Can you identify a parallel or perpendicular equation and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answers
The equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].
Let be a line whose equation is:
[tex]a\cdot x + b\cdot y = c[/tex] (1)
Whose explicit form is:
[tex]y = -\frac{a}{b} \cdot x +\frac{c}{b}[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.The slope and x-intercept of the line are [tex]-\frac{a}{b}[/tex] and [tex]\frac{c}{b}[/tex], respectively.
There are two facts:
A line is parallel to other line when the former has the same slope of the latter.A line is perpendicular to other line when the former has a slope described the following form ([tex]m_{\perp} = -\frac{1}{m}[/tex]), where [tex]m[/tex] is the slope of the former.Then, the equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].
To learn more on lines, we kindly invite to check this verified question: https://brainly.com/question/2696693
Related Questions
when rolling a die what is the probability of getting a number greater than 0
Answers
Answer:
100%
Step-by-step explanation:
Numbers on a die are 1,2,3,4,5,6 which are all greater than zero, so the probability is 6/6 or 100%.
What is f ( x ) = 2x + 2
A .4
B . 2
C . -2
Pick only 1 answer !!! Thank you
Answers
Answer:
X = -1 (unsure as to how this is not an answer but I have checked my work)
Step-by-step explanation:
( f(x) = y )
1. y = 2x + 2
-2 -2
2. -2 = 2x
/2 /2
3. -1 = x
√((2+√3)÷(2-√3))
what is the answer?
Answers
Um yeah so ignore the blue circles. I need your helpp ty <3
Answers
Answer:
where is the diagram u there is must must graphic of this or diagram
Answer:
15, 6,0, 11, 7
I'm not sure but hope it helps
Step-by-step explanation:
y=8+7
=15
y=-1+7
=6
y=-7+7
=0
y=4+7
=11
y=0+7
=7
write an inequality with a solution that matches the graph at least two steps should be needed to solve your inequality. Just 62 and 64 please
Answers
Answer:
x >= -2
-2 < x < 1
Work out the area of the shaded shape.
Answers
Answer:
61 m²
Step-by-step explanation:
Find the area of the whole rectangle and subtract the part that is cut off
Area = [tex]11 *8 - 9 *(8-5)[/tex]
= [tex]88 - 9*3[/tex]
= [tex]88 - 27[/tex]
= [tex]61[/tex]
Units = m * m or m²
61 m²
-Chetan K
Which of the following points lies on the line 2x+3y=5?
A. (2,3)
B. (2,1)
C. (-2,3)
D. (-2,0)
Answers
Answer:
B(2,1). And C(-2,3)
Step-by-step explanation:
Tbh, you can just plug the numbers into the original equation :2x+3y=5
A.2x2+3x3=13 ≠5
B.2x2+3x1=5=5
C.-2x2+3x3=5=5
D.-2x2+3x0=-4≠5
So the answer is B and C lies on the line
Suppose that you have $1500 to spend on fencing for your rectangular yard. The fence meets with your
house on one side, so you only need to fence three sides of the rectangle. The sides touching the house
will be equal in length, call these lengths x feet. And label the length of the third side y feet. Fencing
costs $57 per foot.
a. Write a function that expresses total fence cost as a function of x and y.
b. Write a function that expresses the total area as a function of x and y.
c. Write a function that expresses the total area as a function of x only. Assume that you want to
spend as much of that $1500 as you can.
d. Graph the result of c and past below. Be sure to include where the function reaches a maximum.
Answers
The cost function of the rectangular yard is 114x + 57y = 1500
Let x represent the length of the rectangular yard and y represent the width of the rectangular yard.
Since you need to fence only 3 sides, hence:
2x + y = Perimeter
Each foot cost $57 per foot and there is $1500 to spend, hence:
2x(57) + y(57) = 1500
114x + 57y = 1500
y = (1500 - 114x) / 57
The area (A) of the rectangular yard is:
A = x * y
A = xy
A = x[(1500 - 114x) / 57)
Find out more at: https://brainly.com/question/24721199
Mrs Boswell is ordering cookies from a bakery for her daughter’s eighth grade graduation party she uses a table to figure out how many cookies to order
Answers
Answer:
I'm pretty sure the answer is B, I hope this helps!
pls help due tonight
Answers
Answer:
-32
Step-by-step explanation:
-32x + 4y = 12
4y = 12 + 32x
/4 /4 /4
y = 3 + 8x
The weight of 120 books is 36kg, find the weight per book
Answers
Answer:
0.3kg
Step-by-step explanation:
Since the weight of 120 books is 36kg, the weight per book will be:
= 36kg / 120
= 0.3kg
2,6,18,...
Find the 8th term.
Find the 8th term.
Answers
Answer:
4378
Step-by-step explanation:
Its clearly given that each term is multiplied by 3
I.e- 2×3 = 6
6×3= 18
and so on....
so here the G.P series is a=2 and r=3
To find the 8th term ar^8-1
ar^7 = 2×3^7
= 2×2187
= 4378
(1-w-w²)⁶=64 prove thta
Answers
1−w−w2=64
Step 1: Simplify both sides of the equation.
