Answer:
1) if Line AB is parallel to line CD then value of a is: a=3
2) if Line AB is perpendicular to line CD then value of a is: a=1
Step-by-step explanation:
We are given A(3,5), B(7, 10), C(0, 2), and D(1, a) we need to find value of a for which:
We can use slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] to find value of a according to conditions given.
We are given:
[tex]x_1=3, y_1=5, x_2=7, y_2=10 \ for \ line \ AB \ and \\\x_1=0, y_1=2, x_2=1, y_2=a \ for \ line \ CD \[/tex]
a) Line AB is parallel to line CD.
When 2 lines are parallel there slope is same so, using this we can find value of a
[tex]Slope \ of \ line \ AB = Slope \ of \ line \ CD[/tex]
[tex]\frac{y_2-y_1}{x_2-x_1}= \frac{y_2-y_1}{x_2-x_1}\\\frac{10-5}{7-3}=\frac{a-2}{1-0} \\\frac{5}{5}=\frac{a-2}{1}\\1=a-2\\a=1+2\\a=3[/tex]
So, if Line AB is parallel to line CD then value of a is: a=3
b) Line AB is perpendicular to line CD.
When 2 lines are perpendicular there slopes are opposite of each other so, using this we can find value of a
[tex]Slope \ of \ line \ AB =-\frac{1}{Slope \ of \ line \ CD}[/tex]
[tex]\frac{y_2-y_1}{x_2-x_1}=-\frac{1}{ \frac{y_2-y_1}{x_2-x_1}} \\\frac{y_2-y_1}{x_2-x_1}=-\frac{x_2-x_1}{y_2-y_1}\\\frac{10-5}{7-3}=-\frac{1-0}{a-2} \\\frac{5}{5}=-\frac{1}{a-2}\\1=-\frac{1}{a-2}\\a-2=-1\\a=-1+2\\a=1[/tex]
So, if Line AB is perpendicular to line CD then value of a is: a=1
The coin jar was filled with pennies and nickels in the ratio of 7 to 2. If there were 28 nickels in the jar, how many coins were there?
Jasmine gets paid to do chores around her house. She earns $3.00 every 20 minutes that she cleans the gutters. She earns $3.60 every 20 minutes that she mows the lawn. It took her 40 minutes to clean the gutters and 2 hours to mow the lawn. How much money did Jasmine earn?
Answer:
$24Step-by-step explanation:
Step one:
given data
we are told that she earned $3 every 20minute for gutter cleanup
and for mow, she earns $3.6 every 20 minutes.
Step two;
1. For a 40 minutes gutter cleanup she will make
=3*40/20
=3*2
=$6
1. For a 2 hours mow she will make
2 hours is 120 minutes
=3.6*120/20
=3*6
=$18
So in total she earned 6+18= $24
if a telescope originally costs $539.99 the tax rate is 10%. what is the total?
pls someone explain how to solve these type of problems plssssssssssss im not asking for a answer just explaining and possibly a example PLSS HELP ITS DUE IN 10 MINUTES
A new amusement park has a sign posting the cost for rides.
How much would it cost for 18 rides?
Answer:
It would cost $51 for 18 rides
Step-by-step explanation:
if it costs $8.50 for 3 rides, you could easily just multiplied the price of 3 by 6 because 6 x 3 = 18 rides
And 8.5 x 6 = $51
pls help I will give you brainliest please just help
Answer:
the picture isnt there
Step-by-step explanation:
Answer:
The picture is just a black photo...
Step-by-step explanation:
Your Welcome!
Brainliest Appreciated!
Jo's mother, Anne, is four times as old as Jo. In four years time, Anne will be three times as old as Jo. How old is Jo? (this is an easier version of a riddle we'll do in AP CS)
Answer:
Jo's age = x = 8 years
Step-by-step explanation:
Let
Jo's age = x
Jo's mother, Anne's age = 4x
In four years time, Anne will be three times as old as Jo.
Jo's age =3( x + 4)
Jo's mother, Anne's age = 4x + 4
How old is Jo?
Equate Jo's age and his mother's age
3(x + 4) = 4x + 4
3x + 12 = 4x + 4
3x - 4x = 4 - 12
-x = - 8
Divide both sides by -1
x = 8
Therefore,
Jo's age = x = 8 years
Write a fraction, a decimal and a percent for: one-sixth
Answer:
fraction:1/6 decimal:0.166666 repeated percent:16.6 repeated
Step-by-step explanation:
Answer:
1/6,0.16,16.60
Step-by-step explanation: please mark me brainlist
A picture frame has a perimeter of 62 inches. The difference between the
length and twice the width is 1 inch. What are the length and width of the
frame?
-2/5x + 3= 2/3x + 1/3
Answer:
x=2.5
Step-by-step explanation:
In this case, simplification can isolate x, so x=2.5.
In a survey of 2,000 people who owned a certain type of car, 900 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
45%
Step-by-step explanation:
900/2,000 = 45
Can u guys PLEASE ANSWER THIS QUESTION ASAP URGENTLY
Find the equation of the parabola in general form
Answer:
x^2-4x+3
Step-by-step explanation:
Since the zeroes of the quadratic are 1 and 3, we can set up an equation in factored form:
(x-1)(x-3)
=x^2-4x+3
We can further check that this is the right answer by evaluating it at the vertex:
(2)^2-4*2+3=-1
Since that corresponds to the graph, the answer is x^2-4x+3
Find the line of reflection if the image of (-5,-2) is each of the following?
Answer:
the reflection would be (5,2)
Step-by-step explanation:
3. A student wrote a book which she plans to sell online for $13 per copy. Her total expenses were $85. Which function can be used to find the profit in dollars, d, when the student sells C, copies of the book?
Answer:
Her profit in dollars is;
d = 13c - 85
Step-by-step explanation:
Mathematically,
profit = sales - cost price
She sells at $13 per copy
so for c copies, total sales amount will be 13 * c= $13c
So the profit d in dollars will be;
d = 13c - 85
I need help please.
What are the answers at least for the first one. Please help.
Answer:
1. 0 weeks
2.$50 in savings
3.8 weeks
4. $90 in savings
Step-by-step explanation:
Two parallel lines are crossed by a traversal. What is the value of h?
h=60
h=80
h=100
h=120
Answer:
h=60
Step-by-step explanation:
The angle that is 120 degrees and the angle that is h degrees are called same side interior angles
Same side interior angles are supplementary, meaning that they add to 180 degrees
To find h we can use Measures addition postulate to find the unknown value h
h+120=180
h=60
answer quickly plzzz
What is the quotient?
-4/5 *2
HELP PLEASE
Answer:
The answer is 4/25 or 0.16.
Step-by-step explanation:
If the astrick is meant for a square root, then yes that is the answer.
Cuál es la expresión equivalente a (x + 3)
Answer:
correspond with the domain.
Domain:
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Step-by-step explanation:
7. Consider the equation x/3+ 7 = 13.
Part A: Write an equivalent equation using the multiplication property of
equality.
Part B: What properties will you use next to solve the equations?
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
i know it
23=-8y-7+2y
Y=???????????
Answer:
y= -5
Step-by-step explanation:
Answer:
y=-5
Step-by-step explanation:
23=-8y-7+2y
23=-6y-7
23+7=-6y-7+7
30=-6y
To find Y divide both sides by-6.
30/-6=-6y÷-6
-5=y
What is 3/4 divided 5/16 in its simplest form?
Step-by-step explanation:
3/4÷5/16
3/4×16/5
=12/5(2 2/5)
(3/4) divided by (5/16) in its simplest form is 12/5.
To divide two fractions, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and the denominator. So, to divide (3/4) by (5/16), you can multiply (3/4) by the reciprocal of (5/16):
(3/4) ÷ (5/16) = (3/4) * (16/5)
Now, multiply the numerators and denominators:
Numerator: 3 * 16 = 48
Denominator: 4 * 5 = 20
3/4) ÷ (5/16) = 48/20
To simplify this fraction, find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both by the GCD:
GCD of 48 and 20 is 4.
(48/4) ÷ (20/4) = 12/5.
To know more about simplest form:
https://brainly.com/question/29775109
#SPJ2
PLEASE HELP !! THANK YOU AND ILL GIVE 10 POINTS PLUS BRAINLIEST !! CORRECT ANSWERS ONLY PLEASE !!
y+3=-7(x+5) in slope intercept form
Answer:
IN slope intercept form this is y=-10x-50
y+3=-7(x+5)
y=-10(x+5)
y=-10x-50
Step-by-step explanation:
Pencils cost 25 cents apiece. Rulers cost 80 cents
apiece. Susan spent $20 for a total of 36 rulers and
pencils. How many pencils did she buy?
Answer:
She bought 16 pencils
Cada semana de los últimos 3 años Lucía ha hecho 120 km en bicicleta y cada mes 100 km corriendo y 15 km nadando. Debe cambiar la bicicleta cada 20.000 km. ¿Tiene que cambiarla ya?
Answer:
Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.
Step-by-step explanation:
Para determinar la respuesta tienes que encontrar la cantidad de km que Lucía ha hecho en 3 años multiplicando los 120 km que hace a la semana por la cantidad de semanas que hay en 3 años. Para determinar las semanas, tienes que considerar que en 1 año hay 52 semanas:
Semanas=52*3= 156 semanas
120*156=18,720 km
De acuerdo a esto, la respuesta es que Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.
-2c+y c=-2 and y=5
Answer: 9
Step-by-step explanation: All you have to do is plug in the numbers for the variable they give you. :)
Answer:
Step-by-step explanation:
Given c= -2. & y=5
-2c+y=. -2x-2+5=4+5= 9 is the answer
PLZ HELP OMG!! I’ll mark Brainliest to whoever gives correct answer first!!!
Answer:
Step-by-step explanatioThe chosen topic is not meant for use with this type of problem. Try the examples below.
2
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When the machine is active for 7 hours, 2,450 buttons are manufactured. How many hours would the machine need to be active in order to manufacture 5,250 buttons?
Answer:
350 x 15 = 5250, or in Other words it takes 15 hours to for 5250 buttons to be manufactured.
Step-by-step explanation:
Which of these expressions shows like terms?
Your answer:
3x +3y
2x +2x^2
2x+3x
2x^2 +3y^2
Please help! Need Now!
Answer:
C
Step-by-step explanation:
2x+3x Have the same variable. Therefore they both have like terms
Select the correct answer.
Which pair of statements correctly compares the two data sets?
А.The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.
B.The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.
C. The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.
D. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.
Answer: B?
Step-by-step explanation:
Answer:
Go for B
Step-by-step explanation: