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2 years ago

Factor 15x + 10y =.... Please show how you got your answer.

Mathematics

2 answers:

Alekssandra [29.7K]2 years ago

4 0

Answer:

Step-by-step explanation:

What can go into 15 and 10 both equally?

5 goes into 15 3 times and 5 goes into 10 twice

5(3x+2y)

HOPE THIS HELPED :3

Andrei [34K]2 years ago

4 0

Answer:

Step-by-step explanation:

15x+10y =

we ca rewrite 15 as 3*5 and 10 as 2*5

3*5*x + 2*5*y =

both terms have a 5 so we factor it out

5 (3x + 2y)

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Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side

lorasvet [3.4K]

Answer:

Step-by-step explanation:

cot x sec⁴ x = cot x+2 tan x +tan³x

L.H.S = cot x sec⁴x

=cot x (sec²x)²

=cot x (1+tan²x)² [ ∵ sec²x=1+tan²x]

= cot x(1+ 2 tan²x +tan⁴x)

=cot x+ 2 cot x tan²x+cot x tan⁴x

=cot x +2 tan x + tan³x [ ∵cot x tan x $=\frac{ \textrm{tan x }}{\textrm{tan x}}$ =1]

=R.H.S

(sin x)(tan x cos x - cot x cos x)=1-2 cos²x

L.H.S =(sin x)(tan x cos x - cot x cos x)

= sin x tan x cos x - sin x cot x cos x

$=\textrm{sin x cos x }\times\frac{\textrm{sin x}}{\textrm{cos x} } - \textrm{sinx}\times\frac{\textrm{cos x}}{\textrm{sin x}}\times \textrm{cos x}$

= sin²x -cos²x

=1-cos²x-cos²x

=1-2 cos²x

=R.H.S

1+ sec²x sin²x =sec²x

L.H.S =1+ sec²x sin²x

= $1+\frac{{sin^2x}}{cos^2x}$ [ $\textrm{sec x}=\frac{1}{\textrm{cos x}}$ ]

=1+tan²x $[\frac{\textrm{sin x}}{\textrm{cos x}} = \textrm{tan x}]$

=sec²x

=R.H.S

$\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}} = \textrm{2 csc x}$

L.H.S= $\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}}$

$=\frac{\textrm{sinx(1+cos x)+{\textrm{sinx(1-cos x)}}}}{\textrm{(1-cos x)\textrm{(1+cos x})}}$

$=\frac{\textrm{sinx+sin xcos x+{\textrm{sinx-sin xcos x}}}}{{(1-cos ^2x)}}$

$=\frac{\textrm{2sin x}}{sin^2 x}$

= 2 csc x

= R.H.S

-tan²x + sec²x=1

L.H.S=-tan²x + sec²x

= sec²x-tan²x

= $\frac{1}{cos^2x} -\frac{sin^2x}{cos^2x}$

$=\frac{1- sin^2x}{cos^2x}$

$=\frac{cos^2x}{cos^2x}$

8 0

3 years ago

Graphing inequalities

tangare [24]

Something along the lines of this...

6 0

3 years ago

You are at a restaurant and your bill comes to $31.18. The sales tax is 6% and you give the waitress a 20 percent tip on the tot

Vanyuwa [196]

Answer:

$ 0.34 or 34 cents

Step-by-step explanation:

Bill amount = $31.18

sales tax = 6% of $31.18

= 0.06 ($31.18)

= $1.8708

Bill with tax = $31.18+$1.8708

= $33.0508

value of tip = 20% of 33.0508

= 6.61016

Total payment = 33.0508+ 6.61016

= $39.66096

or $39.66

We get change of $40 - $39.66

= $ 0.34

We shall get back in cents that will be 34 cents

7 0

3 years ago

An equation is shown below:

Alex787 [66]

Multiply 4 with (2x-5)
8x-20+15=11
add 20 both sides
8x+15=31
subtract 15 both sides
8x=16
divide both sides by the x (8)
x=2

4 0

3 years ago

Show FSS<br> Find the area of the remaining pizza if the radius 10 centimeters.

Nitella [24]

Answer:

100π or about 314.16

Step-by-step explanation:

The formula for the area of a circle is (pi)*(radius^2)=area.

The radius is 10, so plugging that in you get pi*10^2=area.

Simplifying, you get Area=100π, or about 314.16

7 0

3 years ago