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2 years ago

A broken pottery shard found at an archaeological dig has a curved edge. Find the diameter of the

Mathematics

1 answer:

algol [13]2 years ago

5 0

Answer: 18 1/2 inches

Step-by-step explanation:

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Write the standard form of the equation of the circle with radius 4 and center (−7,−6).

olasank [31]

The equation of a circle is written as (x-h)^2 +(y-k)^2 = r^2

h is the x value of the center and k is the y value of the center and r is the radius.

Replace h, k and r with the given information:

(x- -7)^2 + (y - -6)^2 = 4^2

Simplify:

(x+7)^2 + (y+6)^2 = 16

4 0

2 years ago

What is the solution to the given inequality?

xenn [34]

Answer: x ≤3

Step-by-step explanation:

Your answer is correct

7 0

2 years ago

Find the equation of the parabola that passes through

valentinak56 [21]

so we have the points of (0,-7),(7,-14),(-3,-19), let's plug those in the y = ax² + bx + c form, since we have three points, we'll plug each one once, thus a system of three variables, and then we'll solve it by substitution.

$\bf \begin{array}{cccllll} \stackrel{\textit{point (0,-7)}}{-7=a(0)^2+b(0)+c}& \stackrel{point (7,-14)}{-14=a(7)^2+b(7)+c}& \stackrel{point (-3,-19)}{-19=a(-3)^2+b(-3)+c}\\\\ -7=c&-14=49a+7b+c&-19=9a-3b+c \end{array}$

well, from the 1st equation, we know what "c" is already, so let's just plug that in the 2nd equation and solve for "b".

$\bf -14=49a+7b-7\implies -7=49a+7b\implies -7-49a=7b \\\\\\ \cfrac{-7-49a}{7}=b\implies \cfrac{-7}{7}-\cfrac{49a}{7}=b\implies -1-7a=b$

well, now let's plug that "b" into our 3rd equation and solve for "a".

$\bf -19=9a-3b-7\implies -12=9a-3b\implies -12=9a-3(-1-7a) \\\\\\ -12=9a+3+21a\implies -15=9a+21a\implies -15=30a \\\\\\ -\cfrac{15}{30}=a\implies \blacktriangleright -\cfrac{1}{2}=a \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{and since we know that}}{-1-7a=b}\implies -1-7\left( -\cfrac{1}{2} \right)=b\implies -1+\cfrac{7}{2}=b\implies \blacktriangleright \cfrac{5}{2}=b \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-\cfrac{1}{2}x^2+\cfrac{5}{2}x-7~\hfill$

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3 years ago

Simplify each expression 4.4x + 6- 2y + 4

allochka39001 [22]

Answer:

4.4x−2y+10

Step-by-step explanation:

7 0

2 years ago

4.29*7.3 i need help

Amanda [17]

Answer:

<em>31.317 </em>

Step-by-step explanation:

6 0

2 years ago