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FromTheMoon [43]

4 years ago

8

Which of the following is equal to

" \frac{1}{5^2} " alt=" \frac{1}{5^2} " align="absmiddle" class="latex-formula">

1 answer:

Elza [17]4 years ago

8 0

Immediately omit the negative possible answer. Since 5^2 = 25, 1/5^2 = 1/25.

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3kg of rump steak costs 42 pounds adel buys 4kg of rump steak work out how much adel pays

12345 [234]

Answer:

I think it's 56 pounds but I could be wrong

3 0

3 years ago

(2b/3)^4 simplify the expression

Vladimir [108]

Answer:

$\large\boxed{\left(\dfrac{2b}{3}\right)^4=\dfrac{16b^4}{81}}$

Step-by-step explanation:

$\left(\dfrac{2b}{3}\right)^4\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{2^4b^4}{3^4}=\dfrac{16b^4}{81}$

6 0

3 years ago

A diameter of a circle has endpoints P(-10,-2) and Q(4,6).

Lesechka [4]

Check the picture below.

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{-10}~,~\stackrel{y_1}{-2})\qquad Q(\stackrel{x_2}{4}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{4-10}{2}~~,~~\cfrac{6-2}{2} \right)\implies \left( \cfrac{-6}{2}~,~\cfrac{4}{2} \right)\implies \stackrel{\textit{center}}{(-3~,~2)} \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{\textit{center}}{(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})}\qquad Q(\stackrel{x_2}{4}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[4-(-3)]^2+[6-2]^2}\implies r=\sqrt{(4+3)^2+(6-2)^2} \\\\\\ r=\sqrt{49+16}\implies r=\sqrt{65} \\\\[-0.35em] ~\dotfill$

$\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-3}{ h},\stackrel{2}{ k})\qquad \qquad radius=\stackrel{\sqrt{65}}{ r} \\[2em] [x-(-3)]^2+[y-2]^2=(\sqrt{65})^2\implies (x+3)^2+(y-2)^2=65$

5 0

3 years ago

The sum of two numbers is 200 and the two numbers are in a ratio of 4:6. Fill in the given boxes with the numbers.

sineoko [7]

Answer:

They are

4+6=10

200/10=20

ratio4= 20x4 = 80

ratio6= 20x6= 120

to prove it do 120+80= 200

8 0

3 years ago

F(x) = x3 – 4x² - 6x – 32 at x = 6

scoundrel [369]

Answer:

X= 140

Step-by-step explanation:

f(x) = x3 – 4x² - 6x – 32 at x = 6

(6)(6)(6) -4²=72

-6(6)-32= -68

72+68=140

3 0

3 years ago