simplify the following expressions ( combine like-terms )

Answer: 6

Step-by-step explanation:

Given DE, EF and DF, we know that DE and EF make up DF. We add DE and EF and set it equal to DF.

6x+4x=10                 [add]

10x=10                      [divide both sides by 10]

x=1

Now that we know x=1, we can plug that into DE.

6(1)=6

Now, we know that DE is 6.

Answer:

I believe the duration for $89.00 is 2 hours

Step-by-step explanation:

We start off with the $17 dollars and calculate 36.00+36.00 for a total of $89. Therefore, (120 mins)/60=2 hours.

Because this is a linear problem, I'd use the slope-intercept formula:

[tex]y = mx + b[/tex]

where

m = slope (rise/run)

y = dependent value

x = independent value

b = constant value

Because the plumber charges $17 upon arrival, it is our constant. The $36 is our slope (per hour, per minute, per etc. is generally a give away). Additionally because the total cost of the plumber's visit depends on how long s/he stays at a client's home, the $89 is our y value. Therefore the equation should look like this:

[tex]89 = 36x + 17[/tex]

Solve for x by subtracting 17 from both sides of the equation then dividing by 36.

[tex]72 = 36x[/tex]

[tex]2 = x[/tex]

The plumber spent two hours at his/her client's home.

Answer:

False

Step-by-step explanation:

Complementary angles form a right angle (L shape) and have a sum of 90 degrees. Supplementary angles form a straight line and have a sum of 180 degrees.

Answer:

15 students on each bus!

Step-by-step explanation:

100-10(with parents)

90÷6(how many busses)

15 students on each

The students travelling on each bus are 15.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

Total number of students is given as 100.

The students to travel on car are 10.

Then, the students to travel on bus are given by following operation as,

Total students - Students to travel on car

⇒ 100 - 10 = 90

Now, the students on each bus can be obtained by using the division operation as below,

Students to travel on bus ÷ Total number of bus

⇒ 90 ÷ 6 = 15

Hence, the number of students on each bus is obtained as 15.

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Answer:

1. number each step

2. start with the given informatiom

3. statements with the same reason can be combined into one step

4. draw a picture and mark it with the given information

5. you must have a reason for every statement

6. the order of the statements in the proof is not always fixed , but make sure the order makes logical sense

Answer:

y>0 Option D

Step-by-step explanation:

Answer:

The answer is D.)

Step-by-step explanation:

This is right on edg. 2020

Answer:

Step-by-step explanation:

√2x(7 + √2x)

7√2x + √2x ·√2x

7√2x + 2x

or

2x + 7√2x

A is the answer

Answer:

9t²+(t²+2)

Step-by-step explanation:

The product of 9 and t squared is expressed as 9×t² (product means multiplication)

9×t² = 9t²

Also, sum of the square of t and 2" is expressed as t² + 2 (sum means addition)

Finally, if the product of 9 and t squared, increased by the sum of the square of t and 2", the final expression will be the sum of the two expressions gotten. {Increment also means addition} i.e 9t²+(t²+2)

The algebraic expression is 9t²+(t²+2)

Answer:

slope =  [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (- 5, - 1)

m = [tex]\frac{-1-6}{-5+2}[/tex] =  [tex]\frac{-7}{-3}[/tex] = [tex]\frac{7}{3}[/tex]

Answer:  see proof below

Step-by-step explanation:

Given: A + B + C = π                    →    A + B = π - C

                                                    →    A + C = π - B

Use the Cofunction Identities:   sin (π - A) = sin A

                                                    sin (A - π/2) = cos A

                                                    cos (π/2 - A) = - sin A

Use the Power Reducing Identity:  sin ² A - sin² B = sin (A + B) · sin (A - B)

Use the Sum to Product Identity:

                                               sin A - sin B = 2 [cos (A + B)/2] · [sin (A - B)/2]

Proof LHS → RHS:

LHS:                                   sin² A - sin² B - sin² C

                                       = (sin² A - sin² B) - sin² C

Power Reducing:           sin (A + B) · sin (A - B) - sin² C

Given:                             sin (π - C) · sin (A - B) - sin² C

Cofunction:                    sin C · sin (A - B) - sin² C

Factor:                            sin C [sin (A - B) - sin C]

[tex]\text{Sum to Product:}\qquad \sin C\bigg[2\cos \bigg(\dfrac{(A-B)+C}{2}\bigg)\cdot \sin \bigg(\dfrac{(A-B)-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{(A+C)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(B+C)}{2}\bigg)\bigg][/tex]

[tex]\text{Given:}\qquad \qquad 2\sin C\bigg[\cos \bigg(\dfrac{(\pi - B)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(\pi - A)}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi -2B}{2}\bigg)\cdot \sin \bigg(\dfrac{2A-\pi}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi}{2} -B}\bigg)\cdot \sin \bigg(A-\dfrac{\pi}{2}\bigg)\bigg][/tex]

Cofunction:             2 sin C (-sin B) · (cos A)

                           = -2 sin C · sin B · cos A

                           = -2 cos A · sin B · sin C

LHS = RHS:   -2 cos A · sin B · sin C = -2 cos A · sin B · sin C  [tex]\checkmark[/tex]

Answer:

it is 12.2

Step-by-step explanation:

Answer:

52

you take 5 ÷ it by 7 the ×it by 595

A ratio is an ordered pair of numbers a and b written as a/b where b is not equal to zero.

if the number of women in the social club is 595 then the number of men in the social club is 425.

A ratio is an ordered pair of numbers a and b written  as:

a / b where b does not equal 0.

