Solve |5x + 15| = 10x. Identify the solution and an extraneous solution.
A. Solution: x= 3; extraneous solution: x=-3
B. Solution: x= 3; extraneous solution: X=-1
c. Solution: x= 1; extraneous solution: X=-3
D. Solution: ×= -1; extraneous solution: X=3

Answer:

1328.88 cm^2

Step-by-step explanation:

Area = 6 * 1/2 * 22.6 * 19.6

= 1328.88 cm^2

[tex]\text{L.H.S}\\\\\sec x - \tan x \sin x\\\\\\=\dfrac{1}{\cos x}- \dfrac{\sin x }{ \cos x } \cdot \sin x\\\\\\=\dfrac 1{\cos x} - \dfrac{\sin^2 x}{\cos x}\\\\\\=\dfrac{1- \sin^2 x}{\cos x}\\\\\\=\dfrac{\cos^2 x}{\cos x}~~~~~~~~~~~~~;[\sin^2 x + \cos^2 x = 1]\\\\\\=\cos x\\\\\\=\text{R.H.S}\\\\\text{Since both sides are equal, the given equation is an identity.}[/tex]

Step-by-step explanation:

using elimination method because this is a simultaneous equation

3×x+6×y=111

x+y=27

1×[3x+6y=111]

3×[x+y=27]

3x+6y=111—equation 1

3x+3y=81—equation 2

substrate equation 1 from equation 2

3y=30

divide both sides by 3

y=10

substitute 10 for y in equation 1

3x+6y=111

3x+6(10)=111

3x+60=111

3x=111-60

3x=51

divide both sides by 3

x=17

Answer:

x = 3

Step-by-step explanation:

6x - 2 = 8x - 8 ( subtract 8x from both sides )

- 2x - 2 = - 8 ( add 2 to both sides )

- 2x = - 6 ( divide both sides by - 2 )

x = 3

Answer:

x=3

Step-by-step explanation:

Answer:

4.14

Step-by-step explanation:

3x : -2

-8 14

cross multiply

3x × 14 : -2 × 8

42 + 14x : -16

42+ 16 : 14x

58 : 14x

58 : x

14

4.14 : x

Answer:

D.3x²+x-6

Step-by-step explanation:

4x²-x²+3x-2x-2-4

3x²+x-6

Answer:

Step-by-step explanation:

8

The given shape in the image is not an equilateral triangle.

The triangle with all three sides equal and all the angles equal is called an equilateral triangle.

In the given figure we can see a triangle this triangle is not an equilateral triangle because the figure is formed between a square grid now if you see closely the base of the triangle can not be equal to the two sides of the triangle.

Because these two sides are the hypotenuse for the remaining right-angle triangle. So the base of the highlighted triangle can not be equal to the other two sides of the triangle.

Therefore given shape in the image is not an equilateral triangle.

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The first drop-down menu answer is 63.9 And the second drop-down menu answer is 116.1

The complete question is as given below:-

The angle by which turns clockwise about point B to coincide with is degrees. If from point B, a point E is drawn directly opposite point C so that B, E, and C are on the same straight line, the angle by which turns counterclockwise to coincide with is degrees.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

I have attached the figure for this problem and there are two questions for this problem. The first is the angle needed for AB to turn to coincide with BC.

Simply, get add the measures of the angles ABD and DBC. So,

33.3 + 30.6 = 63.6 degrees

The second question is the angle needed for AB to turn to coincide with EB. Angle EBA is complementary with angle ABC. So,

180 - 63.6 = 116.4 degrees

Therefore for first drop-down menu answer is 63.9 And the second drop-down menu answer is 116.1

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Answer:

90

Step-by-step explanation:

90

Answer:

2 I believe

Step-by-step explanation:

you do 4x12 then divide it by 6x4 then it would be n equals 2

Answer:

[tex]\textbf{C.}~2x^4 -9x^3-8x^2 +15x[/tex]

Step-by-step explanation:

[tex]~~~~(x^2 -5x)(2x^2 +x-3)\\\\=2x^4+x^3 -3x^2 -10x^3 -5x^2 +15x\\\\=2x^4 -9x^3-8x^2 +15x[/tex]

Answer:

The meal was $20

Step-by-step explanation:

20%= 1/5

1/5=4/? ---> one converts to four by multiplying it by 4 so you should do the the same with the denominator which is five.

5×4= 20

Answer:

it would be a vertical shift of 5 down

Step-by-step explanation:

I'm learning the same thing rn and that's right

Answer:

$301

Step-by-step explanation:

 Charge for 1 hour = $ 72

To find the cost for 3 hours, multiply hourly rate ($72) by 3

Charge for 3 hours = 72 * 3  = $ 216

Now, to find the total cost, add the charge for 3 hours and the fixed rate.

