Answer:
No parallel lines
Lines 1 and 3 are perpendicular
Step-by-step explanation:
Given:
[tex]Line\ 1:y = -\frac{3}{4}x + 3[/tex]
[tex]Line\ 2: \frac{2}{8}x -6y = 2[/tex]
[tex]Line\ 3: 3y = 4x + 7[/tex]
Required
Determine if they are parallel, perpendicular or not
The slope intercept of a line has the form:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
First, we calculate the slope of each lines
[tex]Line\ 1:y = -\frac{3}{4}x + 3[/tex]
Compare the above to [tex]y = mx + b[/tex]
[tex]m_1 = -\frac{3}{4}[/tex]
[tex]Line\ 2: \frac{2}{8}x -6y = 2[/tex]
[tex]\frac{2}{8}x -6y = 2[/tex]
Make -6y the subject
[tex]-6y = 2 - \frac{2}{8}x[/tex]
Divide through by -6
[tex]y = -\frac{2}{6} + \frac{2}{8*6}x[/tex]
[tex]y = -\frac{1}{3} + \frac{1}{8*3}x[/tex]
[tex]y = -\frac{1}{3} + \frac{1}{24}x[/tex]
[tex]y = \frac{1}{24}x-\frac{1}{3}[/tex]
Compare the above to [tex]y = mx + b[/tex]
[tex]m_2 = \frac{1}{24}[/tex]
[tex]Line\ 3: 3y = 4x + 7[/tex]
[tex]3y = 4x + 7[/tex]
Divide through by 3
[tex]y = \frac{4}{3}x + \frac{7}{3}[/tex]
Compare the above to [tex]y = mx + b[/tex]
[tex]m_3 = \frac{4}{3}[/tex]
So, we have:
[tex]m_1 = -\frac{3}{4}[/tex]
[tex]m_2 = \frac{1}{24}[/tex]
[tex]m_3 = \frac{4}{3}[/tex]
None of the slopes are the same, so none of the lines are parallel.
However, lines 1 and 3 are perpendicular.
This is shown below
When the slope of two lines satisfy the following condition, then they are perpendicular.
[tex]m_1 = -\frac{1}{m_3}[/tex]
This gives:
[tex]-\frac{3}{4} = -\frac{1}{4/3}[/tex]
[tex]-\frac{3}{4} = -1/\frac{4}{3}[/tex]
Convert / to *
[tex]-\frac{3}{4} = -1*\frac{3}{4}[/tex]
[tex]-\frac{3}{4} = -\frac{3}{4}[/tex]
HURRY NEED HELP!!!!!!!!!!!
Describe how the graph of y=2x is the same and different from the graph of y=2x-7 . Explain or show your reasoning.
Answer:
Im guessing
Step-by-step explanation:
The same
Equal
the mid point
The end
your welcome and not for sure
Try it out
3. Fill in the blank
I NEED THIS ASAP
Answer:
A. Vaccinations give you a small dose of a virus
Refer to image below
Answer:
A ≈ 40°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = A
Opposite Leg = 27
Hypotenuse = 42
Step 2: Solve for A
Substitute [sine]: sinA = 27/42Simplify: sinA = 9/14Trig inverse: A = sin⁻¹(9/14)Evaluate: A = 40.0052°Round: A ≈ 40°PLEASE HELP FOR BRAINLIEST
If y=24, what does ViVi Supremacy = ?
Answer:
X=2
Step-by-step explanation:
x = ky (direct variation formula)
8 = 24k
1/3 = k
x = (1/3)(6)
x = 2
I NEED HELP QUICKKK!!!
Answer:
y = (1/2)x - 1
Step-by-step explanation:
We can find the slope using the equation (y2-y1)/(x2-x1)
(-2- (-3))/6-4 = 1/2
The slope is 1/2 and the equation as of now is y = (1/2)x + C.
Now we can plug in any of the given data to find C in the equation.
-3 = 1/2(4) + C
-1 = C
C = -1
We now plug in -1 for C and get y = (1/2)x - 1 as our answer.
Drag to the correct place
Answer
5x → coefficient
3y → Variable
9 → Constant
3÷2.58=
what's the answer i'm fr wut is the answer
Answer:
1.1627907
Step-by-step explanation:
Answer:
1.162
Step-by-step explanation:
use lond divison but it goes on forever
What is the slope of the line through(-5, -10) and(-1, 5)?
Answer:
15/4
Step-by-step explanation:
to find the slope with two coordinates use
y2 - y1 / x2 - x1
first find the difference between the ys
the 2nd y point is 5, and the 1st y point is -10, so subtract them from each other
5 - (-10) = 5 + 10 = 15
then find the difference between the xs
the 2nd x point is -1, and the 1st x point is -5, so subtract them from each other
-1 - (-5) = -1 + 5 = 4
now put the difference in ys over the difference in xs
15 / 4
So thats your slope
Ryan cut away 7.85 meters of rope. Before that, he had 13 meters of rope. How much rope does Ryan have left?
Answer:
5.15
Step-by-step explanation:
13 - 7.85 = 5.15 ( I may be wrong lol )
Answer:
sawarasenaikimiwa⛓shoujonano?✨böKùWâÿARiçHiñBįCChīńOoSûDàYO
-by-step explanation:
...................????
Answer:
it is 14 hours because there is no fraction and its multiplication
Paulina has read 58 pages of the 234-page book she is doing a book report on for Language Arts. She plans to finish her book by reading 25 pages each day. Using d for the number of days, write a two-step equation to model this situation that you could solve to find out how many days Paulina took to read the rest of her book. Multiple choice question.
