To find the equation of a line perpendicular to y=(4/9)x-2 that passes through the point (4,3), we need to determine the slope of the original line and then find the negative reciprocal of that slope. The equation of the perpendicular line is y = -(9/4)x + 12.
To find the equation of a line perpendicular to y=(4/9)x-2 that passes through the point (4,3), we need to determine the slope of the original line and then find the negative reciprocal of that slope. The original line has a slope of 4/9, so the perpendicular line will have a slope of -9/4. Using the point-slope form of a line, we can plug in the slope and the given point to find the equation of the perpendicular line:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope. Plugging in the values, we get:
y - 3 = -(9/4)(x - 4)
Simplifying the equation, we get:
y = -(9/4)x + 12
Therefore, the equation of the line perpendicular to y=(4/9)x-2 that passes through the point (4,3) is y = -(9/4)x + 12.
Learn more about Perpendicular Lines here:https://brainly.com/question/18271653
#SPJ2
What is the value of the discriminant in the equation shown below? x^2-4x+10=0?
Answer:
The discriminant would be -24.
Step-by-step explanation:
Hey Is anyone really good at math? I need help with this one.
What is the average of 96, 49 , 68 and 75?
David wants to install a fence fence around his garden. The garden is rectangular and has an area of 240 square feet. One side of the garden is along the street and is 12 feet long. For this side of the garden, David will use fencing that costs 18$ per linear foot. For the other three sides of the garden, David will use fencing that costs 15$ per linear foot. What is the total cost of fencing?
The total cost of fencing is $996.
Cost calculationGiven that David wants to install a fence fence around his garden, and the garden is rectangular and has an area of 240 square feet, and one side of the garden is along the street and is 12 feet long, and for this side of the garden , David will use fencing that costs 18$ per linear foot, while for the other three sides of the garden, David will use fencing that costs 15$ per linear foot, to determine what is the total cost of fencing the following calculation must be made :
12X = 240240 / 12 = X20 = X12 x 18 + 12 x 15 + 20 x 15 + 20 x 15 = Cost216 + 180 + 300 + 300 = Cost996 = CostTherefore, the total cost of fencing is $996.
Learn more about calculus in https://brainly.com/question/9384208
If 5 rubber stamps cost $9.70 which equation would help determine the cost of 11 rubber stamps
To find the cost of 11 rubber stamps, we calculate the unit price by dividing the given cost of 5 stamps by 5 and then multiply the unit price by 11.
Explanation:To determine the cost of 11 rubber stamps when 5 stamps cost $9.70, first we need to find the cost of one rubber stamp. We divide the total cost by the number of stamps to find the unit price, which is $9.70 ÷ 5 = $1.94 per stamp. Using this unit price, we can then multiply by the desired number of stamps to find the total cost for 11 stamps. The equation to determine the cost of 11 rubber stamps is:
Cost of 11 stamps = 11 × $1.94
By calculating this, we find that 11 stamps will cost $21.34.
Learn more about Unit Price Calculation here:https://brainly.com/question/28965958
#SPJ12
write 171 miles in 3 hours as a unit rate
The brady bunch has three boys who ages are consecutive even integers. The sum of the boy's ages is equal to four times the youngest boy's age. What are the ages Brady boys?
x+x+2+x+4 =4x
3x+6 =4x
x=6
6 +8+10 = 24
ages are 6, 8 & 10
The Brady boys' ages are consecutive even integers, and their respective ages are 6, 8, and 10 years old, as derived from setting up and solving an equation based on the given sum and multiple conditions.
Explanation:We have a mathematical problem involving consecutive even integers and the relationship between their sum and a single integer's multiple. Since the Brady boys' ages are consecutive even integers, we can represent the youngest boy's age as x. The ages of the other two boys would then be x + 2 and x + 4 respectively, because even integers are two units apart.
The information given states that the sum of the boys' ages equals four times the youngest boy's age. This gives us the equation:
x + (x + 2) + (x + 4) = 4x. Simplifying this equation,
3x + 6 = 4x
3x - 4x + 6 = 0
-x + 6 = 0
x = 6.
