geomeTry, writing equations of parallel lines from graphs
Determine the equation of the line that passes through A(2,-5) and B(6,-3).
Answer:
y = 1/2x - 6
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - (-5) / 6 - 2
2/4
= 1/2
y = 1/2x + b
-3 = 1/2(6) + b
-3 = 3 + b
-6 = b
what is the operation of xy^2-2xy^2-5y^2x
Answer:
-6xy²
Step-by-step explanation:
xy² - 2xy² - 5y²x
use commutative property to reorder terms
xy² - 2xy² -5xy²
combine like terms
- xy² - 5xy²
- 6xy²
What is the perimeter, P, of a rectangle that has a length of x + 8 and a width of y - 1?
Op = 2x + 2y + 18
OP = 2x + 2y + 14
OP = x + y - 9
OP = x + y + 7
Answer:
P = 2x +2y + 14
Step-by-step explanation:
The perimeter of the rectangle is 2x + 2y + 14.
What is a perimeter?The perimeter of an object is calculated by adding the sides length of the objects.
Given that, the length and width of a rectangle is x+8 and y-1, we need to find the perimeter,
P = 2(length + width)
P = 2(x+8+y-1)
P = 2(x+y+7)
P = 2x+2y+14
Hence, the perimeter of the rectangle is 2x + 2y + 14.
Learn more about perimeter, click;
https://brainly.com/question/6465134
#SPJ7
Complete the frequency distribution table below.
Answer:
.............soooooooooooooooerrrrrrrrrrrrryyyyyyyyyyyyyyy.......... iiiiiiiii........ doooooooonnnnnnnnntttttttt......... kkkknnnnnooooowwww
Solve
5x + 3 = x + 11
Step-by-step explanation:
5x + 3 = x + 11
4x=8
x=2
!!!!!
[tex]5x + 3 = x + 11 \\ 5x + 3 - x = 11 \\ 4x + 3 = 11 \\ 4x = 11 - 3 \\ 4x = 8 \\ x = \frac{8}{4} \\ x = 2[/tex]
HOPE IT HELPS!!!I NEED BRAINLIEST ✌️which of the following is the distance between the points (3 -3) and (9 5)
Answer:
10
Step-by-step explanation:
[tex]\sqrt{36 + 64}[/tex]
[tex]\sqrt{100}[/tex]
10
Sal knows the volume of a cylinder is 500 cubic units. He wants to create a cylinder with twice the volume. Which variation of the original cylinder will have a volume of exactly 1,000 cubic units?
Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y) (x - 3,y + 4) to move points on the screen.
Answer:
The output of (-6,0) is (-9,4)
Step-by-step explanation:
Given
[tex](x,y) \to (x -3,y+4)[/tex] --- rule
Required
The output of [tex](-6,0)[/tex]
[tex](-6,0)[/tex] implies that:
[tex](x,y) = (-6,0)[/tex]
So, we have:
[tex](x,y) \to (x -3,y+4)[/tex]
[tex](-6,0) \to (-6 -3,0+4)[/tex]
[tex](-6,0) \to (-9,4)[/tex]
The output of (-6,0) is (-9,4)
Find the slope of each side of this quadrilateral and use that information to explain why it is a rectangle
8
BI
Your answer might look like this (you can 'copy-paste' the sentences below and fill in the blanks)
The slope of the side BA is The slope of the side BC is_-
The slope of the side BA is__ The slope of the side AD is_
The slope of the side CD is
The slope of the side AD is_
The slope of the side CD is
The slope of the side BC is
Finding the slopes tell me that this quadrilateral is a rectangle because_
Step-by-step explanation:
the answer is in the above image
What is the product?
Answer:
The first one
Step-by-step explanation:
The product[tex]-4.\left[\begin{array}{c}8&-1&-5&9\end{array}\right][/tex] is equal to[tex].\left[\begin{array}{c}-32&4&20&-36\end{array}\right][/tex]. Option A is correct.
We have to find the product of[tex]-4.\left[\begin{array}{c}8&-1&-5&9\end{array}\right][/tex].
To do this we need to multiply -4 with each element in the matrix.
-4×8 = -32
-4×-1 =4
-4×-5=20
-4×9=-36
Now the matrix becomes [tex].\left[\begin{array}{c}-32&4&20&-36\end{array}\right][/tex].
Hence, the product[tex]-4.\left[\begin{array}{c}8&-1&-5&9\end{array}\right][/tex] is equal to[tex].\left[\begin{array}{c}-32&4&20&-36\end{array}\right][/tex]. Option A is correct.
To learn more on Matrices click here:
https://brainly.com/question/28180105
#SPJ6
1. Write the equation that models the height of the roller coaster. Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points)
Answer:
[tex]y = \sqrt{900 - x^2[/tex]
Step-by-step explanation:
Given
From the complete question, we have:
[tex]r=30[/tex] --- radius
Required
Expression for the height of the roller coaster
We have:
[tex]x^2 + y^2 = r^2[/tex] --- equation of circle
Substitute 30 for r
[tex]x^2 + y^2 = 30^2[/tex]
[tex]x^2 + y^2 = 900[/tex]
Since the roller coaster is half of the circle, the height is defined by y.
So: make y the subject
[tex]y^2 = 900 - x^2[/tex]
Take square roots
[tex]y = \sqrt{900 - x^2[/tex]
Hence, the height is:
[tex]\sqrt{900 - x^2[/tex]
PLEASE HELP WITH THIS QUESTION
Answer:
D) X >= to -1
Step-by-step explanation:
Since the dot on -1 is filled in, -1 is included. The arrow points to the right, implying that X is greater than or equal to -1.
It's D)
Because the full circle means "equal to" and it's going towards the right which means it will be greater.
answer choices
a.)36.94
b.)39.59
c.)18.41
d.)25.19
e.)19.74
f.)28.94
Answer:
x = 39.59
Step-by-step explanation:
take 43 degree as reference angle
using sin rule
sin 43 = opposite / hypotenuse
0.682 = 27 / x
x = 27 / 0.682
x = 39 . 589
x = 39. 59
Find the surface area and the volume of the figure
Round to the nearest tenth if needed.
Answer:
See belowStep-by-step explanation:
Surface area:
S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)Volume:
V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)Answer:
> V = 217.68 cm³
> S = 227.14 cm²
Step-by-step explanation:
We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.
Firstly let's find out the volume .
> V = V_( cuboid) + V_(cylinder)
> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm
> V = 180 cm³ + 3.14 × 4cm² × 3cm
> V = 180 cm³ + 37.68 cm³
> V = 217.68 cm³
Lets find the surface area :-
> S = S_( cuboid) + S_( cylinder) - πr²
> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²
> S = 239.7 cm² - 12.56 cm²
> S = 227.14 cm²
Note :-
Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder . Dilate the triangle with vertices A (1,2)
B(2,4) C(-1,-2) with a scale factor of 2.
What would be the new ordered pair for
B'?
Answer:
lol i genuinely dunno
Step-by-step explanation:
like B'(4,8) or something
What is the area? Bit confused on this one.
Answer:
A = 9x² + 12x
Step-by-step explanation:
The area (A) of the rectangle is calculated as
A = height × width
= 3(3x² + 4x) ← distribute parenthesis by 3
= 9x² + 12x
Answer:
For the blue one:
A1=length*breadth
=3*3x^2
=9x^2
For pink:
A2=length*breadth
=3*4x
=12x
So the total area is:
A=A1+A2
=9x^2+12x
assume that supply function is p=c+dQ.When the price per unit of a product is Rs.60,the quantity supplied is 400 but when the price per unit increases to Rs.80,the quantity supplied increases to 600.Find the values of c and d.Also, find the relation between P and Q
is it like this pls don't mind how I snap it
What is the approximate distance between the two points (2, 4) and (5,0)?
A rectangular tank is 100 cm long, 30 cm wide and 12 cm deep.The volume of liquid it will hold is
Answer:
36000cm
V= Length×Width×height
Answer:
[tex]36000 cm^{3} [/tex]
Step-by-step explanation:
Volume = Length * width * HeightRectangular Tank is,
[tex]100cm = long[/tex]
[tex]30cm = wide[/tex]
[tex]12cm = height[/tex]
Let's Solve now
[tex]v = l \times w \times h \\ \: = 100cm \times 30cm \times 12cm \\ = 36000 {cm}^{3} [/tex]
write a linear equation in one variable for each of the following situations:
Answer:
i. y = 4
ii. p = 45
iii. m = 5
Step-by-step explanation:
(a) In triangle PQR, PQ = QR. So that,
Perimeter = PQ + PR + QR
40 = (2y + 3) + (5y - 2) + (2y + 3)
= 2y + 3 + 5y - 2 + 2y + 3
40 = 9y + 4
40 - 4 = 9y
36 = 9y
y = [tex]\frac{36}{9}[/tex]
y = 4
(b) The age of Rahim's father is p years. Since he is 29 years older than Rahim, we have;
p = 16 + 29
p = 45
Rahim's father is 45 years old.
(c) Cost of a chair = RM 5.90
Cost of m chairs = RM 5.90 x m
= RM 5.90m
Amount paid = RM 50 - RM 20.50
= RM 29.50
Thus,
RM 5.90m = RM 29.50
5.90m = 29.50
m = [tex]\frac{29.50}{5.90}[/tex]
= 5
m = 5
The number of units of chairs bought is 5.
helpppppppppoppppppppp
A)
Replace the letters in the given equation with the corresponding values given in the problem:
A = 10,000 x 2.718^(0.05 x 2)
A = 11,051.59 , rounded to nearest dollar = $11,052
B)20,000 = 10000 x 2.718^(0.05 x t)
Divide both sides by 10,000:
2 = 2.718^(0.05 x t)
Apply exponent rules:
0.05tln(2.718) = 2
Solve for t:
t = ln(2) / 0.05ln(2.718)
t = 13.86 years, rounded to nearest year = 14 years.
Answer:
Step-by-step explanation:
Using [tex]A=Pe^{rt[/tex] as instructed, our equation looks like this:
[tex]A=10,000e^{(.05)(2)}[/tex] which simplifies a bit to
[tex]A=10,000e^{.1[/tex] which simplifies a bit more to
A = 10,000(1.10517) so
A = 11,051.71 Easy. Now onto the second part: solving for the number of years it takes for the investment to double. Setting A equal to 20,000 since 20,000 is 10,000 doubled:
[tex]20,000=10,000e^{.05t[/tex] Begin by dividing both sides by 10,000 to get
[tex]2=e^{.05t[/tex] and take the natural log of both sides to get that exponent down out front, keeping in mind that the natural log will "undo" the e, leaving us with:
ln(2) = .05t and
t = 14 years (that's 13.8 rounded up to the nearest year)
which expression is equivalent to 6-(-8)
which expression is equivalent to 6-(-8)
A cube has square sides with area x2 +24x + 144. What expression represents the surface area of the cube?
Given:
A cube has square sides with area [tex]x^2+24x+144[/tex].
To find:
The expression that represents the surface area of the cube.
Solution:
It is given that,
The area of each side of cube = [tex]x^2+24x+144[/tex]
Number of sides of a cube = 6
Total surface area of the cube is the product of number of sides of the cube and the area of each side. So, the total surface area of the cube is
[tex]SA=6(x^2+24x+144)[/tex]
[tex]SA=6(x^2)+6(24x)+6(144)[/tex]
[tex]SA=6x^2+144x+864[/tex]
Therefore, the expression that represents the surface area of the cube is [tex]6x^2+144x+864[/tex].
anyone solve this pls :)
your ans is here........
can someone please help for brainlest
Answer:
yes it is correct
Step-by-step explanation:
option 1
Answer:
Your answer is correct! 9:1
Step-by-step explanation:
Old Area = side x side
? = 2 x 2
4cm
New Area-
Step 1: Triple the sides
2 x 3 = ?
6cm
Step 2: Find the area
6 x 6 = ?
36cm
The ratio of the new area to the old area is:
36 : 4
But wait! You can simply it!
36 / 4 = 9
4 / 4 = 1
So the new ratio would be:
9 : 1
Hope this helps!
Good Luck!
:)
PLEASE HELP PLEASE PLEASE PLEASE PLEASE
Answer:
1: 98
2: 82
3: 98
4: 82
Step-by-step explanation:
So 2 is 82deg then the opposite is also 82 so 4 is 82deg
Then 82+82 = 164deg, and we remain with 360deg-164deg which is = 196.
Since the other two angles will be equal (they are opposite each other) we can decide 196/2 = 98
So 3 and 1 are 98deg
Answer:
Step
<2 and <4 are vertically opposite. They are equal
<2 = 82 Given
<4 = 82 Vertically opposite to a given
<3 = 180 - 82 <3 and <4 are supplementary. They are on the same straight line.
<3 = 98
<1 = 98 Vertically opposite angles are equal.
Solve the system of equations.
2x + 2y + 3z = 3
6x + 3y + 37 = 3
2x + 5y + z = 6
Answer:
1. x=3/2-y-3z/2
2.x=-y/2-17/3
3.x=3-5y/2-z/2
Step-by-step explanation:
i gusse
The mean of 5 numbers is 30. The median is 33. What might the numbers be?
Let a,b,c,d and e are five numbers
mean = (a +b+ c+ d+e)/5 = 30
⇒ (a +b+ c+ d+e) = 150_______(1)
now, Let the number excluded be a
then, new mean = (b+ c+ d+e)/4 = 28
⇒ (b+ c+ d+e)= 112
putting this value in (1),
⇒a + 112 = 150
⇒a = 150 -112 = 38
excluded number = 38
find the area of the following shapes. Show the formula used and all work. Round to 1 decimal place .
Answer:
[tex]\text{d. }106,250\:\mathrm{cm^2},\\\text{e. }38.5\:\mathrm{cm^2},\\\text{a. }85\:\mathrm{ft^2},\\\text{b. }7.89676\:\mathrm{m^2}[/tex]
Step-by-step explanation:
Part D:
The figure shows a parallelogram with base 425 cm and height 250 cm. Its area can be found by [tex]A=bh[/tex] and therefore the area of this shape is [tex]A=425\cdot 250=\boxed{106,250\:\mathrm{cm^2}}[/tex]
Part E:
The figure shows a trapezoid. The area of a trapezoid is equal to the average of its bases multiplied by the height. Since one base is 2 cm and the other base is 9 cm, the average of these bases is [tex]\frac{2+9}{2}=\frac{11}{2}=5.5\:\mathrm{cm}[/tex]. The height is given as 7 cm, therefore the area of the trapezoid is [tex]7\cdot 5.5=\boxed{38.5\:\mathrm{cm^2}}[/tex]
Part A:
The composite figure consists of two rectangles. The area of a rectangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=bh[/tex]. The total area of the figure is equal to the sum of the areas of these two rectangles.
Area of first rectangle (rectangle on bottom): [tex]5\cdot 13=65\:\mathrm{ft^2}[/tex]
Area of second rectangle (rectangle on top):
*Since we don't know the dimensions, we must find them. Start by converting 108 inches to feet:
[tex]108\:\mathrm{in}=9\:\mathrm{ft}[/tex]. Therefore, the dimensions of this rectangle are (10-5) ft by (13-9) ft [tex]\implies5\text{ by } 4[/tex] and this rectangle's area is [tex]5\cdot 4=20\:\mathrm{ft^2}[/tex]
Thus, the area of the figure is equal to [tex]65+20=\boxed{85\:\mathrm{ft^2}}[/tex]
Part B:
We've already found the area of the figure in the previous part in square feet. To find the area in square meters, use the conversion [tex]1\text{ square foot}=0.092903\text{ square meter}[/tex].
Therefore, the area of the figure, in square meters, is [tex]85\cdot 0.092903=\boxed{7.89676\:\mathrm{m^2}}[/tex]