1 Select the correct answer. Twenty-seven minus 3/2 of a number (X) is not more than 36. What is the number?

Write an equation of the line in slope intercept form that pass through the two

Ber [7]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -2}}\quad ,&{{ 15}})\quad 
% (c,d)
&({{ 9}}\quad ,&{{ -18}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-18-15}{9-(-2)}\implies \cfrac{-18-15}{9+2}
\\\\\\
\cfrac{-33}{11}\implies -3$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-15=-3[x-(-2)]
\\\\\\
y-15=-3(x+2)\implies y-15=-3x-6\implies y=-3x+9$

8 0

2 years ago

Toby wants to find the volume of a solid toy soldier.

mr Goodwill [35]

Answer:

Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A. 125 B. 156 C. 192 D. 208 E.317

The volume of the toy is 125 cubic cm ,option A is the closest answer.

Step-by-step explanation:

Given:

A rectangular container .

Length of the container =8 cm

Width of the container = 6 cm

Height of the container when water is filled = $(h_1)$ = 4 cm