tex]3x=6.75\times 4[/tex]
[tex]3x=27[/tex]
Divide both sides by 3.
[tex]x=\dfrac{27}{3}[/tex]
[tex]x=9[/tex]
Therefore, the required equation is [tex]\dfrac{3}{4}x=6.75[/tex] and the cost of the fudge is 9 per pound.
in the rectangle ABCD, AC=2x+19 and BD=5x-2. Find the value of x. Diagram is not drawn to scale
howdy got another, typed the question this time so it'll be easy for others to find it as well :)
Answers
Answer: x=7
Step-by-step explanation:
AC=BD
2x+19=5x+2
19-2=5x-2x
21=3x
x=21/3
x=7
Simplify the following expression. (52x + 61y) + (-6x + 47y)
Answers
Answer:
46x + 108y
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(52x + 61y) + (-6x + 47y)
Step 2: Simplify
Combine like terms (x): 46x + 61y + 47yCombine like terms (y): 46x + 108yThe mall is having a sale on all shoes. Each pair is $3.50 off the original price. Which expression shows the final price of a pair of shoes?
3.5+x
x- 3.5
3.5x
which is the answer???
and could anybody help me with a few more questions?
Answers
Answer:
x-3.5
Step-by-step explanation:
I suppose that x= the orginal cost of the pairs of shoes.
The expression that shows the final price of a pair of shoes is given by f(x) = (x - 3.5).
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that the mall is having a sale on all shoes. Each pair is $3.50 off the original price.
Assume the original price of the shoes is $x. So, the expression that shows the final price of a pair of shoes is given by -
f(x) = (x - 3.5)
Therefore, the expression that shows the final price of a pair of shoes is given by f(x) = (x - 3.5).
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mid-segment definition
Answers
Answer:
A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle.
Step-by-step explanation:
hope this helps :)
4^x. 2^y =128,find x and y .please needed urgently
Answers
Rectangle ABCD is similar to Rectangle JKLM.
What is the ratio (ABCD to JKLM) of the corresponding side lengths?
Answers
9514 1404 393
Answer:
2 to 3
Step-by-step explanation:
The ratio of side lengths is the square root of the ratio of areas:
32 to 72 = 4 to 9 . . . . simplified ratio of areas
Then the ratio of side lengths is ...
√4 to √9 = 2 to 3
a-3.2=5.5 what does a equal??
Answers
Answer:
2.3
EDIT ITS 8.7 SEE THIS IS WHY YOU CANT TRUST ME
Step-by-step explanation:
Answer:
8.7
Step-by-step explanation:
just add 5.5 and 3.2
A right triangle has side lengths,8,15,17 and as shown below.
Use these lengths to find, tan b, cos b, sin b
Answers
Remember the chant "soh cah toa"
sine = opposite ÷ hypotheneus
cosine = adjacent ÷ hypotheneus
tangent = opposite ÷ adjacent
remember that hypotheneus is the slanty side, opposite and adjacent side is in COMPARISON with the angle you want to find.
In this case, tan B would be 15/8
sinB = 15/17
cosB = 8/17
The spinner below is spun. Find the probability,
P(D greater than 1)
What is the numerator for the probability?
What is the denominator for the probability?
Answers
Answer:
5 - numerator
6 - denominator
When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
Answers
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft