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2 years ago

(5-2u+3w)(-4) simplified

Mathematics

1 answer:

BlackZzzverrR [31]2 years ago

3 0

(-4(5-2u+3w)

-20+8u-12w

8u-12w-20

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Alannah, Colin and Hannah visit the park and collect conkers and acorns.

Alekssandra [29.7K]

Answer:

acorns

Step-by-step explanation:

20x=9y

9/20 to 5/9

5/9 of the acorns collected are from Hannah

9/20 of the conkers collected are from Hannah

5/9 is larger than 9/20

Hannah collected more acorns

8 0

1 year ago

Write the equation of the circle below to complete the square. Also determine the area of the circle.

diamong [38]

Answer: $(x-7)^2+(y+2)^2=11^2$ ; $A=121\pi$

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Begin by grouping the 'x' terms and 'y' terms:

$(x^2-14x)+(y^2+4y-68)=0$

Complete the square for the second polynomial:

$(\frac{b}{2} )^2=(\frac{4}{2} )^2=4$

$(x^2-14x)+(y^2+4y+4-4-68)=0$

$(x^2-14x)+(y^2+4y+4)-4-68=0$

$(x^2-14x)+(y^2+4y+4)-72=0$

$(x^2-14x)+(y+2)^2-72=0$

Do the exact same process with the other polynomial:

$(x^2-14x-72)+(y+2)^2=0$

Complete the square:

$(\frac{14}{2} )^2=49$

$(x^2-14x+49-49-72)+(y+2)^2=0$

$(x^2-14x+49)-49-72+(y+2)^2=0$

$(x^2-14x+49)-121+(y+2)^2=0$

$(x-7)^2-121+(y+2)^2=0$

Bring the 121 to the other side to get:

$(x-7)^2+(y+2)^2=121$

$(x-7)^2+(y+2)^2=11^2$

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

$A=\pi r^2=121\pi$

8 0

1 year ago

The ratio of white chocolate to dark chocolate sold at a candy shop was 4 : 3. If there were 20 bars of white chocolate sold, ho

Ksju [112]

Answer:

Step-by-step explanation:

if the white chocolate is the 4 you would need to multiply it by 5 to get 20 so if u multiply 3 by 5 you get 15 hope this helps :)

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2 years ago

Rewrite the expression 4+ the square root of 16-(4)(5) decided by 2 as a complex number in standard form a+bi

bija089 [108]

Answer: $4 + \sqrt{4i}$

Step-by-step explanation:

$4+ \sqrt{16-(4)(5)} = 4 + \sqrt{16-20} =4 + \sqrt{-4} = 4 + \sqrt{4i}$

if it matters then simply further...

4 + \sqrt{4i} = $4 + 4i^{1/2}$

8 0

2 years ago

First to answer gets brainliest

taurus [48]

The answer is A. The Associative Property, followed by the Associative Property.

It's because they want you to group stuff, not simplify them.

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2 years ago

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