special angles type 2
what does x equal
88
89
90

Expand -2(5x+8), simplify, isolate x by moving terms, and solve to get x = -15/8.

To solve the equation -2(5x + 8) = 14 + 6x step by step, here's what was done:

Step 1: Expand the left side of the equation by distributing -2 across the terms inside the parentheses:

-2(5x + 8) = -2 * 5x - 2 * 8 = -10x - 16

So, the equation becomes: -10x - 16 = 14 + 6x

Step 2: Group like terms together. Subtract 6x from both sides to get all the x terms on one side of the equation:

-10x - 6x = 14 + 16

This simplifies to: -16x = 30

Step 3: Now, isolate the variable by dividing both sides by -16:

(-16x)/(-16) = 30/(-16)

This simplifies to: x = -30/16 or x = -15/8

So, the solution for x is x = -15/8.

The complete question is here:

-2(5x+8)=14+6x The equation was solved using the following steps Step 1: -10z-16=14+6z Step 2: -16x-16=14 Step 3: -16x=30 Step 4: z= 21/-16 Step 5: z=- 15/8 Complete the statements below with the process used to achieve steps 1-4 Stop 12 to 5x and 8. Step 26x Step 3 : 16. Step 4: 16.

Answer:

B x^9 ∛ y

Step-by-step explanation:

(x^27 y) ^ (1/3)

x^27^(1/3) y^(1/3)

We can distribute the exponent a^b ^c = a^(b*c)

x^(27*1/3) y^(1/3)

x^9 y^(1/3)

Answer:

Approximately 24 feet.

Step-by-step explanation:

Refer to the two diagrams attached (created with Geogebra.)

The wire between the speaker and the amplifier shall be routed along the wall. The length of the connection depends on the height of the point P at which the wire turns. Point P is shown in green in both diagrams.

To find the optimal position of that turning point, imagine that the two adjacent walls of the room are unfolded into two rectangles in the same plane (diagram 2.) Consider the claim: the shortest connection shall be a straight line that links the two devices when the two walls are unfolded. This explanation will show why this claim is true using the triangle inequality theorem.

Assume this claim is false: the connection will be even shorter if the wire turns at P', which is a point other than P. The length of the connection is now the sum of the two segments:

In contrast, if the wire is routed through point P, the length of the connection will simply be

Point P is on the line that connects the amplifier and the speaker in diagram 2. However, P' is a point other than P, meaning that P' is off the line between the speaker and the amplifier. It is thus possible for the following three points to form a triangle:

By the triangle inequality theorem, the sum of any two sides of a triangle is greater than the length of the third side. To make full use of this theorem, consider the length of the three sides in this triangle:

[tex]\left\{\begin{array}{ll}\left.\begin{aligned}&\text{distance between amplifier and P}'\text{.}\\&\text{distance between P}' \text{ and speaker.}\end{aligned}\right\}&\text{Length of the second connection}\\\text{distance between amplifier and speaker}\end{array}\right.[/tex].

The sum of the first two distances shall be greater than the third. In other words, the length of the connection through P' will be greater than the length of the connection through P. This fact contradicts the assumption that the original claim is false. In other words, the claim that P gives the shortest connection is true.

Find the length of the shortest connection using the Pythagorean Theorem. Refer to the second diagram, the connection is the hypotenuse of a right triangle with

The length of the connection (the hypotenuse) will be:

[tex]\sqrt{23^{2} + 7^{2}}\approx 24[/tex] feet.

Answer:

x=7

Step-by-step explanation:

Solve for x:

3 x + x + 5 = 33

x + 3 x = 4 x:

4 x + 5 = 33

Subtract 5 from both sides:

4 x + (5 - 5) = 33 - 5

5 - 5 = 0:

4 x = 33 - 5

33 - 5 = 28:

4 x = 28

Divide both sides of 4 x = 28 by 4:

(4 x)/4 = 28/4

4/4 = 1:

x = 28/4

The gcd of 28 and 4 is 4, so 28/4 = (4×7)/(4×1) = 4/4×7 = 7:

Answer:  x = 7

The larger number is 26 and the smaller number is 7.

