Find the slope of the line that contains (-1, 9) and (9, 9).

Solution :

LHS = 1/(secA -1) + 1/(secA+1)

= [secA+1+secA-1]/[(secA-1)(secA+1)]

= (2secA)/[sec²A-1]

=(2secA)/tan²A

= (2/cosA)/(sin²A/cos²A)

= ( 2cosA)/sin²A

= 2(1/sinA)(cosA/sinA)

= 2cosecAcotA

= RHS

••••

Answer:

-6

Step-by-step explanation:

x + 12 = 6

 - 12      - 12

so

12-12=0

6-12=-6

put into equation

x + 0 = -6

x = -6

Answer:

Perimeter of the rectangle is 29x + 1 feet

Step-by-step explanation:

Length of the rectangle = 9.5x + 10 feet

Width of the rectangle = 5x - 9.5 feet

perimeter of rectangle = 2 ( length + width )

perimeter = 2 { (9.5x + 10) + (5x-9.5) }

perimeter = 2 ( 9.5x + 5x + 10 - 9.5 )

perimeter = 2 (14.5x + 0.5)

perimeter =29x + 1 feet

Answer:

range

Step-by-step explanation:

The difference between the largest and smallest value in a data set is the range

Answer:

Range

Step-by-step explanation:

I hope this will help you buddy

[tex]\\ \rm\Rrightarrow 5x-6=3x+8[/tex]

[tex]\\ \rm\Rrightarrow 5x-3x=8+6[/tex]

[tex]\\ \rm\Rrightarrow 2x=14[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{14}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=7[/tex]

[tex]\\ \sf\longmapsto g=b(a+D^2)[/tex]

[tex]\\ \sf\longmapsto g=ba+bD^2[/tex]

[tex]\\ \sf\longmapsto g-bD^2=ba[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{g-bD^2}{b}[/tex]

or

[tex]\\ \sf\longmapsto a=\dfrac{g}{b}-D^2[/tex]

Answer:

45

Step-by-step explanation:

c(x)=2x^2-4x-3

Let x= -4

c(-4)=2(-4)^2-4(-4)-3

      = 2(16) +16-3

       =32+16-3

         45

Answer:

45

Step-by-step explanation:

c(-4) = 2(-4)² - 4(-4) - 3

       = 2(16) + 16 - 3

       = 32 + 13

       = 45

Answer:

Step-by-step explanation:

We can find the answer by multiplying the number of donuts, 12, by the price he sells each donut for, $0.75, and subtracting that answer from the price he paid.

By making the equation 12 × 0.75 = $9 - $3.99 we can find out that he makes $5.01 in profit.

Answer:

Step-by-step explanation:

37) Take two point from the line.

(2 , 0)  & (0,4)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-0}{0-2}\\\\=\frac{4}{-2}\\\\=-2[/tex]

Slope = (-2)

38)  (7 , 0) & (3 , 2)

[tex]Slope = \frac{2-0}{3-7}\\\\=\frac{2}{-4}\\\\=\frac{-1}{2}[/tex]

39) The line is parallel to x-axis and so its slope is 0

Slope = 0

40) The line is parallel to y-axis and so its slope is undefined

Slope = undefined

Answer:

39) The line is parallel to x-axis and so its slope is 0

Slope = 0

40) The line is parallel to y-axis and so its slope is undefined

Slope = undefined

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

cot =cos/sin =a/b

cos=a/b*sin

(sin-cos)/(sin+cos) =(sin-sin*a/b)(sin+sin*a/b)

=(1-a/b)/(a+a/b)

=(b-a)/(a+b)

Answer:

90

Step-by-step explanation:

To solve this problem we need to set up an expression

35x+20

35 is the cost per hour, and 20 dollars is the visit fee.

x is the amount of hours the CT can work

So if we plug in the amount for the number of hours from the problem we get

35(2)+20

Which becomes 70+20 which is 90.

Hope thsi helps!

The computer technician works for 2 hours will take total charges equal to $90 .

