Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
Geometry Basics Test
A polygon is said to be regular if all of its sides are the same length. Find the perimeter of the regular octagon
whose vertices are as follows.
(-2,-4), (1,0), (1,5), (-2,9), (-7,9), (-10,5), (-10,0), (-7,-4)
(1 point)
| units
Basic
7
8
9
Answer:
P=40
Step-by-step explanation:
find the distance between each vertices:
between the following points to find the length of each sides, octagon has 8 sides , since it is regular pentagon the distance between each vertices =5
the length of each side of octagon=5
to check :d=√(x2-x1)²+(y2-y1)²
(-2,-4) and (1,0) , d=√[(1-(-2)]²+(0+4)² =√3²+4², d=5
(1,0) and (1,5) , d= 5
(1,5) and (-2,9) , d=5
(-2,9) and (-7,9) , d=5
(-7,9) and (-10,5) , d=5
(-10,5) and(-10,0) , d=5
(-10,0) and(-7,-4), d= 5
(-7,-4) and (-2,-4), d=5
perimeter of octagon = 8a ( a is the length of the side)
p=8(5)
P=40
Find the distance between each pair of points (8,5) ,(-1,3)
Answer:
d=9.220
Step-by-step explanation:
Answer:
sqrt(85)
Step-by-step explanation:
Use the distance formula.
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
d = sqrt[(-1 - 8)^2 + (3 - 5)^2]
d = sqrt[(-9)^2 + (-2)^2]
d = sqrt[81 + 4]
d = sqrt(85)
Answer: sqrt(85)
All functions are relations. True False
The relationship between money earned and hours worked is linear joke and puetz the slope between 430 and 1290 that computes the slope between 4:30 and 10 75 how do the two slopes compare
Answer:
操你bit子Step-by-step explanation:
嗨，你好吗
Find the value of the following:|-15|.
Answer:
The answer is 15 because that absolute value for anything is 15. No matter what number
Step-by-step explanation:
How many solutions does the following equation have?
14x + 12] = 0
Answer:
[tex]x=-\frac{6}{7}[/tex]
It has one solution
Step-by-step explanation:
[tex]14x + 12] = 0\\\\14x+12=0\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\14x+12-12=0-12\\\\Simplify\\14x=-12\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{-12}{14}\\\\Simplify\\x=-\frac{6}{7}[/tex]
A parasail is 3/100 mile above the water. After five minutes, the parasail is 1/50 mile above the water. Find the change in height of the parasail.
Answer:
the change in height is 1/100 mile
Step-by-step explanation:
1/50 is also equal to 2/100, and since the previous height was 3/100 then you can just subtract 2/100 from 3/100 to get 1/100
Answer:
1/100
Step-by-step explanation:
1/50 = 2/100
then:
3/100 - 2/100 = (3-2)/100
= 1/100
Step by step order ....
Answer:
Step-by-step explanation:
1. Determine the LCM of the denominators LCM=10
2. Multiply each piece of the equation by the common denominator.
3. 2x + 5 = 40
4. Subtract 5 from both sides
5. 2x = 35
6. Divide both sides by 2
7. x = 35/2
What is the inverse of the function f(x) = 1/9 x + 2?
h(x) = 18x - 2
h(x) = 9x - 18
h(x) = 9x + 18
h(x) = 18x + 2
Answer: the answer is option B. or h(x) = 9x - 18
Step-by-step explanation:
Answer: h(x) = 9x - 18
Step-by-step explanation:
I just took the test and got it right
(8 x 10^-3) x (2 x 10^-4)
HELP PLEASEEEE A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 4-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? How many inches of ribbon does the dressmaker have, in total?
Answer:
1620 peices
Step-by-step explanation:
9 ft = 9 x 12 (12 inches make 1 ft) = 108 x 15 rolls = 1620 inches
1620 inches divided by 4 inches = 405 peices
:)
5. What is the side length of a square with
an area of 7 square units?
Answer:
3.5 units
Step-by-step explanation:
Since it's a square, all sides are the same length. To find the two side lengths used to get the area, you divide 7 by 2.
7÷2=3.5 units
What’s yz I’ll mark Brainly
Answer:
y is a point on a grid and z is the ending letter of the alphabet
Step-by-step explanation:
Answer:
The answer is 5 because if line WY is a bisector and is a 90 degree angle, then XY and YZ are equal. Therefore YZ = 5
Sam bought 3 boxes of chocolate online. Postage was $9 and the total cost was $45. How much was each box?
Answer:
12 dollars each
Step-by-step explanation:
do the math
Answer:
$1.7
Step-by-step explanation:
3 x 9 = 27
45 ÷ 27 =
about $1.7
Solve the equation vf=vi+at for a
Which scales are equivalent to 1 inch to 1 foot?
Select all that apply.
Group of answer choices
36 to 3
100 to 0.12
9 to 108
LaTeX: \frac{1}{12} 1 12 to 1
5 to 60
1 to 12
Flag this Question
Peter purchases a baseball card for $150 as an investment. His research tells him that the value of
the card should double every 3 years. When will the card reach a value of $ 4000?
Answer:
6 years
Step-by-step explanation:
Given
[tex]Initial\ Investment = 150[/tex]
[tex]Ratio = double[/tex]
Required
When will it get to 4000
This question illustrates a geometric progression and will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case;
[tex]T_n = 4000[/tex]
[tex]r = double = 2[/tex]
[tex]a = 150[/tex]
So, we're to solve for n
[tex]4000 = 150 * 2^{n - 1}[/tex]
Divide through by 150
[tex]\frac{4000}{150} = 2^{n-1}[/tex]
[tex]26.67= 2^{n-1}[/tex]
Take Log of both sides
[tex]Log26.67= Log2^{n-1}[/tex]
Apply law of logarithm
[tex]Log26.67= ({n-1})Log2[/tex]
Take Log values
[tex]1.42602301569 = (n - 1) * 0.30102999566[/tex]
Make n - 1 the subject
[tex]n - 1 = \frac{1.42602301569}{0.30102999566}[/tex]
[tex]n - 1 = 4.73714591984[/tex]
Add 2 to both sides
[tex]n = 1 + 4.73714591984[/tex]
[tex]n = 5.73714591984[/tex]
[tex]n = 6[/tex] (Approximated)
Hence, it'll take 6 years
What are the points of intersection of the following functions? F(x)=3x+6 and g(x)=2x^2-3
Answer:
(3,15) and (-1.5, 1.5)
Step-by-step explanation:
If g(x) = 2x² - 3
5x – 12 > 2x + 6 Plz help.
Answer: I HOPE IT HELPS
Step-by-step ex
=
6
Explanation:
5
x
−
12
=
2
x
+
6
First, subtract
2
x
from both sides of the equation:
5
x
−
12
−
2
x
=
2
x
+
6
−
2
x
3
x
−
12
=
6
Now add
12
to both sides;
3
x
−
12
+
12
=
6
+
12
3
x
=
18
Finally, divide both sides by
3
:
3
x
3
=
18
3
Therefore,
x
=
6xplanation:
Answer:
×<6
Step-by-step explanation:
here's the answer, have a good day! /(^-^)/
( i just used my calculator OwO )
nobody is helping so imma do full points.
can someone tell me the domain and range for these two graphs?
Answer: i really needed this if you look and how much points i have you might understand
UwU
Step-by-step explanation:
Which set of measurements will produce a scalene acute triangle?
PLEASE GIVE BRAINLIST
An ACUTE triangle contains three acute angles. (In other words, each angle of an acute triangle is less than 90 degrees.) A SCALENE triangle is one in which all sides have different lengths (and therefore, all angles have different measures).
HOPE THIS HELPED
Can someone please help me out I need this equation to be completed 5x+5x=10x I don’t understand someone please help
Answer:no solution
Step-by-step explanation:combine like terms and then subtract 10 from the other side and it becomes no solution
What is the distance between (8, -3)(8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and (4, -7)(4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis?
Answer:
The distance between both points is 4√2 units
Step-by-step explanation:
Here in this question, we want to calculate the distance between two given points.
These points are (8,-3) and (4,-7)
Mathematically, the distance between two points can be given as;
D = √(x2-x1)^2 + (y2-y1)^2
where x1 = 4, x2 = 8 , y1 = -7 and y2 = -3
Substituting these values;
D = √(8 -4)^2 + (-3-(-7)^2
D = √(4)^2 + (4)^2
D = √(16+16)
D = √(32)
D = 4√2 units
Answer:
32 Number C
Step-by-step explanation:
(x + 2)2 + (y - 3)2 = 4
which following statements are true? 11.5=11.05, 17.18 2.48
Answer:
Step-by-step explanation:
11.5=11.5
I BET NO ONE KNOWS THIS QUESTION . After years of Civil war , columbia is a peaceful democratic nation. TRU OR FALSE
Answer:
false?
Step-by-step explanation:
first, you put this question in mathematics. columbia is a “democracy” but i would say it isn’t peaceful.
the answer would be true
Graph the given function. State the domain and range. y=-11√6-9x+1
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sorry out of order
Answer:
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7
just seven my dude or dudett
Who knows how to answer this. It's Dividing complex numbers.
Answer:
answe is 1+i
mark this as brainliest!!
mark this as brainliest!!follow me!
Answer:
[tex]\large\boxed{1+i}[/tex]
Step-by-step explanation:
[tex]$\frac{4+2i }{3-i} $[/tex]
Factor the numerator
[tex]$\frac{2(2+i) }{3-i} $[/tex]
Multiply both numerator and denominator by the conjugate of the denominator.
[tex]$\frac{2(2+i) }{3-i} \cdot \frac{3+i }{3+i} = \frac{2(2+i)(3+i) }{9-i^2} $[/tex]
Once [tex]i^2=-1[/tex]
[tex]$\frac{2(2+i)(3+i) }{10} $[/tex]
Solving the numerator
[tex]2(2+i)(3+i) = 2(6+2i+3i+i^2) = 2(6+5i-1)=2(5+5i)[/tex]
[tex]$\frac{2(5+5i)}{2 \cdot 5} =\frac{5+5i}{5}=\boxed{1+i} $[/tex]
Find the missing number so that the equation has infinitely many solutions. -4x+20=blank x+20
Answer:
0
Step-by-step explanation:
20 cancels itself out so
-4x = x
-4x - x = 0
-5x = 0
divide both sides by -5x
x= 0 but we don't write it out
For the equation -4x+20 to have infinite solution , it should be equal to
-4x+20 = -4x+20 , so the blank value is -4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be -4x+20 = blank x + 20
Now ,
If the lines are coincident and have the same y-intercept, an endless solution can be generated.
The two lines with the same y-intercept and slope are the same line.
If the two lines share the same line, the system will produce an infinite solution. As a result, if the system of equations contains an infinite number of solutions, the system is consistent.
So , Both the equations should be equal for it to have infinite solutions
Therefore , -4x+20 = -4x+20
Hence , the value of the blank is -4
To learn more about equations click :
https://brainly.com/question/10413253
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