Answer:
The coordinate of pre-image is, B(3 , -9).
Step-by-step explanation:
Given an image point has coordinate B'(7, -4).
We have to find the coordinates of its pre-image:
The rule of translation on pre-image (x, y) is given by;

then;
(7, -4) = (x+4, y+5)
on comparison we have;
x+4 = 7 and y + 5 = -4
First solve for x;

Subtract 4 from both sides we have;
x + 4 -4 =7-4
Simplify:
x = 3
To solve for y;
y+5 = -4
Subtract 5 from both sides we get;
y = -9
Therefore, the coordinate of pre-image is, B(3, -9)
Answer:
a)7 cakes=£5.6
b)£2=4 drinks
c)£7.7
Step-by-step explanation:
a)5cakes=£4
1 cake=4/5=£0.8
7 cakes=£5.6
b)1 cake=3/6=£0.5
£2=4 drinks
c)(0.8×4)+(0.5×7)=£7.7
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Question
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17x³ + (3x + 8x³<span>)
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Remove the bracket
</span>-------------------------------------
17x³ + 3x + 8x³
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Combine like terms
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25x³ + 3x
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Take out common factor
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x(25x² + 3)
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Answer: x(25x² + 3)
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Answer:
464 feet
Step-by-step explanation:
<em>The Sine of the angle of inclination gives the increase in altitude.</em>
<em>This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e</em>
Sin Ф = Opposite ÷ Hypotenuse
Sin 5° = O ÷ 5328
0·08716 = O ÷ 5328
<em>Make </em>O<em> the subject and multiply every fraction by </em>5328
(0·08716/1 × 5328)= (O/5328 × 5328)
464·388 = O
∴ The increase in altitude is 464·388 feet
<em>This is supposed to be to the nearest foot so we round off</em>
464·388 becomes 464 feet