Answer:
(4, - 6 )
Step-by-step explanation:
7x - y = 34 ( multiply through by - 1 )
- 7x + y = - 34 ( add 7x to both sides )
y = 7x - 34 → (1)
2x + 3y = - 10 → (2)
substitute y = 7x - 34 into (2)
2x + 3(7x - 34) = - 10
2x + 21x - 102 = - 10
23x - 102 = - 10 ( add 102 to both sides )
23x = 62 ( divide both sides by 23 )
x = 4
substitute x = 4 into (1)
y = 7(4) - 34 = 28 - 34 = - 6
solution is (4, - 6 )
You can think of midpoint as being an average.
Add the values and divide by 2.
(x1 + x2)/2, (y1 + y2)/2
(2 + 6)/2, (3 + 11)/2
(4,7) would be the midpoint
1/4t + 9 = 3
Subtract 9 from both sides
1/2t= -6
Divide 1/2 on both sides so that the only thing remaining on the left side is the variable t.
Final Answer: t= -12
An acute angle is an angle less than 90 degrees. So the answer would have to be less than 90 to support her claim. This eliminates 1 and 2. Because measure A and measure B are congruent they have to be the same angle which would eliminate number 3. So, the answer is 4
Answer:
f(-4) = ⅑
Step-by-step explanation:
Given
f(x) = 9(3)^x
Required.
Find f(-4)
f(x) = 9(3)^x
Substitute -4 for x
f(-4) = 9(3)^(-4)
Apply laws of indices
f(-4) = 9 * 1/(3⁴)
f(-4) = 9 * (⅓)⁴
f(-4) = 9 * 1/81
f(-4) = 9/81
Simplify
f(-4) = ⅑