Answer:
The perimeter of triangle = 20.3
Step-by-step explanation:
We need to find perimeter of the triangle with vertices at (−2, 3), (3, 6), and (2, −2)
The formula used to find perimeter is: [tex]Perimeter=Sum\:of\:length\:of\:all\:sides[/tex]
First we need to find length of each side using distance formula:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Find distance between (−2, 3), (3, 6)
We have: [tex]x_1=-2,y_1=3, x_2=3,y_2=6[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(3-(-2))^2+(6-3)^2}\\Distance=\sqrt{(3+2)^2+(6-3)^2}\\Distance=\sqrt{(5)^2+(3)^2}\\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\Distance = 5.83[/tex]
So, The distance between (−2, 3), (3, 6) is 5.83
Find distance between (3, 6),(2,-2)
We have: [tex]x_1=3,y_1=6, x_2=2,y_2=-2[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(2-3)^2+(-2-6)^2}\\Distance=\sqrt{(1)^2+(-8)^2}\\Distance=\sqrt{1+64}\\Distance=\sqrt{65}\\Distance=8.06[/tex]
So, The distance between (3, 6),(2,-2) is 8.06
Find distance between (-2,3),(2,-2)
We have: [tex]x_1=-2,y_1=3, x_2=2,y_2=-2[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(2-(-2))^2+(-2-3)^2}\\Distance=\sqrt{(2+2)^2+(-2-3)^2}\\Distance=\sqrt{(4)^2+(5)^2}\\Distance=\sqrt{16+25}\\Distance=\sqrt{41} \\Distance=6.40[/tex]
So, The distance between (-2, 3),(2,-2) is 6.40
So, The length of side 1 = 5.83
The length of side 2 = 8.06
The length of side 3 = 6.40
The perimeter of triangle will be:
[tex]Perimeter=Sum\:of\:length\:of\:all\:sides\\Perimeter=5.83+8.06+6.40\\Perimeter=20.29\approx 20.3[/tex]
So, The perimeter of triangle = 20.3
Seventy-nine less than five times a number is at most 241. What is the maximum value of the number?
Answer: 64
Step-by-step explanation: Hopes this help
What is the result of multiplying the second equation by 2 and adding to the first equation?
x+3y=10
2x−y=−1
-------------
A. 5x+3y=6
B. 5x+y=8
C. 3x+2y=9
D. 3x−5y=−12
Answer:
5x + y = 8
Step-by-step explanation:
Given the equations:
x+3y=10 ____ (1)
2x−y=−1 ____ (2)
Multiply (2) by 2
2(2x - y = - 1) = 4x - 2y = - 2
4x - 2y = - 2 - - - (3)
Add (1) and (3)
4x - 2y = - 2
x + 3y = 10
___________
5x + y = 8
_________
Answer:
5x + 3y = 6
Step-by-step explanation:
A sapling that started out 31 inches tall grew 3 inches per year. How tall was the sapling when it was 6 years old?
13 inches
40 inches
49 inches
18 inches
How many moles are in 2.75 x 10^23 atoms of Sulfur ? please show steps
Answer:
2.75x(1023)
=2.75*x*1e+23
=2.7499999999999997e+23*x
=2.7499999999999997e+23x
Step-by-step explanation: Hope this help
HELP I'LL GIVE BRAINLIEST!!!!!!!!!!!!!!
Find the value of x and y
Answer:
x=6, y=128
Step-by-step explanation:
set 5x+16 = 7x+4
-2x=-12
x=6
plug x into equation= 46
180-46=134
y+6=134
y=128
Can someone release help
Answer:
20%
20=4
32=6.4
54=10.8
88=17.6
120=24
25%
20=5
32=8
54=13.5
88=22
120=30
30%
20=6
32=9.6
54=16.2
88=26.4
120=36
75%
20=15
32=24
54=40.5
88=66
120=90
120%
20=24
32=38.4
54=64.8
88=105.6
120=144
Step-by-step explanation:
Go to a percentage calculator to check if this isn't enough.
Use the Pythagorean Theorem to find the missing length in the right triangle.
Answer:
c=10
36+64=c square
100=c square
10=c
you can also use the pythagorean triple 6,8,10 to figure it out faster.
Step-by-step explanation:
thank me later for the solution hope it works
If a parabola is u-shaped, then the a value of the quadratic function is...
Answer:
x^2
Step-by-step explanation:
ax^2 + bx + c is quadratic standard form
Ben is shopping for tires for his car. After looking at several stores, he decides to purchase his tires from All About Tires. The cost of their tires is shown in the table below.
Study the table below...
All About Tires...
Number of Tires... X...
Total Cost... Y...
... 2, $62...
... 3, $93...
... 7, $217...
... 9, $279....
Based on the information in the table, how much will Ben pay for 4 tires?
Answer:
124
Step-by-step explanation:
63 +31 is 93 +31 is 124
Answer:
Answer:
124
Step-by-step explanation:
63 +31 is 93 +31 is 124
Find the slope, or rate of change, from the table. *
Answer:Answer:Answer:the change from the table is -q
Step-by-step explanation: 3x-5 = -15
and the other change Is the -21
What’s the answer I’ll give brainliest(you gotta tell me how to give brainliest too)
Answer:
Man o dont know the answer but just give me brainalis
Step-by-step explanation:
wen you see my answer clike the hart buton and the buton that says make Brinalist
Answer:
B. [tex]k(x)=(-x+3)^{1/2}[/tex]
Step-by-step explanation:
When we're talking about a restricted domain, we're looking for a function that's undefined for certain values of x. A classic example is the function f(x) = 1/x. Division by 0 is undefined, so this restricts our domain to all real numbers except 0.
A key feature of our problem is in the exponents - are there any exponents that would limit the possible values of x? Let's strip away the rest of the details and just look at those powers for each option:
For A, let's look at the function [tex]f(x) = x^{1/5}[/tex]. Remember that fractional exponents are the same as roots, so we could also say [tex]f(x)=\sqrt[5]{x}[/tex]. Any odd root like this can take any value for x, positive and negative. This has to do with the fact that any odd power of a negative is always negative. So no restrictions on A.
For B, just looking at the exponent, let's see if there are restrictions on the function [tex]k(x) = x^{1/2}[/tex]. Again, we can rewrite the right side as a root: [tex]k(x) = \sqrt{x}[/tex].
Unline f(x), k(x) is restricted. The square root of a negative number has no real solutions, so k(x) comes with the restriction that x ≥ 0. We could look at C and D, but we've already found our solution at this point, so I'll stop here!
Wat is the difference between an algebraic expression and an equaion?
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
PLEASE HELP ILL GIVE YOU 100 POINTS IF CORRECT !! ASAP THANK YOU
Step-by-step explanation:
Area of parallelogram
= Vertical height * Base
= (8m)(6m) = 48m².
The area is 48 square meters.
Answer:
48 square meters
Step-by-step explanation:
First we know there are two triangles the same size and because, the formula is A = 1/2b*h. Therefore, we only have to do the math for one triangle to make up for both triangles.
2*8=16.
Then because, 6 is for both the triangle and the square it would be 4*8=32
32+16=48
48
Therefore, your answer would be 48 square meters.
37 is what percent of 148? I also need 148 is what percent of 37? Thank you!
Answer:
25%
400%
Step-by-step explanation:
37=148x
x=0.25
25%
148=37x
x=4
Answer:
first: 37×100=3700
3700/148=25 percent
second: 148×100=14800
14800/37 =400 percent.
hope I helped u. pls mark me❤️
Find the length of the third side to the nearest tenth.
I need help please im struggling on this
Answer:
3^2+4^2=7^2
√7^2
7
Answer: c= 5
Given a=4 and b=3,
c = 5
Step-by-step explanation: Given a=4 and b=3,
c = 5
∠α = 53.13° = 53°7'48" = 0.9273 rad
∠β = 36.87° = 36°52'12" = 0.6435 rad
area = 6
perimeter = 12
h =
12
5
= 2.4
Archie's needs to Factor the polynomial at the Right x2+8x-9
A Both factors will use subtraction
B The second terms in the factor will have a sum of 8
C The second terms in the factors will have a product of -9
Answer:
It's A
Step-by-step explanation:
- The output of a function is 3 less than 6 times the
input. Find the input when the output is 15.
Answer:
(15+3)/6= the input
18/6= 3
since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:
6*3= 18
and 18-3= 15 so it checks out.
Step-by-step explanation:
I hope this helps :)
06. Find the value of (a + b + c)², ifa = 5,6 = 4 and c = 3.
Answer:
[tex] {(a + b + c)}^{2} = {(5 + 4 + 3)}^{2} \\ = {12}^{2} \\ = \boxed{144}[/tex]
144 is the right answer.ANSWER ASAP!!!!!! PLEASE
What is the value of x in the equation StartFraction 4 Over 7 EndFraction (StartFraction 21 Over 8 EndFraction x + one-half) = negative 2 (StartFraction 1 Over 7 EndFraction minus StartFraction 5 Over 28 EndFraction x)? Write your solution in decimal form.
Answer:
D
Step-by-step explanation:
Answer:
the answer to your question is D
Step-by-step explanation:
hope this helps
Solve the equation x^2-6x-1=0 to the nearest tenth.
9514 1404 393
Answer:
x = {-0.2, 6.2}
Step-by-step explanation:
The values that go into the quadratic formula are a = 1, b = -6, c = -1.
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-6)\pm\sqrt{(-6)^2-4(1)(-1)}}{2(1)}\\\\=\dfrac{6\pm\sqrt{40}}{2}=3\pm\sqrt{10}\\\\\boxed{x\in\{-0.2,\ 6.2\}}[/tex]
where do i plot it and whats the answers to the table?
Answer: 3
PLOT AT THE POINT (-1, 3)
Step-by-step explanation:
Just plug in the X coordinate in the equation to get the answers.
Example in problem 2
Plug in X to find Y
Y= -1^2 + 2
Y = 3
Therefore, graph it at the point (-1,3)
Hope this was helpful !!
Can someone please help me?
Answer:
The correct answer is d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
m divided by 5 is the same as m/5
There are 50 read beans and 50 white beans in a bag . The first bean selected is red . The red bean is returned to the bag . What are the chances of the second bean selected being red
Answer:
50% as there is 100 beans all together
Solve any evens for 20 points apiece
Which is the smallest?
(a) -1,
(b) -1/2,
(c) 0,
(d) 3.
Answer:
a this is because bigger negative numbers are smaller
What is the exact value of tan(67.5°) ?
Answer:
[tex]\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}[/tex]
Step-by-step explanation:
correct on edge2020
The required exact value of tan(67.5°) is -2 + √(2).
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
The exact value of tan(67.5°) can be found using the half-angle identity for the tangent, which states that:
tan(x/2) = (1 - cos(x)) / sin(x)
We can use this identity with x = 135 degrees since 67.5 degrees is half of 135 degrees. So:
tan(67.5°) = tan(135°/2) = (1 - cos(135°)) / sin(135°)
We can then use the following exact values:
cos(135°) = -√(2)/2
sin(135°) = -√(2)/2
Substituting these values, we get:
tan(67.5°) = (1 + √(2)/2) / (-√(2)/2)
Rationalizing the denominator, we get:
tan(67.5°) = -2 + √(2)
Therefore, the exact value of tan(67.5°) is -2 + √(2).
Learn more about trig ratios here:
https://brainly.com/question/14977354
#SPJ6
Write 30x3+5x in factored form.
Line M is represented by the equation -2/3+8. Line W is perpendicular and passes through the point (4,3)
Answer:
y= -3/2x+9
Step-by-step explanation:
Well we have to know that to find a line perpendicular to a given line, you have to have opposite slopes. So that makes the equation begin as y=-3/2x because it's opposite of y=2/3x. Then we have to make sure it goes through the point (4,3). To do that, I tweaked the numbers in my graphing calculator and it worked with 9! So the equation is y= -3/2x+9
pls help this is my last attempt to get it right before I fail.
Answer Choices:
A)The scale factor is 0.9
B)The scale factor is 2.1
C)The scale factor is 2.5y
D)The scale factor is 0.4