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Dafna11 [192]
3 years ago
5

Tim draws a series of patterns pattern 1

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

55 dots for pattern 10

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+10 = 5*10+5 = 55

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Given ƒ(x) = 8x + 25, find x when ƒ(x) = 9.<br> A) −2 <br> B) −1 <br> C) 0 <br> D) 2
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A) -2

9=8x+25
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Slav-nsk [51]

Answer and Step-by-step explanation:

This is negative slope (or a downwards negative slope).

When the slope is negative, the line goes from right to left from top to bottom.

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What shape is in the interior of these four<br> lines? Classify it.
Airida [17]

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3 years ago
Find the length of the third side. If necessary, round to the nearest tenth
Lilit [14]

\huge\bold{Given:}

Length of the base = 8

Length of the hypotenuse = 17

\huge\bold{To\:find:}

The length of the third side ''x".

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\purple{x\:=\: 15}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

\longrightarrow{\blue{}} {x}^{2} + (8)² = (17)²

\longrightarrow{\blue{}} {x}^{2} + 64 = 289

\longrightarrow{\blue{}}  {x}^{2} = 289 - 64

\longrightarrow{\blue{}}  {x}^{2} = 225

\longrightarrow{\blue{}}  x = \sqrt{225}

\longrightarrow{\blue{}}  x = 15

Therefore, the length of the missing side x is 15.

\huge\bold{To\:verify :}

\longrightarrow{\green{}} (15)² + (8)² = (17)²

\longrightarrow{\green{}} 225 + 64 = 289

\longrightarrow{\green{}} 289 = 289

\longrightarrow{\green{}} L.H.S. = R. H. S.

Hence verified.

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3 years ago
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Phoenix [80]

Hello there,

The <em>answer is </em>A' (-3,2).

<h3>Step-by-step explanation:-</h3>

From the image shown on the xy-plane, the coordinate of point A is at (3,-2).

The rule for rotation by 180° about the origin is (x,y)→(-x, -y), where (x,y) is the coordinate of image and (-x, -y) is the coordinate of the resulting pre-image.

Given the coordinate point A(3,-2), if this coordinate is rotated 180°, the resulting point A' will be located at (-3,-(-2)) = (-3,2).

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