Solve for x and check for extraneous solutions. Round any answers to one decimal.
√3x +3+4= -7
X
Is the solution extraneous? Yes or No?

Answer:

4/8
3/8 + 1/8 = 4/8

The height of the equilateral triangle when its side length is given as 8 inches is calculated to be 6.93 inches.

The equilateral triangle has all sides and angles equal. The angles are always equal to 60 degrees.

Given that,

Side length of the equilateral triangle = 8 inches

Angles = 60 degrees

Height = ?

Therefore, let us find the height of the triangle using the Pythagoras theorem,

c² = a² + b²

8² - 4² = b²

b² = 64 - 16

b² = 48

b = 6.93 inches

Thus, the height of the equilateral triangle is calculated to be 6.93 inches.

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The domain and scope of the identity function are the same. Equation for the identity function is  f(x) = x, or y = x.

An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable). A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.

identity function are the same.

Equation for the identity function is

f(x) = x, or y = x.

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Solving provided question, we can say that the given linear equation is  y = -2x + 4 and -x -x +3(-2x + 4 ) + 9 = x = 7/3

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

the given linear equation is

y = -2x + 4 and -x +3y = -9

now,

-x +3(-2x + 4 ) + 9

-x - 6x - 12 +9 = 0

-7x = -3

x = 7/3

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Answer:The sum of first angle second angle =150

⇒  The ratio of third and fourth angle is 2:3

⇒  Let third angle fourth angle be 2x and 3x.

Step-by-step explanation:

150 +2x+3x=360

⇒  5x=210

⇒  x=42

⇒  Now, 2x=2×42

=84

⇒  3x=3×42

=126  

⇒  The measure of two angles are 84

 and 126

PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Sum of angles of quadrilateral = 360 degree

so 210+20+6x+7x = 360

230+13x= 360

13x= 360-230=130

x= 130/13=10

so third angle =6x= 6*10=60 degree

and 4th angle= 7x= 7*10=70 degree

Answer:

1 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 1/2 ( arc(SF) + arc(RQ))

ARC SF = 50

Arc RQ (the large one ) = 200

Large Arc RQ = 200

Arc SF = 50

x = 1/2 (50 + 200)

x = 1/2 250

x = 125

50-3x<20

the answer is C. 11

Answer:

C. 1

Step-by-step explanation:

I got this right on my test

The number of feet is dependent on the number of yards. The table is completed as shown in the attachment.

A variable whose value can be determined only if another variable's value is known is called a dependent variable. Thus the value of the variable depends on another variable.

In the given question, the number of feet can be known when that of yards is multiplied by a multiplicative factor. The value of the factor can be determined as;

multiplicative factor = 15/ 5

                                      = 3

So that feet is related to that of yards by this expression;

feet = multiplicative factor * yards

Thus,

when yards is 2, then;

feet = 3 * 2

       = 6

when feet = 12

12 = 3 * yards

yards = 12/ 3

         = 4

Thus the complete table is herewith attached to this answer for more clarifications.

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Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

f(x) =2(3ˣ) is an exponential function which has an initial value of 2.

Another word for "involving an exponent" in mathematics is exponential. For instance, an exponential rise in a number occurs when you raise it to the tenth power.

A mathematical function with the formula f(x) = aˣ is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently seen. A variable is used as the exponent in exponential functions.

The exponential function that has an initial value of 2 is f(x) = 2ˣ.

f(x) = 2(3ˣ) can be written as f(x) = 2 × 3ˣ, so it starts at 2 × 3⁰ = 2 × 1 = 2.

f(x) = 3(2ˣ) can be written as f(x) = 3 × 2ˣ, so it starts at 3 × 2⁰ = 3 × 1 = 3

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Answer:

where are the angles or image

Answer:

I think the answer is 3:1. found it by counting the no. of boxes

Answer:

79

Step-by-step explanation:

3x +16 + 5x - 4 = 180

8x +12 = 180

8x = 180 -12

8x = 168

x=21

3*21+16= 79

It is 10

I REALLY HOPE THIS HELPS :D

Answer:

7.96 centimeters squared

Step-by-step explanation:

In the photo.

Answer:

1,705 elk

Step-by-step explanation:

7,750 / 50 =  155 groups of elk

155 groups x 11 per group = 1,705 elk.

A statement which is known as tautology is a type of compound statement in whose result is always the truth value. We don't take in consideration the other individual values in consideration , the result in tautology is always true.

It is one of the most significant part in logical mathematics if we need to find the most accurate answers or findings among a given group of answers.

In mathematics, tautology is used so as to ensure that the results which is obtained are true and exact and not false . A tautology is a compound statement and it will always returns true value. The result in tautology is always true, regardless of what the constituent parts are.

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The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm

Given:

radius of the pool increases at a rate of 24 cm/min

To Find:

How quickly does the pool's area grow when the radius is 5 cm?