To determine the solution, take the following steps:

The given equation is  x + 3x + 5 = 33

Combine similar terms: x + 3x =33 - 5

Add similar terms: 4x = 28

Divide both sides by 4 : 7

The larger number = 33 - 7 = 26

To learn more about division, please check: https://brainly.com/question/13281206

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Answer:

-6ab+a+1

Step-by-step explanation:

add or subtract like terms.

The difference between (-5ab+a+3) and (ab+2) is calculated by combining like terms and performing the subtraction, resulting in -6ab + a + 1.

To find the difference between the two expressions (-5ab+a+3) and (ab+2), we need to subtract the second expression from the first. Applying the distributive property of subtraction over addition (i.e., a - (b + c) = a - b - c), we get:

Putting it all together, the difference of the two expressions is -6ab + a + 1.

[tex]\text{Hey there!}[/tex]

[tex]\text{In order for you to solve this equation, you need to DISTRIBUTE!}[/tex]

[tex]\text{The algebraic formula for distribution is: a(b+c) = a(b)+a(c) = ab + ac}[/tex]

[tex]\text{Now, that we have that portion solved, we can answer your question!}[/tex]

[tex]\text{3.5(2h) + 3.5(4.5)}[/tex]

[tex]\text{3.5(2h) = 7h}[/tex]

[tex]\text{3.5(4.5) = 15.75}[/tex]

[tex]\text{= 7h + 15.75}[/tex]

[tex]\boxed{\boxed{\bf{Answer:7h+15.75}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

14 - [tex]\sqrt{23}[/tex]

Step-by-step explanation:

CD=22 => ED=11

AD=14 (radius). With Pythagorean theorem, [tex]AE^{2}[/tex]=[tex]AD^{2}[/tex]-[tex]ED^{2}[/tex] => AE = [tex]\sqrt{23}[/tex]

EB= AB-AE = 14 - [tex]\sqrt{23}[/tex]

The measure of EB from the expression is 5.34

The given diagram is A circle with the following sides

radius AB = 14

CD = 22

From the diagram, AB = AE + EB

Determine the measure of AE using Pythagoras theorem

AD² =AE² + ED²

14² = AE² + 11²

AE² = 14² - 11²

AE² = 196 - 121

AE² = 75

AE = √75

AE = 8.66

EB = AB - AB

EB = 14 - 8.66

EB = 5.34

Hence the measure of EB from the expression is 5.34

Answer:

90°

Step-by-step explanation:

a full rotation is 360° but since there are 4 angles, then divide the 360 by 4 and you'll get 90°

Answer:

8640 in ^2

Step-by-step explanation:

1 ft = 12 in

60ft^2 * 12 inches  * 12 inches

             --------------     --------------   = 8640 in ^2

              1  ft                1   ft

Answer:8640

Step-by-step explanation:

Answer:

AB is 6 units

Hope this helps

Step-by-step explanation:

The scale factor of the dilation is: 2.5.

The length of AB is: 6 units.

The scale factor of a dilation (reduction or enlargement) = dimension of new figure / corresponding dimension of original figure.

The scale factor of the image given = B'C'/BC

Scale factor = 9.5/3.8 = 2.5

To find the length of AB, divide the length of A'B' by the scale factor of the dilation.

AB = 15/2.5

AB = 6 units. (option A)

Learn more about scale factor on:

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Answer: π/180

Step-by-step explanation:

510 Degree (°) =. 8.90118 Radian (rad) Degree : A degree, a degree of arc or arc degree is a measurement of plane angle, on behalf of 1/360 of a full rotation. The symbol for degree is °. It is not an SI unit, however, it is accepted for use with SI. One degree is equal to π/180 radians.

Answer:

17pi/6 rad

Step-by-step explanation:

2 pi radians = 360 degrees

Divide both sides by 2.

pi radians = 180 degrees

From the statement above, you get the conversion factors:

(pi rad)/(180 deg) = (180 deg)/(pi rad) = 1

Both fractions above equal 1. Since multiplying by 1 does not change the number, multiply 510 deg by the fraction above that will cancel out degrees and will leave you with radians.

510 deg * (pi rad)/(180 deg) = 510pi/180 rad = 17pi/6 rad

Answer:  2x³(x² + 5x - 11)

Step-by-step explanation:

2x⁵ + 10x⁴ - 22x³

Factor out the GCF (2x³)

2x³(x² + 5x - 11)

Since there are no values whose product is -11 and sum is +5, this cannot be factored further.

Answer:

B and D

Step-by-step explanation:

The polynomial x² + 6x - 8 ( from values in first row )

is being evaluated at x = - 5 thus the factor is (x + 5)

If (x + 5) is a factor the remainder = 0

Hence (x + 5) is not a factor since remainder = 12 ≠ 0

When the polynomial is evaluated at x = 5  it's value is 12

The remainder theorem states that f(h) = remainder, hence

f(- 5) = 12 ← remainder

Answer:

2

Step-by-step explanation:

m² = 4² + 8²  

m² = 16 + 64

m² = 80

l² = k² + 4²

l² = k² + 16

m² + l² = (k + 8)²   m² = 80,  (b)

80 + k² + 16 = k² + 16k + 64

k² - k² - 16k = 64 - 80 -16

-16k = -32

k = -32/-16

k = 2

Answer:

a system of equations has 1 solution. if 4x-y=5 is a new of the equations which could be the other equation

The question asks for an algebraic expression. Based on the phrases used, the expression can be written as (5x³ - 4)/x.

The subject of your question involves algebra, which is a branch of mathematics. When the question asks for the 'quotient of the difference of 5 times x cubed and 4 and x', it is asking for an algebraic expression. This expression can be written as (5x³ - 4)/x. This expression cannot be simplified further as the terms in the numerator are not like terms.

Remember that the 'difference' refers to subtraction, 'quotient' refers to division, and 'times' refers to multiplication in algebra. Also, 'x cubed' means x is being raised to the power of 3.

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Answer:

18 + -3

Step-by-step explanation:

It is not really an estimate because it is obviously seen that +- = -.

Answer:

4

Step-by-step explanation:

The mean of a set of data: (n₁ + n₂ + n₃...)/n, where n₁,₂,₃... are numbers in the set, and n is the number of numbers.

Plug in: (1 + 5 + 5 + 7 + 3 + 3 + 4)/7

Add: 28/7

Divide: 4

Answer:

4

Step-by-step explanation:

When finding the mean of a data set you add up all the numbers and divide it my how many numbers there is

1+5+5+7+3+3+4= 28

28 divided by 7 = 4

Mean of the set of data is 4

Hope this helps :)

if it does please mark brainliest :D

- A. Hazle <3

Answer:

Step-by-step explanation:

A= 1 * 1 = 2

A2 = 1 * (1 * 1)

A2 = 1 * 1

A2 = 1

a3 = 1 * 1 * (1 * 1)

a3 = 1 *1 * 1

a3 = 1 * (1*1)

a3 = 1* 1

a3 = 1

You keep on going in this manner until you hit 1^65 = 1

The only thing you have to accept is that (1 * 1) = 1

Answer:

2x^2-4x=14

x^2-2x=7

x^2-2x+1=8

(x-1)^2=8

Answer:

a. -29

Step-by-step explanation:

The expression is:

24÷(-2)(3)+7

We can see that there is division, multiplication and addition involved. We will use the mathematical DMAS rule to solve the problem. So, division will be done first,

Division will give us:

24÷(-2)*(3)+7

= -12 * 3 + 7

After division, multiplication will be done:

Multiplication will give us:

= -36 +7

which equals to -29

So, option a is the correct answer ..

Answer:

A. y - x = -4

Step-by-step explanation:

y=x-4

To get infinite equations, the equation must be equal to y=x-4

We will solve each of these for y to see if they are identical

A. y - x = -4  

 Add x to each side

y-x+x = x-4

y = x-4

This is the same

It will give infinite solutions

B. y - x = -2

y-x+x = x-2

y =x-2

This is not the same.

It is parallel and will give no solutions

C. y - 4 = x

y-4+4 = x+4

y = x+4

This is parallel and will give no solutions

D. y + 4x = 1

y +4x-4x = -4x+1

This will intersect at a point

Answer: The correct answer is c.

Step-by-step explanation:

I just answered the question for school

Answer:

B.0.75x + 1.5= 10

Step-by-step explanation:

Answer:

B. 0.75(x)+1.50 = 10

and 11.333333333....

Step-by-step explanation:

Answer: $5,591

Step-by-step explanation:

4% = .04

5824 x .04 = 232.96

5824 - 232.96 = 5591

Before sales tax, the car cost $5591

For this case we have the following expression:

[tex]e ^ {\frac {1} {2}}[/tex]

We must evaluate the expression, then:

[tex]e ^ {0.5} =[/tex]

If we enter the expression in a calculator we have that the decimal form is given by:

[tex]1.64872127[/tex]

If we round the expression we have to:

[tex]e ^ {\frac {1} {2}} = 1.7[/tex]

The option that is closest is option A.

Answer:

Option A

[tex]

\dfrac{1}{x-1}-\dfrac{3}{x^2+2x-3} \\

\dfrac{1}{x-1}-\dfrac{3}{(x+3)(x-1)} \\

\dfrac{1\cdot(x+3)-3}{(x+3)(x-1)} \\

\dfrac{x+3-3}{(x+3)(x-1)} \\

\dfrac{x}{(x+3)(x-1)}

[/tex]

Hope this helps.

r3t40

Answer:

Because of the minus sign

2 becomes - 2

The answer is -2

Multiply a and 7

Multiply a and 1

The a just gets copied along.

The answer is a

a

7*a evaluates to 7a

Multiply b and 4

Multiply b and 1

The b just gets copied along.

The answer is b

b

4*b evaluates to 4b

7*a+4*b evaluates to 7a+4b

Multiply -2 by 7a+4b

we multiply -2 by each term in 7a+4b term by term.

This is the distributive property of multiplication.

Multiply -2 and 7a

Multiply 1 and a

The a just gets copied along.

a

-2 × 7a = -14a

Multiply -2 and 4b

Multiply 1 and b

The b just gets copied along.

b

-2 × 4b = -8b

-2*(7*a+4*b) evaluates to -14a-8b

Multiply c and 6

Multiply c and 1

The c just gets copied along.

The answer is c

c

6*c evaluates to 6c

The answer is -14a-8b-6c

-2*(7*a+4*b)-6*c evaluates to -14a-8b-6c

The final answer is

-14a-8b-6c

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

15/9 =1.7

if u divide 3 by both of them you will have 5/3  .5/ 3 with give you 1.666666667 aproximately to 1.7 that is in one decimal plave

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a site called desmos, its a graphing calculator and you should use it :)

The function whose graph is given below is:

                    A)     [tex]y=3\sin (x-2)+1[/tex]

From the graph that is provided to us we observe that,

when x=2

then f(x)=1

Hence, we will check which function satisfies this point.

B)

[tex]y=3\cos(x-3)+1[/tex]

At x=2 we have:

[tex]y=3\cos (3-2)+1\\\\i.e.\\\\y=3\cos(1)+1\\\\y>1[/tex]

Hence, option: B is incorrect.

C)

[tex]y=6\sin (x-2)-2[/tex]

when x=2 we have:

[tex]y=6\sin (2-2)-2\\\\i.e.\\\\y=6\sin 0-2\\\\i.e.\\\\y=-2\neq 1[/tex]

Hence, option: C is incorrect.

D)

[tex]y=3\sin (x-2)+2[/tex]

when x=2 we have:

[tex]y=3\sin (2-2)+2\\\\i.e.\\\\y=3\sin 0+2\\\\i.e.\\\\y=2\neq 1[/tex]

Hence, option: D is incorrect.

So, we are left with option: A

A)

[tex]y=3\sin (x-2)+1[/tex]

when x=2

we get: y=1

Similarly all the other points are satisfied.

Also, the graph of this function matches the given graph.

Answer:

The correct option is B.

Step-by-step explanation:

The correct option is net.

A geometric net is a 2-dimensional shape that can be folded to form a 3-dimensional shape or a solid. Or you can say that  a net is a pattern made when the surface of a three-dimensional figure is laid out flat showing each face of the figure. A solid may have different nets.

The basic steps to determine whether a net forms a solid: are:

1. Make sure that the solid and the net have the same number of faces and that the shapes of the faces of the solid match the shapes of the corresponding faces in the net.  

2. Visualize how the net is to be folded to form the solid and make sure that all the sides are properly fit together.

Nets are helpful when we need to find the surface area of the solids....