Therefore, the youngest Brady boy is 6 years old, the middle boy is 8 years old, and the oldest is 10 years old
Write an equation to represent: four-fifths of z added to six equals eight
A) 4 5 z + 6 = 8
B) 4 5 + 6z = 8
C) 4 5 (6)(z) = 8
D) 4 5 (6) + z = 8
If KL = 2x, LM = 5x, and KM = 7, what is LM?
Use ∆ABC to find the value of sin B.
Answer: 24/25
Step-by-step explanation: sinB= perpendicular/hypotenuse
= side opposite to angle B/hypotenuse
= AC/AB
= 24/25
3. Which word choice supports the idea that the author has a positive point of view of rollerskating?
A.been around since the early 1700s
B.loved winter ice-skating
C.hard to roll
D.more popular
Answer The answer is B
Step-by-step explanation:
What is the range? Thanks
15 points and brainliest -
E’F’G is the image of EFG under a dilation through point C.
What scale factor was used in the dilation?
A. -2
B. - 1/2
C. 1/2
D. 2
Answer:
For anyone else looking for the answer, the answer is actually, B. -1/2 I just did this test and got it right.
How do I find the value of x?
Which equation represents a line that passes through (4, 1/3 ) and has a slope of 3/4?
y – 3/4 = 1/3(x – 4)
y – 1/3 = 3/4(x – 4)
y – 1/3 = 4(x – 3/4 )
y – 4 = 3/4(x – 3/4 )
Answer:
The correct option is 2.
Step-by-step explanation:
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is slope.
The line passes through (4, 1/3 ) and has a slope of 3/4.
The equation of line is
[tex]y-\frac{1}{3}=\frac{3}{4}(x-4)[/tex]
Therefore the correct option is 2.
MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1. intersection is all the numbers both sets have in common
so 3, ,7 , 13
2. union is all the numbers from both sets so 1, 5, 8, 12, 17
Name the property the equation illustrates. 8 + 5.3 = 5.3 + 8 Inverse Property of Multiplication Inverse Property of Addition Associative Property of Addition Commutative Property of Addition
Answer:
The answer is : Commutative Property of Addition
Step-by-step explanation:
The communicative property of addition shows that "a + b = b + a".
The numbers can be written in any order, the result will be same.
The given terms are : 8 + 5.3 = 5.3 + 8
The solution for both are same; 13.3 = 13.3
So, this shows the commutative property of addition.
A fighter plane, f, is told to intercept plane x which is 200 miles in front of f flying directly away from f at 500 mph. plane f is told it must intercept x in 6 minutes. how fast should f fly?
To intercept plane x, which is 200 miles in front and flying away at 500 mph, in 6 minutes, the fighter plane f should fly at 2500 mph.
Explanation:The question deals with the calculation of how fast the fighter plane (plane f) should fly in order to intercept plane x in the given time. This is essentially a problem in the physics concept of relative motion. Plane x is 200 miles away from f and is flying away at a speed of 500 mph. The fighter plane f has 6 minutes (or 0.1 hours) to intercept, which is the time needed to cover the distance between the planes. Recall the formula of velocity, v = d/t. Here, the distance d = 200 miles (distance between the planes), and t = 0.1 hours. Substituting these into the formula, we can calculate the necessary speed for plane f.
Additionally, since plane x is moving away from f at 500 mph, plane f must cover an additional 50 miles (500 mph * 0.1 hours) to intercept x. Therefore, the total distance f must cover is 250 miles (200 miles + 50 miles).
Substituting this into the formula of velocity, we find that f should fly at 2500 mph (250 miles / 0.1 hours) to intercept plane x in the allotted time.
Learn more about Relative Motion here:https://brainly.com/question/36197552
#SPJ12
The fighter plane 'f' needs to fly at a speed of 2500 mph to intercept the escaping plane 'x' that is flying away at a speed of 500 mph and is currently 200 miles away.
