Answer:
The Pythagorean theorem states that, for all 90-degree triangles, the relationship between the lengths of the sides is given by the formula a^2 + b^2 = c^2.
DISTANCE FORMULA
The study of geometry in a graphical environment is called co-ordinate geometry.
In co-ordinate geometry, the standard formula for calculating the distance between 2 points is called the distance formula.
Step-by-step explanation:
Answer:
Short answer: They are essentially the same thing.
The distance formula is derived from the Pythagorean Theorem
We have distance formula:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Pythagorean Theorem:
[tex]a^2+b^2=c^2 \Rightarrow c=\sqrt{a^2+b^2}[/tex]
The shortest distance between two points if a line. If you draw a line in the cartesian plane both points will have an x-coordinate and y-coordinate. Note that it forms a right triangle! Therefore, the distance between those points is the hypotenuse.
We can have a point [tex]a=(x_{1}, y_{1})[/tex] and point [tex]b=(x_{2}, y_{2})[/tex]
But once [tex]a[/tex] and [tex]b[/tex] can be positive or negative:
[tex]c = \sqrt{a^2+b^2}= D = \sqrt{(\pm a)^2+(\pm b)^2}[/tex]
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will 3:4. Find their present ages..................pls help me
Answer: 8:11
Step-by-step explanation:
5 and 3 is Hari's ages.
5+3=8 (Now Hari is 8 ages)
7 and 4 is Harry's ages.
7+4=11 (Now Harry is 11 ages)
Ratio is 8:11
Answer:
Harry is 11 and Hari is 8
Step-by-step explanation:
5:7+3:4=8 and 11
Which of the following is a rational function?
Answer:
the answer is A
Step-by-step explanation:
a rational function is a ratio of two polynomial that has a denominator and numerator and can not be zero
Find f(2) if f(x)=(x+1)^2
a. 9
b. 6
c. 5
Answer:
a. 9
Step-by-step explanation:
If f is at 2, then you subsitute anywhere that an x is with a 2. So in this particular equation we get
f(2) = (2+1)^2
f(2) = (3)^2
f(2) = 9
reduce to simplest form -1/3-(-3/5)
Answer:
4/15
Step-by-step explanation:
-1/3-(-3/5)
Subtracting a negative is like adding
-1/3 + 3/5
We need to get a common denominator of 15
-1/3 *5/5 + 3/5 *3/3
-5/15 + 9/15
4/15
Answer:
4/15
Step-by-step explanation:
-1/3 + 3/5 (2 negatives make a positive)
Taking the lowest common multiple, we get:
= (- 5 + 9)/15
= 4/15
Hope this helps!
Why do some quadratic graphs move left or right and others do not? Is there a correlation between this and them moving up and down? How would you demonstrate your reasoning is correct?
Answer:
(x + 3)^2 is left 3 because it becames 0 at -3
(x - 3)^2 is right 3 because it becames 0 at 3
x^2 +3 is up 3 because your just adding 3 units up
x^2 - 3 is down 3 because your just subtracting 3 units down
Step-by-step explanation:
If Takeshi adds his weight to 250 pounds, he gets 403 pounds. How much does Takeshi weigh?
Answer:
153 pounds
Step-by-step explanation:
Just subtract 250 from 403
Answer:
takeshi weights 153 pounds
Step-by-step explanation:
403 - 250
Haley and her 4 friends decide to go out to dinner at Applebee's. The bill for their table came to $65.30. If they want to split
the bill evenly between them, how much will each person pay?
Answer:
$13.06
Step-by-step explanation:
There are five people so 65.30/5 = 13.06
pls pls pls pls help
Answer:
the answer is option A
Step-by-step explanation:
The chemicals in my swimming pool use a ratio of 2 tablets of chlorine for every 5 days. Which ratio shows the number of chlorine tablets needed for 20 days? A. 5 to 20 B. 8 to 20 C. 7 to 20 D. 3 to 20
Answer:
The answer would be B. 8 to 20
Step-by-step explanation:
You use 2 tablets per 5 days and there are 20 days 5/20=4 4 times you need to add tablets 4 times 2 is 8 which would make the ratio 8 to 20. Hope this helped. :)
Answer:
B
Step-by-step explanation:
Works on edge 2021
Help! Please show work and identify the solution or how many solutions there are to the system
Answer:
Step-by-step explanation:
the two given lines are parallel.
Hence they do not intersect.
or they have no solution.
In the notation "s(x) = ...," what does "s(x)" represent?
A.
The value of x depends on the value of s(x), since xis a function of s.
OB.
There is not enough information to answer this question.
C.
The value found when sis multiplied by the value x.
D.
The value of s(x) depends on the value of x, since s is a function of x.
Answer:
C
Step-by-step explanation:
I think
True or False?
When multiplying powers with the same base, you subtract the exponents. When dividing powers with the same base, you multiply the exponents. When raising a power to a power, you divide the exponents? EXPLAIN YOUR REASONING
Answer:
False
Step-by-step explanation:
(x^3)(x^4) = (xxx)(xxxx) = x^7 when multiplying you add the exponents
(x^5)÷(x^2) = (xxxxx)÷(xx) = xxx or x^3 because two of the x's reduce therefore when dividing you subtract the exponents
(x^2)^3 = (x^2)(x^2)(x^2) = (xx)(xx)(xx) = x^6 when raising a power to a power you multiply the exponents
Vivian worked 19 hours more than Malik last month. If Vivian worked 7 hours for every 2 hours that Malik worked, how many hours did they each work? Note: these are proportion problems
Answer:
Malik 7.6
Vivian 26.6
Step-by-step explanation:
Vivian is working at the rate of 7hrs per 2 hours so basically 3.5hrs per hour Malik worked. In equation, it looks like:
V=3.5m where M is the number of hours Malik worked.
