Evaluate –10 • x • 5 when x = –1.


–50


–15


6


50

[tex]\tt (1 - sin ^2x)\times(1+tan^2x) = 1[/tex]

L.H.S

[tex]\tt cos^2x \times sec^2x[/tex]

[tex]\tt cos^2x \times \frac{1}{cos^2x}[/tex]

[tex]\tt \cancel{ cos^2x} \times\cancel{ \frac{1}{cos^2x}}[/tex]

[tex]\tt 1[/tex]

R.H.S

Hence proved

Step-by-step explanation:

[tex]{ \tt{ \blue{(1 - { \sin}^{2}x )(1 + { \tan }^{2}x) = 1 }}}[/tex]

• Remember → 1 + tan²x = sec²x

[tex] = { \tt{ \blue{(1 - { \sin }^{2}x)( { \sec}^{2}x) }}}[/tex]

• But sec²x → 1/cos²x

[tex] = { \tt{ \blue{(1 - { \sin}^{2} x)( \frac{1}{ \cos {}^{2} x} )}} }\\ \\ = { \blue {\tt{ \frac{1 - { \sin }^{2}x }{ { \cos }^{2}x } }}}[/tex]

• Remember from the first identity of trignometry;

[ cos²x + sin²x = 1 ].

• Therefore: [ cos²x = 1 - sin²x ]

[tex] = { \blue{\rm{ \frac{1 - { \sin}^{2}x }{1 - { \sin }^{2}x } }}} \\ \\ { \rm{ \blue{= 1 \: }}}[/tex]

Hence proved.

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides , then

2x - 6 + x + 4 + 10 > 50

3x + 8 > 50 ( subtract 8 from both sides )

3x > 42 ( divide both sides by 3 )

x > 14

(4)

The area is calculated by multiplying length and breadth , then

3(4x - 2) < 138 ( divide both sides by 3 )

4x - 2 < 46 ( add 2 to both sides )

4x < 48 ( divide both sides by 4 )

x < 12

Answer:

54 units^2

Step-by-step explanation:

Presumably you mean 555 as a number in base 10.

We have

555 = 5 • (100 + 10 + 1)

… = 5 • (4 • 25 + 2 • 5 + 1)

… = 5 • (4 • 5² + 2 • 5¹ + 1 • 5⁰)

… = 4 • 5³ + 2 • 5² + 1 • 5¹

… = 4210₅

Answer:

B. (-4-2)

Step-by-step explanation:

since the numerator is one you can divide -8 by the denominator of each fraction. -8/2 = -4, -8/4 = -2

(-4-2)

You have to make sure you distribute the -8 to all parts inside the parenthesis for it to be right.

i hope this helps :)

Answer:

s=6w

Step-by-step explanation:

the graph goes up by 6 on the y axis for everyone one that the x moves

Answer:

d

Step-by-step explanation:

Answer: 5

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5

Answer:

f(n)=4*2^(n-1)

f(n)=a*b^n -> 2 is the multiplier for the outputs, so b=2. 4 is the output when n=1 (all answers are to the power of n-1), so a=4

Answer:

Chris bought approximately 96.52 liters of gasoline.

Step-by-step explanation:

Since the problem states that every gallon of gasoline has approximately 3.8 liters, simply multiply 3.8 by the number of gallons given (25.4).

25.4 * 3.8 = 96.52

Answer:

i.900

j.6

k.8

l.0

Step-by-step explanation:

hope this helps you ;)

This might not be right

 one is y= 2x-3 and number two is y=-x-1

1) first you convert 4x-2y=3 into slope intercept form

y= 2x+ 3/2

then you change 3/2 to b

y=2x + b

then you plug in the point 2,1

(1)=2(2) + b

1=4+b

-3=b

after that you change the b in y=2x+b to -3

y=2x-3

2) after you convert it into slope intercept form (y=1x+b)

you have to change the x to a negative x because the line is perpendicular

y= -1x + b

then you plug in the point -3,2

2= -1(-3) + b

2= 3 + b

-1 = b

Answer:

Area of a parallelogram = Base times Height

Step-by-step explanation:

For this parallelogram, the value for Height is 5cm. So Area = Base x 5. If you are given the value for base then just multiply that by 5 and you get the area. Hope this helps :)

Answer:

Each person would get 1/5 of 3 segments.