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7

According to the question

The computer technician charges $20 per visit plus $35 per hour.

i.e

Let hours he work = x

therefore,

Total charge of computer technician in equation = 20 +  35x  

Now,

As the computer technician works for 2 hours the cost will be

By using equation

Total charge of computer technician in dollars  = 20 + 35x  

where x = 2

so,

= 20 +  35*2  

= $90  

Hence, the computer technician works for 2 hours will take total charges equal to $90 .  

To know more about equation here:

https://brainly.com/question/10413253

#SPJ2

Answer:

10x² - 14xy -6y

Step-by-step explanation:

5x(2x-y)-3y(2+3x)

10x²-5xy-6y-9xy

10x² - 14xy - 6y

Answer:

11341-5=11336

-122+42=-80, when you have different signs always keep in mind that you have to subtract and then get the sign of the big number.

for the third one you firstly have to work with the two negative signs,you have to multiply them, take note that when you multiply a negative by a negative you get a positive, a positive by a positive you get a positive and a negative by a positive you get a negative.

-0.35-(-0.25)

-0.35+0.25

=-0.1

I hope this helps

Perimeter: 19 cm ( I added 5.5+7.5+6)

The length of each side of the square: 8 cm

We know that the area is 64 cm2

A=a*a (length times length) We get 8 (because we know the times tables)

Volume: 100

Answer:

3.950121805833336 ≈ 4 m

Step-by-step explanation:

The area of a circle is calculated using this formula: A= πr². Since we know the area of the circle is 154 we have all the values we need to solve this problem.

154 = πr²

√154 = πr

12.40967... = πr

12.40967.../π = r

3.950121805833336 = r

3.950121805833336 ≈ 4 meters

Answer:

R= (-9, -10) S=(-1,-10) T=(-1, -8) U=(-9, -8)

Step-by-step explanation:

There isn't really an explanation it's just reading the points on the graph. Hope this helps!! :)

Answer:

SA = 112

Step-by-step explanation:

A = 2wl + 2lh + 2hw

length = 8 km

width = 2 km

height = 4 km

SA = 112 km

Answer:

64 cm³

Does the answer help you?

Answer:

(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)

Step-by-step explanation:

Factor all the expressions,

1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)

2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)

3rd expression=2x^2 + x - 21​=(x - 3) (2 x + 7)

HCF=Commo factor=(x-3)

LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)

Answer:

3 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 60 = x/3

3 tan 60 = x

3 sqrt(3) = x

Answer:

x = 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{3}{x}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

x = 3[tex]\sqrt{3}[/tex]

Answer:

140

Step-by-step explanation:

Lowest common denominator 4 , 7 ,5 , 2  and 1

= 4 * 7 * 5

= 140

Answer:

1

Step-by-step explanation:

Since usually common denominator is usually used with fractions (in this case), we can find out it's one because of how no numbers (except for 2 and 4) go into each other without a remainder except for one, so one would be the correct answer

Answer:

V(t) = 14,000(0.89)^t  

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

Answer:

16 slices

Step-by-step explanation:

4 apples times 4 slices (as there is 4 slices per apple)

So, 4×4=16

Hope this helps :)

Answer:

Does the answer help you?

Answer:

x=21

Step-by-step explanation:

We can use a ratio to solve

45          27

------ = ----------

35            x

Using cross products

45x = 35*27

45x = 945

45x/45 = 945/45

x  =21

Answer:

21

Step-by-step explanation:

The ratio of A to B is 45 / 35, which is equal to 9 / 7. To get from B to A, the ratio is 7 / 9.

(7 / 9) x 27

7 x 27 = 189, 189 / 9 = 21

Brainliest, please!

Step-by-step explanation:

As we know that,

In area of triangle , breadth =6inch,similarily ,height =8inch

now ,

Area of triangle = 1/2 ×b×h

= 1/2 × 8 ×6

=24inch^2

also,

In another figure,we can say

a=10 inch,b=16 inch and h=9 inch

similarly,

Area of trapizium = 1/2 h(a+b)

= 1/2 ×9(10+16)

=9/2 ×26

=9×13

=117inch^2

now ,

total area of figure =117 +24 =141inch^2

therefore,total area of figure is 141 inch^2