Simplify the expression by combining like terms:

8x + 3y + 2x^2 + 6y^2 + 7 =

a
10x^2 + 9y^2 + 7
b
8x + 3y + 2x^2 + 6y^2 + 7
c
11xy + 8xy^2 + 7

Based on the definition of complementary angles:

Measure of angle 7 = 29°

Measure of angle 5 = 61°

Complementary angles have a sum that is equal to 90 degrees. If two angles are complementary, then their sum = 90 degrees.

Angle 7 and angle 8 are complementary [given]

Angle 5 and angle 6 will also be complementary

Angle 5 ≅ angle 8 [given]

Angle 7 will also be congruent to angle 6

Measure of angle 6 = 29° [given]

Measure of angle 7 = 29°

Measure of angle 5 + measure of angle 6 = 90 degrees

Substitute

Measure of angle 5 + 29° = 90°

Measure of angle 5 = 90° - 29°

Measure of angle 5 = 61°

Therefore, based on the definition of complementary angles:

Measure of angle 7 = 29°

Measure of angle 5 = 61°

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Answer:

hey

Step-by-step explanation:

Formal geometric reasoning gives better information than informal geometric reasoning.

Informal Geometry is defined as the aid for understanding geometry via questioning, practices, and conjecture. Subjects include stature, balance, isometries, and proportions, with scaling as a major theme.

Formal geometry is defined as geometric explanations that are ways to formally make an opinion about a particular formation or figures in the geometrical entity, a formal geometric explanation is a detailed way to deliver that specific figures or domains which are congruent.

An an conjecture is made often using observation and detail given on the basis of logical observation is termed informal geometric reasoning,
While in formal geometric reading calculation-based approximation conjectures gives better detail of the informal geometric reasoning.

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Answer:

Hello,

Step-by-step explanation:

[tex]f(n)=4n-5\\\\g(n)=an+b\\\\(gof)(n)=5n+1\\\\f(g(n))=f(an+b)=4*a*n+4b-5=5n+1\\\\4an=5n ==> a=5/4\\4b-5=1 ==> 4b=6 ==> b=3/2\\\\\\\boxed{g(n)=\dfrac{5n}{4} +\dfrac{3}{2} }\\\\[/tex]

Answer:

after 3 seconds, the object hits the ground.

Hope this helps :)

Answer:

no solution

Step-by-step explanation:

14a – (2a + 9) = (12a - 18)

Distribute the minus sign

14a – 2a - 9 = (12a - 18)

12a -9 = 12a -18

Subtract 12a from each side

12a -9-12a = 12a-18-12a

-9 = -18

This is not a true statement so there is no solution

Answer:

None of the first 4 do. so I guess the answers E.

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Let's say the unknown number is x

x/5 = 15

x = 15*5

x = 75

Answer:

1)

