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3 years ago

Point M is located at (4, 6) on a coordinate grid. Point M is translated 8 units to the left and 9 units down to create point M.

Mathematics

1 answer:

weqwewe [10]3 years ago

8 0

Answer:

Step-by-step explanation:

You can look at it like a right triangle being made with the vertical part being 9 and the horizontal part being 8, then you want to find the diagonal part. So that's the Pythagorean theorem

$\sqrt{8^2+9^2}=12.042$

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2 years ago

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3 years ago

Divya starts a painting her grandpa's kitchen at 8:15 a.m. She finishes 75 minutes later

Mila [183]

Answer:

9:30 she finishes

Step-by-step explanation:

815 plus 75 is 890

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890-60 is 830

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9:30

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2 years ago

(x + 2) is raised to the fifth power. The third term of the expansion is:

WITCHER [35]

(x+2)^5
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7 0

3 years ago

Sin^2(x/2)=sin^2x <br> Find the value of x

Veronika [31]

$\sin^2\dfrac x2=\sin^2x$
$\dfrac{1-\cos x}2=1-\cos^2x$
$1-\cos x=2-2\cos^2x$
$2\cos^2x-\cos x-1=0$
$(2\cos x+1)(\cos x-1)=0$
$\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}$ $\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}$

The first case occurs in $0\le x$ for $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ . Extending the domain to account for all real $x$ , we have this happening for $x=\dfrac{2\pi}3+2n\pi$ and $\dfrac{4\pi}3+2n\pi$ , where $n\in\mathbb Z$ .

The second case occurs in $0\le x$ when $x=0$ , and extending to all reals we have $x=2n\pi$ for $n\in\mathbb Z$ , i.e. any even multiple of $\pi$ .

6 0

3 years ago