2 years ago

For an equation of the form

Mathematics

1 answer:

Tema [17]2 years ago

6 0

Explanation is in the file

tinyurl.com/wtjfavyw

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Expanded form for 3,029,251

aliina [53]

Try this : <span>3x10^6 + 2x10^4 + 9x10^3 + 2x10^2 + 5x10 + 1</span>

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3 years ago

Read 2 more answers

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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3 years ago

Jane used a calculator to find 45% of 60. What number did Jane get?

WITCHER [35]

Answer:

27 is the answer.

Step-by-step explanation:

(45/100)*60

=27

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3 years ago

8. What expression is equivalent to 3y – 21?

disa [49]

3(y-7)

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3 years ago

Find MZP. The diagram is not to scale.

Ad libitum [116K]

Answer:

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Step-by-step explanation:

the angle that measures 130 is supplementary to the angle below, meaning the other angle must equal 50 degrees. This angle is an alternate interior angle with angle p, making them congruent.

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2 years ago