Answers
Answer:
x -3y +4Pythagorean theoremStep-by-step explanation:
You want to find the horizontal and vertical distances between two points, and you want to know how to use those to find the distance between those points.
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horizontal distanceThe x-coordinate of a point is its horizontal distance from the y-axis. The horizontal distance between two points will be the difference of their x-coordinates.
If the points are (3, -4) and (x, y), the x-coordinates are 3 and x. The difference between those coordinates can be written as x-3. (Usually, we subtract the first point from the second one.)
The horizontal distance from (3, -4) to (x, y) is (x -3).
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vertical distanceIn like fashion, the y-coordinate of a point is its vertical distance from the x-axis. The vertical distance between two points will be the difference of their y-coordinates.
For the points (3, -4) and (x, y), the y-coordinates are -4 and y. The difference between those coordinates is y -(-4) = y +4.
The vertical distance from (3, -4) to (x, y) is (y +4).
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total distanceAs the attachment shows, the horizontal and vertical distances between the two points can be considered to be the legs of a right triangle. The "total" distance between the points is the straight-line distance. It is the hypotenuse of that triangle.
The Pythagorean theorem gives the relation between the sides and hypotenuse of a right triangle. In this context, the Pythagorean theorem can be used to create an equation showing the relationship between the legs of the triangle and the distance from (x, y) to the center. (That distance is the radius.)
In particular, the equation created is ...
(x -3)² +(y +4)² = 7²
_____
Additional comment
For right triangle legs 'a' and 'b', and hypotenuse 'c', the Pythagorean theorem tells you ...
a² +b² = c²
The sum of the squares of the sides is equal to the square of the hypotenuse.
Related Questions
5. Find (f◦g)(x) and (g◦f)(x) and the domain of each.
f(x)=x2−3, g(x)=2x−
Answers
Answers:
[tex](f \circ g)\;(x) = 4x^2 - 12x + 6\\\\(g \circ f)\;(x) = 2x^2-9\\\\[/tex]
The domain for both is "all real numbers".
============================================================
Explanation:
The work is shown below in the attached image.
The domain for each composite function is the set of all real numbers because we don't have to worry about things like dividing by zero, or taking the square root of a negative number. Any x value is allowed.
The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
Answers
The true statement about the right rectangular prisms include:
The angles in the smaller prism measure 90 degrees.The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.How to illustrate the prism?It should be noted that a prism simply means a shape that has two identical shapes that face each other.
Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.
Learn more about prism on:
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which equation represents a line which is parallel to the line y=8/7x-6?
Answers
Answer: 8x-7y = 56
Step-by-step explanation:
Please help
Use the following data set to answer questions 9-16:
11, 18, 8, 15, 24, 14 9.
9. Identify the median. Round to the nearest tenth.
10. Calculate the mean. Round to the nearest tenth.
11. Calculate the mode. Round to the nearest tenth.
12. Predict how the median will change if a 21 is added to the data set. Identify the new median.
13. Predict how the mean will change if an 18 is added to the data set. Calculate the new mean.
Answers
Answer:
9. Median: 14
10. Mean: 14.1
11. Mode: No Mode
12. New Median: 14.5
13. New Mean: 14.625
the path of a cliff diver as he dives into a lake, is given by the equation y = -(x-10)^2+75, where y metres is the diver’s height above the water and, x meters is the horizontal distance travelled by the diver. what is the maximum height the diver is above the water?
Answers
Answer:
The highest point will be (10, 75)
Step-by-step explanation:
What is the greatest common factor of the numerator of ?
Answers
The greatest common factor of the numerator and denominator of the rational expression is x - 4
How to determine the greatest common factor?The fraction expression is given as:
[tex]\frac{5x-20}{x^2-2x-8}[/tex]
Factorize the numerator and the denominator
[tex]\frac{5x-20}{x^2-2x-8} = \frac{5(x-4)}{(x- 4)(x + 2)}[/tex]
Cancel out the common factor
[tex]\frac{5x-20}{x^2-2x-8} = \frac{5}{(x + 2)}[/tex]
The common factor that was canceled out is x - 4
Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4
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The first TV Chrystal had was 7 inches by 9 inches. She now has a TV that is 56 inches by 72 inches. What is the scale factor?
Answers
Answer:
8
Step-by-step explanation
to find the scale factor you find out by how many times the numbers have gone bigger or smaller
7inches by 9inches
56inches by 72inches
7×8= 56
9×8=72
7 and 9 have changed 8 times more so the scale factor is 8
A. -4
B. 0
C. 1
D. 4
Answers
Answer: B) 0
Explanation:[tex]\rightarrow \sf y = \dfrac{1}{2} x - 2[/tex]
insert x = 4
[tex]\rightarrow \sf y = \dfrac{1}{2} (4) - 2[/tex]
simplify
[tex]\rightarrow \sf y = 2 - 2[/tex]
subtract
[tex]\rightarrow \sf y = 0[/tex]
Does anyone knows the answers to these
Answers
Range is 17.4
IQR is 6
NEED HELP ASAP
Consider any conic section and discuss an application of the conic that you find most interesting. Include an example of a mathematical equation that models the application. Also, describe why you think this application is relevant and beneficial to society. (Note: To share your equation in the discussion forum, you might need to write your equation as if you were entering it into a graphing calculator.)
