The solution set of the inequality 1 + 2y
1 answer:
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Answer:
3. D)
2. D)
1. B)
Step-by-step explanation:
3.
{y = 3x + 7
{y = x - 9
x - 9 = 3x + 7
-3x - 3x
____________
−2x - 9 = 7
+ 9 + 9
__________
−2x = 16
____ __
−2 −2
[Plug this back into both equations above to get the y-coordinate of −17];
__________________________________________________________
2.
{−4x + 3y = 12
{−2x + 3y = −18
−½[−4x + 3y = 12]
{2x - 1½y = −6 >> New Equation
{−2x + 3y = −18
_______________
1½y = −24
____ ____
1½ 1½
[Plug this back into both equations above to get the x-coordinate of −15];
__________________________________________________________
1.
{−10x - 3y = −18
{−7x - 8y = 11
−⅜[−7x - 8y = 11]
{−10x - 3y = −18
{2⅝x + 3y = −4⅛ >> New Equation
_________________
−7⅜x = −22⅛
______ _____
−7⅜ −7⅜
[Plug this back into both equations above to get the y-coordinate of −4];
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Answer:
9:20
Step-by-step explanation:
Given:
Surface area of shape A = 9 cm²
Surface Area of shape B = 16 cm²
Ratio of volume of shape A to B = 27:125
Required:
Find the ratio of the height of shape A to the height of shape C.
Ratio of surface area (A:B)² = ratio of linear measures (A:B)
Thus,
(A:B)² = (A:B)
(A/B)² = (A/B)
Take the square root of both sides:
Ratio of volume of shape B to C = 27:125
Thus,
(B:C)³ = 27:125
Take the cube root of both sides:
Therefore, ratio of lengths A:B:C =
3:4:C
A:3:5
To make them equivalent, we have:
9:12:C
A:4:20
Therefore, the ratio of the height of shape A to the height of shape C =
9:20