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wolverine [178]
3 years ago
7

Work out the height of a triangle with base b= 7.7mm and area a=164.78mm2

Mathematics
1 answer:
solong [7]3 years ago
5 0

Answer:

21.4 mm

Step-by-step explanation:

area ÷ base = height

164.78 mm^2 ÷ 7.7 mm

21.4 mm

Check:

base • height = area

7.7 mm • 21.4 mm = 164.78 mm^2

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A pair of perpendicular lines intersect at the point (5,9). Write
maw [93]

Answer:

The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18

Step-by-step explanation:

The coordinates of the point of intersection of the two lines = (5, 9)

The coordinates of a point on one of the two lines, line 1 = (-4, 4)

The slope of a line perpendicular to another line with slope, m = -1/m

Therefore, we have;

The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9

Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5

The equation of the line 2 is given as follows;

y - 9 = -9/5×(x - 5)

y - 9 = -9·x/5 + 9

y =  -9·x/5 + 9 + 9

y = -9·x/5 + 18

Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.

6 0
3 years ago
What is the coordinate j(2,-5) after a reflection in the line y=x?​
kenny6666 [7]

Answer:

(- 5, 2 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ), thus

(2, - 5 ) → (- 5, 2 )

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3 years ago
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Exponential growth because maths is good
3 0
3 years ago
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svp [43]

Answer:

p=-54

Step-by-step explanation:

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Answer:

The expression is not factorable with rational numbers.

Step-by-step explanation:

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