Answer:
Step-by-step explanation:
<u><em>
Options are:
</em></u>
- <em>2 feet
</em>
- <em>3 feet
</em>
- <em>9 feet
</em>
- <em>15 feet
</em>
- <em>19 feet
</em>
- <em>21 feet
</em>
- <em>30 feet</em>
<em>-------------------------------------</em>
Use the triangle inequality theorem: sum of any two side must be greater than the third side by length
- 2 feet ⇒ no, as 2 + 9 < 12
- 3 feet ⇒ no, as 3 + 9 = 12
- 9 feet ⇒ yes
- 15 feet ⇒ yes
- 19 feet ⇒ yes
- 21 feet ⇒ no, as 9 + 12 = 21
- 30 feet ⇒ no, as 9 + 12 < 30
The conversion ratio that can be illustrated will be converting 2030m to kilometers.
<h3>How to illustrate the conversion?</h3>
The unit conversion that can be illustrated based on the information can be convert 2030m to kilometers.
It should be noted that 1000 meters makes 1 kilometer. Therefore, rounding up 2030m mentally will be 2000m and the conversion to kilometers will be:
= 2000/1000
= 2 km
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Answer: I believe it would be 15.42
Step-by-step explanation:
The correct question is
<span>What are the vertex and x-intercepts of the graph of the function given below?
y = x</span>²<span>-2x-35
step 1
convert the equation in the vertex form
y+35=x</span>²-2x
y+35=(x²-2x+1-1)
y+35+1=(x²-2x+1)
y+36=(x-1)²------> equation in the vertex form
the vertex is the point (1,-36)
the answer Part a) is
the vertex is the point (1,-36)
Part b) Find the x-intercepts
we know that
the x-intercepts is when y=0
so
y+36=(x-1)²
for y=0
(x-1)²=36
(+/-)(x-1)=√36-------> (+/-)(x-1)=6
(+)(x-1)=6------> x=6+1-----> x=7
(-)(x-1)=6-----> x=1-6-----> x=-5
the x-intercepts are the points
(7,0) and (-5,0)
the answer part b) is
the x-intercepts are the points (7,0) and (-5,0)
the total answer is the option
<span>A. Vertex: (1, -36); x-intercepts: (7, 0) and (-5, 0)</span>