Each person would get 3/5 of a segment.  

Step-by-step explanation:

(3) (1/5) = 3/5 segments

Answer:

C

Step-by-step explanation:

Answer:

10 for 9$

Step-by-step explanation:

because say the each ball cpsts a dollar, and the total for 3 would be 3$ for the cost of 10 would be 9 so its less but more mo ey spent

Answer:

answer should be c good luck

Answer:

-14

Step-by-step explanation:

Remember that a negative times a positive is negative:

(-2)(7) = -(2)(7) = -14

Answer:

3,272

Step-by-step explanation:

8 x 400 = 3200

8 x 9= 72

3200 + 72 = 3,272

(3 miles) + (440 yards) + (6 miles) + (880 yards)

= 9.75 miles

After adding all the given values in, the same unit will be equal to 9.75 miles.

Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion.

Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.

As per the given information in the question,

3 miles + 440 yards + 6 miles + 880 yards

Now, use unit conversion,

1 mile = 1760 yards

440 yards = 0.25 miles and,

880 yards = 0.50 miles

So, total distance is,

3 miles + 0.25 miles + 6 miles + 0.50 miles = 9.75 miles.

To know more about Unit conversion:

https://brainly.com/question/19420601

#SPJ2

Answer: 21

Step-by-step explanation:

A. - 7x² + 7x + 1 + 8 = 0

- 7x² + 7x + 9 = 0

x = - b ± √b² - 4ac / 2a

= - 7 ± √7² - 4 (-7) (9) / 2 (-7)

= - 7 ± √49 + 252 / - 14

= - 7 ± √ 301 / - 14

x = - 7 + 17.349 / - 14 x = - 7 - 17.349 / - 14

= 10.349 / - 14 = - 24.349 / - 14

= - 0.739 = - 1.739

B. 8x² - 5x² + 6x + 1 = 0

3x² + 6x + 1 = 0

x = - b ± √b² - 4ac / 2a

= - (-5) ± √-5² - 4 (3) (1) / 2 (3)

= 5 ± √25 - 12 / 6

= 5 ± √ 13 / 6

x = 5 + 3.606 /6 x = - 5 - 3.606 / 6

= 8.606/6 = - 8.606/6

= 1.434. = - 1.434

please re-check the answers hope this helps

Answer:yes, additional training is necessary because if the employee does not have training they will mess up and ur stores reputation will be ruined

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

SSS means Side Side Side and there are no angles here

Answer:

c = 50 degrees and d = 30 degrees

Answer:

C = 80 degrees

D = 30 degrees

Step-by-step explanation:

To find the angle of C you have to add the other angles of that triangle. The total angle of a triangle is 180 degrees.

50 + 30 = 80

Subtracted 80 from 180 to get the other missing angle next to angle c. That is 100. A straight line is 180 degrees so you get 80 degrees for angle C.

To find the angle of D you add angle C, which is 80, to the 100 degree angle and get 180. The total degrees for a four-sided shape is 360 degrees.   Then you try to figure out the other missing angle next to the 30-degree angle. A straight line is 180 degrees so subtract 30 from 180 to get the value of the missing angle.

180 - 30 = 150

Add the 180 degrees from earlier to 150 and you get 330. Subtract 330 from 360 and you get 30 degrees. Therefore the angle for d is 30 degrees.

Answer:

A, 12c + 7b + 24

B, $69

Step-by-step explanation:

Please, read my picture Thanks! Also tell me if its right in the comment

4 * 12 + 3 * 7 + 24 = m

m represents how much money Marta spent

48 + 21 + 24 = m

69 + 24 = m

$93 = m

[tex] {3}^{2} \times {3}^{4} \times {3}^{6} [/tex]

[tex] = {3}^{2 + 4 + 6} [/tex]

[tex] = {3}^{2 + 10} [/tex]

[tex] = {3}^{12} [/tex]