Which expression is equivalent to

Answer:

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3

Answer:

135

Step-by-step explanation:

The sum of the interior angles of a pentagon is 540

3x+3x+2x+2x+2x = 540

12x = 540

Divide by 12

12x/12 = 540/12

x = 45

E = 3x = 3*45 = 135

Answer:

135

Step-by-step explanation:

Answer:

Parthava had 100 arrows.

Step-by-step explanation:

Let's define N as the number of arrows that Parthava originally has.

He uses one-half of them in defending himself, so he used N/2 arrows

Now he uses four times the square root of the number of arrows, so now he uses:

4*√N

Then he uses 6

Then he uses 3

Then he uses the last one.

If we add all these numbers of arrows that he used, we should get the initial number of arrows that he used, then:

N/2 + 4*√N  + 6 + 3 + 1  = N

Now we have an equation that we can try to solve.

First, let's move all the terms to the same side:

N/2 + 4*√N + 6 + 3 + 1 - N  = 0

now we can simpify it:

(N/2 - N) + 4*√N + (6 + 3 + 1) = 0

-(1/2)*N + 4*√N + 10 = 0

Now we can define a new variable x = √N

Then we have: x^2 = N

now we can replace these new variables in our equation to get:

-(1/2)*x^2 + 4*x + 10 = 0

Now we just have a quadratic equation.

Remember that for a quadratic equation of the form:

0 = a*x^2 + b*x + c

The solutions were given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a}[/tex]

Then in our case, the solutions will be:

[tex]x = \frac{-4 \pm \sqrt{4^2 - 4*(-1/2)*10} }{2*(-1/2)} = \frac{-4 \pm 6 }{-1} = 4 \pm 6[/tex]

So there are two solutions:

x = 4 + 6 = 10

x = 4 - 6 = -2

And remember that x = √N

Then x should be positive, then we take x = 10 as our solution here.

then we can use the equation:

x = 10 = √N

then

10^2 = √N^2 = N

10^2 = 100 = N

Parthava had 100 arrows.

Step-by-step explanation:

Area=b×h

= (x+5)×(x+6)

=x^2+6x+5x+30

=x^2+11x+30

If u simplify u will get (x+5)(x+6) as answer.

Keep smiling and hope u are satisfied with my answer.Have a good day :)

Answer:

Neither a relation nor a function

Step-by-step explanation:

A relation in mathematics is a relationship between two or more set of values in an ordered pair, such as related x and y-values

An equation is a statement that gives declare the equality between two expressions

A function is a mapping rule that maps each element in the domain set to only one element in the range set

Therefore, the given equation in one variable, x, that asserts the equality of the expressions on the left and right hand side, is neither a relation nor a function

Answer:

3.71 yd

Step-by-step explanation:

Heron's formula:

area = 0.25 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))

so h = 0.5 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c)) / c

a = 6

b = 10

c = 14

a+b+c = 30

-a+b+c = 18

a-b+c = 10

a+b-c = 2

x = h = 0.5×sqrt(30×18×10×2)/14 = sqrt(30×18×10×2)/28 =

= sqrt(10800)/28 = sqrt(400×9×3)/28 =

= 20×3×sqrt(3)/28 = 60×sqrt(3)/28 = 15×sqrt(3)/7 =

= 3.711537 yd

Answer:

x> 0

Step-by-step explanation:

There is an open circle at 0 so this means it is not equal to

The line goes to the right so x is greater than

x> 0

Answer:

102

Step-by-step explanation:

x= 12

y= 30

z= 60

Hope u got it

Answer:

Hello,

a) -6

b) -39

c) 102

Step-by-step explanation:

I suppose this are sequence arithemical or geometrical

[tex]a)\\u_1=-14\\u_2=x\\u_3=-6\\u_4=y\\u_5=2\\u_6=z\\u_7=10\\\\We\ see\ that\ :\\u_3-u_1=-6-(-14)=-6+14=8\\u_5-u_3=2-(-6)=2+6=8\\u_7-u_5=10-2=8\\\\We\ may \imagine\ that\ the\ difference\ bethween\ 2\ terms\ is\ =8/2=4\\\\so\ x=-10, y=-2, z=6 \ and\ x+y+z=-10+(-2)+6=-6\\[/tex]

[tex]b)\\u_1=x\\u_2=-2\\u_3=4\\u_4=y\\u_5=16\\u_6=z\\u_7=64\\\\We\ see\ that\ :\\\\\dfrac{u_5}{u_3}=\dfrac{16}{4} =4\\\dfrac{u_8}{u_6}=\dfrac{64}{16} =4\\\dfrac{u_3}{u_2}=\dfrac{4}{-2} =-2\\\\The\ common\ factor\ is\ -2\\\\u_1=x=\dfrac{u_2}{-2} =1\\\\u_4=y=\dfrac{u_5}{-2} =-8\\\\u_6=z=\dfrac{u_7}{-2} =-32\\x+y+z=1+(-8)+(-32)=-39\\[/tex]

c)

All those numbers are divisor of 3*4*5=60

x=12, y=30, z=60

x+y+z=12+30+60=102

Answer:

circumference = 2*PI*radius

circumference = 2 * PI * 5 cm

circumference = 31.4159265358979 cm

50 km = 500,000 centimeters

rotations = 500,000  / 31.4159 cm

15,915.51  rotations

Step-by-step explanation:

Answer:

[tex]5x^{2} - 30x[/tex]

Step-by-step explanation:

Answer:

729000 year it's price will Rs 729000

Answer:

Positive/negative = negative

Negative/positive = negative

So -2 ÷ 8 and 15 ÷ (-5) are going to have negative quotients.

Let me know if this helps!

Step-by-step explanation:

I do hope that you understand through the steps in the attachment, if not kindly reach out!

Outlined sector:

2 πr x 225/360 +2r

=2x3.14x10 x 225/360 +20

=59.25 cm

Hope this helped!

Answer:

not D

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

m<D = 170°

Step-by-step explanation:

In a pentagon, the angles add up to 540°. This means the sum of <A, <B, <C, <D, and <E add up to that, and we can write an equation:

m<A + m<B + m<C + m<D + m<E = 540°

We are already given the measures of all the angles except D, so we can substitute them in:

87° + 125° + 63° + m<D + 95° = 540°

Now, we can simplify and solve for <D:

m<D + 370° = 540°

m<D = 170°

Answer:

b is the answer bro and try first then ask questions

Answer:

c = -2

Step-by-step explanation:

6c-8-2c = -16

4c -8 =-16

4c = -16 +8

4c = -8

4c/4 = -8/4

c = -2

Answred by Gauthmath

The solution of the equation 6c - 8 - 2c = -16 is -2 calculated by combining like terms and isolating the variable then dividing the equation by coefficient of the c variable.

To solve the equation 6c - 8 - 2c = -16, isolate the variable c on one side of the equation.

Combine like terms on the left side of the equation:

6c - 2c = 4c

The equation now becomes:

4c - 8 = -16

Take constant term on the right side of the equation by adding 8 to both sides:

4c - 8 + 8 = -16 + 8

The equation simplifies to:

4c = -8

To find the value of c, divide both sides of the equation by 4:

4c / 4 = -8 / 4

c = -2

Hence, the value of c is -2 in the equation  6c - 8 - 2c = -16.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Answer:

I don't know what to do so I just answered the volume of this tell me if I am wrong

Step-by-step explanation:

radius : 3.5 cm

volume : ?

now,

volume (v) : π × r (2)

: 22/7 × 3.5(2)

:22×3.5×3.5 by 7

therefore,

the volume is 38.5

Answer:

your answer is B.

Step-by-step explanation:

mode is 76, mean is 79, the median is 76.

Answer:

x=22.5

Step-by-step explanation:

(there's a correction in the question since the I did this one before, so I know)

(cos²x-sin²x)²-sin4x+sin²2x=0

or, cos²2x-sin4x+sin²2x=0

or, 1-sin4x=0

or, sin4x=1

or, 4x=90

or, x=22.5

Answer:

we can use 2 formule to solve your question: One is P*V=n(mol)*R*T(KELVIN)

Step-by-step explanation:

And other is P(first)*V(first)=P(last)*V(last)

8*22=16*?

the ?=11

4 sin(x) + 9 cos(x) = 0

4 sin(x) = -9 cos(x)

tan(x) = -9/4

x = arctan(-9/4) + nπ … … … (in radians)

or

x = arctan(-9/4) + 180n ° … … … (in degrees)

where n is any integer.

I'm guessing you're solving for x over some domain, probably 0° ≤ x < 360°. In that case, you would have two solutions for n = 1 and n = 2 of

x ≈ 113.96°   and   x ≈ 293.96°

Answer:

B

Step-by-step explanation:

Adjacent angles must have the same vertex, so if the middle letter of the three letters used to name each of the angles in a pair are not the same, the angles cannot be adjacent.

That eliminates choices A, C, and D.

Answer: B

Look in the picture first below. Each pair of angles with the same vertex marked in blue is a pair of adjacent angles. For two angles to be adjacent angles, they must be next to each other, have the same vertex, and one cannot be inside the other.

Now look in the second picture below. Each pair of angles marked in red is not a pair of adjacent angles. Some of them are not next to each other. Others have one angle inside the other.

Answer:

8z - 1

Step-by-step explanation:

Given

3 + 4(2z - 1) ← multiply each term in the parenthesis by 4

= 3 + 8z - 4 ← collect like terms

= 8z - 1

Answer:

-1 + 8z

Step-by-step explanation:

First use the distributive property of multiplication (Just multiply 4 with all numbers in the parenthesis):

3 + 4(2z - 1)

3 + 8z - 4

Group like terms:

3 + 8z - 4

-1 + 8z

The answer is -1 + 8z

Hope this helped.