(-3,4)(-6,-1)
The easy way
look at the y's = 4 and -1 the difference is 5 now /2 = 2.5
so the y midpoint is 2.5 from each point or 1.5
look at the x's = -3 and -6 the differebce is 3 now /2 = 1.5
so its 1.5 from each point or -4.5
so midpoint is (-4.5, 1.5) or (-9/2, 3/2) or C
the formula way:
for x
x1+x2/2
-3+-6/2
-9/2 (which is -4.5)
for y
y1+y2/2
4+-1/2
3/2 (which is 1.5)
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Question
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Multiply the constant: 12 x (-5/6)
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Multiply the x (we add the power together when we multiply)
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Answer: -10x⁷y²---------------------------------------------------------------------------------------
Convert the denominator of the first two fractions to 24 since 3 and 8 can fit into 24.
3/8=9/24
2/3=16/24
Now add them together.
9/24+16/24=25/24
Next add the second two fractions 9/24 and 16/24.
9/24+16/24=25/24
Since all fractions equal 25/24, the equation was true!
Hope this helps!
Answer:

Step-by-step explanation:
Given

Solving (a): Possible union elements
This is the represented by element with the largest number of the sets
i.e.

Solving (b): Possible intersection elements
This is the represented by element with the least number of the sets
i.e.

Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.