The line through the points (6, 3) and (4, –5) is perpendicular to the line through which of the following points?
Answers
Answer:
Step-by-step explanation:
( 6 , 3 )
( 4 , - 5 )
m = [tex]\frac{-5-3}{4-6}[/tex] = 4
The slope of the perpendicular line is opposite reciprocal or [tex]-\frac{1}{4}[/tex] , so, the answer is (a).
Related Questions
Part B Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?
Answers
The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.
How to explain the square?From the diagram, each side is called the side length. Therefore,
Side length of square 4 = a + bSide length of square 5 = a + bIf the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.
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A plane takes off from an airport at an angle of 14.5°. If the plane is traveling at a velocity of 220 feet per second, how high off of the ground is the plane at 10 seconds?
Answers
The distance of the plane travelling at 220 feet per second off the ground is 151.71feet
How to calculate the maximum height of an objectMaximum height of the plane is expressed as:
[tex]M=\frac{u^2sin^2\theta}{2g}[/tex]
u is the velocity = 220ft/s
θ is the angle of elevation = 14.5°.
g is the acceleration due to gravity
Substitute
[tex]M=\frac{u^2sin^2\theta}{2g}\\M=\frac{220^2sin^2(14.5)}{2(10)}\\M=151.71feet[/tex]
Hence the distance of the plane off the ground is 151.71feet
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Option a to buy a house has a monthly cost of 618 dollars, up-front cost of 24,000 dollars, and advantages of a home equity and a yard for a pet. option b to rent close to work has a monthly cost of 950 dollars, up-front cost of 1,900, and advantages of convenient location, garage, and pool. option c to rent further out has a monthly cost of 600 dollars, up-front cost of 1,200, and advantages of 2 bedrooms, light-rail, and pool. which housing choice fits within your recommended monthly budget of $650-780? which option requires you to have at least $24,000 saved?
Answers
Option c is the best option that can be recommended since it has the least total cost for a year.
What is the up-front cost?An upfront cost is an initial sum of money owed in a purchase or business venture.
Option a:
Monthly cost = $618
Up-front cost = $24000
Total cost for a year= 618*12+24000 = $31416
Option b:
Monthly cost = $950
Up-front cost = $1900
Total cost for a year= 950*12+1900= $13300
Option c:
Monthly cost = $600
Up-front cost = $1200
Total cost for a year= 600*12+1200= $8400
Therefore, option c is the best option that can be recommended since it has the least total cost for a year.
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Answer:
1st question is A and C only, 2nd question is A only
Step-by-step explanation:
Got it right on edge. Have a great day :)
John bought a crate of floor tiles $100. the crate had 5 boxes of floor tiles. each box contained 40 floor tiles. what is the cost per box ?
Answers
Answer:
20
Step-by-step explanation:
100/5=20
Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 11)° = cos(–3x + 79)°
Answers
Answer:
x = 8
Step-by-step explanation:
3x + 2 + 7x + 8 = 90
10x + 10 = 90
10x = 80
x = 8
is x – 4 a factor of P(x) = x^4 - 4x^2 – 4x + 8 ? Explain.
Answers
Answer:
(x3 - 2x2 - 4) • (x + 2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((x4) - 22x2) - 4x) - 8
STEP
2
:
Checking for a perfect cube
2.1 x4-4x2-4x-8 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x4-4x2-4x-8
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x4-8
Group 2: -4x2-4x
Pull out from each group separately :
Group 1: (x4-8) • (1)
Group 2: (x+1) • (-4x)
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x4-4x2-4x-8
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -8.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,8
Name any two timber plans found in the Terai region of Nepal? Where is Red panda found? Why is it called an endangered bird?
Answers
Step-by-step explanation:
red Panda is found in langtang national park and makalu-barun national park in Nepal .
timber planks for in the religion of Nepal sal, sissoo& Khair.
I'm injured birds are any bird fishing that is at risk of extinction because of a sudden rapid increase in population or a loss of its critical habitat .
Thomas lives more than 0. 55 km and less than 0. 75 km from his school.
Thomas lives from his school?
A. 0. 06 km
B 0. 50 km
c. 0. 60 km
D. 1. 30 km
Which choice could be the distance Thomas lives from school?
Answers
Answer:
D. answer po
Step-by-step explanation:
Tama yan na D
Originally, a department store bought a set of dishes at a cost of $57.68 and marked it up 125%. After a month, the set of dishes had not sold, so the store marked it down 50%. What was the discounted price?
Answers
Answer:
$64.89
Step-by-step explanation:
57.68 + 1.25 × 57.68
= 57.68 + 72.1
= 129.78
The original price was $129.78.
129.78 – 0.50 × 129.78
= 129.78 – 64.89
= 64.89
The discount price was $64.89.
I need actual help on this.
Answers
Answer:
the average rate of change is D. -4
Math homework pls help!!!
Answers
Answer:
17.8
Step-by-step explanation:
The power ands the square root cancel out.
Complete the table.
Milkshakes Cost
Answers
Answer:
3 milkshakes will cost 0.75 cents
4 milkshakes will cost $1.00
Step-by-step explanation:
3 x 0.25 = 0.75
4 x 0.25 = 1.00
Have an amazing day!!
Please rate and mark brainliest!!
4x — 3 = 6х - 7
i need it now
Answers
Answer:
x = 2
Step-by-step explanation
4x - 3 = 6x - 7
+7 +7 Adding seven so we can isolate on the Xs
4x + 4 = 6x
-4x -4x Once again, trying to isolate the X
4 = 2x
/2x Divide by 2
2 = x
Find the value of d that makes line m ll n
Answers
Answer:
x = 45.
Step-by-step explanation:
The angle between the shorter line and line n is 90 degrees, so
2x must be 90 degrees for m and n to be parallel.
x = 45.
What is x in this equation -3x+7 = 1
Answers
How much is 75% of 10 liter of milk?
Answers
Answer:
7.5 liters of milk
Step-by-step explanation:
Multiply 10 by 0.75
Hope that helps!
A triangle has sides that measure 2 units, 5 units, and 5. 39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3. 14 for π, and round your answer to the nearest whole number. 39 units2 25 units2 49 units2 12 units2.
Answers
The circumference of the circle is equal to the perimeter of the triangle, then the area of the circle is 12 square units. Option D is correct.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A triangle has sides that measure 2 units, 5 units, and 5.39 units.
The circumference of the circle is equal to the perimeter of the triangle. Then the radius of the circle will be
[tex]2 \pi r = 5 + 2 +5.39\\\\r = 1.97[/tex]
Then the area of the circle will be
[tex]\rm Area \ of \ circle = \pi r^2\\\\Area \ of \ circle = \pi 1.97^2\\\\Area \ of \ circle = 12.21 \approx 12[/tex]
The area of the circle is 12 square units.
More about the circle link is given below.
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8. Michelle has 0.5 pound of red peppers
and 0.50 pound of green peppers.
Which number sentence correctly
compares the amounts of red and
green peppers that Michelle has?
A 0.5 = 0.50
B 0.5 > 0.50
C 0.50 > 0.5
D 0.50 <0.5
Answers
Answer:
A 0.5 = 0.50
Step-by-step explanation:
The amount of green and red papers are actually equal because green paper is 0.50 and red is 0.5
These two are equal.
In a decimal it doesn't matter if you but 0 after the number, it matters when you but it before the number, because then the value will decrease
Maria creates a new board game. Her board game uses toothpicks as game pieces. Each board game requires 10
toothpicks. If Maria has 62 toothpicks, how many of her board games will she be able to put together?
Answers
Answer:
6 games
Step-by-step explanation:
The number of games can be found by determining the number of groups of 10 Maria can make.
62/10 = 6.2
Maria can make 6 groups of 10 and will have a fraction of a group left over. Maria will be able to put together 6 of her board games.
A pool company offers a pool with dimensions x and 2x. They also include a 3 foot deck around the entire pool.
1. Write an equation to represent the area of the pool and deck combined.
2. If someone wants a 10ft wide pool (x = 10) how many square feet must they have available in their back yard?
Answers
Answer:
1) area = (x + 3)(2x + 3) ft²
2) 299 ft²
Step-by-step explanation:
Question 1
Area of a rectangle = width x length
Given:
width = x + 3length = 2x + 3⇒ area = (x + 3)(2x + 3) ft²
Question 2
If x = 10:
⇒ area = (10 + 3)(2(10) + 3)
= 13 · 23
= 299 ft²
#1
New dimensions=x+3 and 2x+3ftSo
Area:-
Length ×Breadth(x+3)(2x+3)x(2x+3)+3(2x+3)2x^2+3x+6x+92x^2+9x+9ft^2#2
Put x=10
2(10)^2+9(10)+92(100)+90+9200+99299ft^2michael is driving to his mother house after 1 hour and 45 minutes he is two-thirds of the way there At this rate how many total hours will it take michael to drive hsi mothers hosue
Answers
Using proportions, it is found that it will take Michael 2.625 hours to drive to his mother's house.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In 1 hour and 45 minutes, which is equivalent in hours to [tex]1 + \frac{3}{4} = \frac{7}{4}[/tex], he is two-thirds of the way. How long it takes him to reach 100% = 1 of the way? The rule of three is given by:
[tex]\frac{7}{4}[/tex] hours - [tex]\frac{2}{3}[/tex] way.
