Answer: <u>B, about 280 ounces</u>
16.9 + 15.2 = 32.1
32.1 * 7 = 224.7
Not A because she doesn't drink 30 oz she drinks 32.
B is the closest and is rounding both numbers up.
C is false because you don't multiply by 10, you multiply by 7 because of the 7 days in a week.
D is false for the same reason as C.
Ratios are fractions. Equivalent means equal, if you change one set of numbers, you have to change the second set of numbers so then that Ratio or Equivalent fraction stays equal on both sides.
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
You have to draw a pie graph.
The first piece (with the straight angle) cuts the pie in half.
The second piece cuts the remaining half in halves (making a quarter).
The third and fourth pieces are the same as each other. So they must each have an angle of 45 degrees. Each of these is an eighth of the total pie.
Should be fairly easy. Good luck!
Answer:
B) -1
Step-by-step explanation:
This is the equation of a parabola which can be expressed as
y = a(x-h)² + k (1)
where (h, k) are the coordinates of the vertex which is the minimum or maximum of the graph. Strict definition is where the parabola intersects the line of symmetry ie the line which cuts a shape into half
Parabolas are symmetric around the line of symmetry
Here we see the vertex is at x = 0, y = 9 (0,9) so h=0 and k = 9
Substituting equation (1) we get
y = a(x -0)² + 9 = ax² + 9
To find a all we have to do is choose any point on the parabola, plug its x and y values into the parabola equation above
A convenient point is where the parabola intersects the positive x axis. Here x = 3 and y = 0
Plugging these values we get
0 = a(3)² + 9
a = -9/9 = -1
