Answers
Answer:
Last option
Step-by-step explanation:
First method :
Red Line:
Take 2 coordinates through which the line passes. Let it be (0, 7) and (14, 0).
[tex]slope, m=\frac{ 0-7}{14-0} = -\frac{7}{14} = -\frac{1}{2}[/tex]
[tex]Equation : (y - 7) = -\frac{1}{2}(x)[/tex]
[tex]2y - 14 = -x\\2y + x = 14\\4y + 2x = 28[/tex] [tex][ multiply \ by \ 2 \ on \ both \ sides][/tex]
Blue Line:
Take coordinates through which the line passes.
Let it be (-4, -12) and (-10, -9).
[tex]slope, m = \frac{-9 + 14}{-10} = \frac{5}{-10} = -\frac{1}{2}[/tex]
[tex]equation : (y + 12) = -\frac{1}{2} (x+4)\\[/tex]
[tex]y = -\frac{1}{2}x - 2 - 12\\\\y = -\frac{1}{2}x -14\\\\2y = -x - 28\\\\-2y = x +28[/tex]
Second Method:
From the graph it is clear the lines are parallel. The slopes of line parallel to each other are equal. So convert each equation into standard line equation form :y = mx + b
And check for set of equation whose slope are same.
First set :
[tex]y = 10x - 15 \\\\=> slope = 10\\\\-9x + 2y = 10\\2y = 9x + 10\\\\y = \frac{9}{2}x + 5 => slope = \frac{9}{2}[/tex]
Slopes are not equal.
Second set :
[tex]2y = 2x + 5\\y = x + \frac{5}{2}\\slope = 1\\\\\\3x -4y = -5\\4y = 3x + 5\\\\\y = \frac{3}{4}x + \frac{5}{4}\\\\slope = \frac{3}{4}[/tex]
Slopes are not equal.
Third set :
[tex]y = 3x +10 \\slope = 3\\\\\\2x - 3y = -6\\3y = 2x +6\\\\y = \frac{2}{3}x + 2\\\\slope = \frac{2}{3}[/tex]
Slopes are not equal.
Fourth set :
[tex]2x + 4y = 28\\4y = -2x +28\\\\y = -\frac{1}{2}x + 7\\\\slope = -\frac{1}{2}\\\\\\-2y = x + 28\\\\y = -\frac{1}{2}x - 14\\\\slope = -\frac{1}{2}[/tex]
Slopes are same.
Related Questions
If AD = 5.1cm, find the height (in cm) of the triangle.
Answers
Answer:
I. AC = 15 cm
II. h = 7.4 cm
Step-by-step explanation:
I. Determination of AC
AB = 9 cm
BC = 12 cm
AC =?
The length AC can be obtained by using pythagoras theory as illustrated below:
AC² = AB² + BC²
AC² = 9² + 12²
AC² = 81 + 144
AC² = 225
Take the square root of both side
AC = √225
AC = 15 cm
II. Determination of the height.
AB = 9 cm
AD = 5.1 cm
BD = h =?
The height of the triangle can be obtained by using pythagoras theory as illustrated below:
AB² = AD² + BD²
9² = 5.1² + h²
81 = 26.01 + h²
Collect like terms
h² = 81 – 26.01
h² = 54.99
Take the square root of
h = √54.99
h = 7.4 cm
formula for surface area of triangular prism
Answers
Answer:
A = bh + L(s1 + s2 + s3)
Step-by-step explanation:
The formula for finding surface area of triangular prism is A = bh + L(s1 + s2 + s3).
Find the area of the polygon . :)
Answers
Answer:
41 square units
Step-by-step explanation:
this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.
for me this split would be
1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.
2. a right-angled triangle ABF (the same F as for 1.).
the area of a square is the square of a side length.
the side length in 1. is 4.
so, its area is 4×4 = 16 square units.
the area of a right-angled triangle is
a×b/2
with a and b being the sides enclosing the 90 degree angle.
in our case here a = BF = 10, b = FA = 5
so the area of the triangle is 10×5/2 = 25 square units.
so, the total area is 16 + 25 = 41 square units.
Which expression is equivalent to 4(2x + 1)?
8x + 1
8x +4
6x + 5
O
2x + 4
Answers
Answer:
8x + 4
Step-by-step explanation:
You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4
Use elimination to solve the system of equations:
3x + y = 10
- 4x - 2y = 2
Work:
Answers
x
+
y
−
2
z
=
0
4
x
+
y
-
2
z
=
0
,
2
x
−
3
y
+
3
z
=
9
2
x
-
3
y
+
3
z
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9
,
−
6
x
−
2
y
+
z
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0
-
6
x
-
2
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+
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0
x
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4
x
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8
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x
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8
3
x
+
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3
x
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4
,
6
x
−
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Which equaiton reprsents a line that passes through the two points in the table? A.y+1=5/4(x+1) B.y+6=4/5(x+5) C.y-6=4/5(x-5) D.y-1=5/4(x-1)
Answers
Answer:
C
Step-by-step explanation:
It’s c
Which one is it I’m super confused...
Answers
Answer:
( x-2)^2 +(y-5)^2 = 12.25
Step-by-step explanation:
The equation of a circle is given by
(x-h) ^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
( x-2)^2 +(y-5)^2 = (3.5)^2
( x-2)^2 +(y-5)^2 = 12.25
A boat is travelling from point c toward point d which is on the shoreline the shoreline is represented by the line through point a and point b
Answers
Answer:
The answer is "lines CD & AB are perpendicular ".
Step-by-step explanation:
Given points:
[tex]A=(0,7)\\\\B=(8,-5)\\\\C=(-3,-8)\\\\D=(6,-2)[/tex]
Calculating the slope of AB: [tex]y = -\frac{12}{8}x + 7[/tex]
Calculating the slope of CD: [tex]y = \frac{6}{9}x - 6[/tex]
simplify the slop:
[tex]AB= -\frac{3}{2}\\\\CD=\frac{2}{3}\\\\[/tex]
Choose the expression equivalent to: (10 x 18) + (10 x s)
A) 20x18s AND 180 + 10s
B) 180 + 10s AND 10(18 + s)
C) 10(18 + s) AND 20 x 18s
Giving brainlest
Answers
B. 180 + 10s. AND 10(18 + s)
Hope this helps! :)
if 1 cm = 10 km then how much is 8 km? And how much is 5 km? i will give brainly
Answers
Answer:
0.8 cm = 8km
0.5cm = 5km
hope this helps
someone please help
Answers
Answer:
sqrt(106) =c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 +9^2 = c^2
25+81 = c^2
106 = c^2
Taking the square root of each side
sqrt(106)= sqrt(c^2)
sqrt(106) =c
Answer:
Length of missing side is 10.44/ √106.
Step-by-step explanation:
Here we have
A right triangle with
1st side = a = 5
2nd sidd = b = 9
and , we need to find 3rd side of triangle
let the 3rd side be x.
Using Pythagoras theorem
a ² + b ² = c ²
( 5 ) ² + ( 9 ) ² = ( c)²
25 + 81 = ( c) ²
106 = ( c) ²
Taking square root of each side
√106 = √ c ²
√106 = c
10.44 = c
So, missing side if triangle is 10.44 /√106.
find the base of the triangle when the area is 94.5
Answers
Answer:
Base = 10.5 cm
Step-by-step explanation:
GIVEN :-
Height of the triangle = 18 cmArea of the triangle = 94.5 cm²TO FIND :-
The base of the triangleGENRAL FORMULAE TO BE USED IN THIS QUESTION :-
For a triangle with height 'h' & base 'b' , its area = [tex]\frac{1}{2} \times b \times h[/tex]
SOLUTION :-
[tex]Area = \frac{1}{2} \times Base \times Height[/tex]
[tex]=> 94.5 = \frac{18b}{2}[/tex]
Multiply both the sides by 2[tex]=> \frac{18b}{2} \times 2 = 94.5 \times 2[/tex]
[tex]=> 18b = 189[/tex]
[tex]=> b = \frac{189}{18} = 10.5[/tex]
Hey, I need help for this question, not sure what it is. Please respond quickly!
Use the diagram and given information to answer the questions and prove the statement.
Given: Angle X ≅ Angle Z
XY ≅ ZY
Prove: AZ ≅ BX
Prove AZ ≅ BX using a flow chart proof.
Answers
Answer:
my answer is in this picture. sorry about my handwriting and my presentation because i am a Asian student and cant show better presentation
what is the length of side x in the above right triangle
Answers
Answer:
its answer will be 9.first by using phythagorus theorem h^2=p^2+b^2'then h=15,p=12and b=x. again by putting the values of h ,p and b we get ,(15)^2=(12)^2+x^2. 225=144+x^2, x^2=225-144, x^2=81,x=√81,x=9 answer
...........................
Answers
Answer:
below
Step-by-step explanation:
uG =(12sin45)/sin85
Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle's width A(w) What does the second coordinate of the vertex of the quadratic function A(w) represent?
Answers
Answer:
B. The maximum area that can be enclosed by the fencing
Answer: The maximum area that can be enclosed by the fencing
Step by-step explanation: got it right on my test
Your suppose to look at the graph.
If you could help me that would be great!
Answers
Answer:
B) $3 per gallon
Step-by-step explanation:
You can see on the graph that for 1 gallon of gasoline, it is $3.
Hope this helped!
Please mark as brainliest!
URGENT PLEASE HELP, highschool geometry
Answers
Answer:
75.5
Step-by-step explanation:
In the picture, since x is an inscribed angle, it's arc(arc XO) would be twice it's measure. Therefore, arc XO in this picture would be represented by 2x and the larger arc(arc XYO) will be represented by 360-2x since it is all of the perimeter except for the portion that is the measure of arc XO.
