Answer:
the vertex of the parabola is at the point; (5, -1)
which agrees with answer "B" in the list of options
Step-by-step explanation:
Notice that this is the equation of a parabola with branches that open horizontally (not vertically), since the variable the goes squared is the y-variable instead of "x".
By analyzing it we can then write it by isolating the term in "x" on one side of the equation, and use at the same time the fact that it is being written in "vertex" form:
Therefore, the "y-value" of the vertex must be that which renders zero in the expression squared, that is y = -1. On the other hand, the x-value of the vertex is that which renders zero for the variable "x": x=5.
Then, the vertex of the parabola is at the point; (5, -1)
Answer:
H = 11
Step-by-step explanation:
volume is 165
base is 15.
V = Bh
165 = 15 x ?
? = 11
check answer
15 x 11 = 165
Step-by-step explanation:
as the graphic shows, there are 2 objects : 1 block and 1 triangular shaped half-block.
the block is
7cm × 6cm × 2cm
the half-block is
8cm × 7cm × 6cm
with 10cm being the length of the tilted "roof" area.
the 2 sides facing each other are not visible to the observer, so, they are not part of the surface area of the composite figure.
let's start with the block :
top and bottom 7×2
front and back 6×2
no left (fully covered by the half-block)
right 6×7
that gives us :
2 × 7×2 = 2×14 = 28 cm²
2 × 6×2 = 2×12 = 24 cm²
6×7 = 42 cm²
in total : 94 cm²
the half-block :
top 10×7
bottom 8×7
front and back (triangles) 8×6/2
no left (due to being a half-block)
no right (fully covered by the block)
that gives us :
10×7 = 70 cm²
8×7 = 56 cm²
2 × 8×6/2 = 2×24 = 48 cm²
in total : 174 cm²
so, the complete surface area of the composite figure is
94 + 174 = 268 cm²
Answer:
(8, 6)
Step-by-step explanation:
The cost per foot of redwood and of pine is $3.5 and $1.5 respectively.
<h3>How to solve simultaneous equation?</h3>
let
- cost of redwood = x
- cost of pine = y
50x + 70y = 280
100x + 60y = 440
Multiply (1) by 2
100x + 140y = 560
100x + 60y = 440
subtract to eliminate x
80y = 120
y = 120/80
y = $1.5
substitute y = 1.5 into (1)
50x + 70y = 280
50x + 70(1.5) = 280
50x + 105 = 280
50x = 280 - 105
50x = 175
x = 175 / 50
x = $3.5
Learn more about equation:
brainly.com/question/2972832
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