If y = 2x - 8 and 4y = kx - 32 are equivalent linear equations, what is the value of k?

Mathematics

1 answer:

Paha777 [63]3 years ago

8 0

Multiply the first equation by 4:-

we get 4y = 8x - 32

Compare that with 4y = lx - 32 and we see that k = 8 Answer

You might be interested in

38. Calculate the value of c in the triangle below.

olchik [2.2K]

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 12^2 = 225

$\sqrt{225} = 15$

Hope this helps!!

7 0

3 years ago

Read 2 more answers

Help me with this question.

Elanso [62]

Answer : T = 2,116 miles

4 0

3 years ago

Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

Salsk061 [2.6K]

Answer: In June 2097

Step-by-step explanation:

According to the model, to find how many years t should take for $P(t)=21100$ we must solve the equation $0.9t^2+6t+14000=21100$ . Substracting 21100 from both sides, this equation is equivalent to $0.9t^2+6t-7100=0$ .

Using the quadratic formula, the solutions are $t_1= \frac{-6-\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=-92.21$ and $t_2=\frac{-6+\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=85.54$ . The solution $t_1=-92.21$ can be neglected as the time t is a nonnegative number, therefore $t=t_2=85.54$ .

The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.

6 0

3 years ago

erik drove 439.92 miles on 15.6 gallons of gas. To the nearest hundredth, how many miles could he drive on 39.7 gallons of gas?

Thepotemich [5.8K]

In the question it is already given that Eric drove for 439.92 miles on 15.6 gallons. It is required to find the distance traveled on 39.7 gallons of gas. Also we have to find the answer to the nearest hundredth.
Then,
In 15.6 gallons Eric can drive for a distance = 439.92 miles
In 39.7 gallons Eric can drive for a distance = [(439.92/15.6) * 39.7] miles
= 1119.54 miles
So the total distance traveled by Eric is 1120 miles with 39.7 gallons of gas. The answer has been calculated to the nearest hundredth.

6 0

4 years ago

Solve for b, then solve for each angle in the triangle

lesya692 [45]

We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation: