Answer: A. Based on the law of syllogism, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.
Step-by-step explanation:
Law of Syllogism which is also known as reasoning by transitivity is a valid argument method of a deductive reasoning that follows a sequence.
Its similar to the transitive property of equality, which states that if a=b and b=c then a=c
The given statement : If two lines meet at a 90 angle, they are perpendicular. If two lines are perpendicular, they have opposite reciprocal slopes.
let a →" two lines meet at a 90 angle"
b→ "two lines are perpendicular are perpendicular"
c→" two lines have opposite reciprocal slopes"
Since a→b and b→c
Therefore by law of syllogism, a→c
i.e. If two lines meet at a 90 angle, then they have opposite reciprocal slopes.
is -1/3 - 4/5 positive, negative,or zero
It's not zero. Zero can only be produced in adding or subtracting when two equal numbers with opposite signs are added or subtracted. -4 + 4 would give 0. Really tricky things like - 5 - (- 5) would be 0 because the 2 minus signs would give a plus.
-5 + 5 = 0
It's not positive either. Think money. If you owe someone 5 dollars and you put another 6 dollars on a credit card, your net worth isn't going up into the positive. It going down further into the negative. You wouldn't be alone. The US government does this every day. -5 - 6 = - 11
So - 1/3 - 4/5 is negative.
The answer is (though you haven't asked for it)
- 5/15 - 12/15 = - 17/15
The perimeter of a triangle is 26 centimeters. Side a of the triangle is 3 centimeters longer than side b. Side c is 1 centimeter shorter than twice side b. Find the length of each side.
a+b+c=26
a=b+3
c=2b-1
b+3+b+2b-1=26
4b=24
b=6 cm
a=6+3=9cm
c=2*6-1=11 cm
side *a* is 9 cm
side *b* is 6 cm
side *c* is 11 cm
To find the lengths of the sides of the triangle, we set up an equation using the given perimeter and the relationships between the sides. Solving the equation gives us the length of each side.
Explanation:To find the lengths of the sides of the triangle when given the perimeter and relationships between the lengths of the sides, we can use algebra to set up a system of equations. Let's denote side b as x centimeters. According to the problem, side a is 3 centimeters longer than side b, so a can be represented as x + 3 centimeters. Side c is 1 centimeter shorter than twice side b, which gives us c as 2x - 1 centimeters.
The perimeter of the triangle is the sum of its sides, so:
x + (x + 3) + (2x - 1) = 26
Solving this equation gives us x, from which we can determine the lengths of sides a and c as well.
Can someone explain how to identify linear equations please?
Linear equations are an equation between two variables that makes a straight line on a graph. You need to find the value of x or y. You can usually substitute numbers in for x or y until you get what they're equaling.
A) x=1/2
You can get this by first finding the like terms. In this case it would look like 4x-2=0. Then you'd move the constant to the right to get 4x=2. Then just divide both sides by 4 to get 1/2.
Hope this helped! :)
Rational number between 1.2 and 1.3 is 1.25 right?
witch operation flips the graph of a function over the x axis
If we put a negative sign in front of our function, it will flip the function over the x-axis.
Answer:
multiplying the function by -1.
Step-by-step explanation:
During one week, the stock market did the following: Monday rose 18 points, Tuesday rose 31 points, Wednesday dropped 5 points, Thursday rose 27 points and Friday dropped 38 points. If it started out at 1196 on Monday, what did it end up on Friday?
Answer: the answer is easy enough
Ur answer is 1,229
Step-by-step explanation:
Ok it’s simple u start with 1196 then u just need to add add and subtract as so
Monday: 1196+ 18=1,214
Tuesday: 1,214+31=1,245
Wednesday: 1,245-5=1,240
Thursday: 1,240+27=1,267
Friday: 1,267-38=1,229
So therefore it is 1,229
Answer: It ended at 1229 on Friday.
Step-by-step explanation:
Given : During one week, the stock market did the following: Monday rose 18 points, Tuesday rose 31 points, Wednesday dropped 5 points, Thursday rose 27 points and Friday dropped 38 points.
In integers , we use (+) for rise in quantity and (-) for drop in quantity.
If it started out at 1196 on Monday, then
On Friday = 1196 +18 +31-5+27-38 = 1229 [we use (+) for rise in quantity and (-) for drop ]
Hence, it ended at 1229 on Friday.
If D is the midpoint of the segment AC and C is the midpoint of segment AB , what is the length of the segment BC , if AD = 3 cm.
Answer:
6 cm
Step-by-step explanation:
Given: D is the midpoint of the segment AC and C is the midpoint of segment AB.
To Find: length of the segment BC , if AD = 3 cm.
Solution:
In line Segment AC,
D is the midpoint of Segment AC
therefore,
[tex]\text{AC}=2\text{AD}[/tex]
In line segment AB,
C is the midpoint of AB,
Therefore,
[tex]\text{BC}=\text{AC}[/tex]
putting the value of AD,
[tex]\text{AC}=2\times\text{AD}[/tex]
[tex]\text{AC}=2\times3[/tex]
[tex]\text{AC}=6[/tex] [tex]\text{cm}[/tex]
as,
[tex]\text{BC}=\text{AC}[/tex]
Length of segment BC is [tex]6[/tex] [tex]\text{cm}[/tex]
The length of segment BC is 6 cm.
The given parameters;
midpoint of line segment AC = Dmidpoint of line AB = Clength of AD = 3 cmTo find:
the length of segment BCA sketch of the given problem is presented below;
A-----------------D--------------------C---------------------------------B
From this sketch above the length of segment BC is calculated as follows;
length AC = length BC
AD is half of AC = 3cm
AC = 2 x 3cm = 6cm
Since AC = BC, BC = 6 cm
Thus, the length of segment BC is 6 cm.
Learn more here: https://brainly.com/question/18000365
Margo borrows $400, agreeing to pay it back with 5% annual interest after 6 months. How much interest will she pay?
20$ of interest 100 divided by 5= 20$$$$
What is the solution to the equation
5X + 2 ( X - 4 ) = 5X + X - 10
Answer:
X= -2
Step-by-step explanation:
I'm sorry if my addition signs looks like division signs
5X + 2 ( X - 4 ) = 5X + X - 10
5X + 2X - 8 = 5X + X - 10
7X - 8 = 6X - 10
add 8 on both sides
7X = 6X - 2
subtract 6X on both sides
X= -2
Answer:
-2
Step-by-step explanation:
I took the test and got it wright.
Help me find the andwer.
We know that vertically opposite angles are equal
Therefore, 6x-7 = 4x +23
6x -4x = 23 + 7
2x = 30
X = 30/2 = 15
Angle ABC = 6 (15) -7 =90-7 =81
3s squared + 2 = -62
[tex]3s^2+2=-62\ \ \ \ |-2\\\\3s^2=-64\ \ \ \ |:3\\\\s^2=-\dfrac{64}{3} < 0\\\\NO\ REAL\ SOLUTIONS\\\text{the equation has complex solutions}\\\\s^2=-\dfrac{64}{3}\to s=\pm\sqrt{-\dfrac{64}{3}}=\pm\sqrt{\dfrac{64}{3}}\cdot\sqrt{-1}=\pm\dfrac{\sqrt{64}}{\sqrt3}\cdot i=\pm\dfrac{8}{\sqrt3}i\\\\=\pm\dfrac{8\cdot\sqrt3}{\sqrt3\cdot\sqrt3}i=\pm\dfrac{8\sqrt3}{3}i[/tex]
the length of a rectangle is 9 inches less than twice the width. if the perimeter of the rectangle is 84 inches, find the dimensions of the rectangle.
translate each statement into mathematical language
length is nine inches less than twice width. L = 2W - 9
perimeter is 84 inches 2L +2W = 84
Substitute the expression for L (2W-9) for L in the second equation resulting in the follwing
2(2W-9) + 2W = 84
4W - 18 + 2W = 84
(4W+2W) = 84+18
6W = 102
W = 102/6 = 51/3
L = 2(51/3) - 9
= L= 17-9
L=6
Use the distributive property to factor the expression below.
5x^2 + 25
A. 5x(x + 5)
B. x(5x+ 25)
C. 5(x^2 + 25)
D. 5(x^2 + 5)
factor out the five
5(x^2+5) D
Brenda has a job offers at two companies. One company offers a starting salary of $75,000 with a raise of $2,500 each year. The company offers a starting salary of $55,000 with a raise of $5,000 each year. In how many years would Brenda’s salary be the same with both companies ? What will the salary be ?
What is f(–3) for the function f(a) = –2a2 – 5a + 4?
f(a) = –2a2 – 5a + 4
f(–3)
Replace a with -3:
-2(-3)^2 -5(-3) +4=
-2(9) +15 +4 =
-18 + 19 = 1
The quotient of a number divided by 8 increased by 2 is 12
see the problem below
PLZZZZZZZZZZZZ ANSWER FAST AND CORRECT
26 PTS AND I'LL MARK YOU THE BRAINLIEST
your answer would be a
y+5≥4
use this site next time
A high school soccer team contains 7 juniors and 17 seniors. What is the ratio of the total number of players on the team to the number of senior players?
The ratio of the total number of players on the soccer team to the number of senior players is 1.41 to 1, found by dividing the total number of players (24) by the number of seniors (17).
Explanation:The question is asking for the ratio of the total number of players on the team to the number of senior players. To get the total number of players, you should add the number of juniors and seniors together. This is, 7 juniors + 17 seniors = 24 total players. The ratio is then calculated as the total number of players divided by the number of seniors, which is, 24 total players ÷ 17 seniors. This simplifies to approximately 1.41 to 1.
Learn more about Ratios here:https://brainly.com/question/32531170
#SPJ3
The product of 15 and a number all divided by two
The expression which represents the product of 15 and a number all divided by two is (15x)/2.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
The product of 15 and a number are all divided by two.
