PLEASE HELP WITH MATH

Volume: 105 cubic centimeters

Mass of doorstop: 924 grams

Step-by-step explanation:

First, you need to find the area of the triangular base of the prism. The area of the triangle is bh/2=10*6/2=30 square centimeters. Multiplying this by the height of the doorstop of 3.5, you get a total volume of 105 cubic centimeters. Since each cubic centimeter weighs 8.8 grams, the whole thing weighs 105*8.8=924 grams. Hope this helps!

volume 105 cm³

mass 924 g

Step-by-step explanation:

This is triangular prism so (Volume) V = (Area of base) B * (Height) H

In this case is triangle is the base shape with base b =10cm and height h= 6cm so

B =1/2 bh = 1/2 *10*6 =30 cm²

(Height) H = 3.5 cm

so V = 30*3.5 = 105 cm³

1 cm³ has a mass ≈ 8.8g

so the mass of the doorstop is volume * mass per cm³

105 * 8.8 = 924 g

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation:

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)