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4 years ago

Evaluate the expression is x = 2 and y = 4. 4x + 4y

Mathematics

1 answer:

Zanzabum4 years ago

7 0

8+16

If you want the answer it is 24.

You just plug it in.

You welcome

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Find the positive difference between 16 and -2

snow_tiger [21]

Answer:

Step-by-step explanation:

16-2= 14

Hope this helps!

6 0

3 years ago

Find the value of z.

nataly862011 [7]

Answer:

z = $\frac{50}{3}$

Step-by-step explanation:

The ratio of corresponding sides are equal, that is

$\frac{z}{10}$ = $\frac{20}{12}$ ( cross- multiply )

12z = 200 ( divide both sides by 12 )

z = $\frac{200}{12}$ = $\frac{50}{3}$

8 0

3 years ago

Two particles move in the xy-plane. At time t, the position of particle A is given by x(t)=5t−5 and y(t)=2t−k, and the position

Ipatiy [6.2K]

Answer:

Part A) Not collide

Part B) k = 4

Part C) Particle B is moving fast.

Step-by-step explanation:

Two particles move in the xy-plane. At time, t

Position of particle A:-

$x(t)=5t-5$

$y(t)=2t-k$

Position of particles B:-

$x(t)=4t$

$y(t)=t^2-2t+1$

Part A) For k = -6

Position particle A, (5t-5,2t+6)

Position of particle B, $(4t,t^2-2t-1)$

If both collides then x and y coordinate must be same

Therefore,

For x-coordinate:

5t - 5 = 4t

t = 5

For y-coordinate:

$2t+6=t^2-2t-1$

$t^2-4t-7=0$

$t=-1.3,5.3$

The value of t is not same. So, k = -6 A and B will not collide.

Part B) If both collides then x and y coordinate must be same

For x-coordinate:

5t - 5 = 4t

t = 5

For y-coordinate:

$2t-k=t^2-2t-1$

Put t = 5

$10-k=25-10-1$

$k=4$

Hence, if k = 4 then A and B collide.

Part C)

Speed of particle A, $\dfrac{dA}{dt}$

$\dfrac{dA}{dt}=\dfrac{dy}{dt}\cdot \dfrac{dt}{dx}$

$\dfrac{dA}{dt}=2\cdot \dfrac{1}{5}\approx 0.4$

Speed of particle B, $\dfrac{dB}{dt}$

$\dfrac{dB}{dt}=\dfrac{dy}{dt}\cdot \dfrac{dt}{dx}$

$\dfrac{dB}{dt}=2t-2\cdot \dfrac{1}{4}$

At t = 5

$\dfrac{dB}{dt}=10-2\cdot \dfrac{1}{4}=2$

Hence, Particle B moves faster than particle A

8 0

3 years ago

Can someone please tell me what letter c equals? The answer choices are , 48, 58, 138, and 148

777dan777 [17]

Answer:

Step-by-step explanation:

B= 42

C= 48

6 0

3 years ago

Read 2 more answers

Write an equation that can determine the cost for any number of pounds of strawberries purchased.

hjlf

Answer:

y=2.5x

Step-by-step explanation:

To get the equation in y = mx + b format, we need to find m and b, the slope and y-intercept.

To find the slope, we need two points on a graph, which we have.

First, the slope

The formula for slope is

$\frac{y2-y1}{x2-x1}$

Our points, (6, 15) and (2, 5)

Plugging into our equation:

$\frac{15 - 5}{6 - 2}$ , which is 10 divided by 4, which is 2.5

Our equation now:

$y=2.5x+b$

To find our b, we need to plug in one x value.

(6, 15) are our pair of points.

6 = x

15 = y

$15 = 6(2.5) + b$ =>

$15 = 15+b$ =>

$b = 0$

If b is 0, then we don't need to include b.

Our equation is $y=2.5x$

5 0

3 years ago