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
lyudmila [28]
3 years ago
9

What is the equation of the line that passes through the point (-4, 2) and has a slope of 1/4?

Mathematics
2 answers:
Virty [35]3 years ago
7 0

Answer:

y = (1/4)x + 3

Step-by-step explanation:

I have put my answer in slope-intercept form as that is usually the most common. Inputing the slope as "m" into the equation "y=mx+b" and substituting the x and y coordinates given to find b gives the equation "2=(1/4)(-4)+b" By solving this we get "b=3" to finish the equation.

Irina-Kira [14]3 years ago
7 0

Answer:

y=1/4x+3

Step-by-step explanation:

y-2=1/4(x-(-4))

y-2=1/4(x+4)

y-2=1/4x+1

y=1/4x+1+2

y=1/4x+3

You might be interested in
Help me simplify the following expression, show steps please
malfutka [58]

\frac{2x^3y^3}{4y^2} = \frac{x^3y^3}{2y^2} = \frac{x^3y}{2}

4 0
3 years ago
1/8 times square root of eight =
Crazy boy [7]

Answer:

0.35355339059

Step-by-step explanation:

8 0
3 years ago
In a controversial election district, 73% of registered voters are democrat. a random survey of 500 voters had 68% democrats. ar
Arlecino [84]

Answer:

73% = parameter

68% = statistic

Step-by-step explanation:

Parameter and statistic differs from one another in statistical parlance in that, parameter refers to nemwrical characteristic derived from the population data. In the scenario described above, 73% describes the percentage of all registered Voters (population of interest). On the other hand, statistic refers to numerical characteristic derived from the sample data. 68% represents the percentage of democrats from the sample surveyed from the the larger population.

Hence,

68% is a sample statistic and 73% is a population parameter.

7 0
3 years ago
Little's law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner det
Ronch [10]
<h3>Given,</h3>

Number of shoppers per hour (during business hours) = 84

Time spent by each shopper (average) = 5 mins

<h3>Now,</h3>

→ 60 mins (1 hour) = 84 shoppers

→ 60 = 84

→ 84/60

→ 1.4

→ 1.4 × 5 = 7

→ 7 shoppers on an average, are waiting in the checkout line to purchase at the "Good Deals store"

\\  \\

–TheExtraterrestrial

5 0
3 years ago
Read 2 more answers
30 POINTS
fenix001 [56]

Answer:

The equation is (x-5)^{2}+(y-20)^{2}=9

Step-by-step explanation:

Given the following equation in the plane :

(x-a)^{2}+(y-b)^{2}=R^{2}

The set of points (x,y) that satisfy the equation graph a circle in the plane.The circle is centered at (a,b) and the radius of the circle is R.

For example, the set of points that satisfy : (x-2)^{2}+(y-3)^{2}=9

graph a circle of radius \sqrt{9}=3 centered at the point (2,3)

The first step to solve this exercise is to find the center of the circle.

The rectangle has vertices (0,0),(0,40),(10,40) and (10,0) so they will form a rectangle with width 10 units and height 40 units.

Given this situation, the center of the rectangle is at (5,20) (Half of the width in the first coordinate and half of the height in the second one)

The equation of the flower garden will be

(x-5)^{2}+(y-20)^{2}=R^{2}

The final step is to find the value of R.

Given that the rectangular backyard width is 200 feet and this is represented with a rectangle in the blueprint with width 10 units

10units=200feet ⇒ 60feet=\frac{(60).(10)}{200}units=3units

The radius of 60 feet is represented with 3 units in the blueprint.

Now we replace R=3 in the equation :

(x-5)^{2}+(y-20)^{2}=3^{2} ⇒

(x-5)^{2}+(y-20)^{2}=9

And that is the equation of the circle.

5 0
3 years ago
Other questions:
  • Simplify -10(10w-6-w)-w
    15·1 answer
  • Jannet saved 22 dollars one month and 39 dollars the next month. She wants to by a bicycle that costs $ 100. About how much more
    7·1 answer
  • In how many different orders can the letters in MATH be arranged?
    11·2 answers
  • The sum of 5 consecutive odd numbers is 145.
    7·2 answers
  • If a cow has a mass of 9 × 10^2
    9·2 answers
  • Solve E = mc2 for c. A) c = E m B) c = m E C) c = + m E D) c = + E m
    8·2 answers
  • Here is a list of what you need to make 20 buns:
    11·1 answer
  • Which one is the greatest?
    5·2 answers
  • Sofia wants to buy a new pair of jeans. At Pants World, the jeans she wants cost $40 and they're having a 25% off sale. At All C
    6·1 answer
  • F(x) = 4x+8<br> g(x) = x+3,<br> Find f(x) * g(x)<br> =
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!