Total cost = fixed rate + charge for 3 hours

                = 85 + 216

                = $ 301

Question has errors in typing that 572 should be √57/2

Because if it's 572 then 2a=1 so

Also

c also comes different

If it's like what I said

then

and

By putting values

Option B can be correct

Answer:

B: a = 1, b= 7, c = -2

Step-by-step explanation:

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Given:

[tex]x=\dfrac{-7\pm\sqrt{57}}{2}[/tex]

Comparing the terms of the given x-value with those of the quadratic formula:

[tex]\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}=\dfrac{-7\pm\sqrt{57}}{2}[/tex]

Therefore:

Using the found values of a and b to solve for c:

[tex]\implies b^2-4ac=57[/tex]

[tex]\implies (7)^2-4(1)c=57[/tex]

[tex]\implies 49-4c=57[/tex]

[tex]\implies -4c=57-49[/tex]

[tex]\implies -4c=8[/tex]

[tex]\implies c=-2[/tex]

In summary:   a = 1,  b = 7,  c = -2

[tex]\implies x^2+7x-2=0[/tex]

Therefore, option B is the correct solution.

The heights of plant A and plant B will be equal on the day 8.

The height of the tree can be found as follows:

The equation for plant A can be described as follows:

y = 1 + 0.5x

where

x = number of days

y = height

The equation for plant B can be described as follows:

y = 3 + 0.25x

Therefore, for the height to be equal

1 + 0.5x =  3 + 0.25x

1 - 3 = 0.25x  - 0.5x

-2 = -0.25x

x = 2 / 0.25

x = 8 days

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A force F, of 25 newtons pulls at an angle of 20° above due east

A force F₂ of 35 newtons pulls at an angle of 55° below due west

Find the magnitude and direction of the resultant force

Answer:

x = 19/2 or 9.5

Step-by-step explanation:

Hello!

We can distribute the parenthesis and solve.

Move all x terms to one side and integer terms to the other

Answer:

2/3

Step-by-step explanation:

Probability (b or e) :

⇒ There are 3 b's and 3 e's in the word "bumblebee"

⇒ P (b or e) = No. of b's and e's / Total letters

⇒ P (b or e) = 3 + 3 / 9

⇒ P (b or e) = 6/9

⇒ P (b or e) = 2/3

The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.

The curves are given below.

x = t⁵ + 1 and y = t⁶ + t

Then differentiate the functions with respect to t, then we have

[tex]\rm \dfrac{dx}{dt} = 5t^4\\[/tex]   ...1

and

[tex]\rm \dfrac{dy}{dt} = 6t^5 + 1[/tex]   ...2

Divide equation 2 by equation 1, then we have

[tex]\rm \dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } = \dfrac{dy}{dx} = \dfrac{6t^5 + 1}{5t^4}[/tex]

Then the slope of the equation at t = −1, then we have

dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]

dy/dx = (-6+1)/5

dy/dx = -5/5

dy/dx = -1

Then the equation of the tangent line will be

y = -x + c

x + y = c

Where c is a constant.

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The length of the second pen is 11.25 units.

A rectangle is a polygon with four sides , the opposite sides are parallel and equal .

it is given in the question that

Saif is building a rectangular pen for his dog. the dimensions are 15 units long and 7 units wide

length new = 75% length initial

Length new = (75/100) * 15

Length new = 0.75 * 15

Length new = 11.25 units

The length of the second pen is 11.25 units.

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Answer: A

Step-by-step explanation: BIG BRAIN

Answer:

26 display cases

Please give brainliest!
Hope this helps :)

if Jamaal has 1920 stamps, and he wants to place them in diplay cases that can each hold 72 stamps, we figure out how many display cases can be filled with stamps by finding out 1920/72

This gives us 26 2/3, but 2/3 isn't 1.

he can fill 26 cases

Answer:

Step-by-step explanation:

Let the shorter sides be x.

The angle at common vertex of congruent sides is less than 90°, since it is acute triangle.

It means the other congruent angles are greater than 45°, according to angle sum theorem.

The vertical bisector divides the triangle in half, with base 8/2 = 4 cm and hypotenuse x.

It gives us the inequality:

Correct choice is D

Answer:

[tex]\text{1st term} = 3\\\\\text{Common ratio} = 2[/tex]

Step by step explanation:

[tex]\text{Given that,}\\\\\text{5th term} = ar^{5-1} = ar^4 = 48~~~~~~~~...(i)\\ \\\text{8th term} = ar^{8-1} = ar^7 = 384~~~~~~~...(ii)\\\\\text{1st term,}~ a = ?\\\\\text{Common ratio,}~ r = ?\\\\(ii) \div (i):\\\\~~~~~~\dfrac{ar^7}{ar^4}=\dfrac{384}{48}\\\\\implies r^{7-4} = 8\\\\\implies r^3 = 8\\\\\implies r^3 = 2^3\\\\\implies r =2\\\\\text{Substitute r = 2 in eq (i):}\\\\~~~~~~a\cdot 2^4 = 48\\\\\implies 16a =48\\\\\implies a = \dfrac{48}{16}\\\\\implies a = 3\\[/tex]

Answer:

Step-by-step explanation:

angle c

The angle of the triangle with the greatest measure is ∠A

A triangle is a polygon with three sides and three angles.

Analysis:

For the triangle, ABC the angle facing the side with the greatest measure is the angle with the greatest measure. From the given information side BC is the side with the greatest measure and the angle facing it is ∠A.

In conclusion, the angle with the greatest measure is ∠A

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Answer: Choice A

The two characteristics here are:

The graph of choice B is [tex]y \le 2x-3[/tex] since we have a solid line and shading below the solid line. This time points on the boundary are part of the solution set.