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3 years ago

6(p+3)-6(p+5) expand and simplify need help asap

Mathematics

2 answers:

Alex Ar [27]3 years ago

8 0

Step-by-step explanation:

6(p+3)-6(p+5)=6p+18-6p-30=-12

Gala2k [10]3 years ago

5 0

Answer:

-12

Step-by-step explanation:

Expand the first bracket:

6p + 18 - 6(p + 5)

Expand the second bracket:

6p + 18 - 6p - 30

Now simplify:

6p - 6p = nothing

So you get:

18 - 30

Which equals:

= -12

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Carl knows that the area of a given circle is 400 cm2. He wants to defend an informal argument that the area of a circle can be

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ANSWER:

Carl could divide the circle into a larger even number of congruent sectors. Then each sector would be smaller, and the approximation of the circle’s area will be closer to the actual area of the circle.

STEP BY STEP EXPLANATION :

Area of a Circle by Cutting into Sectors:

1. Cut a circle into equal sectors and the more we divided the circle up, the closer we get to being exactly right.

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ow we just multply the width by the height to find the area of the rectangle:

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Conclusion

Area of Circle = π r2

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3 years ago

The total cost renting a bicycle is $10 flat fee plus an additional $7.50 per hour. If the total cost was $55, for how many hour

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The image of RST in the graph shown below is rotated 90°counterclockwise around the origin to form R'S'T'.

Aleonysh [2.5K]

Answer:

Please check the explanation.

Step-by-step explanation:

Let suppose we have a point P(x, y) if we rotate our point 90 degrees counterclockwise about the origin, the new coordinates of the image of the point P can be obtained by switching 'x' and 'y' and making 'y' negative.

In other words,

P(x, y) → P'(-y, x)

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The coordinates of the point S is:

S(10, 1)

According to the rule, if we have a point S(10, 1), after rotations of 90 degrees counterclockwise about the origin, the new coordinates of the image of the point S(10, 1) will be:

S(10, 1) → S'(-1, 10)

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2 years ago

Find the point of intersection of the pair of straight lines.

Ber [7]

Answer:

(x,y) = ( $\frac{9}{2}$ , $\frac{1}{2}$ )

Step-by-step explanation:

We have to find point of intersection of two lines.

the given equations of line are:

10x - 4y = 43 - (1)

-3x - 3y = -15 - (2)

Multiplying the first equation by 3 we have:

(10x - 4y = 43)×3 = 30x - 12 y = 129 - (3)

Multiplying second equation by 10 we have :

(-3x - 3y = -15)×10 = -30x -30y = -150 - (4)

Now, adding equation (3) and (4) we have:

-42y = -21

⇒ y = $\frac{1}{2}$

Now, putting this value of y in equation (1), we have

10x - 2 = 43

⇒ 10x = 45

⇒x = $\frac{9}{2}$

Hence, the intersection of given two lines is (x,y) = ( $\frac{9}{2}$ , $\frac{1}{2}$ )

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