Surface area of composite figures

-4

Step-by-step explanation:

(n + 5)2 for n = -7

= (-7 + 5)2

= (-2)2

= -4

Another way :

(n + 5)2

= 2n + 10

= 2(-7) + 10

= -14 + 10

= -4

The proof for ABCD is a parallelogram is shown below.

Given:

AD is congruent to BC,

and AD is parallel to BC.

So, if the quadrilateral have opposite sides congruent and parallel.

Such Quadrilateral are parallelogram.

Hence, the given quadrilateral is a parallelogram.

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Use [tex]\sec\theta = \dfrac{1}{\cos{\theta}}[/tex]  to get

    [tex]\sec\theta -\cos{\theta}= \dfrac{1}{\cos{\theta}}-\cos(\theta})[/tex]

Then find a common denominator:

    [tex]\dfrac{1}{\cos{\theta}}-\cos(\theta}) = \dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta}[/tex]

But now make that one fraction:

    [tex]\dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta} = \dfrac{1 - \cos^2\theta}{\cos{\theta}}[/tex]

But that's just sin^2 on the top

    [tex]\dfrac{1 - \cos^2\theta}{\cos{\theta}} = \dfrac{sin^2\theta}{\cos{\theta}} = \dfrac{sin\theta\cdot sin\theta}{\cos{\theta}}[/tex]

Split that fraction up:

    [tex]=\dfrac{ sin\theta}{\cos{\theta}}\cdot sin\theta[/tex]

And tan = sin/cos

    [tex]=\tan\theta\cdot sin\theta[/tex]

Answer:

donald can buy 2

Step-by-step explanation:

price of a shirt = $45÷3

=15

=30÷2=15

Answer:2 shirts

Step-by-step explanation: if you divide 45$ by three you find out each shirt cost 15$ if you add fifteen twice you get 30$ theirfor you used all your money and can not buy another shirt.

Answer:

[tex] - 23x(x + 3) \\ { - 23x}^{2} - 69x \\ \\ \\ \\ \\ \\ hope \: it \: helps \\ stay \: safe \: healthy \: nd \:and \: happy[/tex]

Answer:

[tex]-23x^{2} -69x[/tex]

Step-by-step explanation:

Using the distributive property:

[tex]-23x(x+3)[/tex]

You will multiply both the x and the 3 inside the parantheses by the -23x outside.

[tex]-23x[/tex] · [tex]x = -23x^{2}[/tex]

Then:

[tex]-23x[/tex] · [tex]3 = -69x[/tex]

If you combine both you will recieve:

[tex]-23x^{2} -69x[/tex]

Answer:

[tex](6r - 3) \degree = 45\degree \\ 6r = 45 + 3 \\ 6r = 48 \\ r = \frac{48}{6} \\ \therefore \: r = 8 \\test \: 6(8) - 3 = 48 - 3 = 45\degree[/tex]

Answer:

All real numbers

Step-by-step explanation:

Given: 10x-2-6x=2(2x-1)

Distribute: 10x-2-6x=4x-2

Simplify like terms: 4x-2=4x-2

Subtract 4x to both sides: -2=-2

Add 2 to both sides: 0=0

All real numbers

The coordinate of point B is at (29, -15): Option C is correct.

The formula for calculating the midpoint of two points is expressed as:

[tex]M(x, y) = {\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2}}[/tex]

Given the coordinate points

A is (5, 7).

B is (x, y).

M is (17, -4)

Substituting into the formula to get x and y

17 = 5+x/2

5+x = 34

x = 34 - 5

x = 29

Get the value of y. Similarly;

-4 = 7+y/2

-8 = 7+y

y = -8-7

y = -15

Hence the coordinate of point B is at (29, -15)

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Answer:

y=x+3

Step-by-step explanation:

Start with the slope equation [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Since the first point is actually further along the x-axis that x-value becomes [tex]x_{2}[/tex] and its corresponding y-value is [tex]y_{2}[/tex]

[tex]\frac{9-8}{6-5}[/tex]=[tex]\frac{1}{1}[/tex]

The slope for the equation is just one so now find the y-intercept by rearranging the slope-intercept equation.

y=mx+b

y-mx=b

Now Substitute either point in to find b

9-1(6)=b

9-6=b

b=3

Your y-intercept is 3 so now we can write the slope-intercept equation for the two points:

y=x+3

Answer:

£7

Step-by-step explanation:

15×203_3[2

w820362

45

Answer:

hey there,

hey there,in this question

-7 is multiply by 5 then multiply by-2

i want to inform that when minus is mutiply by minus it become plus

Step-by-step explanation:

Answer: 2 2/3 gallons left

explanation:

6 1/2 = 6 3/6

6 3/6 - 3 5/6 = 2 2/3

proof: 2 2/3 + 3 5/6 = 6 3/6

Answer:

58 tens and 52 hundreds

Step-by-step explanation:

110 bills total equaling 5780.

