Answer:
the fourth option : 5x - 3y = 15
Step-by-step explanation:
the slope of the original line is given by the coordinate differences between the 2 points on the line.
remember, the slope is the factor of x in the line equation and is the ratio y/x indicating how many units y is changing, when x changes a certain number of units.
so, to go from (-3. 2) to (2, -1) x changes 5 units and y -3 units.
therefore, the slope is -3/5.
the slope of a perpendicular line simply switched x and y. and the sign of the slope.
therefore the slope of the perpendicular line is 5/3.
and the line equation is
y = (5/3)x + c
to get c we need the point on the line (3, 0).
0 = (5/3)×3 + c = 5 + c
c = -5
y = (5/3)x - 5
3y = 5x - 15
3y - 5x = -15 or (after multiplying both sides by -1)
5x - 3y = 15
Revolve into factor : 2x square + 5xy + 2y square
Answer:
(2x + y) ( x + 2y)
Step-by-step explanation:
What is the value of a?
Answer:
90
Step-by-step explanation:
Use angle-arc relation,
For a and 45, Inscribed angle's relation can be utilized
Inscribed angle=Half the arc
45=1/2a
Therefore, a=90
If n(A)=11 and n(B)=18,find the maximum value of n(AnB).
The maximum value of n (A ∩ B) occurs when A ⊂ B (i.e. when A is a subset of B), in which case A ∩ B = A, and so max{n (A ∩ B)} = n (A) = 11.
I NEED HELP WITH THIS!! 50 POINTS!!!
Drag each system of equations to the correct location on the table.
Classify each system of equations as having a single solution, no solution, or infinite solutions.
Answer:
Starting with the first one, we need to convert both of the equations into slope-intercept form. y = -2x + 5 is already in that form, now we just need to do it to 4x + 2y = 10.
2y = -4x + 10
y = -2x +5
Since both equations give the same line, the first one has infinite solutions.
Now onto the second one. Once again, the first step is to convert both of the equations into slope-intercept form.
x = 26 - 3y becomes
3y = -x + 26
y = -1/3x + 26/3
2x + 6y = 22 becomes
6y = -2x + 22
y = -1/3 x + 22/6
Since the slopes of these two lines are the same, that means that they are parallel, meaning that this one has no solutions.
Now the third one. We do the same steps.
5x + 4y = 6 becomes
4y = -5x + 6
y = -5/4x + 1.5
10x - 2y = 7 becomes
2y = 10x - 7
y = 5x - 3.5
Since these two equations are completely different, that means that this system has one solution.
Now the fourth one. We do the same steps again.
x + 2y = 3 becomes
2y = -x + 3
y = -0.5x + 1.5
4x + 8y = 15 becomes
8y = -4x + 15
y = -1/2x + 15/8
Once again, since these two lines have the same slopes, that means that they are parallel, meaning that this one has no solutions.
Now the fifth one.
3x + 4y = 17 becomes
4y = -3x + 17
y = -3/4x + 17/4
-6x = 10y - 39 becomes
10y = -6x + 39
y = -3/5x + 3.9
Since these equations are completely different, there is a single solution.
Last one!
x + 5y = 24 becomes
5y = -x + 24
y = -1/5x + 24/5
5x = 12 - y becomes
y = -5x +12
Since these equations are completely different, this system has a single solution.
Step-by-step explanation:
hope this helps you out:)
cotx - tanx +4sin2x = 2/ sin2x
Answer:
Step-by-step explanation:
please click thanks and mark brainliest if you like :)
A textbook store sold a combined total of 255 physics and math textbooks in a week. The number of math textbooks sold was 81 less than the number of physics textbooks sold. How many textbooks of each type were sold?
Answer:
math = 87
physics = 168
Brainliest, please!
Step-by-step explanation:
Variables:
m = math, p = physics
Equations:
m + p = 255
m = p - 81
Substitution:
m + p = 255
(p - 81) + p = 255
2p - 81 = 255
2p = 336
p = 168
Solving for m:
m + p = 255
m + 168 = 255
m = 255 - 168
m = 87
Checking with the other equation:
m = p - 81
87 = 168 - 81
87 = 87
So, math = 87 and physics = 168
Brainliest, please!
A class of 245 students went on a field trip. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
Answer:
4 cars and 5 buses
Step-by-step explanation:
245÷ 45=5.4
45×5=225
245-225=20
20÷5=4
Two rectangles are similar. The first is 6 feet wide and 20 feet long. The second is 15 feet wide. What is the length of the second rectangle?
Answer:
50
Step-by-step explanation:
As they are similar, the ratio of the width should be equal to the ratio of length
6/15=20/x, x=50
If the dimensions of a rectangle are 2x + 1 by x + 1, find its area, in terms of x.
Answer:
3x + 1
Step-by-step explanation:
Area Of a rectangle = L x B
= 2 + 1 + 1
= 2 + + 1
= 2 + + 1
= 3 + 1
Answer From Gauth Math
Please help me it’s so important
there are 7 boys and 5 girls in a class. the teacher randomly selects 3 different students to answer questions. the first student is a girl, the second is a boy, and the 3rd student is a girl. find the probability of this occurring.
Answer:
7/11
Step-by-step explanation:
The first female student has 5 choicesThe second has 7 choicesThe 3rd has 4 choices
-. (5*7*4)/12C3
Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below:
Answer:
30 people took part in the survey
Step-by-step explanation:
5+7+6+5+4+3= 30
The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator.
Hi
as the triangle is rectangle isoceles, then the three side are :
x , x , 6 where 6 is the hypotenuse.
So using pythagoras theorem we know that : x²+x² = 6²
2x² = 36
x² = 36/2
x² = 18
x = √18
Find the domain of the function y = 5∕3 tan(3∕4x).
A) All real numbers except odd integer multiples of 2π∕3
B) All real numbers except odd integer multiples of 4π∕3
C) All real numbers except 0 and odd integer multiples of 2π∕3
D) All real numbers except 0 and odd integer multiples of 4π∕3
Answer:
A
Step-by-step explanation:
tan(3x/4)=sin(3x/4)/cos(3x/4)
So the domain of tah(3x/4) is all real numbers except real numbers that make cos(3x/4)=0.
cos(pi/2 +n pi)=0
So we need to solve 3x/4=pi/2+n pi
Multiply both sides by 4/3: x=4/3(pi/2+n pi)
Distribute: x=2pi/3+4n pi/3
Or x=(2pi+4 n pi)/3
Or x=2 pi/3 ×(1+2n)
So odd integer multiples of 2pi/3 is the numbers to be excluded from the domain.
The required domain of the function y = 5/3 tan(3/4x) is (-∞, ∞) - {- 2/3 (2n + 1)π, 2/3 (2n + 1)π}.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
y = 5/3 tan(3/4x)
Function tan defined at every x except x = nπ/2 where n = odd number. i.e x = (-∞,∞) - {(2n+1) * π/2, -(2n+1) * π/2}
3/4 * x = (2n + 1 ) * π/2
x = (2n + 1) * 4/3* π/2
x = 2/3 (2n + 1)π
So the required domain for the given function y = 5/36tan(3/4)x is given as,
Domain (x) = (-∞, ∞) - {- 2/3 (2n + 1)π, 2/3 (2n + 1)π}.
Thus, the required domain of the function y = 5/3 tan(3/4x) is (-∞, ∞) - {- 2/3 (2n + 1)π, 2/3 (2n + 1)π}.
Learn more about trigonometry equations here:
brainly.com/question/22624805
#SPJ5
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
A. (3,-4)
Step-by-step explanation:
Hi there!
When we reflect a point (x,y) across the y-axis, it will become the point (-x,y).
Right now we can see that point G has the coordinates (-3,-4). Therefore after reflecting about the y-axis, it would become (3,-4).
I hope this helps!
If 400 g of chocolate sells for $12,
"how much is the cost per kilogram?
the cost of the chocolate of 1 kg will be 30$
Find the missing value that makes each of the following pairs of fractions equivalent.
3/5 = [] 20
4/7 = 16 []
25/30 = []6
4 = (1/10
Circle the improper fractions
9/5
5/12
21/8
11/19
10/1
Answer:
3/5=12/20 multiply by 4
4/7=16/49 a square of
25/30=5/6 divide with 5
improper fractions
9/5
21/8
10/1
convert 123 into quinary number .
To convert decimal number 123 to quinary, follow these steps:
1. Divide 123 by 5 keeping notice of the quotient and the remainder.
2.Continue dividing the quotient by 5 until you get a quotient of zero.
3. Then just write out the remainders in the reverse order to get quinary equivalent of decimal number 123.
Samuel takes 5 hours to make a table and a chair. He takes 9 hours to make 3 chairs
and a table. How much time does he take to make a table?
