Answer:
The consecutive even numbers are 28, 30, 32, 34
Step-by-step explanation:
let the four consecutive even numbers be: b d f h,
such that:
b=b, d=b+2, f=b+4, h=b+6.
Therefore, 2(b+b+2)=3(b+6)+14
b=28,
d=(b+2)=30
f=(b+4)=32
h=(b+6)=34
Answer:
45 °
Step-by-step explanation:
m< ABC = m< DBC + m< ABD
= 115 _ 70
= 45 °
Answer:
g(x) = –3(x + 6)2 + 48.
Step-by-step explanation:
The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.
Answer:
x = 0
Step-by-step explanation:
You know the answer to this because you know the identity element for addition is 0: 5 + 0 = 5.
__
Or, you can make use of the addition property of equality and add -5 to both sides of the equation:
5 - 5 + x = 5 - 5
x = 0 . . . . . . . . . . simplify
The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
<h3>What is a right rectangular prism?</h3>
A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
=
+ 
=
+ 
= 196 + 169 = 365
= 365
diagonal =
= 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
Learn more about Right rectangular prism: brainly.com/question/3317747
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