AB = 23-18.9

AB= 4.1

~~~~~~~~~~~~~~~~~

2) 5x+15 = 50

5x=35

x=7

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The slope of a line is

Change in y over change in x

This is also known as rise over run

Answer:

x= -6 —> y= 4

x= -11 —> y= 5

Step-by-step explanation:

x= -6 —> y= 4

[tex]f( - 6) = \sqrt{ - ( - 6) - 2} + 2 \\ = \sqrt{6 - 2} + 2 \\ = \sqrt{4} + 2 \\ = 2 + 2 \\ = 4[/tex]

x= -11 —> y= 5

[tex]f( - 11) = \sqrt{ - ( - 11) - 2} + 2 \\ = \sqrt{11 - 2} + 2 \\ = \sqrt{9} + 2 \\ = 3 + 2 \\ = 5[/tex]

I hope I helped you^_^

The value of the function f(x) for the corresponding x = -6 and x =-11 is equal to 4 and 5 respectively.

The function f(x) = √( -x -2) + 2

The value of x and f(x) are ,

x    :   -2   -3    -6    -11

f(x) :   2     3      ?     ?

Now to find the missing value of f(x) substitute the value of x in f(x) we have,

When x = -6

f(x) = √( -x -2) + 2

⇒ f(x) = √( -( -6) -2) + 2

⇒ f(x) = √(6) -2) + 2

⇒ f(x) = √(4) + 2

⇒ f(x) = 2 + 2

⇒ f(x) = 4

And when x = -11

f(x) = √( -x -2) + 2

⇒ f(x) = √( -( -11) -2) + 2

⇒ f(x) = √(11) -2) + 2

⇒ f(x) = √(9) + 2

⇒ f(x) = 3 + 2

⇒ f(x) = 5

Therefore, the missing values of the function are 4 and 5.

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Answer:

I can't see the question

Step-by-step explanation:

Take a proper picture

Step-by-step explanation:

let :

the job as lifeguard = A

the job as cashier = B

making 2 equations as follows :

(1) A+B = 14 ==> A = 14-B

(2) 10A + 8B = 124

substitute A (equation (1)) into equation (2) :

10(14-B) + 8B = 124

140 -10B +8B = 124

140- 2B = 124

140-124 = 2B

16 = 2 B

B = 8

A = 14-8 = 6

so, as a lifeguard = 6 working hours

and as a cashier = 8 working hours

Answer:

Step-by-step explanation:

Let the lifeguard hours = x

Let the cashier hours= y

x + y = 14

10*x + 8*y = 124           Multiply the top equation by 8 Put it under here.

8x + 8y =     112           Subtract

2x = 12                          Divide by 2

x = 6

He worked 6 hours as a lifeguard.

x + y = 14

6 + y = 14                      Subtract 6 from each side

y = 14 - 6

y = 8                            

He worked 8 hours as a cashier.

check

6*10 = 60

8 * 8 = 64

total    124

Answer:

SEE THE IMAGE FOR SOLUTION.

HOPE IT HELPS

Answer:

[tex]p = 1[/tex]

Step-by-step explanation:

[tex]5p - 8(6p - 5) = p - 4[/tex]

[tex] - 43p - 40 = p - 4[/tex]

[tex] - 43p - p = - 40 - 4[/tex]

[tex] - 44p = - 44[/tex]

[tex]p = 1[/tex]

Answer:

[tex] p =\frac{22}{27} [/tex]

Step-by-step explanation:

5p - 8(6p - 5) = p - 4

-5p - 48p + 40 = p - 4

-53p + 40 = p - 4

-53p - p = -4 - 40

-54p = -44

p = 44 ÷ 54

p = 44/54

simplify with factor 2

p = 22/27

Answer:

your answer is 4x+4

Step-by-step explanation:

x^2-1) x^2+4x+3 (1

x^2 -1

(-) (+)

4x+4

quotiend is 1

remainder is 4x+4

Answer:

your answer is 7x/-1

Step-by-step explanation:

x^2 cancels out x^2

4+3=7

therefore your answer is 7x/-1

=========================================================

Explanation:

x = exterior angle

x+108 = interior angle, as its 108 degrees larger than the exterior

The two angle pairs add up to 180, since they form a straight line

exterior+interior = 180

x+(x+108) = 180

2x+108 = 180

2x = 180-108

2x = 72

x = 72/2

x = 36

The exterior angle is 36 degrees which means we have n = 360/x = 360/36 = 10 sides. This polygon is a decagon.

Answer:

Step-by-step explanation:

Let the number of sides is n.

We know the sum of interior angles is:

So each interior angle is:

We also know the sum of exterior angles is 360, so each exterior angle is:

We are given the difference of the interior and exterior angles:

Solve the equation for n:

The polygon has 10 sides

Answer:

AC = 22

Step-by-step explanation:

AB + BC = AC , substitute values

4x - 6 + 4 = 2x + 10 , that is

4x - 2 = 2x + 10 ( subtract 2x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22

Answer:

B

Step-by-step explanation:

Answer:

A=13

hope this helped!!!

Answer:

-13

Step-by-step explanation:

-50=6a+28

collect like terms

-50-28=6a

-78=6a

divide both sides by the coefficient of a

-78/6=6a/6

a=-13

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{4}[/tex] y = 24 ( multiply through by 4 to clear the fractions )

- 2x - 3y = 96 ( add 2x to both sides )

- 3y = 2x + 96 ( divide terms by - 3 )

y = - [tex]\frac{2}{3}[/tex] - 32 ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Answer:

2 cups of yogurt

Step-by-step explanation:

1=1/2

4=4×(1/2)

=2

Answer:

Proven.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If 101 is given in base b, then in base 10 you have

[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]

For instance, if b = 2, then

101₂ = 2² + 1 = 5₁₀

If b = 3, then

101₃ = 3² + 1 = 9₁₀

If b = 4, then

101₄ = 4² + 1 = 17₁₀

The answer depends entirely on the base of the given number.

Answer:

T (6, 5 )

Step-by-step explanation:

Using the section formula

If (x₁, y₁ ) and (x₂, y₂ ) are divided in the ratio m : n , then

( [tex]\frac{nx_{1}+mx_{2} }{m+n}[/tex] , [tex]\frac{ny_{1}+my_{2} }{m+n}[/tex] ) are the coordinates of the internal point

Here (x₁, y₁ ) = A (- 4, 10 ) , (x₂, y₂ ) = B (10, 3) , m : n = 5 : 2

T = ([tex]\frac{2(-4)+5(10)}{5+2}[/tex] , [tex]\frac{2(10)+5(3)}{5+2}[/tex] )

   = [tex]\frac{-8+50}{7}[/tex] , [tex]\frac{20+15}{7}[/tex] )

  = [tex]\frac{42}{7}[/tex] , [tex]\frac{35}{7}[/tex] )

  = (6, 5 )

Answer:

x =36

Step-by-step explanation:

The three angles form a straight line which means they add to 180

2x+2x+x = 180

Combine like terms

5x = 180

5x/5 = 180/5

x =36

Answer:

X=36

Step-by-step explanation:

A straight line like the one shown in the image has 180° by one side.

Following that, we should assume that:

2x+2x+x=180°

5x=180°

x=36°

I hope I have helped you.

Answer:

F = (9/5 ×C) + 32

Step-by-step explanation:

Apply Change of subject

Divide both sides by 5/9

9/5 × C = F - 32

》F = (9/5 ×C) + 32

Answer:

the slope is 5

and the intercept is 0

Step-by-step explanation:

Answer:

0.31

Step-by-step explanation:

(2/7)-(3/8)+(2/5)

Answer:

LCM: 7,8,5 = 280

80/280 - 105/280 + 112/280

87/280

Step-by-step explanation: