The side lengths of the figure below are given in centimeters. If the perimeter of this figure is 78 cm, what is the value of x?

Question:

Here are five sums. Use the distributive property to write each sum as a product with two factors.

[tex](a)\ 2a + 7a[/tex]      [tex](b)\ 5z - 10[/tex]    [tex](c)\ c - c^2[/tex]      [tex](d)\ r + r+ r+ r[/tex]    [tex](e)\ 2x - \frac{1}{2}[/tex]

Answer:

[tex](a)\ 2a + 7a = 9a[/tex]

[tex](b)\ 5z - 10 = 5(z - 2)[/tex]

[tex](c)\ c - c^2 = c(1 - c)[/tex]

[tex](d)\ r + r + r + r = 4r[/tex]

[tex](e)\ 2x - \frac{1}{2} = \frac{1}{2}(4x - 1)[/tex]

Step-by-step explanation:

Required

Apply distributive property

[tex](a)\ 2a + 7a[/tex]      

Apply distributive property [Factor out a]

[tex]2a + 7a = a(2 + 7)[/tex]

[tex]2a + 7a = a(9)[/tex]

Open bracket

[tex]2a + 7a = a*9[/tex]

[tex]2a + 7a = 9a[/tex]

[tex](b)\ 5z - 10[/tex]    

Express 10 as 5 * 2

[tex]5z - 10 = 5z - 5*2[/tex]

Apply distributive property [Factor out 5]

[tex]5z - 10 = 5(z - 2)[/tex]

[tex](c)\ c - c^2[/tex]      

Express c as c * c

[tex]c - c^2 = c - c * c[/tex]

Apply distributive property [Factor out c]

[tex]c - c^2 = c(1 - c)[/tex]

[tex](d)\ r + r+ r+ r[/tex]    

Express r as r * 1

[tex]r + r + r + r = r * 1 + r * 1 + r * 1 + r *1[/tex]

Apply distributive property [Factor out 1]

[tex]r + r + r + r = r(1+1+1+1)[/tex]

[tex]r + r + r + r = r * 4[/tex]

[tex]r + r + r + r = 4r[/tex]

[tex](e)\ 2x - \frac{1}{2}[/tex]

Express 2x as 4x/2

[tex]2x - \frac{1}{2} = \frac{4x}{2} - \frac{1}{2}[/tex]

Apply distributive property [Factor out 1/2]

[tex]2x - \frac{1}{2} = \frac{1}{2}(4x - 1)[/tex]

Answer:

64

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

( n^2)×3 can be written as 3(n^2)

Answer:

125

Step-by-step explanation:

Use your Equation: A= B*H (base x height)

7.8(16)= 124.8

Rounded to the nearest whole number: 125

Answer: 21 units

Step-by-step explanation:

Find the change between the first two sets:

12-9 = 3

14.4 - 10.8 = 3.6

3.6/3 = 1.2

Now find the change between the last two sets:

12 - -3 = 15

14.4 - 3.6 = 10.8

10.8/15 = 0.72

1.2 does not equal 0.72 so the answer is No

Answer:

B

Step-by-step explanation:

Answer:

The value of this expression is -7

Answer:

26.4° (nearest tenth)

Step-by-step explanation:

[tex]\boxed{sinθ = \frac{opp}{hyp} }[/tex]

[tex]sinx = \frac{4}{9} [/tex]

Taking the inverse of sine on both sides:

[tex]x = sin^{ - 1} ( \frac{4}{9} )[/tex]

x= 26.4° (nearest tenth)

Answer:

-4,2

Step-by-step explanation:

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hope it helps

Answer:

D.  y = -2/3 x + 4/3

Step-by-step explanation:

When you have a perpendicular line, everything except the y-intercept becomes opposite. So 3/2x + 6 will become -2/3x.

To find the slope, you have to plug the coordinates into the equation so far which is y = -2/3x + b

y = -2/3x + b

2 = -2/3(-1) + b

2 = 2/3 + b

4/3 = b

So the equation is y = -2/3 x + 4/3.

Answer:

Here is the answer

Step-by-step explanation:

The kitten weighs_____pounds every week                    -0.6 pounds

Weight of the kitten at current time                                    -7 pounds

Weeks it will take for the kitten to reach 10 pounds         -0.6+7=7.6

                                                       now round it off and you will get 7

                            ∴the kitten will take 7 more weeks for getting to 10 pounds            

The kitten will be at least 10 pounds after 5 weeks. Let's set up an equation to solve for the number of weeks needed for the kitten to reach at least 10 pounds.

Let "w" represent the number of weeks.

