Answer:
The geometrical relationships between the straight lines AB and CD is that they have the same slope
Step-by-step explanation:
Given
[tex]OA = 2x + 9y[/tex]
[tex]OB = 4x + 8y[/tex]
[tex]CD = 4x - 2y[/tex]
Required
The relationship between AB, CD
Since AB is a straight line and O is the origin, then:
[tex]AB = (c - a)x + (d - b)y[/tex]
Where:
[tex]OA = ax + by[/tex] ====> [tex]OA = 2x + 9y[/tex]
[tex]OB = cx + dy[/tex] ====> [tex]OB = 4x + 8y[/tex]
This implies that:
[tex]a =2[/tex] [tex]b = 9[/tex] [tex]c = 4[/tex] [tex]d = 8[/tex]
So:
[tex]AB = (c - a)x + (d - b)y[/tex]
[tex]AB = (4 - 2)x + (8 - 9)y[/tex]
[tex]AB = 2x -y[/tex]
So, we have:
[tex]AB = 2x -y[/tex]
[tex]CD = 4x - 2y[/tex]
Calculate the slope (m) of [tex]AB\ and\ CD[/tex]
[tex]m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}[/tex]
For AB
[tex]m_1 = \frac{-1}{2}[/tex]
[tex]m_1 = -\frac{1}{2}[/tex]
For CD
[tex]m_2 = \frac{-2}{4}[/tex]
[tex]m_2 = \frac{-1}{2}[/tex]
[tex]m_2 = -\frac{1}{2}[/tex]
By comparison:
[tex]m_1 = m_2 = -\frac{1}{2}[/tex]
This implies that both lines have the same slope
9 1/2 yards x 19 1/4 yards
Answer:
(9 1/2) * (19 1/4) = 1463/8 = 182 7/8
Step-by-step explanation:
Conversion a mixed number 9 1/2
to a improper fraction: 9 1/2 = 9 1/2
= 9 · 2 + 1/2
= 18 + 1/2
= 19/2
To find a new numerator:
a) Multiply the whole number 9 by the denominator 2. Whole number 9 equally 9 * 2/2
= 18/2
b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19
c) Write a previous answer (new numerator 19) over the denominator 2.
Nine and one half is nineteen halves
Conversion a mixed number 19 1/4
to a improper fraction: 19 1/4 = 19 1/4
= 19 · 4 + 1/4
= 76 + 1/4
= 77/4
To find new numerator:
a) Multiply the whole number 19 by the denominator 4. Whole number 19 equally 19 * 4/4
= 76/4
b) Add the answer from previous step 76 to the numerator 1. New numerator is 76 + 1 = 77
c) Write a previous answer (new numerator 77) over the denominator 4.
Nineteen and one quarter is seventy-seven quarters
Multiple: 19/2
* 77/4
= 19 · 77/2.4
= 1463/8
**
pls help .
What shape(s) have opposite angles that are
congruent? ** You may have more the one
correct answer!
Rhombus
Square
Rectangle
Trapezoid
Kite
Answer:
Step-by-step explanation:
A parallelogram also has the following properties:
Opposite angles are congruent;
Opposite sides are congruent;
Adjacent angles are supplementary;
The diagonals bisect each other.
An equilateral triangle has a side length of 3x^2 - 4x + 9. What is the perimeter of the triangle?
Answer:
peri=3(3xsq-4x+9)
=9x^2-12x+27
F is directly proportional to A. if F=72 when A=9 find F when A=7
Sea p(x) = 2x + 4, calcular p(5) + p(2
Answer:
the answer is 7p
Step-by-step explanation:
p(5)+p(2)=7p
Last year Stevie was 281/4 inches tall. Since then he has grown 51/5
inches. How tall is Stevie now? Simplify your answer.
T
Answer:
80.45 inches
Step-by-step explanation:
Last year Stevie was 281/4 inches tall, which is: 70.25 inches (70 1/4)
He has grown 51/5 inches which is: 10.2 inches (10 1/5)
70.25 inches (last years height) + 10.2 inches (how many he has grown) = 80.45 inches
Stevie is 80.45 inches tall now.
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
help please!! i have 54:40 left!
Answer:
4/7 (first one)
Step-by-step explanation:
6-(2)/(2)+5=4/7
hope this helps
Answer:
6-2/2+5=4/7
The answer is 4/7 (option A)
NEED HELP ASAP FREE BRAINLIST
Answer:
13.6
Step-by-step explanation:
[tex]a^2+b^2=c^2\\4^2+13^2=c^2\\16+169=c^2\\c^2=185\\\sqrt{c^2} =\sqrt{185} \\c=13.6[/tex]
solve for b
–1 + 2b − 9 = 10b − 10
Answer:
The answer is B= 0
I'm positive
The supermarket has 28 aisles. 75% are empty, without any shoppers. How many empty aisles are there in the supermarket?
Answer:
21
28/75%=28
there ya go
7th grade math again Imao sorry
but ik its a lot but plss
17: -15x +0
18: -17x= -204
19: 21= -7n
20: m/4 = -13
22: -143= 11x
23: -16 + x = --15
26: n-8=-10
27: v/7 =8
28: a+11=20
30: 18+m=8
Answer:
Down below
Step-by-step explanation:
17: -15x
18: 12
19: -3
20: -52
22: -13
23: 31
26: -2
27: 56
28: 9
30: -10
Troy has an album that has 400 hockey cards. Each page of the album holds 4 hockey cards. If 19% of the album is empty, how many pages are filled with hockey cards?
Answer:
81 pages
Step-by-step explanation:
From the information given :
Total hockey cards = 400
Cards per page = 4
Number of pages = 400 /4
Number of pages in album = 100
% of album which is empty = 19%
% filled = 100 - 19 = 81%
81% of 100
0.81 * 100 = 81 pages
Some students want to order shirts with their school logo, The Tees company charges $9.65 per shirt
plus a setup fee of $43. The Shirtz company charges $8.40 per shirt plus a $58 fee. Which company
would you recommend to the students?
The cost of an article including 15% for taxes is ghc ghc138. What is the cost of the article without taxes
Answer:
Cost of article before tax is 120.
Step-by-step explanation:
It says cost of an article including 15% tax is 138.
So, let the cost of article without tax as 'x'
So, we can set up equation as
x+15%(x)=138
Simplify it
x+0.15x=138
1.15x=138
Divide both sides by 1.15
x=120
So, cost of article before tax is 120.
% 22 si 66 olan sayının % 30 u kaçtır?
lütfen kağıt üzerinde yapın :-)
Answer is in the file below
tinyurl.com/wpazsebu
5. Two plumbing companies charge the rates shown in the table. Find
how long the plumbing companies would need to work for Pipeline's
charges to be greater than Down the Drain's.
Hourly Rate
Company
Pipeline
Fixed Charge for Visit
$25.00
$32.50
Down the Drain
$22.50
$50.00
4x - 1 = -13 show the work please
Answer:
x = -3
Step-by-step explanation:
4x - 1 = -13
add 1 to each side
4x = -12
x = -3
Answer:
x = -3
Step-by-step explanation:
Add 1 to both sides to, this gives you 4x = -12. then divide both sides by 4, which would give you x = -3.
Can you help? This is an AP Precalc problem
Notice that v points into the third quadrant since both of its components are negative. If you want a vector to point in the same direction, it would need to have the same sign on its components. So C is the correct choice.
The factor of 1/√80 comes from normalizing the vector v. Its norm/magnitude is
|v| = √((-4)² + (-8)²) = √(16 + 64) = √80
so the unit vector that points in the same direction as v is simply v / |v|.
Help me with this!!!
Answer:
z = 9
Step-by-step explanation:
JH is a perpendicular bisector of Δ IJK.
Thus the triangle is isosceles with
JK = JI , that is
7z = z + 54 ( subtract z from both sides )
6z = 54 ( divide both sides by 6 )
z = 9
3. For each equation, determine if x=2 is a solution. Explain or show your reasoning. Select ALL of those where the x can equal 2. 2 points -2(x - 4) = 4 26/x = 13 - 3.8x = -7.4 4(x - 1) - 3(x - 2) = -8
Answer:
26/x = 13
x = 2
Step-by-step explanation:
2(x - 4) = 4
2x - 8 = 4
2x = 4 + 8
2x = 12
x = 12/2
x = 6
26/x = 13
Cross product
26 = x * 13
26 = 13x
x = 26/13
x = 2
- 3.8x = -7.4
x = -7.4 / -3.8
x = 1.95
4(x - 1) - 3(x - 2) = -8
4x - 4 - 3x + 6 = -8
x + 2 = -8
x = -8 - 2
x = -10
Translate the description as an algebraic expression:
the difference of 4 and the absolute value of m
Answer:
4 - | m |
(Absolute value of something is denoted by writing the value between two perpendicular lines.)
Maria is planting a row of flowers in a bed 103 feet long. The instructions say to space the plants 1 foot apart, allowing room for 103 flowers. The flowers come in flats containing 6 plants per flat. How many flats will she need? How many plants will she have left over?
Answer:
She will need 17 flats and will have 1 plant left over.
Step-by-step explanation:
six can go into 103 17 times, with a remainder of one.
Here are the questions and answers. Please help!
What is the volume of this rectangular prism?
3 cm
DI
cm
1
cm
2
Y
Answer:
3/4 cm^3
Step-by-step explanation:
Volume = base area * height. Where base area is 1/2*1/2 (As it is a square) and height = 3 cm, so times together get 3/4.
Step-by-step explanation:
multiply them all
V=h×l×w
V=½cm × 3cm × ½cm
V=¾cm³
What is the area of this figure?
Answer:
I think the area is 38
Step-by-step explanation:
area =38
Juan has blood type A, Lilly has blood type AB, and Aaron has blood type O. Is this relation a function? Explain.
This relation is a function. Each name in the domain corresponds to exactly two elements in the range of blood types.
This relation is not a function. Each name in The Domain corresponds to exactly two elements in the range of blood types.
This relation is a function. Each name in The Domain corresponds to exactly one element in the range of blood types.
This relation is not a function. Each name in The Domain corresponds to exactly one element in the range of blood types.
Answer:
This relation is a function
3rd answer
What is the first step when examining a data set
Calculate the mean
Calculate the median
Put the data in order from least to greatest.
Answer:
3. Put the data in order from least to greatest
please help asap i need to finish i will mark brainlest ily
Answer:
I think it would be 1/3 as 20+40=60 and 20 is 1/3 of what
Answer:
20\40= 0.5 is 1\2
Jo puts $4500 in a
savings account that
earns 5.5% interest. How
much money will he have
after 18 months?
Answer:
The total money Jo has after 18 months is $4871.25
Step-by-step explanation:
(20 points) How can a solution to a system of linear equations be determined exactly by graphing?
Please help, i have to have this answered soon and im freaking out.
Answer:
Free oints
Step-by-step explanation: