A triangle has vertices (0, 2), (3, 1), and (6.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.
Answer:
6 + 2√10 units.
Step-by-step explanation:
We can use the distance formula to find the distance between the points. The points are ,
(0,2)(3,1)(6,2)Distance 1 :-
=> D₁ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₁ = √{ (0-3)² + (2-1)² }
=> D₁ = √{ 3² + 1² }
=> D₁ = √{ 9+1}
=> D₁ = √10
Distance 2:-
=> D₂ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₂ = √{ (6-3)² + (2-1)² }
=> D₂ = √{ 3² + 1² }
=> D₂ = √{ 9 + 1}
=> D₂ = √10
Distance 3 :-
=> D₃ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₃ = √{ (6-0)²+(2-2)²
=> D₃ = √6²
=> D₃ = 6
→ Perimeter = D₁ +D₂ + D₃
→ Perimeter = √10 + √10 + 6
→ Perimeter = 6 + 2√10 units
Hence the perimeter is 6+2√10 units.Examine the system of equations.
5x + 6y = 32
5x – 6y = 8
Which variable or variables will be eliminated when you add the system of equations?
Which equation results from adding the system of equations?
9514 1404 393
Answer:
y is eliminated10x = 40Step-by-step explanation:
The coefficients of y are opposites. Adding opposites results in a sum of 0. The y-term will be eliminated by adding the equations.
The result of that addition is ...
(5x +6y) +(5x -6y) = (32) +(8)
10x = 40
Help PLZZ NO FILES PLZZ
Answer:
5 (B)
Step-by-step explanation:
NO LINKS!!!!!
Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.
Answer:
look at the photo
Step-by-step explanation:
Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.
7.5 = 2.5 ln Mln M = 3m = e^3 = 20.08553692Hope it will help you
Why is there a letter also on Mathematics?
I mean, there is a letter in English...
I don't know why there is a letter like 2x + 19 and x + 23.
It's really frustrating that there's a letter in Mathematics
They can just do "3*4" instead of "x*4 when x=3"
I know... I know... It's a silly question.
Answer:
Not silly, i understand but "x" is supposed to be a subsitute for a number after the many equations youll be learning in algebra. x can be anything, it isnt set to anykind of specifac number but rather an output of an equation. It is fustrating but i reccomend khan acdemy videos or math nation since they specialze in thses kinds of maths
Step-by-step explanation:
Simplify -4(2x - 3) + 7 x – 1.
Answer:
-x+11
Step-by-step explanation:
List two pairs of angles in square CDFG that are complementary
Answer:
1st pair: ∠C + ∠M
2nd pair: ∠G + ∠M
Step-by-step explanation:
2) Justin works at supermarket and regularly earns $10.50 per hour. In the past five
days, his time card shows that he worked 5.3, 3.4, 6.0, 5.5, and 5.3 hours. What is his
gross pay?
Which graph represents the solution set of 2x-5<3
Answer:
1
Step-by-step explanation:
2x-5< 3
add 5 to both sides
2x<8
divide 2 for both sides
x<4
graphically, Graph 1 represents this equation where x is anything smaller than 4 but not including 4
Find the equation of the line. Use exact numbers
y= ?x+ ?
Answer:
y=3x+3
Step-by-step explanation:
slope is 3 because rise over run. Rise is 3 and run is 1. 3/1 is 3. and b= y-intercept and the poiunt wehre the line intercepts the y axis is 3. so your answer is y=3x+3
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line
Meng had 346 stickers. On Monday he gave away 38. On Tuesday he gave away 49. on Wednesday he gave away 16.
How many stickers does Meng have left?
Answer:
243 stickers
Step-by-step explanation:
346-38=308
308-49= 259
259-16=243
Plz help me well mark brainliest if correct!!..
.
Answer:
70 ft
Step-by-step explanation:
20 + 20 + 15 + 15 = 70
help pls 70 points i will mark brainliest
Answer:
B
Step-by-step explanation:
there is a picture on top
Your mother has a new cell phone. It comes with 18 apps already installed. She only uses 2/3 of those apps. She downloaded 12 more apps that she uses frequently. Write an equation to represent the total number apps your mom uses.
Answer:
Step-by-step explanation:
The cell phone comes with 18 apps already installed, but she only uses 2/3 of the apps. Therefore, we need to find 2/3 of 18 to find the number of apps she uses. 2/3 * 18 = 12 apps she uses frequently. Outside of that, she downloads 12 more frequently used apps, so you add 12 to 12 to get 24 total apps that she uses.
However, the question asks for the equation to find the answer. So, the equation would be like:
18(2/3) + 12 = x
where x is representing the number of apps she uses.
If Mr. Bisby wants to know the average of the grades on a test, what measure of central tendency would he be looking at?
(Spelling counts so make sure to spell it correctly)
Answer: The answer is mean.
Step-by-step explanation:
This measure of central tendency helps you figure out the average of data.
Jenny cut an apple into eight equal slices. She gave
of the apple to Kendall.
Which shows how much of the apple Jenny has left?
Answer:
what did percent or fraction did she give Kendall?
Step-by-step explanation:
Change the decimal 5.4 to a percent. [make sure you include the % sign in your answer]
Answer:
5.4 as a percent is 540%
Hope I helped! :)
Answer:
I think the answer is 525%
A group of students is painting a background piece for the school play. What is the area of the gray part of the background. Please help no links
Answer:
1324 in²
Step-by-step explanation:
Rectangle: 40x30=1200
Triangle: 1/2x10x30=150
1200+150=1350
Door: 3x6=18
Window: 2x4=8
18+8=26
1350-26=1324
Help !!!!!!!!!!!!!!!!!!!!!
