Answer:
An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.
An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.
Step-by-step explanation:
The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.
Answer:
6 ft^2
Step-by-step explanation:
If the object in question is a cube, then we could say the length is 1, the depth is 1 and the height is 1, in which case each side of the cube has an area of 1 ft^2.
There are 6 such sides, so the total surface area is 6 ft^2.
Next time please be explicit in naming the shape, either verbally or with a diagram.
Answer:
The area of the base is 8pi and the radius is 2sqrt(2)
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
3.47 = 3 sig. figs.
6.7 = 2 sig. figs.
Since these two numbers are being multiplied, you would round to the smallest number of sig. figs. of the two. In this case, it would be 2 significant figures.
3.47 * 6.7 = 23.249 (dont forget to round to 2 sig. figs. ) --> 23
