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sveta [45]
2 years ago
7

Is it ever possible that cos (A−B)=cos ⁡A−cos ⁡B? Why

Mathematics
1 answer:
svetlana [45]2 years ago
8 0

Answer:

  yes, there are an infinite number of solutions

Step-by-step explanation:

The attached graph shows values of A and B (x and y) that can make this equation be true. Any of the points on any of the curves will satisfy the equation. (The repetition continues indefinitely in all directions.)

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Change the fraction w-3/w+5 into an equivalent fraction with the denominator w2 + w – 20.
viktelen [127]
ANSWER

\frac{ {w}^{2}  - 7w + 12}{ {w}^{2}  + w - 20 }

EXPLANATION


The given fraction is,

\frac{w - 3}{w + 5}

To get an equivalent fraction, we multiply both the numerator and the denominator by the same quantity that will give us

w²+w-20

in the denominator.


This implies that,

\frac{w - 3}{w + 5}  =  \frac{(w - 3)(w - 4)}{(w + 5)(w - 4)}

We multiply out the numerators and denominators using the distributive property to obtain,


\frac{w - 3}{w + 5}  =  \frac{ {w}^{2}  - 4w - 3w + 12}{ {w}^{2} - 4w + 5w - 20 }

This simplifies to

\frac{w - 3}{w + 5}  =  \frac{ {w}^{2}  - 7w + 12}{ {w}^{2}  + w - 20 }


5 0
3 years ago
Write an equation of the parabola in vertex form that passes through (-7, -15) and has vertex (-5, 9)
iren2701 [21]
The equation for the parabola would be: y=-6(x+5)^2+9
7 0
3 years ago
A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .
Andrei [34K]
The volume of the original prism is calculated by multiplying the area of the base by the height,
                               volume = (8 cm²)(6 cm) = 48 cm³
By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,
                           x / 48 cm³ = (5/4)³
The value of x from the equation above is equal to 93.75 cm³. 
8 0
3 years ago
Read 2 more answers
What is the answer to -4|8n|=-32
Kisachek [45]

Answer:

n=-1, 1

Step-by-step explanation:

-4|8n|=-32

Divide each side by -4

-4|8n|/-4=-32/-4

|8n|=8

When we have absolute values, we need to make two equations, one positive and one negative

8n=8             8n=-8

Divide each side by 8

8n/8 = 8/8         8n/8 = -8/8

n=1                     n=-1

7 0
2 years ago
HELPPP WILL GIVE BRAINLIST
Nastasia [14]

Answer:

6. A

7. D

8. B

9. C

10. B

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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