Hi, I'm happy to help!
To solve this, we need to find the distance in x coordinate values, y coordinate values, then use the Pythagorean Theorem to solve for the distance.
First, let's find the distance in x coordinate values. Our first x coordinate value is -6, and our second is 2. From here, we subtract.
-6-2=-8
Since we have a negative number, we use absolute value, which says how far the number is from 0.
I-8I
8
The distance in x coordinate values is 8.
Next, we find the distance in y coordinate values. our first y coordinate is -5, and our second is 0, now, let's subtract.
-5-0=-5
I-5I
5
The distance in y coordinate values is 5.
From here, we use the Pythagorean Theorem, which states that a²+b²=c².
This has to do with right triangles. Think about drawing a line down to the y coordinate of the other point, then to the x coordinate. Now, drawing a line straight from point to point. Now, you have a right triangle, and we are trying to find c, the direct distance of the line going from point to point. Let's say that our x distance is a, and our y distance is b.
Let's plug in the values:
8²+5²=c²
64+25=c²
89=c²
To find c, we need to find the square root of 89.
√89=c
9.433981132...=c
Since this number goes on forever, we need to round.
Rounding to the nearest thousandth:
9.434
Nearest hundredth:
9.43
Nearest tenth:
9.4
Depending on what the question asks, use one of these values.
To conclude, The distance between the two points is about 9.43 units.
I hope this was helpful, keep learning! :)
Brody has a points card for a movie theater.
He receives 60 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 150 points for a free movie ticket.
What is the least number of visits he needs to make in order to earn a free movie ticket?
the distance between the points (-1,3) and (2,-1) is?
Answer:
It is 5.83 units
Step-by-step explanation:
[tex]{ \bf{length = \sqrt{ {(x_{1} - x _{2} ) }^{2} + {(y _{1} - y_{2})}^{2} } }}[/tex]
x1 is -1
x2 is 2
y1 is 3
y2 is -1
[tex] = \sqrt{ {( - 1 - 2)}^{2} + { \{3 - ( - 2) \}}^{2} } \\ \\ = \sqrt{9 + 25} \\ = \sqrt{34} [/tex]
PLEASEE HELP I WILL GIVE A BRAINLY
Answer:
a) 7x words
b) 1000/x days
c) 15000 + 10x words
Step-by-step explanation:
The best way to do this would be to plug in real numbers to see how each situation would play out. For example, for part a, let's say he learns 20 new words each day. One week has seven days, so that would be 20 x 7, which is 140 words. You multiply the # of days by the # of words, which is x.
For part b, if he tried to reach 1000 new words by doing 20 new words a day, you would find how long that would take by doing 1000 / 20, which would give you 500 days. You divide the # of new words he's trying to reach by the # of words a day.
For part c, he already has a set # of new words that he's learned, and now he's just continuing the progress, so you start out with 15000, then add that to 10 new words a day multiplied by # of days (x).
What is 3(x-6)+12=6(x+1)-3x show your work.
Answer:
No solution.
Step-by-step explanation:
3(x - 6) + 12 = 6(x + 1) - 3x
3x - 18 + 12 = 6x + 6 - 3x
3x - 6 = 3x +6
-6 = 6
-6 ≠ 6
The length of each side of an equilateral triangle having an area of 9√3 cm² is
Answer:
6 cm
Step-by-step explanation:
Let each side of the equilateral triangle be a.
Given, area of an equilateral triangle = 9√3 cm2
Area of an equilateral triangle = (√3)/4 × (Side)²
=> (√3)/4 × a² = 9√3
[tex] {a}^{2} = \frac{9 \sqrt{3} }{ \frac{ \sqrt{3} }{4} } = \frac{9 \sqrt{3} }{ \sqrt{3} } \times 4 = 9 \times 4[/tex]
=> a² = 36
[tex] \sqrt{ {a}^{2} } = \sqrt{36} \\ a = (+ - )6[/tex]
∴ Side = 6 cm [taking positive square root because side is always positive]
another easy question pls answer
Answer:
22.5 degrees and 67.5 degrees
Step-by-step explanation:
complementary angles add up to 90°
x + 3x = 90°
4x = 90
90/4 = x
x = 22.5
The first angle is 22.5
The second angle is 3 times as much
22.5 x 3 = 67.5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Refer to the figure at the right to answer each question. 5. Are points H, J, K, and L coplanar? 6. Name three lines that intersect at X. 7. What points do plane WXYZ and HW have in common? 8. Are points W, X, and Y collinear? 9. List the possibilities for naming a line contained in plane WXKH
Problem 5
Answer: Yes the points are coplanar
------------------------
Explanation:
Note how all four points are in the same plane, aka face, along the top of the 3D block. The term "coplanar" simply means "all in the same plane", so that's why the points are coplanar.
In contrast, the set of points {H,J,K,Z} are not all coplanar because H,J,K are in the top plane, while Z is not.
===========================================================
Problem 6
Answer: line segments WX, XY, and XK
------------------------
Explanation:
All three lines mentioned above involve the letter X in some fashion. The order doesn't matter. Also, those lines intersect at the common point X.
===========================================================
Problem 7
Answer: point W
------------------------
Explanation:
The plane WXYZ is the bottom face, in which we can think of as the floor of the building. The segment HW is from the floor and goes up vertically. We can consider this to be like a pole beam of the structure. The plane and segment both have point W in common. Note that the letter "W" is found in the sequences WXYZ and HW, and it's the only common letter.
===========================================================
Problem 8
Answer: The points are not collinear
------------------------
Explanation:
To be collinear, the points must all be on the same straight line. We see that isn't the case with points W, X and Y.
===========================================================
Problem 9
I'm not entirely sure what your teacher is asking here, so I would ask for a second opinion.
15=a/3-2
please help !!
Here is your answer. Hope this helps you.
Answer:
51
Step-by-step explanation:
15= a/3 -2
17= a/3
51=a
What is (f + g)(x)? f(x) = -3x² + 6x g(x) = -X Write your answer as a polynomial or a rational in simplest form
Answer:
- 3x² + 5x
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= - 3x² + 6x - x ← collect like terms
= - 3x² + 5x
A point is plotted on the number line at 225 . A second point is plotted at −434 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
ANSWER:_____ units?
Answer:
659 units
Step-by-step explanation:
The length of the segment is the distance between the points.
The distance between two points on the number line is the absolute value of the difference between their coordinates. It does not matter in which order you subtract the numbers.
One point has coordinate 225.
Another point has coordinate -434.
Subtract one coordinate from the other and take the absolute value of the difference.
distance = |-434 - 225| = |-659| = 659
Answer: 659 units
Length of given line segment is 659 units
Step-by-step explanation:
Given:
First point plotted on number line = 225
Second point plotted on number line = - 434
Find:
Length of line segment
Computation:
Length of line segment = Distance between two point
(Distance between two point will be added as absolute value)
So,
Length of line segment = |-434| + |225|
Length of line segment = 434 + 225
Length of line segment = 659 units
Learn more:
https://brainly.com/question/23782800?referrer=searchResults
Solve - 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) (and could you please explain it to me?? I really don't get it. Thanks!)
Answer:
Step-by-step explanation:
[tex](x+2)(x-1)= x^2+2x-x-2= x^2 +x -2\\\\( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 =x^2+x-2-x^2+1=x-1\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] =-3(x-1)=-3x+3\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) =-3x+3+3x-3=6x\\[/tex]
algebra 2 help please????
Answer:
Sqrt(-108)=6i*sqrt(3)
Step-by-step explanation:
-108=3*6*6*(-1). Sqrt(-108)=6i*sqrt(3) where i is iota
Need awnsers please
Answer:
1_ 129 , 51
2_ b
3_ 40
Step-by-step explanation:
1_ we can represent the bigger angle with x and smaller one with y
and as given, y is smaller than x by 78
so y = x - 78 (1)
as x + y = 180
we put y as we did in (1)
x + x - 78 = 180
so 2x = 258
so x = 129
and y will be 51
2_ from the figure we find the two angles form one angle = 90 degree
3_ from the defenition of complementary angles
m(c) + m(d) = 90
7r + 5 + 8r + 10 = 90
15r + 15 = 90
r = 5
so m(c) will be equal 7*5 + 5 = 40
What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.
Answer:
3x²
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1
= 3x + 3x² - 3x ← collect like terms
= 3x²
How many meters does a runner cross in a circular runway with radious of 100 meters [R=3, 14]
The side of a cube is 3^4 centimeters long. What is the volume of the cube?
Step-by-step explanation:
v=s^3 s=3^4=81
v=(81)^3
v=531,441 cm^3
sq root 30
A whole number, natural number, integer
B rational
C irrational
D whole number, integer, rational
Answer:
good luck
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
this is the answer
it is irrational because it cannot be expressed in a ratio of two integers
please give me brainliest .
Four coins are tossed. What is the probability of at least one tail?
Step-by-step explanation:
I can't understand it so plz don't mind or else I will mind
Answer:
93.75%
This type of problem you have to REVERSE the question...
"at least one tail" is all possibilities EXCEPT "all heads"...
so your answer is 100% - P(4 heads)
P(4 heads) = (1/2)^4 = .0625
1 - .0625 = .9375
Step-by-step explanation:
please help easy maths
Answer:
option D
Step-by-step explanation:
y-intercept=-8
point(0,-8)
m=4
Using point slope form:
y-y1=m(x-x1)
y-(-8)=4(x-0)
y+8=4x
y=4x-8
help if you can id appreciate it
Less than 14 means
x < 14
Answer:
A. x < 14
Step-by-step explanation:
'<' = "less than"
'=' = "equal to"
'>' = "greater than"
log(12), round to the nearest thousandths?
Answer:
1.079.
Step-by-step explanation:
Use ur calculator.
If a fair coin is tossed 6 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 heads?
Answer:
[tex] \displaystyle 0.344[/tex]
Step-by-step explanation:
we are given that a coin is tossed 6 times and we want to find the probability of getting at most 2 heads.
To solve this problem,we can consider binomial distribution, which is given by
[tex] \displaystyle P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} [/tex]
where:
P = binomial probabilityr = number of times for a specific outcome within n trials[tex]{n \choose r}[/tex] = number of combinationsp = probability of success on a single trialq = probability of failure on a single trialn = number of trialswe want to figure out the probability of getting at most 2 heads out of 6 trials , The probability can therefore be found by adding up all the binomial distributions including X=2 and less than it, Thus
[tex] \displaystyle P(X \leq 2) = P(X=0)+P(X=1)+P(X=2) [/tex]
[tex] \displaystyle P(X \leq 2) = \binom{6}{0} {p}^{0} {q}^{6 - 0} + \binom{6}{1} {p}^{1} {q}^{6- 1} + \binom{6}{2} {p}^{2} {q}^{6 - 2} [/tex]
when a coin is tossed, the probability of getting both head (success) and tail (failure) are ½ which is why ,the variables, p and q are assigned to ½. therefore substitute
[tex] \rm\displaystyle P(X \leq 2) = \binom{6}{0} { \left( \frac{1}{2} \right) }^{0} { \bigg( \frac{1}{2} \bigg) }^{ 6- 0} + \binom{6}{1} { \bigg( \frac{1}{2} \bigg) }^{1} { \bigg( \frac{1}{2} \bigg) }^{6 - 1} + \binom{6}{2} { \bigg( \frac{1}{2} \bigg)}^{2} { \bigg( \frac{1}{2} \bigg) }^{6- 2} [/tex]
since p and q are the same. it won't make any difference to write all the product of p and q as (½)⁶:
[tex]\rm\displaystyle P(X \leq 2) = \binom{6}{0} { \bigg( \frac{1}{2} \bigg) }^{ 6} + \binom{6}{1} { \bigg( \frac{1}{2} \bigg) }^{6} + \binom{6}{2} { \bigg( \frac{1}{2} \bigg) }^{6}[/tex]
In the expression the term (½)⁶ is common thus factor it out:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left( \binom{6}{0} + \binom{6}{1} + \binom{6}{2} \right) [/tex]
calculate the combinations:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left(1+6+15\right) [/tex]
simplify addition:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left(22\right) [/tex]
simplify exponent:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{64}\bigg) } \left(22\right) [/tex]
simplify multiplication:
[tex]\rm\displaystyle P(X \leq 2) = \frac{22}{64} [/tex]
dividing yields:
[tex]\rm\displaystyle P(X \leq 2) = 0.34375 [/tex]
[tex]\rm\displaystyle P(X \leq 2) \approx 0.344 [/tex]
In conclusion
The answer is 0.344
..... + ..... x ..... = 1452
Answer:
452 + 100 × 10 = 1452
Step-by-step explanation:
There are many possible solutions. This is one of them.
simplify 2 root 3 + 3 root 3 - 4 root 3
Answer:
√ 3
Step-by-step explanation:
2√3 + 3√ 3 - 4√ 3
5√3 - 4√ 3
1√3
=> √ 3
Answer:
→ 2√3 + 3√3 - 4√3
= (2+3-4)√3
= (5-4)√3
= √3
Therefore, √3 is the right answer.
s= zh - 2zt^3 solve for z
Hi ;-)
[tex]s=zh-2zt^3\\\\z(h-2t^3)=s \ \ /:(h-2t^3)\\\\z=\dfrac{s}{h-2t^3}[/tex]
Answer:
z = [tex]\frac{s}{h-2t^3}[/tex]
Step-by-step explanation:
Given
s = zh - 2zt³ ← factor out z from each term
s = z(h - 2t³ ) ← divide both sides by h - 2t³
[tex]\frac{s}{h-2t^3}[/tex] = z
Help solve pls fast
it's a maths question
Answer:
Step-by-step explanation:
[tex][(\sqrt[4]{x^{\dfrac{3}{4}}})^{\dfrac{-4}{3}} ]^{4}[/tex]
[tex]= [(x^{\frac{3}{4}*\frac{1}{4}})^{\frac{-4}{3}}]^{4}\\\\\\= [(x^{\frac{3}{16} ) ^{\frac{-4}{3}}}]^{4}\\\\=[ x^{\frac{3}{16}*\frac{-4}{3}}]^{4}\\\\=[x^{\frac{-1}{4}}]^{4}\\\\=x^{\frac{-1}{4}*4}\\\\=x^{-1}\\\\=\dfrac{1}{x}[/tex]
Hint:
[tex](a^{m})^{n}=a^{m*n}[/tex]
Answer:
[tex]1/x[/tex]
Step-by-step explanation:
To simplify, work from the inside out.
We start with
[tex]\sqrt[4]{x^{3/4}}[/tex]
on the inside. And we can change the fourth root into a fractional exponent -- 1/4:
[tex](x^{\frac{3}{4})^{1/4}[/tex]
A power of a power means multiply the exponents, giving
[tex]x^{\frac{3}{4} * \frac{1}{4}} = x^{3/16}[/tex]
So now we have
[tex][(x^{3/16})^{-4/3}]^4[/tex]
From here, apply the "power of a power rule" again, working from the inside out.
[tex](x^{-12/48})^4[/tex]
[tex]x^{-48/48}[/tex]
[tex]x^{-1}[/tex]
or
[tex]1/x[/tex]
What is the common difference in the arithmetic sequence -2, -5, -8, -11, -14, ... ?
A. 3
B. -2
C. 2.5
D. -3
Answer:
D. -3
Step-by-step explanation:
d = t2 - t1
d = -5 - (-2)
d = -3
What is the slope of the graph shown below?
A. 1/2
B. -2
C. 2
D. 1
what is the answer to 90π + 2π(7.5)2
Answer:
635.75
Step-by-step explanation:
90π + 2π(7.5)²
~Simplify
90π + 2π(56.25)
~Multiply
282.5 + 2(176.625)
~Simplify
282.5 + 353.25
635.75
All this was simplified using PEMDAS.
Best of Luck!
Bacteria of species A and species B are kept in a single environment, where they are fed two nutrients. Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient. Each bacterium of species A requires 4 units of the first nutrient and 5 units of the second, and each bacterium of species B requires 1 unit of the first nutrient and 6 units of the second. What populations of each species can coexist in the environment so that all the nutrients are consumed each day?
Answer:
4570 species of the type A and 1540 species of the type B.
Step-by-step explanation:
A:
1st: 4 units
2nd: 5 units
B:
1st: 1 unit
2nd: 6 units
A=x, B=y
4x + 1y = 19820 units of the first nutrient
5x + 6y = 32090 units of the second nutrient
5x + 6*(19820-4x) = 32090.
32090 - 6(19820-4x)
x= ------------------------------------- = 4570
5-24
y = 19820 - 4*4570 = 19820 - 18280 = 1540.
ANSWER: 4570 species of the type A and 1540 species of the type B.
Hopes this solves it.
The populations of each species can coexist in the environment so that all the nutrients are consumed each day are 4530 and 10600
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given;
Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient
2 Nutrient Requirements of both species of Bacteria A and B , Total Nutrients available
Now,
Let the number of bacteria of Specie A and Specie B be x and y respectively;
To find : Number of Bacteria 1 and Bacteria 2
Nutrient 1 Constraint Equation : 4x + y = 19660
Nutrient 2 Constraint Equation : 5x + 6y = 31890
Putting the value of y from 1st equation in 2nd equation;
5x + 6 (19660 - 4x) = 31890
5x + 117960 - 24x = 31890
117960 - 31890 = 19x
19x = 86070
x = 86070 / 19 = 4530 { Bacteria A}
Putting the value of x in 1st equation;
2 (4530) + y = 19660
9060 + y = 19660
y = 19660 - 9060= 10600{Bacteria B}
Therefore, the solution of equations will be 4530 and 10600
To learn more about simultaneous equations :
brainly.com/question/16763389
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