Answer:
Step-by-step explanation:
A(-6, 2), B(6,-3) and C(-6, -3)
AB² = (x₂ - x₁)² + (y₂ - y₁)²
= ( 6 -[-6])² + ( -3 -2)²
= ( 6 + 6)² + ( -3 -2)² = 12² + (-5)² = 144 + 25 =169
AB = √169 = 13 units
BC² = ( -6 -6)² + ( -3 - [-3])² = (-6-6)² + (-3 +3)²
= (-12)² + 0 = 144
BC = √144 = 12 unis
CA² = (-6 - [-6])² +(-3-2)² = (-6 + 6)² + ( -3-2)²
= 0 + (-5)² = 25
CA =√25 = 5 units
length of the hypotenuse of a right triangle = 13units
3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).
Here, we are given four inequalities, let us check them one by one-
A. h + 6 > -3h + 12
⇒ 4h > 6
or h > 3/2
Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.
B. 7 ≥ d/3
⇒ d ≤ 21
Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.
C. 3(x - 2) < 18
x - 2 < 6
x < 8
Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.
D. 2y ≤ 14
y ≤ 7
Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.
Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Learn more about inequalities here-
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Answer:
<h2>
y = 4</h2>
Step-by-step explanation:
x + 2y = 10 ⇒ 2y - 10 = -x
-x + 4y = 14
2y - 10 + 4y = 14
6y = 24
y = 4
The answer is the first one
Answer:
4a: 1
4b: 6, -6
Step-by-step explanation:
4a. (3 - 5)= -2; (9 - 6)=3
(-2 + 3) = 1
4b. We aren't told which cards Jesse pick up, only that they didn't affect his total points. Therefore, the two cards have the same number, but opposite signs. We coluld pick any teo an an example: 6 and -6, or 4 and -4, etc. They don't affect his score since they ccancel each other with a result of zero.
