Algebraic exspression of
15x +8


Answer 1




Step-by-step explanation:

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True or false Every number divisible by 9 is also by 3?




Step-by-step explanation:

9 is dividsible by 3 so every number divisable by nine is also divisable by three.



Step-by-step explanation:

Because 3 is a factor of 9.

If r = 5 units and x = 11 units, then what is the total surface area of the cylinder shown above?


Answer: 502.65

Step-by-step explanation: A= 2πrh + 2πr^ this is the formula for solving the surface area so now you must substitute


6.28 · 55 + 2 π · 25

add and you will get 502.65 hope this helps mark me brainliest if it did

Consider function h.What is the approximate range of function h?

(blank) (blank) y (blank) (blank)

Options: 3, 6, -2, -∞, 12, ∞
<, ≤



Range : (-∞, 12] Or -∞ < x ≤ 12.

Step-by-step explanation:

Domain of function is represented by the x-values (input values) of the function given in the graph.

Similarly, Range of the function is define by the y-values (output values) on the graph of a function.

Since y-values on the graph are between 12 and negative infinity (Including 12),

Therefore, range of the function will be (-∞, 12] or -∞ < x ≤ 12


-∞ < y ≤ 12

Step-by-step explanation:

For all Plato users

Ordered pair of -x+3y=9


Answer: x=3y−9

Step-by-step explanation:Let's solve for x.


Step 1: Add -3y to both sides.



Step 2: Divide both sides by -1.

−x/−1  =  −3y+9/−1


Identify the number that is 9.5 units from 2 on a number line


There are two such numbers.

One of them is 2 + 9.5 = 11.5.

The other one is 2 - 9.5 = -7.5.


If we consider "9.5 units from 2" to be 9.5 units in the positive direction, then the appropriate choice is 11.5.

\boxed{\large{\bold{\blue{ANSWER~:) }}}}

we have to find the number that is 9.5 units from 2 on a number line


such as:

  • 2+9.5=11.5
  • 2-9.5=-7.5

we can represented it on the number line

(See this attachment)



(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) = sin \alpha - cos \alpha


Given that we have to simplify:

(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) ---- eqn 1

We know that,

sin^2 x = 1 - cos^2 x

Substitute the above identity in eqn 1

(2\left(1-\cos ^(2) \alpha\right)-1)/(\sin \alpha+\cos \alpha)

Simplify the above expression

(2-2 \cos ^(2) \alpha-1)/(\sin \alpha+\cos \alpha)

(1-2 \cos ^(2) \alpha)/(\sin \alpha+\cos \alpha) ------- eqn 2

By the trignometric identity,

(sin x + cos x)(sin x - cos x) = 1-2cos^2 x

Substitute the above identity in eqn 2

((\sin \alpha+\cos \alpha)(\sin \alpha-\cos \alpha))/(\sin \alpha+\cos \alpha)

Cancel the common factors in numerator and denominator

((\sin \alpha+\cos \alpha)(\sin \alpha-\cos \alpha))/(\sin \alpha+\cos \alpha)=\sin \alpha-\cos \alpha

Thus the simplified expression is:

(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) = sin \alpha - cos \alpha