Answers
Conic sections are shapes that are formed when the surface of a cone intersects with a plane shape
Types of conic sectionThe types include
HyperbolaParabolaEllipseApplication of conic section (Parabola)The parabola can be applied in solving quadratic equations, functions and graph.
The general equation of a parabola is: y = a(x - h)² +k
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a right triangle has a hypotenuse of 25 inches and a height of 7 inches .what is the area of the triangle?
Answers
87.5
25x7=175
175/2=87.5
I NEED HELP WITH THIS QUESTION PLEASE, i don't have much time T^T
i'll give brainliest and points, thank you in advancee <33
an explanation for future reference would be appreciated!!^^
Answers
Answer:
Option b is the correct answer
Step-by-step explanation:
[tex]\cos x = -\frac{12}{13}[/tex] (Given)Formula relating sin x and cos x is given as below:[tex]\sin^2x = 1-\cos^2x[/tex][tex]\implies \sin^2x = 1-\bigg(-\frac{12}{13}\bigg)^2[/tex][tex]\implies \sin^2x = 1-\frac{144}{169}[/tex][tex]\implies \sin^2x = \frac{169-144}{169}[/tex][tex]\implies \sin^2x = \frac{25}{169}[/tex][tex]\implies \sin x =\pm\sqrt{ \frac{25}{169}}[/tex][tex]\implies \sin x =\pm \frac{5}{13}[/tex]It is given that: 180° < x < 270°. This means x falls in the third quadrant. In third quadrant sin ratio is negative.[tex]\implies \sin x =- \frac{5}{13}[/tex]Now, we will find the value of tanx by dividing sinx by cosx.[tex]\implies \tan x =\frac{\sin x}{\cos x}[/tex][tex]\implies \tan x = \frac{-5/13}{-12/13}[/tex][tex]\implies\red{\bold{ \tan x =\frac{5}{12}}}[/tex]tan (90° + x) and tan x both lie in the interval 180° < x < 270°. So, the values of both will be equal.[tex]\implies \tan (90\degree + x ) =\tan x[/tex][tex]\implies \huge{\purple{\tan (90\degree + x ) =\frac{5}{12}}}[/tex]solve for x
x/7 = 3/5 enter answer as decimal
Answers
Hey there!
ORIGINAL EQUATION:
x/7 = 3/5
CROSS MULTIPLY THE FRACTIONS
x(5) = 3(7)
5(x) = 3(7)
SIMPLIFY IT!
5x = 21
DIVIDE 5 to BOTH SIDES
5x/5 = 21/5
SIMPLIFY IT!
x = 21/5
x = 4 1/5
Therefore, the answer should be:
x = 21/5
OR
x = 4 1/5
EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE BOTH EQUIVALENT TO EACH OTHER!
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Tom has 20 girls in his seventh-grade class. The ratio of girls to boys is 5:4. How many boys does he have in his seventh-grade class?
Answers
Answer:
16 boys
Step-by-step explanation:
in ratio form girls are represented by 5 so if 5 equals to 20 what about 4 and that's how I got the answer good day.
What is the area,in square meters,of the isosceles trapezoid?
Answers
Step-by-step explanation:
the area of a trapezoid is
(base1 + base2)/2 × h = (18.6 + 9.2)/2 × 7.2 =
= 27.8/2 × 7.2 = 13.9 × 7.2 =
= 100.08 m²
HELP NOW PLEASEE
h(x)=x^(2)+x+9
find h (-2)
find h (4)
and find h (0)
Answers
Answer:
11, 29, 9
Step-by-step explanation:
substitute x = - 2, 4, 0 into h(x)
h(- 2) = (- 2)² + (- 2) + 9 = 4 - 2 + 9 = 2 + 9 = 11
h(4) = 4² + 4 + 9 = 16 + 4 + 9 = 29
h(0) = 0² + 0 + 9 = 0 + 0 + 9 = 9
A Block of wood has a mass volume of 0.8g and volume of 16.0cm³. what is the density?
Answers
Answer:
[tex]0.05cm {}^{3} [/tex]
Step-by-step explanation:
[tex]density \: is \: the \: mass \: per \: unit \: volume \: of \: an \: object \: \\ density = \frac{m}{v} \\ density = \frac{0.8}{16} = 0.05cm {}^{3} [/tex]
GIVING BRAINLIEST!!!!!
Answers
Answer:
x = 18
Step-by-step explanation:
The angles (x)° and (4x)° are complementary, meaning they form a 90° angle.
x + 4x = 90Combine like terms :
x (1 + 4) = 905x = 90Divide both sides by 5 :
5x/5 = 90/5x = 18Solve the equation X = 64 for x.
ОА. -32, 32
O B. -8, 8
OC. 8
OD 32
please help
Answers
Answer:
B
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
complete the solution of the equation. find the value of y when x equals -2. -9x-3y=6
Answers
Answer:
y= 4
Step-by-step explanation:
-9x-3y=6
Let x = -2
Substitute for x in the equation
-9(-2) -3y = 6
18 -3y = 6
Subtract 18 from each side
18-3y-18 = 6-18
-3y = -12
Divide by -3
-3y/-3 = -12/-3
y = 4
REALLY REALLY NEED HELP!!!! MATH GENIUSES OUT THERE!!!! ANYONE!!!!!! FOR EDGE!!!!!!
Answers
Answer:
on the attached pdf
Step-by-step explanation:
Express 0.57 in the form p where p and q are integers o and q # 0
please give with correct step everyone
Answers
Answer:
57/100
Step-by-step explanation: 0.57 can also be written as 57/100 which is equal to 0.57
Write 84 as a product of primes.
Use index notation when giving your answer
Answers
SOLUTION
TO DETERMINE
84 as a product of primes.
Use index notation to write the number
EVALUATION
Here the given number is 84
We prime factorise the given number
84 = 2 × 2 × 3 × 7
Number of 2's = 2
Number of 3's = 1
Number of 7's = 1
Rewriting the given number in index form we get
━━━━━━━━━━━━━━━━
Learn more from Brainly :-
The difference between face value and place value of 5 in 2,10,519
brainly.in/question/22495648
2. if one bee drinks 1ml honey then how much honey 1000 bees will drink??
Help plss. Worth 20 points<3
What do animals that are carnivores eat?
fish and insects
other animals
plants and fungus
whatever they can find
Answers
Answer: Other animals
Step-by-step explanation:
The stem-and-leaf plot shows test scores for students in Math 7. How many students earned more than a 65 on their test? Key 4|5 = 45 A) 58 students B) 28 students C) 60 students D) 65 students
Answers
the answer is b
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Simplify this expression.
8(h-4)-h-(h+7)
Solve step-by-step
Answers
Answer:
6h - 39 or 3(2h - 13)
Step-by-step explanation:
Distribute the terms in the parentheses.
8(h - 4) - h - (h + 7)8h - 32 - h - h - 7Combine like terms
8h - h - h - 32 - 76h - 393(2h - 13) [by grouping]8 (h - 4) - h - (h + 7)
8h - 32 - h - h - 7
6h - 39
3 (2h - 13)
Tyrone receives a discount of $8.40 on a hat that normally costs $28.00 .
what percent discount did he receive on the hat
explain how you know
please explain for me
Answers
Answer:
30%
Step-by-step explanation:
percentage = (discount/total amount)*100
= (8.40/28)*100=30%
I need help with this problem
Answers
Answer:
a = -4
Step-by-step explanation:
(a + 2)/2 = - 1
a+2 = -1 * 2
a = - 2 - 2
a = -4
Answer:
-2.5
Step-by-step explanation:
soo your objective is to make a alone
first remove the denominator
a+2 / 2 = -1
a + 2 = -1/2
now minus 2 to both sides
a = -1/2 - 2
a = -2 1/2
please answer!!!! will mark brainliest!!!
Answers
Answer:
6.42 %
Step-by-step explanation:
Formula FV = PV ( 1 + i)^n i = periodic interest in decimal
FV = future value PV = present value
n = periods ( years in this case)
3412.23 = 2500 ( 1 + i)^5
3412.23/2500 = (1+i)^5
1.364892 = (1+i)^5
1.0641 = 1+ i
i = .0642 or 6.42 %
(100 points) Match each ordered pair on the left with the functions on the right
Answers
Answer:
(6, 1) ⇒ y = 2/4x - 2
(-8, -0.8) ⇒ y = 3/5x + 4
(9, 0.7) ⇒ y = 3/10x - 2
(2, 7.4) ⇒ y = 1/5x + 7
Step-by-step explanation:
Let's substitute each pair in the equations to find the right one :
(6, 1)
⇒ 1 = 2/4 (6) - 2
⇒ 1 = 3 - 2
⇒ 1 = 1
⇒ Equation matched √
(6, 1) ⇒ y = 2/4x - 2
(-8, -0.8)
⇒ -0.8 = 1/5 (-8) + 7
⇒ -0.8 = -8/5 + 7
⇒ -0.8 = -1.6 + 7
⇒ -0.8 = 5.4
⇒ Incorrect equation ×
⇒ -0.8 = 3/5 (-8) + 4
⇒ -0.8 = -24/5 + 4
⇒ -0.8 = -4.8 + 4
⇒ -0.8 = -0.8
⇒ Equation matched √
⇒ (-8, -0.8) ⇒ y = 3/5x + 4
(9, 0.7)
⇒ 0.7 = 3/10 (9) - 2
⇒ 0.7 = 27/10 - 2
⇒ 0.7 = 2.7 - 2
⇒ 0.7 = 0.7
⇒ Equation matched √
⇒ (9, 0.7) ⇒ y = 3/10x - 2
(2, 7.4)
⇒ 7.4 = 1/5 (2) + 7
⇒ 7.4 = 2/5 + 7
⇒ 7.4 = 0.4 + 7
⇒ 7.4 = 7.4
⇒ Equation matched √
⇒ (2, 7.4) ⇒ y = 1/5x + 7