1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
harkovskaia [24]
3 years ago
9

What is the first step to show that two lines are parallel, by looking at the equations of the lines, if they are written in sta

ndard form?
Mathematics
1 answer:
kotykmax [81]3 years ago
6 0
<span>You do need the slope. It's not obvious in "Standard Form". Ax + By = C ==> y = -(A/B)x + (C/B) There's your slope to compare. Find -A/B for each. 3x + 2y = 4 ==> Slope = -3/2 6x + 4y = 5 ==> Slope = -6/4 = -3/2 3x + y = 4 ==> Slope = -3 The top two examples COULD be parallel. If the constant is the same, that's a bit sneaky because they are really the SAME line. That's not really parallel.</span>
You might be interested in
7. What is a fair price to pay for the spinner game shown here?
andreyandreev [35.5K]
Land on a and win $1 and land on a b and win $2 and land in
8 0
3 years ago
Read 2 more answers
At a pressure 41 kPa, the gas in a cylinder has a volume of 16 liters. Assuming temperature remains the same, if the volume of t
DiKsa [7]
If temperature (T) and amount of gas (n) remain constant, but pressure (P) and volume (V) change, then the ideal gas law: PV = nRT becomes
P1V1 = P2V2 --> (41)(16) = P2 (4)
--> P2 (4) = 656
P2 = 656/4 = 164 kPa
6 0
4 years ago
Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates
cupoosta [38]

Answer:

The Annual rate of interest for the mortgage is 1.8%

Step-by-step explanation:

Given as :

The mortgage principal = p = $167,000

The time period of mortgage = t = 20 years

The Amount paid towards mortgage in 20 years = A = $240,141

Let the Annual percentage rate on interest = r % compounded annually

Now, <u>From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, $240,141 = $167,000 × (1+\dfrac{\textrm r}{100})^{\textrm 20}

or, \dfrac{240,141}{167,000} =  (1+\dfrac{\textrm r}{100})^{\textrm 20}

Or , 1.437 =  (1+\dfrac{\textrm r}{100})^{\textrm 20}

Or, (1.437)^{\frac{1}{20}} = (1+\dfrac{r}{100})

or, 1.018 = (1+\dfrac{r}{100})

Or, \dfrac{r}{100} =  1.018 - 1

Or, \dfrac{r}{100} = 0.018

∴ r = 0.018 × 100

i.e r = 1.8

So, The rate of interest applied = r = 1.8 %

Hence, The Annual rate of interest for the mortgage is 1.8%  Answer

8 0
3 years ago
which statements are true for all rectangles A. All sides are equal in length B. All angles are right angles C. All angles are a
Elenna [48]

Answer:

I believe the correct answer is B.  

Step-by-step explanation:

4 0
3 years ago
A line passes through the point (-7, 5) and has a sloe of 1/2. Which is another point that the line passes through?
Mekhanik [1.2K]

The point through which the same line is passing will be (9,13) so option (C) will be correct.

<h3>What is a line segment?</h3>

A line section that can connect two places is referred to as a segment.

A line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The equation of any line with slope m can be given as

y = mx + c

Given,

slope m = 1/2

Point of passing  (-7, 5)

So,

5 = -7/2 + c ⇒ c = 17/2

So the equation will be,

y = x/2 + 17/2

2y = x + 17

Now checking all points (9,13) is satisfying.

2(13) = 9 + 17

26 = 26

Hence point (9,13) is passing through the line.

For more about line segment

brainly.com/question/25727583

#SPJ1

7 0
2 years ago
Other questions:
  • HELP ME PLEASE !!!!!!!!
    9·2 answers
  • When was the midpoint formula invented?
    8·1 answer
  • Determine the axis of symmetry for the function f(x) = −4(x + 7)2 − 3.
    7·1 answer
  • What’s the mean,median,and mode of 54,65,74,35,87 ?
    12·2 answers
  • Please help! I am stuck
    9·1 answer
  • Consider the triangle below.
    15·1 answer
  • What is the value of a2 - b when a = 5 and b = -2 ?
    8·2 answers
  • This figure consists of a rectangle and a quarter circle.
    10·2 answers
  • Devon is buying 3 greeting cards that cost $0.97 each. How can rounding be used to estimate the total cost of the cards?
    7·1 answer
  • HELP PLEASE HELP HELP HELP HELP​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!