Answer:
Formula that gives coordinates of the mid point of the segment connecting is [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Step-by-step explanation:
Given point are ( a , b ) and ( c , d )
To find : Coordinates of the mid point of the segment connecting given points.
We know that if point are [tex](x_1,y_1)\:\:and\:\:(x_2,y_2)[/tex]
then coordinate of the midpoints given by [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
So, Coordinates of the given points = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Therefore, Formula that gives coordinates of the mid point of the segment connecting is [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
HELP PLEASE!!! 15pts!!
Dominic is a landscape architect and is designing a garden with an area of up to 500 square feet. He will use two types of plants: zinnias and petunias. Each zinnia plant requires 1.6 square feet of ground and each petunia plant requires 1.8 square feet of ground. Each zinnia plant costs $4 and each petunia plant costs $3, and the architect must spend no more than $600.
Let z represent the number of zinnia plants and p represent the number of petunia plants.
Three of the constraints for this situation are z≥0 , p≥0 , and 1.6z+1.8p≤500 .
What is the other constraint for this situation?
Enter your answer in the boxes.
__ z + __ p ≤ __
The third constraint was based on the total area that the garden can only take. Now the last constraint must be based on the total cost that should be spend in order to make a 500 square feet of garden, that is:
4 z + 3 p ≤ 600
Which transformations will produce similar, but not congruent, figures?
Triangle PQR is reflected across the x-axis and then rotated 90° clockwise to form triangle P"Q"R" .
Triangle PQR is reflected across the y-axis and then dilated by a scale factor of 6 to form triangle P"Q"R" .
Triangle PQR is rotated 180° counterclockwise and then translated 11 units left to form triangle P"Q"R" .
Triangle PQR is rotated 90° clockwise and then reflected across the y-axis to form triangle P"Q"R" .
aiden currently has a balance of $4443.48 in an account he has held for 17 years he open the account with initial deposit of $2567 what is the simple interest rate on the account
A rectangular park, with dimensions of 1500ft x 2000ft has a diagonal walking path that goes from corner to corner. How long is the walking path?
What is the solution for 2(4r+6)=2/3(12r+18)
What is the missing leg length of the hypotenuse 23 and the other leg is 11??
PLEASE HELP ME!!!! WORTH 10 POINTS!!!
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided or the upload option to submit all of your calculations and final answer.
simplify √18
A. 2√3
B. 2√9
C. 3√2
D. 9√2
Determine whether the ordered pair (1,4)is a solution of the linear inequality y-4x<0.
a cone with a mass of 6 g has a radius measuring 5 cm and a height of 2 cm . what is its density?
A circle with center (3,5) intersects the y-axis are(0,1). find the radius of the circle, find the coordinates of the other point of intersection with the y-axis. what are the coordinates of the point of intersection of the circle and the x-axis
The coordinates of the other point of intersection with the y-axis will be (0, 9). And the x-intercept is at (3, 0).
What is the equation of circle?Let r be the radius of the circle and the location of the center of the circle be (h, k).
Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
A circle with center (3,5).
Then the equation of the circle will be
(x - 3)² + (y - 5)² = r²
The circle intersects the y-axis at (0,1).
Then the radius of the circle will be
(0- 3)² + (1 - 5)² = r²
9 + 16 = r²
r² = 25
r = 5
Then the equation of the circle will be
(x - 3)² + (y - 5)² = 5²
Then the other y-intercept of the circle (0, a) will be
(0 - 3)² + (a - 5)² = 5²
9 + (a - 5)² = 25
(a - 5)² = 16
a - 5 = 4
a = 9
The intersection of the circle with x-axis at (b, 0) will be
(b - 3)² + (0 - 5)² = 5²
25 + (b - 3)² = 25
(b - 3)² = 0
b - 3 = 0
b = 3
Thus, the coordinates of the other point of intersection with the y-axis will be (0, 9). And the x-intercept is at (3, 0).
The graph is given below.
More about the equation of circle link is given below.
https://brainly.com/question/10618691
#SPJ2
I've forgotten how to work out these kind of problems...could someone explain please? Will give brainiest. (Picture attached)
If you vertically compress the absolute value parent function, f(x) = |x|, by a factor of 3, what is the equation of the new function?
A. g(x) = |x – 3|
B. g(x) = |3x|
C. g(x) = 1/3 |x|
D. g(x) = 3|x|
That is correct. On APEX its C. g(x)= 1/3 |x|
The diagonals of rhombus fghj intersect at point k. if side gh is equal to 3x - 10 and side jh is equal to 6x - 19, find x
Round $0.6848 to the nearest cent.
determine if x+2 is a factor of p(x) = x4 + 3x3 +4x2 -8
If y varies directly as x, and y = - 4 when x=32, find why when x=3
A school had an election where the candidates received votes in the ratio of 1:2:3. If the winning candidate received 210 votes, how many people voted in the election?
The number of people who voted in the election is 420 people
Based on the information given,
Winning candidate = 210 votes
Second candidate = 2 × 210/3 = 140 votes
Last candidate = 1 × 210/3 = 70 votes.
The number of people who voted in the election will be the addition of the total votes and this will be:
= 210 + 140 + 70
= 420 votes
Therefore, from the information given, the number of people who voted in the election is 420 people.