A proportion is an equation in which two ratios are equal to each other.

We have,

The ratio of men to women:

= 5:7

= 5/7

Let,

The number of men = 5x

The number of women = 7x

Now,

If the number of women = 595

We have,

7x = 595

Multiplying both sides by 5/7 we get,

5/7 x (7x) = 5/7 x 595

5x = 5/7 x 595

5x = 5 x 85

5x = 425

This means if there are 435 men in the social club if the number of women is 595.

Thus if the number of women in the social club is 595 then the number of men in the social club is 425.

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Answer:

x=−1

Step-by-step explanation:

Let's solve your equation step-by-step.

−5x−16+3x=−23−9x

Step 1: Simplify both sides of the equation.

−5x−16+3x=−23−9x

−5x+−16+3x=−23+−9x

(−5x+3x)+(−16)=−9x−23(Combine Like Terms)

−2x+−16=−9x−23

−2x−16=−9x−23

Step 2: Add 9x to both sides.

−2x−16+9x=−9x−23+9x

7x−16=−23

Step 3: Add 16 to both sides.

7x−16+16=−23+16

7x=−7

Step 4: Divide both sides by 7.

7x

7

=

−7

7

x=−1

Answer:

x=−1

Answer: x= -1

Step-by-step explanation:

Answer:

2 _ 3x. 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the x-axis. 0 Replace X X 3 35+2 3 -(x+7).

Step-by-step explanation:

Answer:

The slope is -4/3

I hope this helps :)

Answer: 6 tons

Step-by-step explanation: 4:10 is also 2/5 so all we need to do is 2/5 of 15 which is 6. [15x(2/5)]

Hope this helps!

Please mark Brainliest!

Answer:

-107/61

Step-by-step explanation:

-49x-63+3x+2=15x+40+6

-46x-61=15x+46

61x=-107

x=-107/61

the answer is 2/3 !!

yw gl

Answer:

3/4 wings per dollar

Step-by-step explanation:

We want to find wings per dollar

9 wings/ 12 dollars

Divide top and bottom by 3

3/4 wings per dollar

Answer:

1188

multiply the numbers

Answer:

its how much money he will get

Step-by-step explanation:

1.1n represents the total cost of n packages of pencils.

2.2m represents the total cost of m pads of paper

The entire expression represents the total cost of Yolanda's school supplies.

Answer:

The answer is

Step-by-step explanation:

The length of the segment connecting two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(1,3) and B(6,5)

The length is

[tex] |AB| = \sqrt{ ({1 - 6})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 2})^{2} } \\ = \sqrt{25 + 4} \\ = \sqrt{29} [/tex]

We have the final answer as

[tex] \sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]

Hope this helps you

Answer:

2.5

Step-by-step explanation:

4x+1=11

4x=11-1

4x=10

x=10/4

=2.5

Answer:

distance = sqrt( 65 ) ~= 8.06

Step-by-step explanation:

To find the distance between two points, we can use the distance formula.

distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)

distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)

distance = sqrt( [-7]^2 + [4]^2)

distance = sqrt( 49 + 16 )

distance = sqrt( 65 ) ~= 8.06

Cheers.

Answer: d=8.06

Step-by-step explanation:

To this the distance between two points, you would need the distance formula.

Distance Formula: [tex]d=\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_{1} )^2}[/tex]

Since we have two given points, all we have to do is plug them in.

[tex]d=\sqrt{(2-(-5) )^2+(-1 -3 )^2}[/tex]              [parentheses]

[tex]d=\sqrt{(7)^2+(-4 )^2}[/tex]                                [exponent]

[tex]d=\sqrt{49+16}[/tex]                                        [add]

[tex]d=\sqrt{65}[/tex]                                                [square root]

[tex]d=8.06[/tex]

Now we know that the distance is d=8.06.

Answer:

9x10000 or 9.0 x 10^4

Step-by-step explanation:

6x104+3x104

Simplifies to:

9x10000

=9x10000

Mark Brainliest?

Answer:

9.0 x 10^4

Step-by-step explanation:

(6.0 x 10 ^4) + (3.0 x 10 ^4)

=> 6 x 10000 + 3 x 10000

=> 10000(6+3)

=> 9(10000)

=> 9 x 10^4

=> 9.0 x 10^4

Step-by-step explanation:

Shawn's living room is a square, so all four sides are the same length.  Area of a square is A = s², and we know the area is 196 ft².  If substitute this for A:

196 ft² = s²

Take square root of both sides:

s = √(196 ft²)

s = ±14 ft

Since measurements of lengths can't be negative, s must be +14 ft.  So Shawn's living room is 14 ft x 14 ft.

Answer:

14 ft x 14 ft.

Step-by-step explanation:

Step-by-step explanation:

[tex](2x + 23) + (9x - 5) = 11x + 18 \\ 11x + 18 = 95 \: \: \: \: 11x = 77 \\ x = 7 \\ abd = (2 \times 7) + 23 = 37 \\ dbc = (2 \times 9) - 5 = 13[/tex]

Answer:

x=7

m<ABD=37°

m<DBC=58°

Step-by-step explanation:

Add the two equations.  They need to equal 95.  Solve for x.

(2x+23)+(9x-5)=95

11x+18=95

11x=95-18

11x=77

x=7

Substitute 7 in for x to both equations to solve for the angle degrees.

m<ABD=2x+23 = 2(7)+23 = 14+23 = 37

m<DBC=9x-5 = 9(7)-5 = 63-5 = 58

CHECK: 37+58=95