9. 12 edges
Work: <u>4</u> horizontal edges on top, <u>4</u> horizontal edges on bottom, <u>4</u> vertical edges for sides
10. Ten-thousands place
Work: The 8 is highlighted. The order of places is: <u>ten-thousands</u>, thousands, hundreds, tens, ones
11. 10 4/5
Work: 54 ÷ 5 ——> 50÷5 = <u>10</u> with 4 left over and put into a fraction of <u>4/5</u>
12. 3,000
Work: 2 is in the thousands place so you look to the place behind it and there is an 8. If the number behind is 5 through 9 then you round up. 8 is above 5, therefore, you round the 2 up to a <u>3</u>.
13. 0.45
Work: The pattern is +0.03 so 0.42+0.03=<u>0.45</u>
14. 54 cakes
Work: <u>6 eggs</u> per 1 cake • <u>9 cakes</u> = 6•9=54 eggs used
15. 378 desks in the school
Work: 6 rows • 7 desks per row = 42 desks in 1 classroom. 42 desks • 9 classrooms = 378 desks in the whole school
The answer simplified is 49y^8
We get the coordinates of D' as (5, -10).
We have a triangle BCD.
We are given the coordinates as:
B(-4,-2) C(0, 2), and D(2, -4)
we will first find the distance between the points to get the sides of the triangle.
BC² = ( 0 + 4)² + (2 + 2)²
BC² = 16 + 16
BC = 4√2
CD² = (2 - 0)² + (-4 - 2)²
CD² = 4 + 36
CD = 2√10
BD² = (2 + 4)² + ( -4 + 2)²
BD² = 36 + 4
BD = 2√10
Now, we use a scale factor of 5 / 2.
So he coordinates of D' will be:
D' = ( 2 × 5 / 2 , -4 × 5 / 2 )
D' =( 5, -10)
Therefore, we get the coordinates of D' as (5, -10).
Learn more about coordinates here:
brainly.com/question/12959377
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9 square units.
the area of a triangle is 1/2 base x height.
the base of this triangle is the line RS which is 6 units long, and the height is the dashed line, which is 3 units long. 1/2 x 6 x 3 = 9
Answer:
x= -4
y= -8
This will be the solution
