Thursday: -2 deg C
Friday morning, 1 deg C lower: -2 deg C - 1 deg C = -3 deg C
Friday evening: 3 deg C lower: -3 deg C - 3 deg C = -6 deg C
Answer: -6 deg C
Answer:
Step-by-step explanation:
. if every corresponding internal angles in both shapes are equal
. if all corresponding sides are equal or have same ratio.
more rules but depends on the shape also ( triangle, rectangle, hexagon,...)
Given the graph of y = 2x² is transformed into y = -2x² + 3.
For any function y = f(x), the transformation y' = -y = -f(x) reflects the graph across x-axis.
So it means that y = -2x² is the reflection of y = 2x² across the x-axis.
For any graph y = g(x), the transformation y' = y + k = g(x) + k shifts the graph 'k' units upward for all value of 'k' > 0.
So it means that y = -2x² + 3 is the shifted version of y = -2x² by '"3 units up".
Hence, option B and C are correct i.e. "reflection across x-axis" and "shift of 3 units up".
Answer:
1/8 of a cup of frosting on each cake
Step-by-step explanation:
To find the length of the altitude, we have to use the ratios of the similar sides.
Let the length of altitude=x
Ratio of sides:
![\frac{x}{3} = \frac{27}{x} \\ Cross \ multiply \\ x^{2} =81 \\ Take \ square \ root.\\ \sqrt{x^2}= \sqrt{81} \\ x=9 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B3%7D%20%3D%20%5Cfrac%7B27%7D%7Bx%7D%20%20%5C%5C%0ACross%20%5C%20multiply%20%5C%5C%0A%20x%5E%7B2%7D%20%3D81%20%5C%5C%0ATake%20%5C%20square%20%5C%20root.%5C%5C%0A%20%5Csqrt%7Bx%5E2%7D%3D%20%5Csqrt%7B81%7D%20%5C%5C%0Ax%3D9%20%5C%5C%20%20)
So length of altitude is 9 cm.
Answer: 9 cm