We know Vivian works 19 more hours than Malik and that in equation would be:
m+19 = V
So equate the two
3.5m = m+19
3.5m-m=19
2.55m=19
m=7.6
V=7.6+19 = 26.6
Place the following values in order from least to greatest: 3/4, 0.7, 4/5, 65.5%, 0.72
Answer:
4/5, 3/4, 0.72, 0.70, %65.5
Step-by-step explanation:
65.5/100=0.655
answer please need help and is struggling
Answer:
q < 5
Step-by-step explanation:
Since there is an open circle it means there is no equal sign
The line goes to the left so it is less then q < 5
Answer:
q<5
Step-by-step explanation:
The sign is < because the arrow is point left and has an open circle. 5 because that is where the arrow starts.
The figure shows a carpeted room. How many square feet of the room is carpeted?
Answer:
40
Step-by-step explanation:
So split it into two shapes. Two rectangles.
Rectangle 1 = 4 * 5 = 20
Rectangle 2 = 2 * 10 = 20
20 + 20 = 40
Answer:
40 square feet
Step-by-step explanation:
we can cut the carpeted space into 2 parts for easier calculation.
we can do 4 x 5 to find the first part, which equals to 20 square feet.
then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.
Just add up both of the calculations(20 +20) then you'll get your answer!
the answer is 40 square feet.
Hope this helps and you understand now!
(3+4x)(3-4x)=
THIS IS SO HARD IM GOING CRAZY !!!!!!!!!!!!
Step-by-step explanation:
Actually, it isn't that hard. Remember the difference of squares? (a + b)(a - b) = a² - b² and in this case 9 is a and 4x is b so our answer is 81 - 16x².
Answer:
9 - 16x²
Step-by-step explanation:
(3+4x)(3-4x)= 3²- (4x)²= 9 - 16x²
Which of these values could be the slope of the line? Select
two options.
-2
-8/5
0
7/4
3
Answer:7/4 and 3
Step-by-step explanation:
Just took the test
Answer:
I think that the answer is D E
The dot plots show exam scores for 25 students. Which exam has an outlier?
Is my answer correct?
Answer:
yes of course it is correct good job
Answer:
yes your answer is correct
Please help! Read the question below!
Answer:1 quarter, 2 dimes and 1 nickel, 5 nickels, 3 nickels and 1 dime
Step-by-step explanation:
plz do them both since ur here now
Answer:
19 is d 26 is c 27 is b
Step-by-step explanation:
17n=0.5n what is the value of n
Answer:
N=0
Step-by-step explanation:
If we wanted to answer the question mathematically, we could solve like so:
17n=0.5n
17n-0.5n=0.5n-0.5n
16.5n=0
n=0
I need help solving this asap
Answer:
the answer will be A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)
The simplest polynomial expression is
-26x^2+56x-15
Answer: -26x^2 + 56x -15
Step-by-step explanation:
3x(-2x + 7) - 5(x -1) (4x -3)
-6x^2 + 21x - (5x + 5)(4x-3)
-6x^2 + 21x -20x^2 +15x + 20x -15
= -26x^2 + 56x -15
What is the measure of ED (the minor arc) in the diagram below?
HELPPP ASAP PLS
Answer:
C
Step-by-step explanation:
The measure of the inscribed angle DEF is half the measure of its intercepted arc, that is
[tex]\frac{1}{2}[/tex] ∠ DEF = arc ED , that is
arc ED = 2 × 78° = 156° → C
Option c 156 is correct.
Angle of the arc at tangent EF = 78
Area of circle is given by the pie times square of radius.
Since Angle made by chord with tangent is equal to halve the angle made by cord with its radius.
So
2 ∡DEF = measure of arc ED
= 2 x 78
= 156
Thus, the measure of are ED is 156°
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
A skier slides down a 750 m slope in 12.5 s. What is the average
velocity for the trip?
Answer:
The average velocity for the skier is exactly 60 meters per second.
Step-by-step explanation:
Divide the distance which is 750 meters and 12.5 seconds and you get 60 meters per second. Velocity formula --> 750 meters / 12.5 seconds = 60 m/seconds.
Plz mark brainliest if u r cool
.
The table below shows the fees David
charges for yard work.
David's Yard Work Fees
Hours
2
4
6
Fee ($)
70
140
210
How much money does David charge for
yard work that takes 4.5 hours?
Graph the line that has a slope of 1/6 and includes the point (0, 7).
What is a slope?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line. It is denoted my letter 'm'
y = m x + c
m is the slope
Given data ,
Let the point be P ( x , y ) = P ( 0 , 7 )
Slope m of line = 1 / 6
The equation of line where the point P ( 0 , 7 ) and slope 1/6 is calculated by
y = m x + c
Substitute the values of x and y in the equation , we get
7 = ( 1/6 ) × 0 + c
So , c = 7
Therefore , the equation becomes y = ( 1 / 6 ) x + 7
Hence , the graph of the equation can be described
what is 9y5−4y3−8y7−5y6+3y4 written in standard form?
Answer:
-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3
Step-by-step explanation:
Please be sure to use " ^ " to indicate exponentiation. Then,
your 9y5−4y3−8y7−5y6+3y4 becomes 9y^5 - 4y^3 - 8y^7 - 5y^6 + 3y^4.
We must now write that in descending order by powers of y:
-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3
If a man weighs 300 pounds on Earth, his mass on Earth is 136 kilograms. What would his mass be if he was on the moon?