ANSWER
45.6cm to the nearest tenth.
EXPLANATION
The diagonal of the rectangular painting is 62cm.
The height of the painting is 42 cm.
The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.
From the Pythagoras Theorem,





The width of the painting is 45.6cm to the nearest tenth.
ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :

We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.

This simplifies to,


Hence the image is (2,2)
Answer:
15 cups of flour
Step-by-step explanation:
if the vanilla is going from 2 - 6 then it is being multipled by 3. Therfore you should multiply the flour (5) by 3, which makes the total flour to be 15 cups.
Answer:
(-15, 13)
Step-by-step explanation:
-3(8x + 9y = -3)
4( 6x + 7y = 1)
-24x - 27y = 9
24x + 28y = 4 (add both equations)
y = 13
6x + 7*13= 1
6x + 91= 1
6x = 1 -91
x = -91/6
x = -15