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Slav-nsk [51]
4 years ago
9

Find the area of the following triangle:

Mathematics
2 answers:
alexira [117]4 years ago
8 0

Answer:

A = 15 cm^2

Step-by-step explanation:

The area of a triangle is found by

A = 1/2 bh

A = 1/2 (10) * 3

A = 15 cm^2

kodGreya [7K]4 years ago
5 0

Answer:

15 cm²

Step-by-step explanation:

area= 1/2*base*height

area= 1/2*10 cm*3 cm = 15 cm²

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Find the equation of The line perpendicular to Y= -2+3/5X passing through the points (3, -4)
Alex777 [14]

Answer:

y = -1\frac{2}{3} + 1

Step-by-step explanation:

The line (a) passing through point (3, -4) is perpendicular to line (b) whose equation is; y = -2 + \frac{3}{5}x

The slope of line (b) = \frac{3}{5}

For perpendicular lines, the product of their slopes = -1

So line (a) has a slope of: -1 ÷ \frac{3}{5} = -\frac{5}{3}

Taking another point (x,y) on line (a);

Slope = change in y ÷ change in x

\frac{y - -4}{x - 3} = -\frac{5}{3}

y + 4 = \frac{5}{3}(x - 3)

y = -\frac{5}{3}x + 5 - 4

y = -\frac{5}{3}x + 1

Finally,

y = -1\frac{2}{3} + 1

6 0
3 years ago
The slope of a line that passes through (-2,5) and (1,-7) in simplest form is
Masja [62]

Answer:

-4

Step-by-step explanation:

Use slope intercept form: \frac{y_2-y_1}{x_2-x_1}

\frac{-7-5}{1-(-2)}= \frac{-12}{3}= -4

8 0
3 years ago
Please solve and show your work: (-4m^9+2m^7-14m^6)÷2m^3
katrin2010 [14]
The first step for solving this expression is to write the division as a fraction. 
\frac{-4m^{9}+2 m^{7} -14 m^{6}   }{2} × m³
Factor out 2 from the numerator (top) of the fraction.
\frac{2(-2 m^{9} + m^{7}-7 m^{6} )  }{2} × m³
Reduce the fraction with 2.
(-2m^{9} + m^{7} - 7m^{6})m³
Lastly,, distribute m³ through the parenthesis to get your final answer.
-2m^{12} + m^{10} - 7m^{9}
Let me know if you have any further questions.
:)
4 0
3 years ago
The length of a rectangle is 5 times its width. If the length is decreased by 3 meters, and the width is increased by 10 meters,
adelina 88 [10]

Answer:

   The original rectangle had a width of 30 m and a length of 150 m.

Step-by-step explanation:

6 0
3 years ago
What is the equation of a line with slope = 10 and contains the point (4,3)? This should be done in slope-intercept form.
Marrrta [24]

Answer:

y = 10x-37

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 10x+b

Substitute the point into the equation

3 = 10*4+b

3 = 40+b

Subtract 40

3-40 = 40+b-40

-37 = b

y = 10x-37

7 0
4 years ago
Read 2 more answers
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