Answer:
Step-by-step explanation:
Triangle P is mapped onto Q so P is the initial triangle that will transformed.
We can rotate counterclockwise 90° but we cannot do it about the origin (0,0) because the red point (5, 1) will end up at ( -1, 5) .
We see that the point (5, 1) ends up at ( -2, 4) so the center of rotation is lower than the origin.
The transformation is rotation of 90° about the point (0,-1)
Answer:
<u>66.22 </u>times 10=662.2
<u>4.03 </u>times 100=403
<u>0.108 </u>times 1000=108
Step-by-step explanation:
662.2 ÷ 10
403 ÷ 100
108 ÷ 1000
Answer:
The y-intercept in coordinate form is (0, 4.5) and represents the taxi pick-up fee. The equation is y=1.5x + 4.5.
Step-by-step explanation:
This question is asking for the slope and y-intercept of a linear equation. A linear equation makes a straight line based on a constant rate of change. For this problem, the cost per mile is the slope, while the independent variable 'x' is the number of miles and the dependent variable 'y' is the total cost. In order to first find slope, you need to use the two points given (7, 15) and (10, 19.5) to set up a change in y / change in x, or (19.5-15)/(10-7) or 4.5/3 which is 1.5. So the slope, or cost per mile is $1.50. To find the y-intercept (b), or the cost of the pick-up fee, simply fill in your equation y=1.5x + b with your other variables and solve for 'b'. So, 15 = (1.5 x7) + b. or 15 = 10.5 +b, subtract 10.5 from both sides of the equation to get b=4.5.
Answer:
CBD = 63 degrees
Step-by-step explanation:
To find CBD, we must first find the value of x. To do so, we use this equation since CBD and ABC equal 96 degrees:
(6x+27) + (7x-9) = 96
13x+18 = 96
13x+18-18 = 96-18
13x = 78
13x/13 = 78/13
x = 6
Now that we know the value of x, we factor it in to CBD to find its true value:
6x+27
6(6)+27
36+27
= 63 degrees
To check if this answer is correct, we can also find the value of ABC and see if the two values equal 96:
7x-9
7(6)-9
42-9
= 33 degrees
63 + 33 = 96
The answer is correct. CBD = 63 degrees and ABC = 33 degrees.
