Answer:
3) (2,-9)
4) (0,-5)
5) (1,-8)
Step-by-step explanation:
3)
The vertex will occur between you x-intercepts.
You already found that happens at x=2.
To find the corresponding y-coordinate, replace x in
f(x)=(x+1)(x-5) with 2:
f(2)=(2+1)(2-5)
f(2)=(3)(-3)
f(2)=-9
So the vertex is (2,-9).
4)
The y-intercept is when x=0.
So in f(x)=(x+1)(x-5) replace x with 0:
f(0)=(0+1)(0-5)
f(0)=(1)(-5)
f(0)=-5
So the y-intercept is (0,-5).
5)
To find another point just plug in anything besides any x already used.
We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.
So replace x in f(x)=(x+1)(x-5) with x=1:
f(1)=(1+1)(1-5)
f(1)=(2)(-4)
f(1)=-8
So another point to graph is (1,-8).
In order to make point D as the vertex in the construction as triangle ABC, the third arc should cross the second arc.
<h3>What is an arc?</h3>
In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.
In order to make point D as the vertex in the construction as triangle ABC, you must ensure that the third arc crosses the second arc as illustrated in image attached below.
Read more on arc here: brainly.com/question/20594692
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If it is 5+2x=2x+6 than the answer is no solution
Answer: Abigail can make about 16 candles because 0.4 of a candle would not make an entire candle.
Step-by-step explanation:
For the Wax, it’s
V=Bh
V= l*w*h
= 15 cm * 11cm * 18 cm
= 2,970 cm^3
For the Mold, it’s
V=Bh
= r^2h
= * (3.1 cm)^2 * 6
= about 181 cm^3
Then you divide to find out how many candles you can make.
2,970 cm^3/181= 16.4
Hope this helps!
