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3 years ago

12-22 plz help thanks

Mathematics

1 answer:

Kisachek [45]3 years ago

6 0

12-22 = -10 because know I'm right and it says I have to put more words so just look at the first part

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Given that the points (-1,6). (3,6), (3, 1), and (-1, 1) are vertices of a rectangle, how much shorter is the width than the len

Ksju [112]

Since the given coordinates are already in order,
then and two consecutive distances between the coordinates will give length and breadth,

Using distance formula,
$\sqrt{ {( - 1 - 3)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ { (- 4)}^{2} } \\ = \sqrt{16 } \\ = 4$
(we'll not consider the negative value since distances can't be negative)

Applying this again on 2nd and 3rd coordinates,
$\sqrt{ {(3 - 3)}^{2} + {(6 - 1)}^{2} } \\ = \sqrt{ {5}^{2} } \\ = 5$
(we'll not consider the negative value since distances can't be negative)

Since length's always gotta be greater than bredth
therefore,
the difference will be 5-4= 1 units

Hence width is 1 unit shorter than length.

Note: Unit used is "unit/s"

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3 years ago

What is 27/4 as a mixed number?

Helga [31]

$\frac{27}{4}=\frac{24+3}{4}=\frac{24}{4}+\frac{3}{4}=6+\frac{3}{4}=6\frac{3}{4}$

5 0

3 years ago

Read 2 more answers

Find two positive numbers whose difference is 30 and whose product is 2584.

kvasek [131]

Answer:

$38$ and $68$ .

Step-by-step explanation:

Let $x$ be the smaller one of the two number.

$x$ must be a positive integer. The other number would be $(x + 30)$ .

The question states that the product of the two numbers is $2584$ . In other words:

$x\, (x + 30) = 2584$ .

Rearrange this equation and solve for $x$ :

$x^{2} + 30\, x - 2584 = 0$ .

The first root of this quadratic equation would be:

$\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}$ .

Similarly, the second root of this quadratic equation would be:

$\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}$ .

Since the question requires that both numbers should be positive, $x > 0$ . Therefore, only $x = 38$ is valid.

Hence, the two numbers would be $38$ and $(38 + 30)$ , which is $68$ .

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3 years ago

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What is the volume of the cone?

Ne4ueva [31]

Volume = 3.14xradius squared x height so it’s 3.14 x 6x6 x8 = 904.32

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2 years ago

Which function below is the inverse of f(x) = x2 − 16?

slega [8]

$f(x) = x^{2} - 16$
$y = x^{2} - 16$
$x = y^{2} - 16$
$x + 16 = y^{2}$
$\±\sqrt{x + 16} = \sqrt{y^{2}}$
$\±\sqrt{x + 16} = y$
$\±\sqrt{x + 16} = f^{-1}(x)$

4 0

3 years ago