Help and explain !!!!

Answer:

x=1

y= -1

z=2

Step-by-step explanation:

x+y+z=2 and x-y-2z=6

if z=2 then

x+y+2=2 and x-y+4=6

and these become

x+y=0 and x-y=2

usign linear cancellation method we get

2x=2

dividing both sides by 2 we get

x=1

then going back to one of the original equations and plugging x=1 and z=2 we get

1+y+2=2

solving for y we get

y= -1

Answer:

you need to solve for 'X'

mean 49 = 55 + 42 + 32 +48 + 55 + X

49 = (232+X) / 6

49 * 6 = 232 + X

294 = 232 + X

294 - 232 = X

62 = X

so therefore X is 62

Step-by-step explanation:

please give me a brainliest

Answer:

10 and 10

Step-by-step explanation:

This is because of the triangle having all sides with the same angle. This is a equilateral triangle

Answer:

she messed up on step two because she has to subtract 10 from both sides

Step-by-step explanation:

step 1: -6(x+3)+10<-2

step2:-6(x+3)+10-10<-2-10

step3: -6(x+3)<-12

step4: (-6)(x+3)(-1)≥(-12)(-1)

step5:6(x+3)>12

step6:divide both sides by 6

step7:simplify and subtract 3 from both sides and then simplify again

Answer:

$29.69

Step-by-step explanation:

23.52 * 1.1 = $25.872 so this is the marked up price. ----- (1.1 = 110%)

25.872 * 0.1475 = $3.81612  is the sales tax.

Total is 25.872 + 3.81612  ~ $29.69

Answer:

7 and 13

Step-by-step explanation:

The multiples of 91 are

1, 7, 13, and 91

Only 7 and 13 make 20

Answer:

Explanation

7x13

7x13=91

7+13=20

Answer:

110.01 (aprox)

Step-by-step explanation:

x + (1/x) = 5

x(x + (1/x)) = x(5)

x*x + x*1/x = 5x

x² + 1 = 5x

x² - 5x + 1 = 0

x = {-(-5)±√((-5²) -(4*1*1))} / (2*1)

x = {5±√(25-4)} / 2

x = {5±√21} / 2

x = {5±4.5826} / 2

x₁ = {5-4.5826} / 2 = 0.4174/2 = 0.2087

x₂ = {5+4.5826) / 2 = 9.5826/2 = 4.7913

Comprobación:

x₁

0.2087 + 1/0.2087 = 5

0.2087 +  4.7913 = 5

x₂

4.7913 + 1/4.7913 = 5

4.7913 + 0.2087 = 5

Respuesta:

x₁

(0.2087)³ + 1/(0.2087)³ = 0.0091 + 1/0.0091 = 0.0091 + 110.0101 = 110.019

x₂

(4.7913)³ + 1(4.7913)³ = 110 + 1/110 = 110 + 0.01 = 110.01

Answer:

(1.6, 6)

Step-by-step explanation:

[tex] ln({e}^{5 - 2x} = 6)[/tex]

[tex]5 - 2x = ln(6) [/tex]

[tex]2x = 5 - ln(6) [/tex]

[tex]x = \frac{5 - ln(6) }{2} [/tex]

y = 6

Answer:

The dependent variable is the amount of money he received for birthday.

Step-by-step explanation:

After his birthday, Benjamin has decided to donate a third of the money he received as a gift from his relatives to a foundation. Considering the variables amount of money received by Benjamin and amount of money that Benjamin will donate. to. What is the dependent variable in this situation.

Here, the money he received for the birthday is x.

So, he donated x/3.

The variable is the money which he gets, so the dependent variable is amount of money he received for the birthday.

Answer:

y=3x-8

Step-by-step explanation:

Answer:

Step 1 is incorrect.

Step-by-step explanation:

The given expression is :

[tex]\dfrac{5}{2}-3x-5+4x=\dfrac{-7}{4}[/tex]

In step 1, Deepak rearranged the terms in order to simplify like terms together that is followed in step 2.

o, rearranging of the terms of an expression is commutative property and not distributive property.  The distributive property is generally applicable to multiplication and is given as:

[tex]x(y+z)=xy+yz[/tex]

The commutative property is given as:

x+y = y +a

Therefore, adding terms by changing their order is commutative property of addition and not distributive property. Step 1 instruction is wrong.

Answer:

step1

Step-by-step explanation: yes   sirr

Answer:

Step-by-step explanation:

m∠2 =  [tex]\frac{1}{2}[/tex](55+41)

m∠2 =   [tex]\frac{1}{2}[/tex](96)

m∠2 =48°

m∠1 = 180-48 = 132°

Answer:

2

Step-by-step explanation:

1+1 = 2

So the answer is 2

hope this helps

Here is a Venn diagram:

Answer:

12. d= 14, C=14π, A=49π

13. r= 13, d=26, A=169π

14. r=9, C=18π, A=81π

15. r=10, d=20, C=20π

Step-by-step explanation:

============================================================

Explanation:

It might help to draw it out. See the diagram below.

The base is JK which is 7 units long. I'm picking this as the base because this segment is completely horizontal.

Notice how the base JK spans from x = -3 to x = 4, which we can use subtraction and absolute value to get |J-K| = |-3-4| = 7.

The height is always perpendicular to the base. If the base is JK = 7, then the height is the vertical distance from K (or J) to L. This vertical distance is also 7 units. Subtract the y coordinates and apply absolute value. The base and height aren't always the same number.

Now we can find the area of the triangle

area = base*height/2

area = 7*7/2

area = 49/2

area = 24.5 square units

Answer:

A

Step-by-step explanation:

A

Answer:

The answer is "[tex]v_1 \ and\ v_2[/tex] are equal".

