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3 years ago

Gavin bought 5 yards of fabric for his project how many inches of fabric did Gavin Buy

Mathematics

2 answers:

Aloiza [94]3 years ago

4 0

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ There are 180 inches in 5 yards.

1 yd = 36 in

36 x 5 = 180

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

Romashka [77]3 years ago

3 0

Answer:

180 inches

Step-by-step explanation:

There are 36 inches in one yard

36 times 5 is 180

Gavin has 180 inches of fabric

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Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15

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Answer:

The vertex of this parabola, $(-2, 3)$ , can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

$g(x) = a\, (x - h)^2 + k$ ,

where $a$ , $h$ , and $k$ are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at $(h,\, k)$ .

The vertex form can be expanded to obtain:

$\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}$ .

Compare that expression with the given equation of this parabola. The constant term, the coefficient for $x$ , and the coefficient for $x^2$ should all match accordingly. That is:

$\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right.$ .

The first equation implies that $a$ is equal to $3$ . Hence, replace the " $a\!$ " in the second equation with $3\!$ to eliminate $\! a$ :

$(-2\times 3)\, h = 12$ .

$h = -2$ .

Similarly, replace the " $a$ " and the " $h$ " in the third equation with $3$ and $(-2)$ , respectively:

$3 \times (-2)^2 + k = 15$ .

$k = 3$ .

Therefore, $g(x) = 3\, x^2 + 12\, x + 15$ would be equivalent to $g(x) = 3\, (x - (-2))^2 + 3$ . The vertex of this parabola would thus be:

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3 years ago

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ivanzaharov [21]

Answer:

Step-by-step explanation:

Since it's at the same time of the day, the ratio between the height of the person and the shadow they cast will stay the same. So the man's height to shadow ratio is 6:8 = 3:4. The son's height to shadow ratio would be the same so x:4 = 3:4 therefore his height is 3 feet.

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3 years ago

The value of (1-w) (1 -w^2), where w is the cube root of a complex number is

NeX [460]

Answer:(1-w) (1-w*2)

=1-w*2-w+w*3

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Step-by-step explanation:

at first we should multiply them with each other

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Zarrin [17]

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<h3>What is a function?</h3>

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We have:

y represents the number of miles a motor car has left to go in the race

x represents the number of laps completed by the motor car

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The total number of miles:

y = 2.5x + 500 (because 500 is the constant)

Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.

Learn more about the function here:

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antiseptic1488 [7]

Answer:

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