Answer: X = -5
Step-by-step explanation:
3(x-5)=2(x-10)
3x - 15 = 2x -20
3x = 2x -5
x = -5
For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:
The volume of the prism is given by:

Where:
: It is the area of the base
h: It's the height
Substituting:
The volume of the pyramid is given by:

Where:
It is the area of the base
h: It's the height
Substituting:

We add and we have:

ANswer:
Option D
Using distance between two points to find the lengths of the edges of the triangle, the correct option is:
b. Isosceles
The distance between two points,
and
, is given by:

Vertex D is translated 4 units to the right is (9,8).
The lengths of the edges are:



<u>Two edges of the same length</u>, hence, it is an isosceles triangle, given by option b.
You can learn more about distance between two points at brainly.com/question/18345417
Answer:
(b)
Step-by-step explanation:
A suitable calculator or spreadsheet can find the matrix product for you. Here, the answer choices differ in their upper left term, so we can determine the correct choice by finding the value of that term. It is the dot product of the first row of B and the first column of A.
(5)(3) +(7)(3) +(3)(2) = 15 +21 +6 = 42
This matches choice B.
19.- 20dollars/year
20.-the date is a linear function because it has a constant rate of change
21.-2x+4y=48
22.-x=24
23.-y=12
25.- the x intercept indicates the amount of hotdogs that you can buy when you do not buy any hamburgers
26.- the y intercept indicates the amount of burgers you can buy when x=0