Answer:
use formula of distance ;
Step-by-step explanation:
d = distance
(x_1, y_1) = coordinates of the first point
(x_2, y_2) = coordinates of the second point
so d is √((x_2-x_1)²+(y_2-y_1)²)
to find the distance between any two points.
taking A as x coordinate and B as y coordinate ie
A= [10,0]; B= [0,30]
[10 is x1 ,0 is y1 ]; [0is x2 and 30 is y2]
putting values in distance formula
√(0-10)²+(30-0)²
= √( -10 )²+(30)²
=[tex]\sqrt[/tex] 100+900
=√1000
= 31.622
the distance between ab is 31.62 or√1000
44 kg of onions cost $308. How much would 30 kg cost?
Answer:
$210
Step-by-step explanation:
Cost of 44kg onions = $308
Cost of 1kg onion = [tex] \frac{308}{44} = 7[/tex]
Cost of 30kg onions = [tex]30 \times 7 = 210[/tex]
triangles abc, dbe, and fbg are all symmetric about the y-axis. what are the coordinates of the centroid?
please help
Answer:
The coordinates of the centroid are (0, 5)
Step-by-step explanation:
The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are ([tex]\frac{x1+x2+x3}{3}[/tex] , [tex]\frac{y1+y2+y3}{3}[/tex])
In Δ ABC
∵ A = (-20, 0), B = (0, 15), C = (20, 0)
∴ x1 = -20, x2 = 0, x3 = 20
∴ y1 = 0, y2 = 15, y3 = 0
∴ The centroid = ([tex]\frac{-20+0+20}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)
∴ The coordinates of the centroid of Δ ABC are (0, 5)
In Δ DBE
∵ D = (-15, 0), B = (0, 15), E = (15, 0)
∴ x1 = -15, x2 = 0, x3 = 15
∴ y1 = 0, y2 = 15, y3 = 0
∴ The centroid = ([tex]\frac{-15+0+15}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)
∴ The coordinates of the centroid of Δ DBE are (0, 5)
In Δ FBG
∵ F = (-5, 0), B = (0, 15), G = (5, 0)
∴ x1 = -5, x2 = 0, x3 = 5
∴ y1 = 0, y2 = 15, y3 = 0
∴ The centroid = ([tex]\frac{-5+0+5}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)
∴ The coordinates of the centroid of Δ FBG are (0, 5)
∵ The three triangles are symmetric about the y-axis
→ That means they have the same centroid and it lies on the y-axis
∴ The coordinates of the centroid are (0, 5)
DE bisects BC. If BC = 5x-3 and CE= 2x+25 find the value of x
Answer:
x = 53
Step-by-step explanation:
The entire line is BC, the line DE bisects the line BC, meaning it cut the line in half. So CE is half of BC, so the equation for CE has to be multiplied by 2. Therefore:
5x - 3 = (2x + 25)2
multiply
5x - 3 = 4x + 50
ad 3 to both sides
5x = 4x + 53
subtract 4x from both sides
x = 53
Input into the equation to check:
5x - 3 = (2x + 25)2
5(53) - 3 = (2(53) + 25)2
265 - 3 = (106 + 25)2
262 = (131)2
262 = 262, it's correct :)
Answer:
Step-by-step explanation:
Lupe has 14 stickers that she wants to give to 2 friends.
She wants each friend to have the same number of stickers.
Select the three statements that describe how Lupe should give the stickers to her friends.
A. Each friend gets 14÷2 stickers.
B. Each friend gets 2 of the 14 stickers.
C. Each friend gets 142 stickers.
D. Each friend gets 7 of the 14 stickers.
10( x + 1) = 2 x-7
Solve For x
Answer:
x = -17/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
10(x + 1) = 2x - 7
Step 2: Solve for x
Distribute 10: 10x + 10 = 2x - 7Subtract 2x on both sides: 8x + 10 = -7Subtract 10 on both sides: 8x = -17Divide 8 on both sides: x = -17/8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 10(-17/8 + 1) = 2(-17/8) - 7Multiply: 10(-17/8 + 1) = -17/4 - 7Add: 10(-9/8) = -17/4 - 7Multiply: -45/4 = -17/4 - 7Subtract: -45/4 = -45/4Here we see that -45/4 does indeed equal -45/4.
∴ x = -17/8 is the solution to the equation.
Sydney placed 10 guppies in a fish tank she recorded the number of guppies in the tank
Answer:
[tex]g(n) = 10 * 3^{n}[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the explicit formula for the table
First, we need to check if the guppies increases at arithmetic progression or geometry progression.
For arithmetic progression:
We calculate the common difference (d)
[tex]d = g(n) - g(n-1)[/tex]
Take n as 1
[tex]d = g(1) - g(1-1)[/tex]
[tex]d = g(1) - g(0)[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(0) = 10[/tex]
[tex]d = 30 - 10[/tex]
[tex]d = 20[/tex]
Take n as 2
[tex]d = g(2) - g(1)[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(2) = 90[/tex]
[tex]d = 90 - 30[/tex]
[tex]d = 60[/tex]
The two differences are not equal. So, this
For geometry progression:
We calculate the common ratio (r)
[tex]r = \frac{g(n)}{g(n-1)}[/tex]
Take n as 1
[tex]r = \frac{g(1)}{g(1-1)}[/tex]
[tex]r = \frac{g(1)}{g(0)}[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(0) = 10[/tex]
[tex]r = \frac{30}{10}[/tex]
[tex]r = 3[/tex]
Take n as 2
[tex]r = \frac{g(2)}{g(1)}[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(2) = 90[/tex]
[tex]r = \frac{90}{30}[/tex]
[tex]r = 3[/tex]
The two ratios are equal.
So, the next step is to calculate the explicit formula using n term of a geometric progression.
Because the progression starts from 0, we make use of the following formula
[tex]g(n) = g(0) * r^{n}[/tex]
Substitute values for g(0) and r
[tex]g(n) = 10 * 3^{n}[/tex]
Hence:
The explicit formula is: [tex]g(n) = 10 * 3^{n}[/tex]
Which linear equations have one solution? Check all that apply.
O 5x–1=3(r + 11)
O 4(r-2) + 4x = 8(x– 9)
O 4(r- 6) + 4 = 2(r-3)
O 2(r- 4) = 5(r- 3) + 3
O 2(- 1) + 3x = 5(r- 2) + 3
2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm
from a metal sheet. How many square metres of the sheet are required for the same
Answer:
It's required [tex]7.48\ m^2[/tex] of sheet for the tank
Step-by-step explanation:
Surface Area of a Cylinder
Given a right cylinder of base radius r and height h, the surface area is calculated as follows:
[tex]S=2\pi r^2+2\pi r h[/tex]
The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:
[tex]S=2\pi 0.7^2+2\pi (0.7)(1)[/tex]
[tex]S=2\pi 0.49+1.4\pi[/tex]
[tex]S=2.38\pi[/tex]
[tex]\boxed{S=7.48\ m^2}[/tex]
It's required [tex]7.48\ m^2[/tex] of sheet for the tank
Clear selection
The cost of groceries is $120.00. The price will be split among several roommates.
What type of variation exists between the cost of groceries per person and the
amount of people involved?
A Direct variation
B Inverse variation
C Neither
D Not enough information
Answer:
B Inverse Variation
Step-by-step explanation:
I think that is the answsr
Answer:
The Correct is B inverse variation
Sandra walks 13 miles in 3 hours. At what unit rate does sandra walk
Answer:
4.25 mph i think
Step-by-step explanation:
4x 3 =12
1/4 x 4 = 1
12 + 1 = 13
HELPPPPPPP PLSSSSSSSSSS
Answer:
B
Step-by-step explanation:
I checked it and it’s right hope this helps!!
Answer correct plz if u steal points ill report
Answer:
Okay look at the graph, at x = 11, the y of the line is between 500 and 450. 500+450=950
950/2=475 so (11,475)
Let's take x=6, the y would then be 600. If x=9, y would be 525. Just try to look at the graph and see from there. Let me know the answer.
Which graph shows a proportional relationship between the number of hours of renting a jet ski and the total amount spent to rent the jet ski? (5 points)
a
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 48 and 8, 56. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
b
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 56 and 8, 56. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
c
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 18 and 6, 18 and 8, 18. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
d
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 54 and 8, 72. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
Answer:
A
Step-by-step explanation:
C.
a
C.
If you save 1 paisa the today, 2 paisa the next
day, 4 paisa the succeeding day and so on. The
total savings in two weeks will be in Rs.
b. 183
c. 162.83
d. 164.85
22. The
a. 163
no
Answer:
Step-by-step explanation:
[tex]2^{14}[/tex] paisa =16,384 paisa
It takes Paresh 4 hours to bike 26 miles. He plans to bike 7 hours tomorrow. If he bikes at the same rate, how far will Paresh bike in 7 hours?
Answer:
7x26
Step-by-step explanation:
The sum of an arithmetic progression A.P.
The sum of an arithmetic progression is
given by the expression:
Sn = n/2 [2a + (n − 1)d]
Where Sn is the sum.
Answer:
S8 = 112
Step-by-step explanation:.
The question is incomplete
Assuming we are given the following
First term a =7
number of terms n = 8.
Common difference d=2
We can find the sum of the first 8terms S8
Substitute the given values
S8 = 8/2[2(7)+(8-1)(2)]
S8 =4(14+7(2))
S8=4(14+14)
S8 = 4(28)
S8 = 112
Hence the sum of the first 8terms is 112
Note that the values are assumed values
Sadie went shopping over the weekend and found a sweater that she liked that was regularly 3
$33. She used her 20% off coupon to save her some money. How much money will Sadie save
on the sweater? *
What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?
Answer:
The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]
Step-by-step explanation:
We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.
The equation will be of form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Finding slope of the line:
Since both the lines are parallel, and we know that parallel lines have same slope.
The slope of given line [tex]5x+4y=16[/tex] can be found by writing in slope-intercept form [tex]y=mx+b[/tex]
[tex]5x+4y=16\\4y=-5x+16\\y=-\frac{5}{4}x+16[/tex]
Comparing with [tex]y=mx+b[/tex] the slope m is: [tex]m=-\frac{5}{4}[/tex]
So, the slope of required line is: [tex]m=-\frac{5}{4}[/tex]
Now, finding y-intercept b
y-intercept can be found using slope [tex]m=-\frac{5}{4}[/tex] and point (8,-7)
[tex]y=mx+b\\-7=-\frac{5}{4}(8)+b\\-7=-5(2)+b\\-7=-10+b\\b=-7+10\\b=3[/tex]
So, we get y-intercept: b=3
Now, the equation of required line having slope [tex]m=-\frac{5}{4}[/tex] and y-intercept b=3 is:
[tex]y=mx+b\\y=-\frac{5}{4}x+3[/tex]
So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]
What is the sign of the product (3)(–3)(–2)(4)
Answer:
72
Step-by-step explanation:
brainliest please
Plz help.For what value of x is line m parallel to line n?
Why would the Canadian government be against imposing harsh environmental regulations on mining and timber businesses located in the Canadian Shield?
Answer:
because the pollution created by these industries affects the United States more than Canada
Step-by-step explanation:
SMARTS!!!
Look at the following numbers:
-6, 0, 6, 12
Which pair of numbers has a sum of 0? (5 points)
a
6, 12
b
0, 6
c
-6, 0
d
6, -6
Look at the following numbers:
-6, 0, 6, 12
Which pair of numbers has a sum of 0? (5 points)
a
6, 12
b
0, 6
c
-6, 0
d
6, -6
Answer:
D) 6,-6
hope that helps
In the figure at the right AB || XY, and m<1 = 120. Tell weather each statement is true or false with #8, 9, 10, 11, 12, 13, 14, 15, 16, and 17
Answer:
False
Step-by-step explanation:because it is.
Which of the following is equal to the expression listed above?
A.
(14 + 7) × 12
B.
14 + (7 + 12)
C.
(14 + 7) + (7 + 12)
D.
12 × 14 + 12 × 7
Answer:
[tex](14 + 7) + 12 = 14 + (7 + 12)[/tex]
Step-by-step explanation:
Given
[tex](14 + 7) + 12[/tex] --- [Missing in question]
Required
Select equivalent expression
[tex](14 + 7) + 12[/tex]
Associative property states that:
[tex](a + b) + c = a + (b + c)[/tex]
In this case:
[tex]a = 14[/tex]
[tex]b = 7[/tex]
[tex]c = 12[/tex]
So, we have:
[tex](a + b) + c = a + (b + c)[/tex]
[tex](14 + 7) + 12 = 14 + (7 + 12)[/tex]
B. is correct
What is the coefficient of y in the expression 3-6 + 4y?
(1 point)
3
4
10
18
What is the slope of the line that passes through the points (-1, 4) and (2,6)? Use the slope
formula to find the slope.
Answer:
I THINK SLOPE 3
Step-by-step explanation: MY GUT TELLS ME SO...
Determine the zeros of the function f(x) = (x - 2)(x + 2)(x+1)^2
Answer:
x=2, x=-2, and x=-1
Step-by-step explanation:
Function: f(x)=(x-2)(x+2)(x+1)²
We can solve each one of the zeros by making the expressions (the ones in the parentheseis) equal zero.
So we have three equations:
1.(x-2)=0
2.(x+2)=0
3.(x+1)²=0
Solve.
1.x-2=0
x=2
2. x+2=0
x=-2
3. (x+1)²=(x+1)(x+1)=0
(x+1)=0
x=-1
(x+1)=0
x=-1
Since those two were the same we can just say x=-1 once.
Here are the three zeros:
x=2, x=-2, and x=-1
hope this helps!
tangles)
What is the missing term?
-1
?
-3
5x 25x2 | 15x
5x
+3
A satellite flies 55584 miles in
7.72 hours. How many miles has it flown in 23.19 hours?
Answer:
Miles flown in 23.19 hours = 166968 miles
Step-by-step explanation:
Given that:
A satellite flies 55584 miles in 7.72 hours
We will find the unit rate first,
Unit rate = [tex]\frac{55584}{7.72}[/tex]
Unit rate = 7200 miles per hour
Miles flown in 23.19 hours,
Miles flown = 7200 * 23.19
Miles flown = 166968 miles
Hence,
Miles flown in 23.19 hours = 166968 miles
I WILL GIVE BRAINLIEST (real answers)
Answer:
Answer below
Step-by-step explanation:
Rational:
3.597
74.721
5/2
0
-11
(all the rest are irrational)