Answer:
3 hours
Step-by-step explanation:
t = time to make a table
c = time to make a chair
t + c = 5
t+3c = 9
Subtract the second equation from the first
t+3c = 9
-(t + c = 5)
-----------------------
2c = 4
Divide by 2
2c/2 = 4/2
c =2
2 hours for the chair
t+c = 5
t+2 = 5
t = 5-2
t = 3hours
Answer:
It takes 3 hours to make a table.
Step-by-step explanation:
Table and chair : 5 hours
Table and 3 chairs : 9 hours
(Table and 3 chairs) - (Table and chair) = (2 chairs)
9 hours - 5 hours = 4 hours
2 chairs : 4 hours / 1 chair : 2 hours
Table and chair : 5 hours
Chair : 2 hours
Table: x hours
5 - 2 = 3
Table : 3 hours
what is 1680 mm in feet
5.51181102 feet (5 feet 6 9⁄64 inches)
I need help I don’t understand this mathhh!!!
Answer:
$67
Step-by-step explanation:
If Chloe spent $67 and now has no money left, that means she only had $67 before her purchase.
Bismah is building 5 raised garden beds in a community garden. Each raised
garden bed will need 1 7/8 bags of soil. How many bags of soil will Bismah need for
all 5 raised garden beds?
Answer:
9.375
Step-by-step explanation:
1 7/8x5
because you need 5 times the amount
Answer:
let the dude get brainlest
Step-by-step explanation:
please help me is for my homework
Answer:
0.625
Step-by-step explanation:
:) i hope this helps.
plot -½ on the number line
Answer:
this would be towards the front and the very end
please tell me the coordinates
Answer:
A'(-9, -3)
Step-by-step explanation:
The coordinates of A are (-3, -1).
The dilation factor is 3.
Multiply the coordinates of A by 3.
A'(-9, -3)
Answer:
Coordinates of A´ are (-3,-1), it is dilated by the factor of 3, The New coordinates will be:-
[tex](-3\times 3)=-9[/tex]
[tex](-1\times3)=-3[/tex]
[tex]A'(-9,-3)[/tex]
OAmalOHopeO
I will give brainlist
Answer:
54
Step-by-step explanation:
162 divided by 3 is 54
Answer:
54 words per minute
Step-by-step explanation:
in 3 minute Rachel types 162 words
so, in 1 minute Rachel types 162words÷ 3 minutes
= 54 words per minute
(algebra) grade 9
Do the ratios 2/1 and 4/8 form a proportion?
answers:
~yes~
or
~no~
Answer:
No
Step-by-step explanation:
Find a number you can multiply 2 by to get 4.
2
Okay, now to ensure the ratio stays the same, multiply by 2/2 (aka 1)
You'll get 4/2, 2hixh is NOT equal to 4/8. So no, these ratios aren't equal.
Hope this helps!
A shopkeeper marked the price of an article a certain percent above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9,492 with 13% VAT to buy the article, by what percent is the marked price above the cost price of the article?
Plz solve this problem
Answer:
25%
Step-by-step explanation:
let the MP be x
sp without vat =x-16%of x
= 21x/25
sp with VAT = 21x/25 +13% of 21x/25
rs 9492 = 2373x/2500
( 9492*2500)/2373=x
x = 10000
cp = ((21x/25 )*100)/100+5 ( 5= profit percent )
=8000
(10000-8000)×100%/8000
=25%
Plz tell me the answer to this one
Hi! I'm happy to help!
First of all in this question, we need to find out the total amount Eric paid.
Let's add the two values together.
1.29+0.39=$1.68
If he spent $2, we need to subtract the amount he owed, to get the amount of change.
2.00-1.68=$0.32
Now that we know he receives 32 cents in change, we have to find out which picture that is in.
This top left photo shows two dimes and two pennies. Dimes are worth ten cents and pennies are worth one.
10+10+1+1=22
The top left photo show 22 cents so that is incorrect.
The top right photo shows a quarter, a dime, and two pennies. A quarter is worth 25 cents.
25+10+1+1=37
The top right photo shows 37 cents so that is also incorrect.
The bottom left photo shows a quarter, a dime, a nickel, and two pennies. A nickel is worth 5 cents.
25+10+5+1+1=42
The bottom left photo shows 42 cents, so that is also incorrect.
The bottom right photo shows a quarter, a nickel, and two pennies.
25+5+1+1=32
The bottom right photo shows 32 cents so that one is correct.
You should select the bottom right photo.
I hope this was helpful, keep learning! :D
Whoever is right I will give you brainlist!!!
Answer:
B
Step-by-step explanation:
C and D aren't linear and A has a positive slope
Answer:
A has positive slope.......,..