The weight of the kitten after "w" weeks can be calculated as:

Weight = Initial weight + (Weight gained per week * Number of weeks)

Weight = 7 + (0.6 * w)

We want to find the number of weeks when the weight is at least 10 pounds:Weight ≥ 10

Substituting the equation for weight:

7 + (0.6 * w) ≥ 10

Subtracting 7 from both sides:

0.6 * w ≥ 3

Dividing both sides by 0.6:

w ≥ 3 / 0.6

w ≥ 5

Therefore, the kitten will be at least 10 pounds after 5 weeks.

To know more about kitten:

https://brainly.com/question/29277335

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Answer: C

Step-by-step explanation:

[tex]A = \frac{1}{2} (b+c)h\\[/tex] -> This is the original equation

[tex]\frac{A}{h} = \frac{1}{2} (b+c)\\[/tex] -> Divide by h on both sides

[tex]2\frac{A}{h} = b+c\\[/tex] -> Multiply both sides by 2

[tex]2\frac{A}{h}-b = c\\[/tex] -> subtract b from both sides

Answer:

See Explanation

Step-by-step explanation:

[tex] \csc \theta \: \cos \theta \: \tan \theta = 1 \\ \\ LHS = \csc \theta \: \cos \theta \: \tan \theta \: \\ \\ = \frac{1}{ \sin \theta} \: \times \cancel{ \cos \theta }\: \times \frac{ \sin \theta}{ \cancel{ \cos \theta }} \\ \\ = \frac{1}{ \cancel{ \sin \theta}} \: \times \cancel{ \sin \theta} \\ \\ = 1 \\ \\ = RHS \\ \\ hence \: proved[/tex]

Answer:

a) Only the first one is an identity.

Step-by-step explanation:

1). 8 cos O tan O csc O = 8   simplifies to:

cos O tan O csc O = 1

cos O * (sin O / cos O) * (1 /sin O)

=  cos O sin O / cos O sin O

= 1

So it is identity.

2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O

= 13 sec^2 O - tan^2 O / cos^2 O

Now  sec^2 O = 1 + tan^2 O, so we have:

(13( 1 + tan^2 O) - tan^2 O) / cos^2 O

= (12 tan^2 O + 13) / cos^2 O

This is not always = 2 so its not an identity.

Step-by-step explanation:

Answer:

its incorrect.

Step-by-step explanation:

Answer:

80 is the answers for the question

Answer:

my answer is 80..........

Answer:

The shoes now cost $5.60

Answer:

1.40

Step-by-step explanation:

100% = 3.50

To get to 60%, divide 100 by 1.6, so this is the scale factor.

3.50/1.6=2.1 (this we need to take away from og amount)

3.50-2.10= 1.40

Answer:

13 bottles of apple juice and 2 bottles of orange juice.

i think :))

Step-by-step explanation:

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Answer:

area = 250 in²

Step-by-step explanation:

5 x 2.5 = 12.5 in

8 x 2.5 = 20 in

area = 20 x 12.5 = 250 in²

Answer:

90°

Step-by-step explanation:

follow the tangent rule.

Answer:

Step-by-step explanation:

See attached diagram (not to scale).

All given details reflected.

a) Find the measure of XZ using the law of cosines:

b) Now using the law of sines find the measure of angle X:

The bearing of Z from X is:

Answer:

the slope of the line is -2

Answer:

a = 2/5 or 0.4 (a is the slope value)

Step-by-step explanation:

y-int=-2

x-int=5

| x-int | / | y-int | = slope

|-2| / |5| = 2/5

Answer:

60 cm^3

Step-by-step explanation:

Answer: The equation would be x = 3.20 + 40m where m represents the minutes of service and x is the total cost.

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

first you have to multiply your exponent which is 2 x 2 which is 4 then do the problem which is 18 + 6 = 24 x 4 = 96

Answer:

Options (1), (3) and (5)

Step-by-step explanation:

Coordinates of D → (2, 2)

Coordinates of E → (1, 6)

Coordinates of F → (5, 7)

Coordinates of G → (6, 3)

Length of ED = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                      = [tex]\sqrt{(2-1)^2+(2-6)^2}[/tex]

                      = [tex]\sqrt{17}[/tex]

Length of FG = [tex]\sqrt{(5-6)^2+(7-3)^2}[/tex]

                      = [tex]\sqrt{17}[/tex]

Length of GD = [tex]\sqrt{6-2)^2+(3-2)^2}[/tex]

                       = [tex]\sqrt{17}[/tex]

Length of EF = [tex]\sqrt{(1-5)^2+(6-7)^2}[/tex]

                     = [tex]=\sqrt{17}[/tex]

Since, all sides of the given quadrilateral are equal in length, quadrilateral will be a square.

Therefore, diagonals EG and DF will be perpendicular, equal in measure, congruent and will bisect each other.

Options (1), (3) and (5) are the correct options.

A. 5(2x+1)

10x+5

B. 34(x-1)

34x-34

C. 9(x+3)

9x+27

Hope it helps