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stiv31 [10]
3 years ago
13

Factorise the following expressions m²-9n²​

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0

Answer:

(m - 3n)(m + 3n).

Step-by-step explanation:

This is the difference of 2 squares, so we use the identity:

a^2 - b^2 = (a - b)(a + b).

So m^2 - 9n^2

(m - 3n)(m + 3n).

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3 years ago
The perimeter of the triangle shown on the right is 257 feet.
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Find the parabola with equation y = ax2 + bx whose tangent line at (3, 12) has equation y = 10x − 18. y = incorrect: your answer
pishuonlain [190]
For these questions to be true and the equation of the tangent to have an equal y to the equation of the parabola i guess there has to be a "c" and in that case integrate the equation of the tangent you will have a = 5 and b = -18 then you substitute in the equation of the parabola with the point you have you will find that "c" = 21 and so the equation of the parabola becomes y = 5x^2 - 18 x +21
 
3 0
3 years ago
A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars,
lesantik [10]

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = x

Let number of lower deck seats = y

Let number of upper deck seats = z

As per question statement:

x+y+z=10000 ...... (1)

Cost for box seat = $10

Cost for x box seats = 10x

Cost for lower deck seat = $8

Cost for y lower deck seats = 8y

Cost for lower deck seat = $5

Cost for z lower deck seats = 5z

As per question statement:

10x+8y+5z=70000 ..... (2)

z = 4x ..... (3)

Putting value of y in (1) and (2):

x+y+4x=10000\\\Rightarrow 5x+y=10000 ....... (4)

10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)

8 \times (4) - (5):

10x =10000

\Rightarrow x = 1000

By (3):

z = 4000

Now, by equation (1):

y = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

6 0
3 years ago
Help please!
maks197457 [2]

The two inequalities are :

option B and option C

Explanation:

Daniel moves no more than 30 of his sheep and goats into another field. This means the summation of sheep and goats will be at maximum 30.

that is why it is s+g\leq30

And more than 7 of his animals are sheep means sheep are greater than 7. that is why = s>7


7 0
3 years ago
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