−w2−w+1=64
Step 2: Subtract 64 from both sides.
−w2−w+1−64=64−64
−w2−w−63=0
For this equation: a=-1, b=-1, c=-63
−1w2+−1w+−63=0
Step 3: Use quadratic formula with a=-1, b=-1, c=-63.
w= −b±√b2−4ac /2a
w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)
w= 1±√−251/ −2
what is the explanation
Answers
Answer:
the explanation of wot
Step-by-step explanation:
If you give an explanation of something, you give details about it or describe it so that it can be understood.
Question : Explore criteria of congruency of triangles using a set of triangle cut outs
Answers
Answer:
Explore Various Criteria for Congruence TrianglesSASASAAASSSSRHS12 tenths+ 9 tenths = tenths = ones = tenths
Answers
Given [tex]cot(\alpha )=-\sqrt{3}[/tex] and [tex]\pi/2 \ \textless \ \alpha \ \textless \ \pi[/tex], find the exact values of the five remaining trigonometric functions:
1. [tex]sin(\alpha )[/tex]
2. [tex]cos(\alpha )[/tex]
3. [tex]tan(\alpha )[/tex]
4. [tex]csc(\alpha )[/tex]
5. [tex]sec(\alpha )[/tex]
Answers
Immediately, by definition of cotangent, we find
tan(α) = 1/cot(α) = 1/(-√3)
⇒ tan(α) = -√3
Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.
Recall the Pythagorean identity,
cos²(α) + sin²(α) = 1
Multiplying both sides by 1/sin²(α) recovers another form of the identity,
cot²(α) + 1 = csc²(α)
Solving for csc(α) above yields
csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4
⇒ csc(α) = 2
⇒ sin(α) = 1/2
Solve for cos(α) using the first form of the Pythagorean identity:
cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)
⇒ cos(α) = -√3/2
⇒ sec(α) = -2/√3
A bag of mixed nuts has 18 almonds, 8 cashews, and 14 peanuts. If one nut is selected, what is the probability that a peanut is chosen?
Provide the answer as a simplified fraction.
Answers
Answer:
7/20
Step-by-step explanation:
Answer:
ok so here is answer option no1
1/8 + 1/4 = 3/8
or you could do
18 plus 14 equals 32divided into 8 equals 4
Step-by-step explanation:
if this is wrong I'm very very very really really really sorry.
I NEED HELP PLSSS GEOMETRY
Answers
Answer:
Its the first one (top left option)
Step-by-step explanation:
ur in a rush so i wont explain, pls give me brainliest
PLEASE HELP!! DUE SOON!!! WILL GIVE 5 STARS ALONG WITH A HEART!!!
Answers
Answer:
8
Step-by-step explanation:
(4x 2 − 2x + 10) + (−2x 2 + 4x − 2)
Answers
Answer:
2x²+2x+8
Step-by-step explanation:
4x²-2x+10-2x²+4x-2
=4x²-2x²-2x+4x+10-2
=2x²+2x+8
2
Which function has a greater rate of change?
Function 1
Function 2
4
3
2
The function whose input x and
output y are related by
1
X+
2
-*x+7
14-3-2-1 1 2 3 4
2
A) Function 1
B) Function 2
C) Neither, they are equal
D) Neither, one is nonlinear
Answers
Tell which value of the variable is the solution of the equation.
s−4.3=0; s=4.3, 4.4, 4.5, 4.6
Question content area bottom
Part 1
Which of the following is the solution of the equation?
A. 4.3
B. 4.5
C. 4.4
D. 4.6
E. No solution is given in the set of values
Answers
Answer:
a
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.shshs
Write 23/18 as a decimal.
Answers
Answer:
hi
Step-by-step explanation:
the answer would be 1.2778
1+ root2x + 1 = root2x + 8
Answers
Answer:
14x 2 +9
Step-by-step explanation:
Tessa feeds her dog,Roscoe 3 3/4 cups of dog food per day.if she buys a bag of food that contains 165 cups, how many days will the bag last?
Answers
The next number in the arithmetic sequence 15, 22, 29, is:
A) 34
B) 35
C) 36
D) 37
Answers
EXPLANATION: +7 is the sequence
0.5 + (-1.5) - (-5.5) =
Answers
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
0.5 + ( -1.5 ) = -1
-1 - (-5.5) = 4.5
Hopefully this helped you. :)
Describe how to find your x-intercepts ?
Answers
Layla borrowed some money from her friend in order to help buy a new video game
system. Layla agreed to pay the friend back some amount every week until her loan
was paid off. Let L represent the amount Layla owes her friend after t weeks. A graph
of L is shown below. Write an equation for I then state the y-intercept of the graph
and determine its interpretation in the context of the problem.
Answers
The linear equation for this scenario is L = -20t + 140. Layla owes her friend $140 and pays the friend $20 per week.
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Let L represent the amount Layla owes her friend after t weeks.
Using the point from the graph (0, 140) and (7, 0):
L - 140 = [(0 - 140)/(7 - 0)](t - 0)
L - 140 = -20t
L = -20t + 140
The y intercept is 140
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1