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3 years ago

The points (-9, u) and (-8, -2) fall on a line with a slope of 4. What is the value of u?

Mathematics

1 answer:

GalinKa [24]3 years ago

4 0

This should be the result

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Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about an axis lying in it

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3 years ago

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a line goes through the point(6,-2)and has a slope of -3 what is the value of a if the point (a,7) lies on the line

yaroslaw [1]

Answer:

The value of a is "3", to complete the coordinate point (3,7) on the line.

Step-by-step explanation:

We are given the slope of the line, and also one point through which the line passes. Therefore, we can find the actual equation of the line by using the slope-point form of the line:

$y-y_0=m(x-x_0)\\y-(-2)=(-3)(x-6)\\y+2=-3x+18\\y=-3x+18-2\\y=-3x+16$

Now, we need to find which value of "x" renders a y-value of "7", to complete the coordinate pair (a, 7) as requested. Therefore, we ask for the y-value in the previous equation to be "7", and solve for its associated x-value:

$y=-3x+16\\7=-3x+16\\7-16=-3x\\-9=-3x\\x=\frac{-9}{-3} \\x=3$

Therefore, x = 3

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3 years ago

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from the height of a wall if a ladder 10 metre long place along the wall and its foot is 2 metre away from the wall.

Ira Lisetskai [31]

Answer:

height of the wall = 9.79 m

Step-by-step explanation:

This form a right angled triangle.

Hypotenuse = length of the ladder = 10 m

Base = length from foot of ladder to wall.

Altitude = height of the wall

Pythagorean's theorem,

base² + altitude² = hypotenuse²

2² + altitude² = 10²

4 + altitude² = 100

altitude² = 100 - 4

altitude² = 96

altitude = √96 = 9.79 m

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2 years ago