−4x + 3y =7
5x − 2y =35
What is the solution?

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35

[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.

[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]

Answer:

3,272

Step-by-step explanation:

8 x 400 = 3200

8 x 9= 72

3200 + 72 = 3,272

Answer:

See answer below.

Step-by-step explanation:

3x - 2 =  4                Given

   +2  =  +2

  3x     =  6               Addition Property of Equality

3x/3  = 6/3

     x = 2                  Division Property of Equality

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:

10080.000

Hope this helps you! Happy holidays

Answer: 15.54 Km

Step-by-step explanation:

740*21 = 15,540 = 15.54 Km

If you could be so kinda as to give me a brainliest, i am trying to get to virtuoso

(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.

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Answer:

The area of this figure is 24mm.

Step-by-step explanation:

4mm*3mm=12mm

1mm*6mm=6mm

3mm*4mm=12mm/2mm=6mm

6mm+6mm+12mm=24mm

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:

8

Step-by-step explanation:

88888888888888888888888888888888888

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:

C

Step-by-step explanation:

It does what the equation says. It multiplies x by 36

I hope this helps!

Answer:

1. C

2. C

Hope This Helps!!!

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 :)

[tex]\\ \sf\longmapsto f(x-1)=2x+3[/tex]

How?

[tex]\\ \sf\Rrightarrow f(-3)=f(-2-1)[/tex]

Let's find x then

[tex]\\ \sf\Rrightarrow x-1=-3[/tex]

[tex]\\ \sf\Rrightarrow x=-3+1[/tex]

[tex]\\ \sf\Rrightarrow x=-2[/tex]

[tex]\\ \sf\longmapsto f(-2-1)=2(-2)+3[/tex]

[tex]\\ \sf\longmapsto f(-3)=-4+3[/tex]

[tex]\\ \sf\longmapsto f(-3)=-1[/tex]

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

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:

9.984, can't tell.

Step-by-step explanation:

9.6 increased by 4% is

9.6 * 1.04 = 9.984 mph.

We don't know from this how fast Manuel rides.

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:

Step-by-step explanation:

Conclusion:

Therefore, 4/5 of a dollar is 80 cents.

Hoped this helped.

[tex]GeniusUser[/tex]

The value of cents in 4/5 dollars would be 80 cents.

Used the concept of measurement unit that states,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

Since we know that;

1 dollar = 100 cents

Hence we get;

The number of cents in 4/5;

4/5 x 100

4 x 20

80 cents.

Therefore, 4/5 of a dollar is 80 cents.

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Answer:

(-8,7)

(4,3)

(16,-1)

Step-by-step explanation:

I feel as though there is a formula for this but I cannot remember at the moment so I am gonna do it the long way!

2(-8) + 6(7) =26

-16 + 42 + 26

26 = 26 Yes

____________

2(-1) + 6(4) =26

-2 + 24 =26

22 = 26 No

____________

2(2) + 6(5) =26

4+30 = 26

34 =26 No

____________

2(4) + 6(3) =26

8+18

26 = 26 Yes

____________

2(16) +6(-1) =26

32 + (-6)

26=26 Yes

____________

Hope this helps!!

Please correct me on any mistakes I enjoy learning from them:)

Answer:

54 units^2

Step-by-step explanation:

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:

x=(-79/12) or -6 7/12

Step-by-step explanation:

12x+91=12

     -91   -91

12x=-79

(12x/12)=(-79/12)

x=(-79/12) or -6 7/12

The aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]

From the complete question, the expression of the area (A) in terms of variables a, b and h is:

[tex]A = ah - bh[/tex]

Factor out h from the expression on the right-hand side

[tex]A = h(a - b)[/tex]

Divide both sides of the equation by (a - b)

[tex]\frac{A}{(a - b)} = h[/tex]

Remove the bracket

[tex]\frac{A}{a - b} = h[/tex]

Rewrite the above equation as follows:

[tex]h =\frac{A}{a - b}[/tex]

Hence, the aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]

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Answer:

x=20. y=15

Step-by-step explanation:

in similar triangles the sides are all in proportion. this means:

[tex] \frac{25}{5} = \frac{x}{4} = \frac{y}{3} [/tex]

[tex] \frac{25}{5} = 5[/tex]

so:

[tex] \frac{x}{4} = 5[/tex]

x=5×4

x=20

and...

[tex] \frac{y}{3} = 5[/tex]

y=3×5

y=15

Answer:

SSS

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

SSS means Side Side Side and there are no angles here