x hours - 1 way
Applying cross multiplication:
[tex]\frac{2}{3}x = \frac{7}{4}[/tex]
[tex]2x = \frac{21}{4}[/tex]
[tex]x = \frac{21}{8}[/tex]
x = 2.625.
It will take Michael 2.625 hours to drive to his mother's house.
More can be learned about proportions at https://brainly.com/question/24372153
A philanthropist pledges to donate 13% of a fund each year. If the fund initially has $761,000.00, how much will the fund have after 16 years?
Please type answers with no commas and round to 2 decimal places.
Answers
If the philanthropist pledges to donate 13% of a fund each year, at the end of 16 years, the fund will have $35,517,190.20.
How much would the fund have after 16 years?The formula that can be used to determine the value of the fund after 16 years is:
Initial value of the fund x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
(1.13^16 - 1) / 0.13 = 46.671735
46.671735 x $761,000.00 = $35,517,190.20
To learn more about how to calculate future value, please check: https://brainly.com/question/24108530
Abby practiced her horn for 3/4 of an hour every day for 12 days?
a) How many hours did she practice in those 12 days?
b) How many minutes did she practiced in those 12 days?
Answers
Answer:
9 hours, 540 minutes
Step-by-step explanation:
12 x 0.75 = 9
A median drawn to a side of a triangle is
Select one:
O a. a ray
O b. a segment
O c. a line
Answers
It took 24 hours to fill up the town swimming pool with 18,000 gallons of water. How many gallons were filled in 1 hour?
Answers
Answer:
750 gallons per hour
Step-by-step explanation:
divide 18000 by 24 and you get 750
Find the value of cos⁻¹ (cos7π/6).
Answers
Answer:
5π/6
Step-by-step explanation:
Given :
cos⁻¹ (cos7π/6)Solving :
We know that : cos⁻¹ cosθ = θBut we can't just do that in this caseBecause the range of cos values is [0, π]Clearly, our value does not lie in this rangeWe have to take a different Quadrant other than the 3rd Quadrant which gives cos a negative valueThe 2nd Quadrant also has cos values negativeTherefore,cos⁻¹ cos (π - π/6)cos⁻¹ cos (5π/6)⇒ 5π/6 ∈ [0, π] ⇒ It lies in the range!Answer:
5π Over 6
Step-by-step explanation:
You can write 7π6 as (π+π6)Thus we can clearly see the angle falls in the third quadrant. And the cosine value in third quadrant is always negative. Hence, cos(π+π6)=−cos(π6)coming back to the question cos−1[cos(7π6)]=cos−1[−cos(π6)]=π−cos−1[cos(π6)]=π−π6=5π6
Figure ABCDEF is a regular polygon. What is the measure of cdq?
Answers
Answer: 60
Step-by-step explanation: first do 6-2 and multiple that by 180 after that your going to divide that by 6 u end up with 120 after subtract 180-120 = 60 .
What value completes this expression?
4m + ____m = 4m (1 + 6)
Answers
Answer:
24
Step-by-step explanation:
4(1)m + 4(6)m
= 4m + 24m
classify these polynomials based on the degree and number terms 3x^2
Answers
Answer:
3x² is "monomial" according to the number of term(s) and "Quadratic" based on degree
If you can help me that would be great the instructions are to factor these polynomial Don’t answer just to get pointsNO LINKS!!!!!!!!!!!
Answers
Answer:
3. 3(x+y)(x-y)
4. (y²+4)(y+2)(y-2)
5. 2(3x+1)(x+2)
Step-by-Step:
3. 3(x²-y²) = 3(x+y)(x-y)
4. y⁴-16 = (y²+4)(y²-4)= (y²+4)(y+2)(y-2)
5. 6x²+14x+4 = 2(3x²+7x+2) = 2(3x+1)(x+2)
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