Solution:

we are given with the circular pool

hence the area of the circular pool =

A = πr²-----------------------------(1)

The area of the pool os increasing at the rate of 24 cm/min, meaning that the area of the pool is changing with respect to time t

so differentiating eq (1)  with respect to t , we have

dA/dt =π 2r dr/dt

we have to find  dA/dt    with  dr/dt  = 24 cm/min and  r =  5cm

substituting the values

dA/dt = π 2(5)24

dA/dt =  π 26*8

dA/dt =  π 240

dA/dt =240π

dA/dt = 753.98

The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm

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Answer:

8 free drinks

Step-by-step explanation:

80 ÷ 20 = 4

4 × 2 = 8

Answer:

A mi encantar el arte.

A mis padres interesar el traje.

A ti importar las botas.

A Emelio encantar los deportos.

A Nosotros interesar viajar.

Answer:

Alex deleted 37.5 selfies

Step-by-step explanation:

Let X be the number of selfies that Vic deleted.

Alex deleted 3X selfies.

After deleting selfies, Alex has 90-3X selfies left.

Vic has 75-X selfies left.

Since Alex has half as many selfies as Vic, we can set up the equation: 90-3X = (75-X)/2

Multiplying through the parentheses on the right side, we get: 90-3X = 75-X/2

Combining like terms, we get: 2X = 15

Dividing both sides by 2, we get: X = 7.5

Since X represents the number of selfies that Vic deleted, Vic deleted 7.5 selfies.

Since Alex deleted 3 times as many selfies as Vic, Alex deleted 37.5 = <<37.5=22.5>>22.5 selfies.

The number of selfies deleted by Alex is 51.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that Alex took 90 selfies and Vic took 75 selfies. Today, they each decided that some of these selfies were not very good and deleted them. Alex deleted three times as many selfies as Vic. Now, Alex has half as many selfies as Vic.

Let Vic deleted x selfies and number of selfies deleted by Alex is 3x,

Therefore,

Since, Alex has half as many selfies as Vic, we can set up the equation: 90-3x = (75-x)/2

180 - 6x = 75 - x

5x = 105

x = 17

3x = 51

Hence, the number of selfies deleted by Alex is 51.

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Answer:

78.57cm²

Step-by-step explanation:

English

We need to find the area of the circle.

The area of the circle is given by pie r². We know the value of pie and r is given . Putting the values

Area= pie r².

Area= 22/7* 5² =  22/7*25= 78.57cm²

We are not bothered by the area of the rhombus or the rhombus because we need to find the area of the circle.

Area of the rhombus is given by the product of the length of diagonals divided by 2. So if the rhombus lies at the center the length of each of its diagonal will be 10 cm. Because the length from the center of the circle to any point on the circle is equal to its radius. And the diagonal is formed by 2 radii.

Area of rhombus= 10*10/2= 50 cm²

Area of the circle excluding the area of the rhombus= 78.57- 50 = 28.57 cm²

Answer:

The top looks like a trapezoid and so does the bottom so it's a prism.

lets find the area of the base!

15(base 1) + 7(base2) = 22

22 x 5(height) = 110

110 divided by 2( x 1/2) = 55

Now we multiply by the actual height of the TOTAL prism which is 11.

55 x 11 = 605 cubic feet, is your answer.

Formula for AREA of a trapezoid:

B1(base 1) + B2(base 2) x H(height) x 1/2 (basically just dividing by 2)

Answer:

B. 10

Step-by-step explanation:

To find the answer we would plug each given number into x to see if it makes the equation true

A. 2(5) = 20

    10 [tex]\neq[/tex] 20

B. 2(10) = 20

    20 = 20

C. 2(20) = 20

    40 [tex]\neq[/tex]20

As you can see, the only answer that makes the equation 2x=20 true, is answer B

After solving, the length of the trains in meters is 60 meters.

In the given question, it takes a train of a certain length 15 seconds to pass under a sign, and it takes the same train 40 seconds to pass under a bridge that is 100 meters wide.

We have to find the length (in meters) of the train.

Let the length of the train is x.

The length of the bridge is 100 meters.

As we know that the formula of the speed is the ratio of distance that he traveled in the certain duration of time.

So Speed = Distance/Time

So according to the question;

(x + 100)/40 = x/15

Now solving the expression using the cross multiplication

15x + 1500 = 40x

Subtract 15x on both side, we get

25x = 1500

Divide by 25 on both side, we get

x = 60 meters

Hence, the length of the trains in meters is 60 meters.

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Answer:

i dont know the answer i just need points im sorry

Step-by-step explanation:

Answer:

The volume of the largest cylinder is 3.14(10)^2(30) = 9424.78cm^3

The volume of the smallest cylinder is 3141.59cm^3

The volume of the medium cylinder is 6282.67 cm^3

Step-by-step explanation:

the equation for a cylinder's volume is pi(r)^2(height)

The volume of the largest cylinder is 3.14(10)^2(30) = 9424.78cm^3 (remember the units!)

The volume of t he smallest cylinder is 1/3 the largest or: 9424.78/3 = 3141.59cm^3 (remember the units!)

The volume of the medium cylinder is 2/3 the largest or 9424.78(2/3) = 6282.67 cm^3

Answer:

c.3 got a 100

Step-by-step explanation:

C

Step-by-step explanation:

Answer:

Roots:  -7, 2

Step-by-step explanation:

-x² = 5x - 14

-x² -5x +14 = 0

x² + 5x - 14 = 0

(x + 7)(x -2) = 0

x = -7 or x = 2