58 times 10 = 580 meaning the remaining 52 bills are hundreds

52 times 100 = 5200 add the 580 to get 5780

Answer:

Answer is 3x

Step-by-step explanation:

Answer:

2.31964e-7

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The first one (0,7) tells you that when x isn't there, the amount of money is 7.

That means that the y intercept is 7.

When x = 1 the total is 15

Money saved = ax + 7

15 = a*1 + 7                         Subtract 7

15-7 = a + 7-7

a = 8

The equation is f(x)  = 8x + 7

385 miles

Step-by-step explanation:

440/16 = x/14

16x = 440 × 14

16x = 6,160

x = 6,160/16

x = 385 miles

Answer: Ramses gets no change, in fact, he still owes money.

Step-by-step explanation: If one bag of apples costs $3.56 two bags will cost  $7.12. If a bag of apples costs $0.62 less than a bag of peaches a bag of peaches costs $4.18 ($3.56 + $0.62). $3.56 + $3.56 + $4.18 = $11.30

$11.30 > $10.00

Ramses still owes $1.30

Answer:

-3

Step-by-step explanation:

Answer:

2 3/4

Step-by-step explanation:

Answer:

65  

Step-by-step explanation:

45, 50, 52, 58, 62, 68, 72, 78, 81, 95  

62 + 68 = 130/2 = 65  

The median is 65

The median of the weight of the male dogs is M = 65 lb

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

Let the weights of the male dogs be represented as set A

where the value of A is

Set A = { 45, 50, 52, 58, 62, 68, 72, 78, 81, 95 }

On simplifying , we get

The number of terms = 10

So , the median M = ( 62 + 68 ) / 2

The median M = 130/2 = 65 lb

where the mean is C = 66.1 lb

Hence , the median is M = 65 lb

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Answer:

6

Step-by-step explanation:

15 - 3 = 12, divide that by 2 and your answer is 6.

Answer:6

Step-by-step explanation:

yea

Answer:

3

Step-by-step explanation:

Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.

Answer:

1. d  2. a  3. d  4. a  5. a

Step-by-step explanation:

For 1, d is negative because, if there an even number of negatives, the answer will be positive. a. would have been correct, but you multiply that one by 0. 0 is not negative, so the answer has to be d.

2. is -21. You can multiply 3 times seven then make it negative, or simply add -7 together 3 times.

3. is d because the two negatives cancel each other out. Even numbers of negatives cancel each other out. therefore, 17 times 6 is 102.

4. -120 is the answer because there are 3 negatives. That is an odd number, so we know our answer is negative. -5 times -3 is 15, and 15 times -8 is -120.

5. is a because -1 times 4 is -4, then -4 times -9 is 36. 36 times -3 is then -108.

Queremos obtener la pendiente de dos lineas dadas, y en base a eso, determinar si son paralelas o no.

Las pendientes son para ambas lineas igual a -3/4, como ambas lineas tienen la misma pendiente y diferente ordenada al origen, podemos concluir que son paralelas.

-----------------------------

Una línea en general se escribe como:

y = a*x + b

Donde a es la pendiente y b es la ordenada al origen.

En este problema se nos dan las líneas:

3*x + 4*y - 2 = 0

3*x + 4*y + 6 = 0

Comencemos por reescribir esas líneas en la forma más general, para hacer esto, debemos aislar y en ambas ecuaciones:

y = (-3/4)*x + 2/4

y = (-3/4) - (6/4)

Aqui podemos ver que ambas pendientes son iguales a -3/4

Al final de la respuesta puedes ver el gráfico de ambas líneas.

Como ambas líneas tienen la misma pendiente, pero distintas ordenadas al origen, podemos concluir que son paralelas.

Esto mismo se puede observar en el gráfico de abajo.

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Answer:

0.85.

Step-by-step explanation:

20)17.00 (0.85

-    160

       100

      -100

          ......

Answer: 2 feet

Step-by-step explanation:

:answer (x+5−4)(x+5+4)(x−4)

how i got it:

(x+5−4)(x−(−

2

2(5+4)

​

))(x−4)

Answer:

Step-by-step explanation: 90 divided in to 30 is not 53 is is equal to 3