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3 years ago

2x + y = z solve for x

Mathematics

2 answers:

kogti [31]3 years ago

7 0

Answer:

x = z/2 - y/2

Step-by-step explanation:

LiRa [457]3 years ago

5 0

Answer:

2x + y = z

2x = z - y

x = (z-y) / 2

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For the function q(x) =10 times RootIndex 5 StartRoot x minus 2 EndRoot, what is the inverse function?

prohojiy [21]

Answer:

Step-by-step explanation:

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3 years ago

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Show that y=2e^(−x) cos(x)−e^(−x) sin(x) is a solution to y''+2y'+2y=0.

lara31 [8.8K]

Answer:

see below

Step-by-step explanation:

y' = -2e⁻ˣcos(x) -sin(x)2e⁻ˣ +e⁻ˣsin(x)-cos(x)e⁻ˣ = e⁻ˣ(-2cos(x)-2sin(x)+sin(x) -cos(x))

=e⁻ˣ(-3cos(x)-sin(x))

y'' = -e⁻ˣ(-3cos(x)-sin(x)) + (3sin(x)-cos(x))e⁻ˣ

y'' = e⁻ˣ[3cos(x)+sin(x) + 3sin(x)-cos(x)] = e⁻ˣ[2cos(x)+4sin(x)]

y''+2y'+2y = 0

e⁻ˣ[2cos(x)+4sin(x)] + 2[e⁻ˣ(-3cosx-sinx)] + 2[2e⁻ˣ cos(x)−e⁻ˣ sin(x)]

e⁻ˣ[2cos(x)+4sin(x)-6cos(x)-2sin(x)+4cos(x)-2sin(x)]

e⁻ˣ[-4cos(x)+2sin(x)+4cos(x)-2sin(x)]

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4 0

4 years ago

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A bag of uninflated balloons contains 10 red, 12 blue, 15 yellow and 8 green balloons. A balloon is drawn at random, what is the

tia_tia [17]

We have been given that a bag of uninflated balloons contains 10 red, 12 blue, 15 yellow and 8 green balloons.

We need to find the probability of drawing a red balloon.

We know that probability is given by

$\\
\text{Probability =} \frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

Since we know that there are 10 red balloons. Therefore, our number of favorable outcomes is 10.

In order to find the total number of outcomes, we will add balloons of all colors.

Therefore, total outcomes are = $10+12+15+8 = 45$

We can now substitute the values of favorable outcomes and total outcomes in order to find the required probability.

$\\
\text{Probability =} \frac{\text{10}}{\text{45}} = \frac{2}{9}$

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3 years ago

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Quadrilateral abcd a(-9-6), B(-4-6), c(-3-2), and D(-8-2)

Katen [24]

Step-by-step explanation:

this is the answer

the quadrilateral thus formed is parallelogram

7 0

3 years ago

Can someone please help me! Big ideas 8.4 number 20

Harlamova29_29 [7]

<u>Answer:</u> The perimeter is about 20.26 units

<u>Step-by-step explanation:</u>

To calculate the distance between the points, we use the formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

where,

d = distance

$x_2\text{ and }x_1$ are the coordinates of the points on x-axis

$y_2\text{ and }y_1$ are the coordinates of the points on y-axis

For the given points:

B(0,3), C(4,-1), E(2,-3) and F(-2,1)

Calculating the distance BC:

$x_2=4\\x_1=0\\y_2=-1\\y_1=3$

Putting values in above equation, we get:

$BC=\sqrt{(4-(0))^2+(-1-3)^2}\\\\d=\sqrt{16+16}=5.66units$

Calculating the distance CE:

$x_2=2\\x_1=4\\y_2=-3\\y_1=-1$

Putting values in above equation, we get:

$CE=\sqrt{(2-(4))^2+(-3-(-1))^2}\\\\d=\sqrt{36+4}=4.47units$

To calculate the perimeter of a rectangle, we use the equation:

$Perimeter=2(l+b)$ ....(1)

where,

l = length of the rectangle = BC = 5.66 units

b = breadth of the rectangle = CE = 4.47 units

Putting values in equation 1, we get:

$Perimeter=2(5.66+4.47)\\\\Perimeter=20.26 units$

Hence, the perimeter is about 20.26 units

7 0

3 years ago