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
2
1+3
1+32+2
Thanks Thanks Hope it helpsAnswer:
1+3=4
2+2=4
there are only 2 possible ways in which the sum will add up to 4
therefore the answer is 2
what is x / 15 equals 5. what is x?
Answer:
x = 75
Step-by-step explanation:
x/15 = 5
Multiply each side by 15
15*x/15 = 5*15
x = 75
Answer:
x = 75
Step-by-step explanation:
Reverse the problem meaning you have to do multiplication
5 times 15 is 75
To check your work divided 75 by 15 and if it equals 5 it is correct
Hope this helped :]
Help solve this problem pls
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
Find the measure of ∠NED, not ∠CED.
Answer:
[tex] m\angle NED = 100\degree [/tex]
[tex] m\angle CED = 80\degree [/tex]
Step-by-step explanation:
By exterior angle theorem:
(9x - 8)° = (5x - 10)° + 50°
(9x - 8)° = (5x - 10 + 50)°
(9x - 8)° = (5x + 40)°
9x - 8 = 5x + 40
9x - 5x = 40 + 8
4x = 48
x = 48/4
x = 12
(9x - 8)° = (9*12 - 8)° = (108 - 8)° = 100°
[tex] \implies m\angle NED = 100\degree [/tex]
[tex] m\angle CED = 180\degree - 100\degree [/tex] (Linear pair angles)
[tex] \therefore m\angle CED = 80\degree [/tex]
[tex]\huge{ \mathcal{ \underline{ Answer }}}\: ✓ [/tex]
Measure of Exterior Angle of a triangle is equal to the sum of measures of two opposite interior angles .
From above statement we have :
[tex] 9x - 8 = 5x - 10 + 50[/tex][tex]9x - 5 x = 40 + 8[/tex][tex]4x = 48[/tex][tex]x = \dfrac{48}{4} [/tex][tex]x = 12[/tex]_____________________________
[tex] \mathrm{\angle \: NED = 9x - 8}[/tex]
[tex](9 \times 12) - 8[/tex][tex]108 - 8[/tex][tex]100°[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Factor 4b2 - 5b - 6.
A) (2b + 3)(2b + 2)
B) (4b + 3)(b - 2)
C) 2(b + 6)(2b - 1)
D) (b - 6)(4b + 1)
Answer:
[tex]4b^2 - 5b - 6 = 4b^2 -8b + 3b - 6 = 4b(b -2 )+3(b-2) = (4b+3)(b-2)[/tex]
option B
The factor form for of given expression is [tex](4b+3)(b-2)[/tex].
What is a method of factorizing?
Quadratic factorization using splitting of middle term : In this method splitting of middle term in to two factors.
What is the factor of given expression?The middle term of the given expression -5b can be split as 3b-8b.
On using this in the given expression we get,
[tex]4b^2-5b-6=4b^2+3b-8b-6[/tex]
Take common factor out from first two and last two terms,
[tex]b(4b+3)-2(4b+3)[/tex]
Take the common factor out.
[tex](4b+3)(b-2)[/tex]
Therefore, the factor form of given expression is [tex](4b+3)(b-2)[/tex].
Learn more:https://brainly.com/question/25829061
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please help find the gradient :)
Answer:
gradient m = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = - x - 3 ← is in slope- intercept form
with gradient m = - 1
Answer:
[tex]\rm Slope = -1[/tex]
Step-by-step explanation:
Given :-
A equation of line .[tex]\rm y = -x-3[/tex]And we need to find out the gradient of the line. The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,
Slope intercept form :-
[tex]\rm\implies y = mx + c [/tex]
Where m is the slope of the line and c is y intercept .On comparing it to slope Intercept Form , we have ,[tex]\implies \rm Slope (m) = (-1)[/tex]
Hence the gradient of the line is (-1) .
If y varies directly as x and y = 24 when
x= 16, what is y when x = 50?
Answer:
[tex]y = 75[/tex]
Step-by-step explanation:
Given
[tex]y\ \alpha\ \ x[/tex]
[tex]y=24; x =16[/tex]
Required
Find y when [tex]x = 50[/tex]
We have:
[tex]y\ \alpha\ \ x[/tex]
Express as equation
[tex]y = kx[/tex]
Solve for k
[tex]k = \frac{y}{x}[/tex]
When [tex]y=24; x =16[/tex]
[tex]k = \frac{24}{16}[/tex]
[tex]k = \frac{3}{2}[/tex]
When [tex]x = 50[/tex], we have:
[tex]y = kx[/tex]
[tex]y = \frac{3}{2} * 50[/tex]
[tex]y = 75[/tex]
Can i get some help solving this problem please. 2x=x-10
Answer:
x=3.33
Step-by-step explanation:
2x=x-10
2x+x=10
3x=10
x= 10/3
x= 3.33
I need this in 1 min
Answer: 12
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Opps I'm sorry I did that wrong. Im so sorry
Find volume of the irregular
Shape
9514 1404 393
Answer:
36 cm²
Step-by-step explanation:
This shape can be considered to be a 6 cm by 7 cm rectangle with a 2 cm by 3 cm area cut from the lower right corner. Its area is then ...
area of full rectangle - area of cutout
= (6 cm)(7 cm) -(2 cm)(3 cm)
= 42 cm² -6 cm² = 36 cm² . . . . area of irregular figure
HELP I WILL MARK BRAINLIEST
Answer:
308
Step-by-step explanation:
22 x 15.4 = 338.8
338.8 / 1.1 = 308