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2 years ago

12. The roots of a quadratic are x = -5 and x = 3.

1 answer:

4 0

I am so happy that I am so sorry to be so happy for now I have no never ever been in the office and I have no idea how much you have the answer is 4

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The answer to this question

Sophie [7]

The answer to this question is D) 13.9 in.

Try using the Pythagorean theorem when solving to get the hypotenuse or other angles for a right triangle.

4 0

2 years ago

A wire b units long is cut into two pieces. One piece is bent into an equilateral triangle and the other is bent into a circle.

mezya [45]

1. Divide wire b in parts x and b-x.

2. Bend the b-x piece to form a triangle with side (b-x)/3

There are many ways to find the area of the equilateral triangle. One is by the formula A= $\frac{1}{2}sin60^{o}side*side= \frac{1}{2} \frac{ \sqrt{3} }{2} (\frac{b-x}{3}) ^{2}= \frac{ \sqrt{3} }{36}(b-x)^{2}$
A= $\frac{ \sqrt{3} }{36}(b-x)^{2}=\frac{ \sqrt{3} }{36}( b^{2}-2bx+ x^{2} )=\frac{ \sqrt{3} }{36}b^{2}-\frac{ \sqrt{3} }{18}bx+ \frac{ \sqrt{3} }{36}x^{2}$

Another way is apply the formula A=1/2*base*altitude,
where the altitude can be found by applying the pythagorean theorem on the triangle with hypothenuse (b-x)/3 and side (b-x)/6

3. Let x be the circumference of the circle.

$2 \pi r=x$

so $r= \frac{x}{2 \pi }$

Area of circle = $\pi r^{2}= \pi ( \frac{x}{2 \pi } )^{2} = \frac{ \pi }{ 4 \pi ^{2} }* x^{2} = \frac{1}{4 \pi } x^{2}$

4. Let f(x)= $\frac{ \sqrt{3} }{36}b^{2}-\frac{ \sqrt{3} }{18}bx+ \frac{ \sqrt{3} }{36}x^{2}+\frac{1}{4 \pi } x^{2}$

be the function of the sum of the areas of the triangle and circle.

5. f(x) is a minimum means f'(x)=0

f'(x)= $\frac{ -\sqrt{3} }{18}b+ \frac{ \sqrt{3} }{18}x+\frac{1}{2 \pi } x$ =0

$\frac{ -\sqrt{3} }{18}b+ \frac{ \sqrt{3} }{18}x+\frac{1}{2 \pi } x=0$

$(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) x=\frac{ \sqrt{3} }{18}b$

$x= \frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$

6. So one part is $\frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$ and the other part is b- $\frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$

4 0

3 years ago

Read 2 more answers

a furlong is a unit of measure used in horse racing. every year, horses race 10 furlongs in the kentucky derby, one furlong is e

tankabanditka [31]

1.25 m.
here you go.

7 0

2 years ago

Help can someone please help me

kkurt [141]

Answer:

B=55

Step-by-step explanation:

2x+3x+2x+5=180

7x=175

X=25

B= 2x+5

B=2*25 +5

B=55

7 0

3 years ago

Please solve these soon I have to turn thin in tomorrow !!!!!!!!

Gnoma [55]

Answer:

a) so if you're looking for a then you substitute the a in the problem so the real question would be answered by simply doing this. 3 times (do this first) 6 times 3. so it would end up looking like this if you did it in your head. 6x3=18 then 18x3= 54 so the answer for ten after you did all the math would equal out to be 54.

d) so you're going to substitue the d again, for what it tells you d equals. in this case, d= a negative 2 so, 5 x do this first -2 x 4 = so if you did this in your head you would end up with -2 x 4 = -8 because anything times a negative is turned into a negative. so that is why the answer is -8 for the first part. then you multiply that answer by 5 because we all like the 5 dollar foot longs. so carry that into an answer of - 40. because we all know we want to be younger once we reach 40.

r) 5times -3 equals -15 times 2 would be... ding ding ding 30 because a negative times a negative is a positive. think of negatives this way. when you frown it's your smile upside down. ok so a frown is a negative, if you multiply a negative to a negative it's like turning your frown upside down. so you end up with a positive! ok?! so there. the secrets of life and math.

call me for the rest of the answers... this is too much to write down.

Step-by-step explanation:

4 0

2 years ago