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LenaWriter [7]
3 years ago
11

A line parrell to y=5x+9 and intersects the point (-2,-3). What is the equation of this parrell line

Mathematics
1 answer:
zmey [24]3 years ago
6 0

Answer:

y - 5x = 4

Step-by-step explanation:

y = 5x + 9 \\ m1 = 5 \\ since \: the \: line \: is \: parallel \: m1 = m2 \\ y - y1 = m(x - x1) \\ y - ( - 3) = 5(x - ( - 2)) \\ y + 4 = 5(x + 2) \\ y + 4 = 5x + 10 \\ y - 5x = 10 - 6 \\ y - 5x = 4

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I need more information
3 0
3 years ago
Consider the quadratic function f(x) = –2x2 + 4x – 2. Find the y-intercept and the equation of the axis of symmetry.
RoseWind [281]

Answer:

The y-intercept is -2

The equation of the axis of symmetry is x = 1 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the general form of the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c,

 where a, b , c are constant

# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept

- The meaning of y-intercept is the graph of the function intersects

 the y-axis at point (0 , c)

- The axis of symmetry of the function is a vertical line

  (parallel to the y-axis) and passing through the vertex of the curve

- We can find the vertex (h , k) of the curve from a and b, where

 h is the x-coordinate of the vertex and k is the y-coordinate of it

# h = -b/a and k = f(h)

- The equation of any vertical line is x = constant

- The axis of symmetry of the quadratic function passing through

  the vertex then its equation is x = h

* Now lets solve the problem

∵ f(x) = -2x² + 4x - 2

∴ a = -2 , b = 4 , c = -2

∵ The y-intercept is c

∴ The y-intercept is -2

∵ h = -b/2a

∴ h = -4/2(-2) = -4/-4 = 1

∴ The equation of the axis of symmetry is x = 1

4 0
3 years ago
2(3x + 4) = 4x + 22 find what is x
wlad13 [49]

Answer you cheating idiot

Step-by-step explanation:

4 0
2 years ago
Kelli and her family went to the beach for a vacation. They drove 293 miles in 7 hours to get there. ABOUT how many miles did th
12345 [234]

Answer:

41.86 miles each hour

Step-by-step explanation:

Kelli and her family went to the beach for a vacation. They drove 293 miles in 7 hours to get there. ABOUT how many miles did they drive each hour?

This Question is calculated as:

7 hours = 293 miles

1 hour = x miles

Cross Multiply

7 hours × x = 1 × 293 miles

x = 293 miles/7 hours

x = 41.857142857 miles per hour

x ≈ 41.86 miles per hour

Hence, they drove 41.86 miles each hour

4 0
2 years ago
The concentration C (in mg/dl), of a certain antibiotic in a patient's bloodstream is given by C(t)=50 t /(t^2 + 25) where t is
marishachu [46]
Given that the concentration has been modeled by the formula:
C(t)=50t/(t^2+25)
where:
t is time in hours.
The concentration after 5 hours will be given by:
t= 5 hours 
plugging the value in the equation we get:
C(5)=(50(5))/(5^2+25)
simplifying the above we get:
C(5)=250/(50)=5 mg/dl

Answer: 5 mg/dl
8 0
3 years ago
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