The perimeter of a square is 16 cm. Find the length of its diagonal.​

Answer:

x= 5/2= 2.500

x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)

x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((2 • (x3)) -  3x2) -  3x) -  5  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((2x3 -  3x2) -  3x) -  5  = 0  

STEP

3

:

Checking for a perfect cube

3.1    2x3-3x2-3x-5  is not a perfect cube

Trying to factor by pulling out : 3.2      Factoring:  2x3-3x2-3x-5  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3x-5  

Group 2:  -3x2+2x3  

Pull out from each group separately :

Group 1:   (3x+5) • (-1)

Group 2:   (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :

Answer:

2x² + 5x – 18 Remainder 59

Step-by-step explanation:

2x³ – x² – 3x + 5 ÷ x + 3

                   2x² + 5x – 18

x + 3 √ 2x³ – x² – 3x + 5

        – 2x³ – 6x²

            0  +  5x² – 3x + 5

                  – 5x² + 15x

                    0 – 18x + 5

                    – –18x –54

                             0 + 59

2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59

Answer:

x = 2.1

Step-by-step explanation:

We have:

[tex]\frac{x}{sin90}[/tex] = [tex]\frac{1.3}{sin38}[/tex]

=> sin38 × x = sin90 × 1.3

=> x = 1.3 ÷ sin38

=> x = 2.11155001... = 2.1

<3 Have a nice day!!

The value of x for the given triangle will be, x = 2.1.

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is used to solve problems involving angles and distances and is applied in a wide range of fields such as engineering, physics, architecture, and navigation, among others.

The value of x will be calculated as,

x / sin(90) = 1.3/ sin(38)

sin38 × x = sin90 × 1.3

x = 1.3 ÷ sin38

x = 2.11155001...

x = 2.1

The value of x will bed x =2.1.

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Answer:

Linear functions are

f(x) = 0.45 x - 1

f(x) = 5

f(x) = 4.5 x + 18

Quadratic function is

R(x) = 19x^2

Step-by-step explanation:

The linear function is a function in which the degree of function is 1.

So,

f(x) = 0.45 x - 1

f(x) = 5

f(x) = 4.5 x + 18 are the linear functions.

The quadratic function is a function in which the degree of function is 2.

So,

R(x) = 19 x^2 is a quadratic function.

The exponential function is a function which involves the exponents.

Answer:

pic

Step-by-step explanation:

Answer:

C. 40

Step-by-step explanation:

The smallest factor of 119 (other than 1) is 7.

28/7 = 4,

35/7 = 5,

40/7 = 5 5/7

63/7 = 9

So it is 40

Answer:

It is even because it is equal to 2(2n-3) so you can divide it by two and get (2n-3)

Step-by-step explanation:

[tex] {n}^{2} - 2 - ( {n}^{2} + 4 - 4n) = \\ {n}^{2} - 2 - {n}^{2} - 4 + 4n = \\ 4n - 6 = 2(2n - 3)[/tex]

Step-by-step explanation:

Answer:

Focus.

Step-by-step explanation:

.

Answer:

The correct answer is D. Focus.

Step-by-step explanation:

Answer:

Step-by-step explanation:

value of x must be any real number except 5

that is option 2.

value of y can be any real number

that is option 1.

Based on the property of function that is one input must have exactly one output.

the outputs can repeat themselves throughout the function whereas the input shouldn't repeat themselves.

Answer:

Step-by-step explanation:

Property: Each element in the input set should have one and only element in the output set.

1) Value of x can be  any real number except 5

2) Value of y can be  any real number except -2

Answer:

52°

Step-by-step explanation:

The angle 38° and m∠1 equal 90°, so 90-38=52.

Answer:

thats is an obtuse so if 2 is 38 then 1 should be 120 but u add those together u get 158 so it shold be 120 but if not then try looking explamles up

Step-by-step explanation:

Answer:

[tex]0.67x-2=0.43[/tex]

Step-by-step explanation:

2/3 = 0.6 repeating

3/7 = 0.42857

What is the value of tan in the unit circle below?

The value of tan in the unit circle below is

[tex] \frac{ \sqrt{3} }{2} [/tex]

Note:- Please attach the full question next time.

Answer:

1 and -1 are two rational numbers whose multiplicative inverse is same as they are.

Step-by-step explanation:

mark me brainlist

Answer:

The required ratio is 1 : 3.

Step-by-step explanation:

Let the length is L, width is W and the height is H.

