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Olin [163]
2 years ago
7

Find the length of side AB A) 15 units B) 8.1 units C) 4 units D) 10 units

Mathematics
1 answer:
Ierofanga [76]2 years ago
6 0
First, find the missing leg of ΔBCD (line BD). Using the Pythagorean Theorem, subtract (5^2)-(3^2) [25-9], and you get 16. Find the square root of 16, and you get <em>4</em> for line BD. Now, you can find AB. Add (7^2)+(4^2) [49+16], and you get 65. Now, since 65 isn't a perfect root, just use √(65)

Answer: Line AB equals √(65).
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If a line perpendicular to 2y=x+5 that passes through (2,1) using the slope- intercept form
arlik [135]
Slope of  2y = x + 5:-
This is y = 0.5 x + 2.5  in slope intercept form so its slope = 0.5

Slope of the line perpendicular to it = -1 / 0.5 = -2

it passes through (2 , 1) so we have

y- 1 = -2(x - 2)
y = -2x + 4 + 1

The answer is y = -2x + 5

4 0
3 years ago
Show that: (3x-1)(x+5)(4x-3) = 12x^3 + 47x^2 - 62x +15 for all values of x. (3x-1)(x+5)(4x-3) = (?????)(4x-3) Expand into 6 term
lara31 [8.8K]
<span>(3x - 1)( x + 5)(4x - 3) = 12x^3 + 47x^2 - 62x +15 </span>
<span>(3x^2 – x + 15x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>(3x^2 + 14x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>12x^3 – 9x^2 + 56x^2 – 42x – 20x + 15 = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>12x^3 – 47x^2 - 62x + 15 = <span>12x^3 + 47x^2 - 62x +15 </span></span>

<span> </span>

8 0
3 years ago
Read 2 more answers
Pls help me I kinda don’t get it.
suter [353]
A). Pi m

Explanation:

Arc length formula:

Arc length = (Ø/360°) * 2*Pi*r
Ø = given angle (degrees)
r = radius

Plug given numbers in:

(45°/360°)* 2* Pi * 4
This will give you the answer of Pi
4 0
3 years ago
Equation of a line
Arada [10]

Answer:

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Step-by-step explanation:

We are given points (5,-8) and (-5,4)

Slope = m = (y₂-y₁)/(x₂-x₁) = (-8-4/(5-(-5)) = -12/10 = -6/5

Y-intercept = b = (0,-2)

Final equation: y=-6/5x-2

3 0
3 years ago
Read 2 more answers
State whether the given set of angles form a triangle. Select all that apply.
Rainbow [258]

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the concept of Angle sum property of a triangle.

To form a triangle, all angles must sum exactly to 180°.

So the correct options are :-

1.) 86°, 53°, 41°

4.) 54°, 97° , 29°

5.) 33° , 90° , 57°

6 0
3 years ago
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