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Vinil7 [7]
3 years ago
11

PLEASE HELP!!

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

\leadsto make \: y \: subject \\  - 3y + 2x = 5y - 8 \\  - 3y - 5y =  - 2x - 8 \\ y( - 3 - 5) =  - 2x - 8 \\  - 8y =  - 2x - 8

divide through out by -8 :

{ \boxed{ \boxed{y =  \frac{1}{4} x + 1}}}

Answer is b

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Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from
Lapatulllka [165]
<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units</h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and      y_3=8

The area of a triangle is= \frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]

=|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|

=|-54| = 54 square units

The length of AC = \sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}

                          = \sqrt{(2-12)^{2} +(1-8)^2}

                         =\sqrt{149} units

Let the perpendicular distance from B to AC be = x

According To Problem

\frac{1}{2} \times  x \times \sqrt{149} = 54

⇔x =\frac{108}{\sqrt{149} } units

Therefore the perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units

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A school needs 175 light bulbs.Bulbs come in packages of 15.How many packages should the school order?
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Step-by-step explanation:

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