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tensa zangetsu [6.8K]
4 years ago
15

The endpoints of CD are C (4,6) and D(-1,-1). Find the coordinates of the midpoint M.

Mathematics
1 answer:
Elena-2011 [213]4 years ago
6 0

Answer:

M = (1.5, 2.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \frac{1}{2} (x₁ + x₂ ), \frac{1}{2} (y₁ + y₂ ) ]

Here (x₁, y₁ ) = C(4, 6) and (x₂, y₂ ) = D(- 1, - 1) , thus

midpoint = [ \frac{1}{2} (4 - 1) , \frac{1}{2} (6 - 1 ) ] = (0.5(3), 0.5(5) ) = (1.5, 2.5 )

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Full working out please ^^ for the first question , ty
sp2606 [1]

Answer:

E

Step-by-step explanation:

Given

y = 2x² - kx + 3

with a = 2, b = - k and c = 3

Since the curve touches the x- axis at one place then the roots are real and equal and the discriminant for this condition is

b² - 4ac = 0, that is

(- k)² - (4 × 2 × 3) = 0

k² - 24 = 0 ( add 24 to both sides )

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k = ± \sqrt{24} = ± 2\sqrt{6}

k = 2\sqrt{6} or k = - 2\sqrt{6} → E

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3 years ago
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AveGali [126]

Answer:

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Step-by-step explanation:

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2 years ago
Which facts could be applied to simplify this expression? Check all that apply.
lisov135 [29]

The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.

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D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.

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3 years ago
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What is the function rule of the line parallel to y = 2x + 7 that passes through the point (-3,5)?
kykrilka [37]

Answer:

y = 2x + 11

Step-by-step explanation:

Parallel means the two lines have the same slope. The slope = 2 because the two is in front of the x. Whatever number is in front of the x is the slope.

So far what you know is

y = 2x + b

The point (-3,5) is what you need to get b.

y = 2x + b

y = 5

x = - 3

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5 = -6 + b

b = 5 + 6

b = 11

============

Equation

y = 2x + 11

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3 years ago
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