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irga5000 [103]
3 years ago
9

The circle is 5.1 cm what is the diameter and radius of the circle

Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

Step-by-step explanation:

C=2πr

5.1cm=2×3.14×r

5.1cm=6.28r

r=0.8cm

d=0.8cm×2

d=1.6cm

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
Alexxx [7]

(x - 5i√2)(x +5i√2)

given the roots of a polynomial p(x), say x = a and x = b

then the factors are (x - a)(x - b)

and p(x) is the product of the factors ⇒ p(x) = (x - a)(x - b)

here x² + 50 = 0 ⇒ x² = - 50 → ( set = 0 for roots)

take the square root of both sides

x = ± √-50 = ±  √(25 × 2 × -1) = √25 × √2 × √-1 = ± 5i√2

The roots are x = ± 5i√2

thus the factors are ( x - ( - 5i√2)) and (x - (+5i√2))

x² + 50 = (x + 5i√2)(x - 5i√2)


8 0
4 years ago
Select the pair of equations whose graphs are perpendicular.  
viktelen [127]
k:\ y=m_1x+b_1\ \ \ \ and\ \ \ \ l:\ y=m_2x+b_2\\ \\the\ line\k\ is\ perpendicular\ to\ the\ line\ l\ \ \ \Leftrightarrow\ \ \ m_1\cdot m_2=-1\\----------------------------\\\\A.\\2y=-3x+5\ \ \Rightarrow\ \ \ y=-  \frac{3}{2}  x+2.5\ \ \Rightarrow\ \ m_1=- \frac{3}{2} \\\\2x+3y=4\ \ \Rightarrow\ \ 3y=-2x+4\ \ \Rightarrow\ \ y=- \frac{2}{3}x+1 \frac{1}{3}  \ \ \Rightarrow\ \ m_2=- \frac{2}{3} \\\\m_1\cdot m_2=- \frac{3}{2} \cdot (- \frac{2}{3})=1 \neq -1

B.\\5x-8y=9\ \ \Rightarrow\ \ -8y=-5x+9\ \ \Rightarrow\ \ \ y=  \frac{5}{8}  x-1 \frac{1}{8} \ \Rightarrow\ \ m_1= \frac{5}{8} \\\\12x-5y=7\ \Rightarrow\ \ -5y=-12x+7\ \ \Rightarrow\ \ y= \frac{12}{5}x-1 \frac{2}{5}  \ \ \Rightarrow\ \ m_2= \frac{12}{5} \\\\m_1\cdot m_2= \frac{5}{8} \cdot  \frac{12}{5}= \frac{3}{2}  \neq -1

C.\\y=2x-7\ \ \Rightarrow\ \ m_1=2 \\\\x+2y=3\ \Rightarrow\ \ 2y=-x+3\ \ \Rightarrow\ \ y= -\frac{1}{2}x+1 \frac{1}{2}\ \ \Rightarrow\ \ m_2=- \frac{1}{2} \\\\m_1\cdot m_2= 2 \cdot (- \frac{1}{2})= -1\ \ \Rightarrow\ \ y=2x-7\ \ \ \ \perp\ \ \ \ x+2y=3


D.\\x+6y=8\ \ \Rightarrow\ \ 6y=-x+8\ \ \Rightarrow\ \ \ y=- \frac{1}{6} x+1 \frac{1}{3}\ \ \Rightarrow\ \ m_1= -\frac{1}{6} \\\\y=2x-8\ \Rightarrow\ \ m_2= 2 \\\\m_1\cdot m_2= -\frac{1}{6} \cdot2=- \frac{1}{3} \neq -1
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Quinn and her friends were handing out flyers for their lemondare stand. There were 35 friends and they each handed out 126 flye
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If Quinn is included in the 35 friends the answer would be 35x126=4410.
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the third one

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