Explanation:To solve this problem, we need to work with the concept of relative speed in the context of motion. Plane 'x' travels 500 miles per hour and the fighter plane 'f' needs to intercept Plane x in 6 minutes, which is 1/10th of an hour.
Since Plane x is 200 miles away, in the 1/10th of an hour, Plane x would have travelled an extra 50 miles (500 mph * 1/10), making the total distance Plane f needs to cover 250 miles (200 miles + 50 miles). To cover 250 miles in 1/10th of an hour or 6 minutes, Plane f needs to fly at a speed of 2500 mph (250 miles / 1/10 hr).
Learn more about relative speed here:https://brainly.com/question/14362959
#SPJ11
The perimeter of the square shown is 4(x+33) meters. What is the value of x if the perimeter is 28 meters
What is the least common multiple of 12, 30 and 84?
Samuel pays $20 for a shirt that is on sale. If he saved $5, what is the percent of the discount?
Answer:
Step-by-step explanation:
So, If he saved $5 then we do $20 divided by $5 which gives 4 so now we split 100% into 4 pieces which gives us 25%.
What is 30 divided by 1/2 ? A) 15 B) 20 C) 40 D) 60
Please help!
Simplify (3/10)(-5/9).
A.) 1/6
B.) -1/6
C.) 77/90
BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve for the following equation 3+6z=13+6z
A.z=-5/6
B.z=2 2/3
C.infinitely many solutions
D.no solution
Answer:
D. No solution
Step-by-step explanation:
Since, if an equation after solving gives a true statement,
Then the equation has infinitely many solution,
While, after solving the equation,
We get, a false statement,
Then the equation has no solution,
Given equation,
3 + 6z = 13 + 6z
⇒ 3 = 13
Which is a FALSE statement,
Hence, the given equation has no solution.
OPTION D is correct.
What is 300 in scientific notation
What is it range of this data? {3,3,0,8,7,10,2,6,12,0}
The weight of water is 62 1/2 lb per cubic foot water that weighs 300 lb will fill how many cubic feet
The number of cubic feet will be 4.8
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given ,
The weight of water is 62 1/2 lb per cubic
Now,
Since, foot water that weighs = 300 lb
Hence, The cubic feet = 300/62.5
= 4.8
Thus, The number of cubic feet will be 4.8
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
Final answer:
300 pounds of water will fill 4.8 cubic feet of space, calculated by dividing the total weight by the weight per cubic foot (300 lb / 62.5 lb/ft³).
Explanation:
The student is asking how many cubic feet of space would be filled by 300 pounds of water, given that water weighs 62 1/2 pounds per cubic foot. To find the answer, we divide the total weight of the water by the weight of water per cubic foot. In this case, we divide 300 lb by 62.5 lb/ft3 (since 62 1/2 pounds is the same as 62.5 pounds).
The calculation will be as follows:
Divide 300 lb by 62.5 lb/ft3.
300 lb / 62.5 lb/ft3 = 4.8 ft3.
Therefore, 300 pounds of water will fill 4.8 cubic feet of space.
Round each mixed number to the nearest whole number 7 2/14 kuanto
Solve the equation−3=8x−4y for y
To solve the equation for y, rearrange the terms and isolate the variable y on one side of the equation.
Explanation:To solve the equation -3 = 8x - 4y for y, we need to isolate the variable y on one side of the equation. First, rearrange the terms:
8x - 4y = -3
Now, move the term with x to the right side by subtracting 8x from both sides:
-4y = -3 - 8x
Finally, divide both sides by -4 to solve for y:
y = (3 + 8x) / 4
Learn more about Linear equations here:https://brainly.com/question/32634451
#SPJ3
Thirty-five percent of 160 is ?
Answer:
56.
Step-by-step explanation:
We are asked to find 35% of 160.
To 35% of 160, we will divide 35 by 100 and multiply the result by 160 as:
[tex]35\%\text{ of 160}=\frac{35}{100}\times 160[/tex]
[tex]35\%\text{ of 160}=0.35\times 160[/tex]
[tex]35\%\text{ of 160}=56[/tex]
Therefore, 56 is 35% of 160.