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3 years ago

David uses 2/3 yard of cloth to make a bag .which amounts are equivalent to 2/3 yard

Mathematics

1 answer:

IRISSAK [1]3 years ago

5 0

Im really not sure sorry

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Find the surface area of the shape.

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Answer:

268 m²

Step-by-step explanation:

8x26=208

3x10x2=60

208+60=268

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3 years ago

Solve the equation 6(2x+4)^2=(2x+4)+2 a x=-5/3 or -9/4

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x=5/3

Step-by-step explanation:

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2 years ago

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The three straight paths, , , and , meet each other at three points, A, B, and C. How do these points of intersection differ fro

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Step-by-step explanation:

I am sort. I have no idea

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3 years ago

16 times 3/3 is greater than or less than or equal to 16

galina1969 [7]

Less because 3×3=6 and 6 and 16 arent equal

8 0

3 years ago

Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

BaLLatris [955]

Answer:

$Vertex = (\frac{1}{2},\frac{7}{4})$

Step-by-step explanation:

Given

$f(x) = x^2 - x +2$

Required

The vertex

We have:

$f(x) = x^2 - x +2$

First, we express the equation as:

$f(x) = a(x - h)^2 +k$

Where

$Vertex = (h,k)$

So, we have:

$f(x) = x^2 - x +2$

--------------------------------------------

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

--------------------------------------------

$f(x) = x^2 - x +2$

$f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2$

$f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}$

Expand

$f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}$

Factorize

$f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}$

Factor out x - 1/2

$f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}$

Compare to: $f(x) = a(x - h)^2 +k$

$h = \frac{1}{2}$

$k = \frac{7}{4}$

Hence:

$Vertex = (\frac{1}{2},\frac{7}{4})$

8 0

3 years ago

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