Volume of the prism is

V = LW H

Volume of the pyramid

V' = 1/3 L W H

Ratio of volume of pyramid to the prism is

[tex]\frac{V'}{V} = \frac{1}{3}[/tex]

Answer:

57.3 minutes

Step-by-step explanation:

We know that the temperature as a function of time of an object is described by the equation:

[tex]T(t) = T_a + (T_0 - Ta)*e^{-k*t}[/tex]

Where:

k is a constant

Tₐ =  room temperature = 68°F

T₀ =  initial temperature of the object = 375°F

Replacing these in our equation we will get

T(t) = 68°F + (375°F - 68°F)*e^{-k*t} = 68°F + (307°F)*e^{-k*t}

And we know that after 25 minutes, at t = 25min, the temperature of the casserole is 190°F

then:

T(25min) = 190°F = 68°F + (307°F)*e^{-k*25 min}

Now we can solve this for k:

190°F = 68°F + (307°F)*e^{-k*25 min}

190°F - 68°F = (307°F)*e^{-k*25 min}

(122°F)/(307°F) = e^{-k*25 min}

Now we can apply the natural logarithm in both sides:

Ln( 122/307) = Ln(e^{-k*25 min}) = -k*25min

Ln( 122/307)/(-25 min) = k = 0.0369 min^-1

Then the temperature equation is:

T(t) = 68°F + (307°F)*e^{-0.0369 min^-1*t}

Now we want to find the value of t such that:

T(t) = 105°F = 68°F + (307°F)*e^{-0.0369 min^-1*t}

We can solve this in the same way:

105°F - 68°F =  (307°F)*e^{-0.0369 min^-1*t}

37°F =  (307°F)*e^{-0.0369 min^-1*t}

(37°F)/(307°F) = e^{-0.0369 min^-1*t}

Ln( 37/307) = -0.0369 min^-1*t

Ln( 37/307)/( -0.0369 min^-1 ) = 57.3 min

So after 57.3 minutes, the temperature of the casserrole will be 105°F

Answer:

-16

Step-by-step explanation:

-8 + (-8) = -16

Answer:

-16

Step-by-step explanation:

8x−7y=−8

Subtract 8 from each side

-8 +8x−7y=−8-8

-8+8x−7y=−16

Answer:

Step-by-step explanation:

A: true. Her graph goes 4 units up.

B: False. His graph goes 4 units to the left. Be sure you check this answer out.

C: True. It moved from (0,0) to (0,4)

D: Victor's graph move left in the minus direction. False.

E. True. See C.

The correct statements are true regarding the two graphs are as follows;

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.

Ava graphs the function h(x) = x^2 + 4.

Victor graphs the function g(x) = (x + 4)^2.

To find the y-intercept we plug in 0 for x;

[tex]\rm h(x) = x^2 + 4\\\\h(0)=(0)^2+4\\\\h(0)=4[/tex]

Ava’s graph has a y-intercept of 4.

Ava graphs the function h(x) = x^2 + 4.

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2.

Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function g(x) = (x + 4)^2.

If any number is added with x then the graph will be shifted left. the graph will be shifted in the negative x-direction.

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Answer:

The points lie INSIDE THE CIRCLE

hope it helps

have a nice day

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

p(-3)=1/4(-3)²+1=9/4+1=13/4=3.25

p(5)=1/4(5)+2.5

=5/4+2.5

=1.25+2.5

=3.75

Answer: -1/9

Step-by-step explanation:

Answer:

- 1/9 OR -0.111....

Step-by-step explanation:

Make x= -3

-3^-2= -1/9

Answer:

y = -x - 6

Step-by-step explanation:

Parallel lines have same slope

y = -x + 9   {y = mx  + c}

m = -1  

(x₁, y₁) = (7 , -13)

Equation: y - y₁ = m(x -x₁)

y - [-13] = -1(x -7)

y+ 13 = -x + 7

    y = - x + 7 - 13

y = -x - 6

Answer:

x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )

Step-by-step explanation:

I have attached the explanation on the image above, hopefully this help

Answer:

25

Step-by-step explanation:

put -5 from x so (-(-5))²=25

Solution:

For each occurence of x in f(x) substitute 4 and clculate the result

f(x)=-x^2+5 becomes

f(4)=-(4)^2+5

f(4)=-16+5

f(4)=-11

Answer:

[tex]x=8,\\y\approx 6.9[/tex]

Step-by-step explanation:

The side lengths of all 30-60-90 triangles are in ratio [tex]x:x\sqrt{3}:2x}[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.

In the given diagram, the side labelled 4 is opposite to the 30 degree angle. Since [tex]x[/tex] is labelled as the hypotenuse of the triangle, [tex]x[/tex] must be [tex]4\cdot 2=\boxed{8}[/tex].

Variable [tex]y[/tex] must then represent [tex]x\sqrt{3}[/tex] for [tex]x=4[/tex], yielding [tex]y=4\sqrt{3}\approx \boxed{6.9}[/tex]

Answer:

a

Step-by-step explanation:

think about it, its' obvious

Answer:

3(y+6)=30

3y + 18 = 30

18 - 30 = 3y

12 = 3y

12/3 = y

4 = y

or

y = 4

Answer:

P = 128 Post

Step-by-step explanation:

Total post needed = 216 posts

Number of post Jerry has = 88 posts

Number of posts jerry still needs = P

Total = Number of post Jerry has + Number of posts jerry still needs

216 = 88 + P

216 - 88 = P

128 = P

P = 128 Post

Answer:

143

Step-by-step explanation:

A = [tex]\frac{Base1 + Base2}{2}[/tex] x h

A = [tex]\frac{8 + 18}{2}[/tex] x 11

A = [tex]\frac{26}{2}[/tex] x 11

A = 13 x 11

A = 143

Answer:

none of the multiple choice are right, it's 143

Step-by-step explanation:

use trapezoid formula

a+b

------- h

2

26

----- h

2

13×11= 143