If a=2i+4j, b=2i-5j.What is the vector equation of line AB?.
Answer:
9j
Step-by-step explanation:
vector AB means going to B from A.
= pos. final - pos. initial
= pos.B - pos.A
= (2i + 4j) - (2i - 5j)
= 2i + 4j - 2i + 5j
= 9j
Can somebody help with this
Answer:
B
Step-by-step explanation:
Domain is the x value and it is asking your for the coordinates with the same x value.
find and interpret the slope
Answer:
y interpret is 60
slope 60/4=20x
hope this helps
have a good day :)
Step-by-step explanation:
Find the circumference of the given circle given a diameter of 40 cm.
Use 3.14 as an approximation of Pi.
Answer:
c. 125.6
Step-by-step explanation:
Pi= 3.14
r= d/2 = 40/2 = 20
[tex]2\pi \: r[/tex]
= 2 × 3.14 × 20
=125.6
PLS HELP I WILL GIVE BRIANLY!
Francine bought 3 skirts that cost $2500 each before the discount. What was her total after
the discount?
On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N has points (0, negative 1), (2, negative 4), and (negative 2, negative 3). How does the area of triangle RST compare to the area of triangle LMN? The area of △RST is 2 square units less than the area of △LMN. The area of △RST is equal to the area of △LMN. The area of △RST is 2 square units greater than the area of △LMN. The area of △RST is 4 square units greater than the area of △LMN.
Answer:
The answer should be "B" (The area of △RST is equal to the area of △LMN.)
The area of ΔRST is equal to the area of ΔLMN.
How to find the area of a triangle from its vertices ?We know that, if the vertices of a triangle are [tex](x_{1},y_{1}), (x_{2} ,y_{2} ), (x_{3} ,y_{3} )[/tex],
then the area of the triangle is [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |
What is the result of comparing area of two given triangles ?In ΔRST, Vertices are R=(5,5), S=(2,1), T=(1,3)
In ΔLMN, Vertices are L=(0,-1), M=(2,-4), N=(-2,-3)
Area of ΔRST = [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |
= [tex]\frac{1}{2}[/tex] | 5(1-3)+2(3-5)+1(5-1) |
= [tex]\frac{1}{2}[/tex] | 5×(-2)+2×(-2)+4 |
= [tex]\frac{1}{2}[/tex] | -10-4+4 |
= [tex]\frac{1}{2}[/tex] | -10 |
Removing the absolute sign, we get,
Area of ΔRST = [tex]\frac{1}{2}[/tex] ×10 = 5 square unit
Again, Area of ΔLMN = [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |
= [tex]\frac{1}{2}[/tex] | 0(-4+3)+2(-3+1)-2(-1+4) |
= [tex]\frac{1}{2}[/tex] | 0+2(-2)-2(3) |
= [tex]\frac{1}{2}[/tex] | -4-6 |
= [tex]\frac{1}{2}[/tex] | -10 |
Removing the absolute sign, we get,
Area of ΔLMN = [tex]\frac{1}{2}[/tex] ×10 = 5 square unit
Hence, we can say that, the area of ΔRST = the area of ΔLMN
Learn more about area of a triangle from its vertices here :
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1,100,300 in written in words please!
Answer:
one million one hundred thousand three hundred
Please help with this ASAP
Answer:
7w^3/5v
Step-by-step explanation:
42v^3w^4/30v^4w
42 = 6 * 7
30 = 6*5 , factor
6*7v^3w^4/6*5v^4w
6 is common, cancel
7v^3w^4/5v^4w
simplify w^4/w = w^3
v^3/v^4 = 1/v
therefore, 7w^3/5v is the answer
Given that f(x) = 3x - 2, g(x) = x2 + 3x and h(x) = 4.2^x
Points A, B, C, and D are the vertices of a square. Points E and F are the center of two congruent semicircles that are tangent to each other at point G. Which value is closest to the area of the shaded regions?
Answer:
8 sq units
Step-by-step explanation:
to find the area of shaded region:
area of square minus sum of areas of each semi-circle
A(square) = 6² = 36
A (semi-circle) = πr²/2
= π3²/2
= 4.5π
Since there are two semi-circles, that makes one complete circle with an area of 9π
A(circle) ≈ 28 sq units
36-28 = 8 sq units
Which expression is represented by this model
Answer:
A
Step-by-step explanation:
The distance between 0 and 4/6 is 4/6. This distance is repeted two times
so we have 4/6 + 4/6 or 2 x 4/6
Help !Which of the following functions are linear?
Function A
Function b
Function a and b
Or none of the above
Answer:
function A
Step-by-step explanation:
_______________
Pam had some toy cars. She got 4 more cars. Then her friend gave her 2 more cars. Now Pam has 18 toy cars in all. Which equation shows this word problem? O A. A. 0 +4+2 = 18 О B. D +4- 2 = 18 O + C. 4+ 2 + 18 = 0 O D. 4+2 – 18 = 1
I NEED AN ANSWER ASAP PLEASE!!!
Answer:
40% properties are Semi-detached
Step-by-step explanation:
Given,
Percentage of Bungalow = 10%
Percentage of Detached properties = 30%
Percentage of Apartments = 20%
∴Total percentage of properties deducting the semi-detached properties
= (10 + 30 + 20) %
= 60%
∴ Percentage of semi detached properties = (100 - 60) %
= 40%
So, 40% properties are Semi-detached.
Your house had a value of $480,000 and increased in value by 3.5%. How much is your house worth now?
Answer:
$496,800
Step-by-step explanation:
Present cost = $480,000
%increase = 3.5%
Present price of the house = 480,000 + 3.5% of 480,000
= 480,000 + 0.035 * 480,000
= 480,000 + 16,800
= $496,800
Present price of the house = $496,800
The figure below shows a triangular piece of cloth: What is the length of the portion BC of the cloth?
6 cos 32°, 6 sin 32°, cos32°/6, sin32°/6
Answer:
the answer is simple
Step-by-step explanation:
hope you got mu explanation
Answer:
6 sin 32°
Step-by-step explanation:
Hope this helps :)
Hoy vamos de excursión con la escuela y nos ha tocado hacer los bocadillos para toda la clase. Si para hacer los bocadillos para mis 4 hermanos gastamos 2 barras de pan, ¿cuántas barras de pan necesitaremos para hacer los bocadillos de los 24 alumnos que hay en clase?Regla de tres
Answer:
12barras
Step-by-step explanation:
Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?
De la pregunta anterior:
4 personas = 2 barras de pan
24 personas = x
Multiplicar cruzada
4 × x = 24 × 2 barras de pan
x = 24 × 2 barras de pan / 4
x = 12 barras de pan
How many distinct triangles can be drawn by using three of the seven dots below? (Two
triangles are considered different if they don’t share the same three vertices.)
Answer:
With 3 dots, you can only draw 1 triangle.
Step-by-step explanation:
All Triangles must have 3 sides, and 3 angles.
Note:
Pls, brainliest.
Thank you!
which structure is found in the cytoplasm of a typical plant cell?
Answer:
Lysosomes
Step-by-step explanation:
What is 6 1/12 - 3 6/12? Move numbers to the boxes to show the answer. If there is no whole number put a 0 in the first box
6/12
- 1/12
= 5/12
6 - 3 = 3
= 3 5/12
26. What is the approximate length of RS 7
18 in
S
21 in
R
A. 9.5 in
B. 10.8 In
C 12.1 In
D. 12.8 In
Find the values of x and y. State which theorems you used
Answer:
Step-by-step explanation:
5/6.
use that alternate exterior angles are congruent
3x= 5x -64; 64 = 5x-3x; 64= 2x ; 32 =x
use that lines form 180°
y+ 5x-64= 180
y= 180 +64 -5*32; y= 84
7/8.
use that alternating exterior angles are congruent
x=86
use that same side exterior angles are supplementary
x+y = 180; y= 180 -86; y= 94
9/10.
use that vertical angles are congruent
2y=59; y= 59/2; y= 29.5
use that alternate exterior angles are congruent
3x-4= 2y; 3x = 2y+4; x= (59+4)/3; x=21
ASAPPPPPPPPPPPPPP HELPPPPPPPPP
Answer:
1) supplementary
2) complementary
Step-by-step explanation:
1) FGH= 109 JKL=71
109+72=180
2) AED=45 BEC=45
45+45=90
please provide a solution
These are 230 calories in 4 ounce of a type of ice cream how many calories are in 6 ounces of that ice cream
Answer:
345
Step-by-step explanation:
230/4 = 57.5
57.5 times 6 = 345 calories
It takes 70 pounds of seed to completely plant a 9 -acre field.
How many pounds of seed are needed per acre?
Answer:
7.8 to 1 decimal place
Step-by-step explanation:
70 pounds for 9 acre
for one acre it'll be 70/9
7.7 recurring or 7.8 to 1dp or 8 to the nearest whole number
Answer:
7/9 pounds
Step-by-step explanation:
I did 70/9 to get 7/9 pounds
HELP WILL COUNT BRAINLIEST
Pls I need help ASAP❤️
Answer: third option 60t + 24t
Step-by-step explanation:
Answer: 60[tex]x^{3}[/tex]-24[tex]x^{2}[/tex]
Step-by-step explanation:
A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?
Answer:
[tex]Area = 26478cm^2[/tex]
Step-by-step explanation:
Given
See attachment for desk
Required
The area
First, calculate the area of the semicircular cutout
[tex]Area = \frac{\pi r^2}{2}[/tex]
Where
[tex]r = 60cm[/tex]
So:
[tex]A_1 = \frac{3.14 * 60^2}{2}[/tex]
[tex]A_1 = \frac{11304}{2}[/tex]
[tex]A_1 = 5652cm^2[/tex]
Next, the area of the complete trapezium
[tex]Area= \frac{1}{2}(a + b) * h[/tex]
Where
[tex]a = 300[/tex]
[tex]b = 2 * r = 2 * 60 = 120[/tex]
[tex]h = 153[/tex]
So:
[tex]A_2 = \frac{1}{2} * (300 + 120) * 153[/tex]
[tex]A_2 = \frac{1}{2} * 420 * 153[/tex]
[tex]A_2 = 32130cm^2[/tex]
The area of the desk is:
[tex]Area = A_2 - A_1[/tex]
[tex]Area = 32130cm^2 - 5652cm^2[/tex]
[tex]Area = 26478cm^2[/tex]
What are the solutions to the equation x² + 16x + 14 = 0?
Answer:
-8+5√2 and -8-5√2
Step-by-step explanation:
Given the expression x² + 16x + 14 = 0
USing the general formulas
x = -16±√16²-4(14)/2
x = -16±√256-56/2
x = -16±√200/2
x = -16±10√2/2
x = -8±5√2
Hence the required solutions are -8+5√2 and -8-5√2