Read related link on:
https://brainly.com/question/5871488
show that |3+10|=|3|+|10|
what type of triangle has two angles at 70 degrees and one at 40 degrees
Which shows the correct word and expanded forms for the decimal? 3.28
a. three and twenty-eight thousandths 3 + 0.2 + 0.08
b. three and twenty-eight thousandths 3 + 0.02 + 0.008
c. three and twenty-eight hundredths 3 + 0.2 + 0.8
d. three and twenty-eight hundredths 3 + 0.2 + 0.08?
What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ?
Enter your answer in the box. Do not round any side lengths.
___ units²
Please answer this question!
HELP PLS ASAP
Al gets paid semimonthly. His gross pay for each pay period is $750. He has 18% withheld for taxes and 4% withheld for personal deductions. What is the amount of his annual net pay?
A. $7,200
B. $14,040
C. $15,300
D. $15,600
Please explain your answer THANKS
Help me with the first one please
Set up a proportion and use cross multiplication to solve. 100 is 250% of?
Answer:
[tex]40[/tex]
Step-by-step explanation:
Let
x-------> the number
[tex]\frac{x}{100\%}=\frac{100}{250\%}[/tex]
[tex]x*250\%=100*100\%\\ \\x=10,000/250\\ \\x= 40[/tex]
A quadratic equation is shown below: x2 − 8x 13 = 0 which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers?
a. subtract 5 from both sides of the equation
b. subtract 3 from both sides of the equation
c. add 5 to both sides of the equation
d. add 3 to both sides of the equation
Add 3 to both sides, so you will have
x^2 - 8x + 13 + 3 = 3
x^2 -8x + 16 = 3
And now the left side is a perfect square trinolmial: (x-4)^2.
Introduction to addition or subtraction of fractions with different denominator 3/5+1/3
the square root of a number is -18. what is the other square root?
Find the area and perimeter of each composite figure use 3.14 for pi round your answer to the nearest 10th
Find the surface area and volume of each figure use 3.14 for pi round your answer to nearest 10th
I have examples if needed
1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet
Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet
2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters
Area = 3*.5 = 1.5, 3*2=6, 6+1.5 = 7.5 square meters
3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches
Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches
4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards
Volume = π*6^2*20 = 2261.9 cubic yards
5.surface area = 2*(9*7+2*2+2*9) = 190 cm
Volume = 2*7*9 = 126 cubic cm
6. surface area = 2*(11*11+11*11+11*11) = 726 mm
Volume = 11 *11*11 = 1331 cubic cm
1. Area = 15 square feet
2. Area = 5.5 square meters
3. Area = 52.26 square inches
4. Surface area = 312π square yards, Volume = 720π cubic yards
5. Surface area = 127 square cm, Volume = 126 cubic cm
6. Surface area = 726 square mm, Volume = 1331 cubic mm
let's go through each problem step by step with proper calculations:
**Problem 1:**
Given:
Perimeter = 3 + 3 + 3 + 4 + 5 = 18 feet
Area calculations:
- For the triangle: Area = 1/2 × base × height = 1/2 × 3 × 4 = 6 square feet
- For the rectangle: Area = length × width = 3 × 3 = 9 square feet
Total Area = 6 + 9 = 15 square feet
**Problem 2:**
Given:
Perimeter = 2.5 + 2.5 + 2.5 + 2.5 + 0.5 + 0.5 = 11 meters
Area calculations:
- For the triangle: Area = 1/2 × base × height = 1/2 × 0.5 × 2 = 0.5 square meters
- For the rectangle: Area = length × width = 2.5 × 2 = 5 square meters
Total Area = 0.5 + 5 = 5.5 square meters
**Problem 3:**
Given:
Perimeter = 3.14 × 2 × 3 + 8 = 18.84 + 8 = 26.84 inches
Area calculations:
- For the rectangle: Area = length × width = 6 × 4 = 24 square inches
- For the circle: Area = π × radius² = 3.14 × 3² = 28.26 square inches
Total Area = 24 + 28.26 = 52.26 square inches
**Problem 4:**
Given:
Surface area calculations:
- For the cylinder:
- Lateral Surface Area = 2 × π × radius × height = 2 × π × 6 × 20 = 240π square yards
- Top and bottom circles: Area = 2 × π × 6² = 72π square yards
Total Surface Area = 240π + 72π = 312π square yards
Volume calculations:
- Volume = π × radius² × height = π × 6² × 20 = 720π cubic yards
**Problem 5:**
Given:
Surface area calculations:
- For the rectangular box:
- Front and back: 9 × 7 = 63 square cm
- Sides: 2 × (2 × 9) = 36 square cm
- Top and bottom: 2 × (2 × 7) = 28 square cm
Total Surface Area = 63 + 36 + 28 = 127 square cm
Volume calculations:
- Volume = length × width × height = 9 × 7 × 2 = 126 cubic cm
**Problem 6:**
Given:
Surface area calculations:
- For the cube:
- All faces are identical: 6 × (11 × 11) = 726 square mm
Volume calculations:
- Volume = side³ = 11³ = 1331 cubic mm