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
Neko [114]
3 years ago
10

write an equation of the line that passes through the given point(-2,5) and is parallel to the given line 2y=4x-6

Mathematics
1 answer:
iragen [17]3 years ago
6 0
Y=2x+b

substitute -2 for x and 5 for y
5=2(-2)+b4

Solve for b
b=9

The equation is 
y=2x+9

You might be interested in
A gear with a diameter of 12.0 inches makes 35 revolutions every three minutes. Find the linear and angular velocities of a poin
alina1380 [7]

Answer:

Angular velocity: \omega = \frac{7\pi}{18} \,\frac{rad}{s} (1.222\,\frac{rad}{s})

Linear velocity: v = \frac{14\pi}{3}\,\frac{m}{s} (14.661\,\frac{m}{s})

Step-by-step explanation:

The gear experiments a pure rotation with axis passing through its center, the angular (\omega), in radians per second, and linear velocities (v), in inches per second, of a point on the outer edge of the element are, respectively:

\omega = \frac{2\pi}{60}\cdot \dot n (1)

v = R\cdot \omega (2)

Where:

\dot n - Rotation rate, in revolutions per minute.

R - Radius of the gear, in inches.

If we know that \dot n = \frac{35}{3}\,\frac{rev}{min} and R = 12\,in, then the linear and angular velocities of the gear are, respectively:

\omega = \frac{2\pi}{60}\cdot \dot n

\omega = \frac{7\pi}{18} \,\frac{rad}{s} (1.222\,\frac{rad}{s})

v = R\cdot \omega

v = \frac{14\pi}{3}\,\frac{m}{s} (14.661\,\frac{m}{s})

7 0
3 years ago
Let f(x) be a continuous function such that f(1) = 3 and f '(x) = sqrt( x^3 + 4 ). What is the value of f(5)?
snow_lady [41]

The value of f(5) is 49.1

Step-by-step explanation:

To find f(x) from f'(x) use the integration

f(x) = ∫ f'(x)

1. Find The integration of f'(x) with the constant term

2. Substitute x by 1 and f(x) by π to find the constant term

3. Write the differential function f(x) and substitute x by 5 to find f(5)

∵ f'(x) =  + 6

- Change the root to fraction power

∵  =

∴ f'(x) =  + 6

∴ f(x) = ∫  + 6

- In integration add the power by 1 and divide the coefficient by the

 new power and insert x with the constant term

∴ f(x) =  + 6x + c

- c is the constant of integration

∵

∴ f(x) =   + 6x + c

- To find c substitute x by 1 and f(x) by π

∴ π =   + 6(1) + c

∴ π =  + 6 + c

∴ π = 6.4 + c

- Subtract 6.4 from both sides

∴ c = - 3.2584

∴ f(x) =   + 6x - 3.2584

To find f(5) Substitute x by 5

∵ x = 5

∴ f(5) =   + 6(5) - 3.2584

∴ f(5) = 49.1

7 0
3 years ago
Which expression means the sum of 5 and a number? A. g × 5 B. g – 5 C. g + 5 D. g ÷ 5
wel
For this case, the first thing you should do is define a variable.
 We have then:
 g: unknown number.
 We now write the expression in algebraic form.
 the sum of 5 and a number:
 g + 5
 Answer:
 
An expression that means the sum of 5 and a number is:
 
C. g + 5
5 0
3 years ago
If Patrick was pushing directly downward on the rock with a force of 10 N. How much work did Patrick do? Show/explain your work.
stiks02 [169]

Answer:

Patrick from spongebob? He dosent do work

Step-by-step explanation:

4 0
3 years ago
How many people were surveyed altogether?<br><br><br><br>25<br>50<br>40<br>15
melomori [17]
50 people we’re surveyed all together
4 0
3 years ago
Other questions:
  • East High School scored a total of 71 points in their final basketball game of the season. The team successfully made a total of
    5·1 answer
  • X2 – 6x + 8 = 0 is x = 2. What is the other solution?
    7·1 answer
  • Which strategy would you use to find 2+8?Explain how you decided.
    11·2 answers
  • May someone assist me?
    11·1 answer
  • HALP WHAT IS COMPUTER PLUS COMPUTER?
    15·2 answers
  • 9y - 3 (if y = 10)..
    10·2 answers
  • “which of the equations below could be the equation of this parabola?”
    8·2 answers
  • a map is drawn in the scale of 1:500000. the area of a pond on the actual ground is 100km^2. find the area on the map in square
    15·1 answer
  • At medieval lake 12% of people have red hair if there is a total of 150 people how many them do not have red hair
    9·1 answer
  • What is the range of the translated function? {y|y &lt; 0} {y|y ≥ 0} {y|y is a natural number} {y|y is a real number}
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!