Answer:
The image of the point is (1, 2)
Step-by-step explanation:
- If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)
- If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)
- If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)
Let us use the rules above to solve the question
∵ The point (-1, -2) is rotated 180° counterclockwise about the origin
→ By using the 2nd rule above change the signs of x and y coordinates
∴ Its image is (1, 2)
∴ The image of the point is (1, 2)
Answer: 24 pistachios cupcakes.
Step-by-step explanation:
We know that:
They recently sold 6 pistachio cupcakes and 8 other cupcakes.
Then we can model this with the ratio 6:8
This means that for each 6 pistachio cupcakes sold, they also sell 8 of another type of cupcakes.
Whit this info, if they sell 56 cupcakes, how many of them will be pistachio cupcakes?
Using the ratio above, we must find a number N such that:
N*6 + N*8 = 56.
N*(6 + 8) = 56
N*14 = 56
N = 56/14 = 4.
This means that:
out of the 56 cupcakes, 4*6 = 24 are pistachios cupcakes
4*8 = 32 are other cupcakes.
Then you should expect that 24 out of the 56 cupcakes are pistachios cupcakes.
Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation:
Answer:
The foot of the ladder is
10
feet away from the base of the wall.
Step-by-step explanation:
Answer:
Step-by-step explanation:
