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Tpy6a [65]
3 years ago
9

Please answer this question​

Mathematics
1 answer:
Aleks [24]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{3}{7} a × - \frac{21}{15} b ( cancel 3 and 15 and 7 and 21 )

= a × - \frac{3}{5} b

= - \frac{3}{5} ab

(b)

3xy(5x²y² - 4yz) ← multiply each term in the parenthesis by 3xy

= 15x³y³ - 12xy²z

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Write the equation of the line with a slope of 17 and passing through the point (0,0)
nikdorinn [45]

Answer: y = 17x


Step-by-step explanation:

Note that the equation that will be used is: y = mx + b,in which m = slope and b = y-intercept.


Solve for b:


0 = 17(0) + b


Simplify:

0 = 0 + b

b = 0


Equation: y = 17(x)


~

4 0
4 years ago
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Common denominator of 5\12 2\9
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one more than seven times the difference of a number and 4 is equivalent to twice the difference of the number and 1
slava [35]

Answer:

the number is 5

Step-by-step explanation:

We have to find the equation to solve the problem.

Let the number be x

lets write one more than seven times the difference of a number and 4  in mathematical form

1. Difference of number and 4 will be written as x - 4

now

2. seven times the difference of a number and 4 will be written as

7*( x - 4)

3. one more than seven times the difference of a number and 4 is expressed as

1 + 7*( x - 4)

_____________________________________________

1 + 7*( x - 4) is equal to twice the difference of the number and 1

4. difference of the number and 1 is x - 1

5.  twice the difference of the number and 1 is 2*(x-1)

Thus,

1 + 7*( x - 4) = 2*(x-1)

=> 1 + 7x - 28 = 2x -2

=> 7x - 27 = 2x - 2

adding 27 both sides

=> 7x - 27 + 27 = 2x - 2 + 27

=> 7x = 2x + 25

subtracting 2x from both sides

7x -2x = 2x + 25 - 2x

=> 5x = 25

dividing both side by 5

5x/5 = 25/5

x = 5

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3 years ago
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3 years ago
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Kite DCFE is inscribed in circle A shown below.
kogti [31]

Answer:

∠DEF =56°

Step-by-step explanation:

We are given that arc DEF = 248°

So, arc DCF = 360°-248°

arc DCF = 112°

Now we are required to find the ∠DEF.

So, we will use Inscribed angle theorem.  

Inscribed angle theorem: The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.  

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Inscribed angle = ∠DEF

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7 0
3 years ago
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