Answer:
12:6
Step-by-step explanation:
Answer:
B. y=3(x-1)2 + 3
Step-by-step explanation:
Given that
vertex of the parabola is at the point (1,3)
let's verify, if the option B is the correct equation of the parabola.
comparing to standard equationof parabola (standard quadratic equation), we get
to find the vertex we use formula for x- coordinate as 
to find y put x=1 in the Eq1, we get
vertex =(x,y) = (1, 3)
thus vertex of the parabola from the equation y=3(x-1)2 + 3 is (1,3), thus verified
<h3>Factor –3y – 18 is: -3(y + 6)</h3>
<em><u>Solution:</u></em>
Given that we have to factor -3y - 18
Use the distributive property,
a(b + c) = ab + bc
From given,
-3y - 18
Factor out the greatest common factor of 3 and 18
The factors of 3 are: 1, 3
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 3
Factot out 3 from given expression
-3y - 18 = 3( - y - 6)
Or else we can rewrite as,
-3y - 18 = -3(y + 6)
Thus the given expression is factored
Answer:
166 packs
Step-by-step explanation:
Data obtained from the question include:
Total pack of paper needed by Bret 450 packs
Bret currently has = 284 packs
The remaining packs of paper needed by Bret = 450 — 284 = 166 packs
Answer:
To do this, all you need is to draw triangle with each side being 7 cm, and a circle that intersects all three of its corners.
Step-by-step explanation:
- With a ruler and a pencil, draw a 7cm line.
- With a compass set to a radius of 7cm draw an arc centered around the right end of the line.
- With the same compass, still at 7cm, draw an arc centered around the left end of the line.
- These two arcs will intersect on either side of the line (you only need one side, so you only need a small arc in the right place, roughly where you think the third point if the triangle is.
- Where those arcs intersect is the third point on your triangle. Mark that, and then trace two lines from that point to either end of the line segment you started with.
<em>You now have an equilateral triangle with 7cm sides. Next you need to draw the circle</em>
- Measure the halfway point on two of your three lines.
- Draw a line from that each of those halfway points to the opposite corner. The new lines you're drawing will be perpendicular to the edge your measuring against.
- You have now drawn two line segments, and they intersect in the center of the circle. Now take your compass and set its radius to the distance from that center point to one of the three corner points.
- Centered on that middle point, trace a circle with the selected radius.
And you're done!