Suppose that number is x.
Product of 15 and x = 15 × x = 15x
It is divided by 2 ⇒ (15x)/2
Hence "The expression which represents the product of 15 and a number all divided by two is (15x)/2".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
What’s the product of 1/2 x 2/3 x 3/4
1/2 x 2/3 x 3/4 = 1/4
(Sorry, I did the math wrong. I meant 1/4)
[tex]\frac{1}{2}[/tex] x [tex]\frac{2}{3}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{4}[/tex]
Hope this helps you
-AaronWiseIsBae
Which results are more likely for someone without personal finance skills? Select three options.
higher tax rates
less preparation for emergencies
fewer utility expenses
simple long-term investment strategies
increased long-term challenges
Personal finance skills are an individual's way of financing his or her accounts keeping in mind the most significant aspects like -money, property and investment. These skills improve an individual's quality of life.
Hence, a person who does not know these skills gradually result in the following -
1. higher tax rates - A person without personal finance skills will not be able to save his taxes. He does not know about various investment options that can save his tax.
2. less preparation for emergencies - A person lacking these skills will not timely manage his accounts and if an emergency occurs, he might not have money to surpass that emergency.
3. increased long-term challenges - A person who does not invest timely and in the right things can end up not earning any money from these investments. Hence, he will not be prepared for further challenges that will come once he ages. He cannot have enough money by the time he retires.
Have a nice day :)
Which arrangement shows 275 , 5.36, 535 , and 336 in order from least to greatest?
A 5.36, 275 , 336 , 535
B 5.36, 275 , 535 , 336
C 275 , 5.36, 336 , 535
D 535 , 5.36, 275 , 336
it costs $36.75 for 3 tickets to visit the science center. it costs $51 for 4 tickets to visit the zoo. which attraction will cost more money for a group of 12 students to visit? how much more?
Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153
The Zoo costs more than the Science Center.
To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6
what is p(2) given p(n)=6-2|1 + n|
p = 0 hope this helps
8 x 5 ÷ 2 - (5+3) Please help
Answer:
your answer is 12
Step-by-step explanation:
5+3=8
8 x 5 / 2 - 8
5 x 8=40
40 / 2 - 8
40 / 2=20
20 - 8=12
identify the coordinates of four points on the line with given slope is 0.2 and y-intercept is 0.3
Final answer:
The four points on the line with a slope of 0.2 and y-intercept of 0.3 are (0, 0.3), (1, 0.5), (2, 0.7), and (3, 0.9).
Explanation:
The equation of the line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 0.2 and the y-intercept is 0.3. To find four points on the line, we can choose any x-values and substitute them into the equation to find the corresponding y-values.
For example, let's choose x = 0, 1, 2, and 3:
When x = 0, y = 0.3
When x = 1, y = 0.5
When x = 2, y = 0.7
When x = 3, y = 0.9
So, the four points on the line with a slope of 0.2 and y-intercept of 0.3 are (0, 0.3), (1, 0.5), (2, 0.7), and (3, 0.9).
a dog kennel boards dogs for $8 a day the kennel will also groom a dog for $12 write an equation that gives the total cost in dollars of lodging a dog and having it groomed once before it comes home as a function of the number of days the dog is at the Kennel
Answer:
T(d) = $12 + ($8/day)d
Step-by-step explanation:
Total(d) = $12 + ($8/day)d, where d represents the number of days the dog is in the kennel.
I think u mean what i put below if not sorry i wasted your answers.....
Bob was taking his dog into his locol dog bording and grooming area. Bob wants to know how much it would cost him to bord his dog for 2 day and get groomed. If it cost $8 a day for bobs dog to saty there and $12 to be groomed . what would bobs bill be for one groom and 2days of bording.
So, 8x2=16 then do 16+12=28
so bob's bill would be $28
Solve for the given variable.
at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite directions the dart express train goes three times faster than the hold freight train. fifteen minutes later the two trains are already 30 miles apart find the speed of each train?
Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
Explanation:
Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.
It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,
[tex]3x=y[/tex] ....(1)
The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of [tex](x+y)[/tex] miles per minute.
[tex]Distance=Speed\times Time[/tex]
The distance between both train in 15 minutes is represented by [tex]15(x+y)[/tex].
According to the given information the distance between trains is 30 miles in 15 minutes.
[tex]15(x+y)=30[/tex]
[tex]x+y=2[/tex]
Use equation (1) and put [tex]y=3x[/tex]
[tex]x+3x=2[/tex]
[tex]4x=2[/tex]
[tex]x=0.5[/tex]
Put this value in equation (1), to find the value of y.
[tex]y=3(0.5)[/tex]
[tex]y=1.5[/tex]
Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
A herd of 52 horses has 12 white and some black horses. What is the ratio of white horses to black horses.
Answer:
12/40
Step-by-step explanation:
There are 12/52 white horses.
there are 40/52 black horses.
ps.
There is no such thing as a white horse, only gray lol.