A) 25d – 58 = 234
B) 25d + 58d = 234
C) 25 + 58d = 234
D) 25d + 58 = 234
Answer:
D
Step-by-step explanation:
A:
25d - 58 = 234
Add 58 to 58 and 234
25d = 292
Divide 25 from both sides
d = 11
A is incorrect because you need to subtract the pages that have been read.
—
B:
25d + 58d = 234
Combine Like Terms
83d = 234
Divide 83 from both sides
d = 83
B is incorrect because 58 pages aren't days, those are the pages read so this equation is overall incorrect.
—
C:
25 + 58d = 234
Subtract 25 from both sides
58d = 209
Divide both sides by 58
d = 3.603 and so on
C is incorrect because, again, 58 isn't the days its the pages read.
—
D:
25d + 58 = 234
Subtract 58 from 58 and 234
25d = 176
Divide 25 from both sides
d = 7.04
D is the correct answer because 25 is the days and 58 is the pages read. You subtracted 58 from each side, making the number of pages in the book go down because you read those pages. You also divided 176 (the pages left) by the days, so 7.04 is your answer. 7 is the answer rounded down. D is your answer.
If y = 3x^4 -2x^3-7x+5, find dy/dx.
The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is
dy/dx = 12x³ - 6x² - 7.
We have,
The power rule states that if we have a term of form a[tex]x^n[/tex], the derivative with respect to x is given by [tex]d/dx(ax^n) = nax^{n-1}.[/tex]
Applying the power rule, we differentiate each term as follows:
[tex]d/dx(3x^4) = 3 \times 4x^{4-1} = 12x^3\\d/dx(-2x^3) = -2 \times 3x^{3-1} = -6x^2\\d/dx(-7x) = -7 \times 1x^{1-1} = -7[/tex]
d/dx (5) = 0 (since 5 is a constant)
Combining these derivatives, we get:
dy/dx = 12x³ - 6x² - 7
Therefore,
The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is
dy/dx = 12x³ - 6x² - 7.
Learn more about derivatives here:
https://brainly.com/question/29020856
#SPJ4
What is full of holes but still holds water?
Answer:
I believe it's a sponge because it's filled with holes although it can still hold water.
Answer:
sponge
Step-by-step explanation:
help me quick and i’ll give brainliest
Answer:
2nd one
Step-by-step explanation:
factorise x^2 - 9???????
Answer:
Step-by-step explanation:
(−3)(+3) here is the answer short and simple (:
hope this helps
if I'm wrong i am so sorry
Answer: (x+3) (x-3) im pretty sure!
PLEASE HELP
THE ANSWER ARE A.MILLIMETERS OR CENTIMETERS OR METERS OR KILOMETERS
ANSWER FOR B IS A. GRAMS OR KILOGRAMS
ANSWER FOR C IS A. MILITMETERS OR LITERS
Answer:
(a) kilometer
(b) Kilograms
(b) Milliliters
Answer:
(a)= kilometer
(b)= kilogram
(c)= millimeters
Step-by-step explanation:
You need to try and figure out which answer is more reasonable.
where might be a lesser sooty owl be found sleeping?
1/3 + a = 5/4
What does the a equal?
Answer:
1/3 + a = 5/4 = 4/15
Answer:
[tex]a = \frac{11}{12}[/tex]
Step-by-step explanation:
In order to find the value of a we just solve the equation as follows....
[tex]\frac{1}{3} + a = \frac{5}{4} \\[/tex]
[tex]a = \frac{5}{4} - \frac{1}{3}[/tex]
[tex]a = \frac{15}{12} - \frac{4}{12}[/tex]
[tex]a = \frac{11}{12}[/tex]
Find the value of x to the nearest centimeter.
48 cm
Х
60 cm
Answer:
60cm
Step-by-step explanation:
x0.40
due in a few hours, i'll give brainliest to the correct answer!!!
Answer:
Angle a=45, Angle b=45
Step-by-step explanation:
The angles are complementary angles which means they both add up to 90 degrees. And if angles a and b are equal then its 90/2 which is 45.
I need help with these 2 questions
Answer:
1. a
2. c
Step-by-step explanation:
14.2=2(-5.8+t) i dont know the answer
Answer:
t = 12.9
Step-by-step explanation:
Here is the answer (i think)
t = 1 2. 9
10 POINTS!!! WILL MARK BRAINLIEST
Answer:
y=5Step-by-step explanation:
75+3x+(4x+10)
ok look at the triangle 2 sides are congruent means 2 angles are congruent
that means that 75 and 3x are congruent
75=3x
divide by 3 both sides
x=25
75+75=150
30=4y+10
y=5
Question 5
2 pts
(9x + 16)°
(5x - 14)
The value of
is
The measure of the exterior angle is
degrees
Answer:
Value is 15 and measure is 151
Bill weighs 110 pounds and is gaining one pound per week. James weights 200 pounds and is losing two pounds per week. After how many weeks will they weigh the same?
Answer:
After 50 weeks
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
because one gaining a month and one not gaining
Solve:
2a - b + c = 0
a - b = -9
2a + b = 0
Answer:a=b/2-c/2
b=9+a
b=-2a
Step-by-step explanation:
k - 873 = -695
What is the answer
Answer:
k= -1,568
Step-by-step explanation:
I am pretty sure this is the answer if not I am soo sorry
Answer:
178 is the answer......
6 + 6(x + 4) + 15y + x
Answer:
7x + 15y + 30
Step-by-step explanation:
6 + 6x + 24 + 15y + x
= 7x + 15y + 30
Please help!!!
You're shopping for a guitar and find one
with an original price of $160. The store is
offering a 30% discount on all guitars. Wait!
There is an additional 25% off all purchases.
What is the sale price of the guitar?
help me please i need help on my hw
Answer:
111.707317073
Step-by-step explanation: