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3 years ago

Make a conjecture about 5 to the power of 2 minus 6 to the power of 2= 5 +4 =9

Mathematics

1 answer:

Inessa [10]3 years ago

3 0

5^2 - 6^2
is the difference of 2 squares
and = (5-6)(5+6) = -11

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On Friday, a local hamburger shop sold a combined total of 294 hamburgers and cheeseburgers. The number of cheeseburgers sold wa

Shalnov [3]

Answer:

98 hamburgers were sold on Friday.

Step-by-step explanation:

294/3=98

98+98=196 cheese burgers

196+98=294 hamburgers and cheeseburgers in total

98 hamburgers

7 0

3 years ago

Point T is the midpoint of JH. The coordinate of T is (0, 5) and the coordinate of J is (0, 2). The coordinate of H is:

aev [14]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&J&(~ 0 &,& 2~) 
% (c,d)
&H&(~ x &,& y~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left(\cfrac{x+0}{2}~~,~~\cfrac{y+2}{2} \right)=\stackrel{midpoint~T}{(0~,~5)}\implies 
\begin{cases}
\cfrac{x+0}{2}=0\\\\
\boxed{x=0}\\
------\\
\cfrac{y+2}{2}=5\\\\
y+2=10\\
\boxed{y=8}
\end{cases}$

6 0

3 years ago

Rewrite using exponential notation \root(6)((4\pi )^(3))

Nezavi [6.7K]

$~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[6]{(4\pi )^3}\implies (4\pi )^{\frac{3}{6}}\implies (4\pi )^{\frac{1}{2}}$

5 0

1 year ago

What is the location of point A?

AlladinOne [14]

Answer:

C.-1.6

Step-by-step explanation:

distance: -1 - (-2) = 1

1 ÷ 5 = 1/5

-1 - 1/5 × 3 = -1 3/5 = -1.6

3 0

2 years ago

Twice the difference of a number and 8 equals 2

bixtya [17]

Answer:

x=16

Step-by-step explanation:

2(x/8)=2

2x / 16=2

x 16 x 16

2x=32

2x/2= 32/2

x= 16

6 0

2 years ago