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vlada-n [284]
2 years ago
8

For what value of a​ is a(2x+3)=9x+15+x an identity?

Mathematics
1 answer:
dem82 [27]2 years ago
6 0

Answer:

Expand the left side, group like terms on both sides, and get

(2a)x + 3a = 10x + 15

To be true for all x, equate like terms from both sides and get

2a = 10

3a = 15

Solution: a = 5

You can test the answer.

Step-by-step explanation:

Expand the left side, group like terms on both sides, and get

(2a)x + 3a = 10x + 15

To be true for all x, equate like terms from both sides and get

2a = 10

3a = 15

Solution: a = 5

You can test the answer.

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3 years ago
In Triangle ABC, Sin B= 9/38. What is the value of the hypotenuse in the triangle?
Montano1993 [528]
The definition of sine is "opposite / hypotenuse".
So, it is safe to assume that hypotenuse = 38.


8 0
3 years ago
The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of
guajiro [1.7K]

Given.

Radius of the Half sphere is 3 inches.

From the figure;

Radius of half sphere= Radius of cylinder= Radius of cone=3inches

Height of cone= 4inches.

Height of cylinder=6inches.

Volume of cone=(πr²h)/3

=(π3²×4)/3

=(12π) inch³

volume of cylinder= πr²h=π3²6=54π inch³

Volume of half sphere= (4/3) π r³=π(4×3³)/3 (1/2)=π×4×9/2=18π inch³

Total area of Composite figure=(12π +54π +18π) inch³

=84π inch³

=(84)× 22/7inch³

=12×22 inch³

=264inch³

Hope it helps...

Regards;

Leukonov/Olegion.

6 0
3 years ago
Read 2 more answers
What is 6 over 15 in decimal and percent conversions
Sladkaya [172]

6\15=2\5=0,4=40%

.....................

8 0
3 years ago
HELlooo PLEASE HELP TQ :_
Dmitrij [34]

Answer:

The area will be 16 units^2

Step-by-step explanation:

hope it helps you

have a great day

3 0
2 years ago
Read 2 more answers
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