Step-by-step explanation:

Its volume could be defined both by cone as well as the cylinders

[tex]\to \text{(base area)} \times \text{(solid height)} \times (\frac{1}{3})\\\\[/tex]

We are planning to write this as [tex]V = \frac{Bh}{3}[/tex]

When we relate this formula to the cylindrical and prism volume formula, we can see that when we multiply the cone volume by 3, the cylinder size where it is registered comes in. The very same goes for the pyramid as well as the inscription of the rectangular prism. That both pyramid and the cone have the same volume V, hence it would have the same volume of a cell and rectangle prism. [tex]v_1 \ and\ v_2[/tex] are so similar.

Answer:

propbability ???

Step-bp explanation:

Answer:

Step-by-step explanation:

This is an example of a statistical mean.

Answer:

The probability of finding aleast one or more defective charmins = 0.40951

Step-by-step explanation:

The probability of not finding a defective charmin = 1

probability of finding defective charmain = 1-0.1 =0.9

The probability of not finding all five defective item =

Then,

probability of not finding all five defective item=0.59049

Thus,

The probability of finding atleast one or more defective chairmins = 1-0.59049

Therefore,

The probability of finding atleast one or more defective chairmins =0.40951

Answer:

23.1948270095

Step-by-step explanation:

Answer:

[tex]{ \tt{y = - {x}^{2} - x + 6 }} \\ { \tt{ \frac{dy}{dx} = - 2x - 1}} \\ f {}^{'} (x) = - 2x - 1 \\ f {}^{'}(1) = - 2 - 1 \\ = - 3 [/tex]

Answer:

The length and width that maximize the area are:

W = 2*√8

L = 2*√8

Step-by-step explanation:

We want to find the largest area of a rectangle inscribed in a semicircle of radius 4.

Remember that the area of a rectangle of length L  and width W, is:

A = L*W

You can see the image below to see how i will define the length and the width:

L = 2*x'

W = 2*y'

Where we have the relation:

4 = √(x'^2 + y'^2)

16 = x'^2 + y'^2

Now we can isolate one of the variables, for example, x'

16 - y'^2 = x^'2

√(16 - y'^2) = x'

Then we can write:

W = 2*y'

L = 2*√(16 - y'^2)

Then the area equation is:

A = 2*y'*2*√(16 - y'^2)

A = 4*y'*√(16 - y'^2)

If A > 1, like in our case, maximizing A is the same as maximizing A^2

Then if que square both sides:

A^2 = (4*y'*√(16 - y'^2))^2

      = 16*(y'^2)*(16 - y'^2)

      = 16*(y'^2)*16 - 16*y'^4

      = 256*(y'^2) - 16*y'^4

Now we can define:

u = y'^2

then the equation that we want to maximize is:

f(u) = 256*u - 16*u^2

to find the maximum, we need to evaluate in the zero of the derivative:

f'(u) = 256 - 2*16*u = 0

      u = -256/(-2*16) = 8

Then we have:

u = y'^2 = 8

solving for y'

y' = √8

And we know that:

x' = √(16 - y'^2) = √(16 - (√8)^2) = √8

And the dimensions was:

W = 2*y' = 2*√8

L = 2*y' = 2*√8

These are the dimensions that maximize the area.

Answer:

Angle E is the included angle between sides DE and EF.

The included angle between sides FE and DF is angle F

Step-by-step explanation:

Given

[tex]\triangle D EF[/tex]

Required

Complete the blanks

To solve this, I will attach an illustration of [tex]\triangle D EF[/tex]

From the attached image of [tex]\triangle D EF[/tex], we can see that"

[tex]\angle E[/tex] is between DE and EF

[tex]\angle F[/tex] is between FE and DF

Answer:

see picture

Step-by-step explanation:

The value of c is 0.

By question,

17x² = 12x

or,(17x-12):x=0

or,17x - 12 = 0#

For some tips,

HENCE PROVED ##

Answer:

Step-by-step explanation:

An isosceles triangle is one that has 2 sides that are the same length, like ours here. Because of the Isosceles Triangle Theorem, if 2 side lengths are congruent, then the angles opposite those sides are congruent, as well. That means that both base angles are 53 degrees. However, we are looking for the altitude, or height, of the triangle. That changes everything. Drawing in the height serves to cut the triangle in half, splitting both the vertex angle (the angle at the top of the triangle) and the base exactly in half. Now we have 2 right triangles which are mirror images of each other. We only need concentrate on one of these triangles. What the triangle looks like now:

One base angle is 90 degrees and the other is 53 degrees. By the Triangle Angle-Sum Theorem, the third angle has to be a degree measure which ensures that all the angles add up to 180. Therefore, the third angle measures 180 - 90 - 53 = 37. Even still, besides knowing all the angle measures, we really don't need any besides the 53 degree one.

As far as side lengths go, the base is 12 (because the height cut it in half). To find a missing side in a right triangle you either use Pythagorean's Theorem or right triangle trig, depending upon the info you're given. We only have enough to use right triangle trig.

We have the base angle of 53, which is our reference angle, the side next to, or adjacent to, the reference angle, and we are looking for the side length opposite the reference angle. This is the tan ratio where

[tex]tan\theta=\frac{opp}{adj}[/tex]  where tangent of the reference angle is equal to the side opposite the reference angle over the side adjacent to the reference angle. Filling in that ratio:

[tex]tan53=\frac{opp}{12}[/tex] and multiply both sides by 12 to get

12tan53 = opp and do this on your calculator to get that

opp = 15.9 inches

Answer:

40

Step-by-step explanation:

A = base x height

8 is base

5 is height (the height has to be perpendicular to the base. That's what the little square denotes. Along with the angle being 90°.

A = 8 x 5

A = 40