For this picture, you would use:
[tex]\frac{arc XYO-arc XO}{2}[/tex] =29
[tex]\frac{360-2x-2x}{2}[/tex] Substitute in the measures of the arcs.
[tex]\frac{360-4x}{2}[/tex] Combine -2x with -2x to simplify the problem
180-2x=29 DIvide by 2
-2x= -151 Subtract by 180 from both 180 and 29
x= 75.5 Divide by -2. (Both numbers are - so the answer is a +)
For an afternoon flight, the cost of a premiunm ticket is reduced from $114 to $96.90
Calculate the percentage reduction in the cost of a ticket
Answers
Answer:
out of the 100% they took away 15% leaving u with 85% to pay I think, sorry if I'm wrong
Solve for X answer as a whole number
Answers
Step-by-step explanation:
[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]
as a whole number = 5
Need help!!!! On a timer!!!
Answers
Answer:
D
Step-by-step explanation:
(hg)(x)=(4x+3)(x+2)=4x²+11x+6
Factor completely . 121 - x ^ 2
Answers
Answer: Since both terms are perfect squares, factor using the difference of squares formula,
a 2 − b 2 = ( a + b ) ( a − b) where a = 11 and b = x . ( 11+x) (11-x)
what is the angle of x
Answers
Answer and Step-by-step explanation:
To find x, subtract all of the given angles from 180.
We subtract from 180 because the angles in a triangle (when added together) add up to 180.
180 - 90 - 35 = 55
x = 55 is the answer.
#teamtrees #PAW (Plant And Water)
Answer:
55°
Step-by-step explanation:
Given :-
Angles = x , 35° and 90°.We know :-
Angle sum property of∆ = 180° .→ 35 + x + 90 = 180
→ x + 125 = 180
→ x = 55°
pls help me im so confused
5n-17=2n+1
Answers
Answer:
n=6
Step-by-step explanation:
5n-17=2n+1
Subtract 2n from each side
5n-2n-17=2n-2n+1
3n -17 = 1
Add 17 to each side
3n -17+17 = 1+17
3n = 18
Divide by 3
3n /3 = 18/3
n=6
[tex] \large \sf \star \: \green{Answer }\: \star[/tex]
[tex] \small \sf \fbox{n = 6}[/tex]
Step-by-step explanation:[tex] \small \sf \mapsto \: 5n \: - 17 = 2n + 1[/tex]
subtract 2n from both side
[tex] \small \sf \mapsto \: 5n \: - 2n \: - 17 = 2n \: - 2n + 1[/tex]
[tex] \small \sf \: \mapsto \: 3n \: - 17 = 1[/tex]
Add 17 to both side
[tex] \small \sf \mapsto \: 3n \: - 17 + 17 = 1 + 17[/tex]
[tex] \small \sf \mapsto \: 3n \: = 18 [/tex]
Divide 18 by 3
[tex] \small \sf \: n \: = \frac{18}{3} \\ [/tex]
n = 6
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Answers
Answer:
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.
What is Solution to Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.
We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.
We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.
Learn more about Equation here:
https://brainly.com/question/505879
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f(x)=2x^2−3x+5 Identify the quadratic term in the function.
Answers
Answer:
2×2-3×-5=0
Step-by-step explanation:
(2×2-3×)- 5=0
The sum of 32,476 and a number P is divided by 381, the quotient is 100 and remainder is zero. Find the number P.
Answers
Answer:
p = 5,624
Step-by-step explanation:
(32,476 + p) / 381 = 100
multiply both sides by 381
32,476 + p = 38,100
Subtract 32476 from both sides
p = 5,624
I don't understand this maths question!!!
Answers
B) 32
All you must do for this question is replace the variable “n” in the equation for the number term the question asks for.
For example, in part a of the question is asks for the first 3 terms. So you would replace “n” in the equation for 1, 2, and 3 to find the first 3 terms.
For the 1st term you would do 3 * 1 +2, which would give you 5.
You do this for the rest.
4.
F=1.80 + 32
so
(a) Work out the value of F when C=2
(b) Work out the value of C when F= 50
Answers
Answer:
This doesn't make sense because there is no C variable, but I will solve for f if that helps.
Step-by-step explanation:
[tex]f=1.80+32[/tex]
[tex]-32[/tex] [tex]-32[/tex]
[tex]f=-30.2[/tex]
Mr. Mitchell deposited $4000 in a bank and earned simple intrest at 7% per annum for 2 years.
(i) Calculate the amount he will recive at the end of the 2 year period.(Hint find the simple intrest first...)
Answers
Answer:
interest per annum is 280
interest for 2 year is 560
Step-by-step explanation:
money deposited in bank = 4000
1persent of 4000 = 40
7 persent of 4000 = 280
interest for 2 year is 280 x 2 = 560
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