Find the distance d. Round your answer to the nearest tenth. Show the steps to solve.

Mathematics

1 answer:

Marina86 [1]2 years ago

7 0

Answer: $\sqrt{29}$

Step-by-step explanation: d is length of a hypotenuse in triangle. Use Pytago theorem d = $\sqrt{2^{2}+5^{2} } =\sqrt{29}$

You might be interested in

Find the equation of the line that passes through points a and b

Blizzard [7]

Answer:

y - 7 = 2(x - 1)

Step-by-step explanation:

Going from (-3, -1) to (1, 7), x increases by 4 and y by 8. These numbers are the 'run' and 'rise' of the line, respectively. Thus, the slope of the red line is m = rise/run = m = 8/4 = 2.

Using the point-slope formula and the point (1, 7), we get:

y - 7 = 2(x - 1)

6 0

2 years ago

Find the equation of the axis of symmetry and the coordinates of vertex of the functions =2x^2+4x-3

SVEN [57.7K]

Hello,

Find the equation of the axis of symmetry is like find the maximum or minimum point of this function.

$f(x)=2x^2+4x-3\\\\\alpha=-\dfrac{b}{2a}=-\dfrac{4}{4}=-1\\\\$

The equation of the axis of symmetry is then : $x=-1$

$\beta=f(\alpha)=2(-1)^2+4(-1)-3=2-4-3=-5$

Coordinates of vertex : $(\alpha,\beta)=(-1;-5)$