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2 years ago

D square=3h+schange of subject formulamake h the leader

Mathematics

1 answer:

Ksju [112]2 years ago

7 0

Answer: h=(D²-s)/3

Step-by-step explanation: D² =3h+s

Subtract a from both sides of the equation

D²-s =3h+s-s

Simplifying,

D²-s =3h

Divide both sides by 3( to isolate 'h')

(D²-s)/3 =3h/3

Simplifying,

(D²-s)/3 =h

Hence, h= (D²-s)/3

Hope it helps!

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3 years ago

Linda purchased a birthday gift from Bed Bath and Beyond for her mother. After applying the

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2 years ago

Graph the line with a slope of 2/5 that goes through (3,1)

Triss [41]

Answer:

$y = \dfrac{2x}{5} - \dfrac{1}{5}$

Step-by-step explanation:

Given:

$\bullet \ \ \text{Slope of line:}\ \dfrac{2}{5} \\\\ \bullet \ \text{Passes through:} \ (3, 1)$

To determine the equation of the line, we will use point slope form.

Formula of point slope form:

→ y - y₁ = m(x - x₁)

Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.

Substitute the coordinates and the slope:

$:\implies y - 1 = \dfrac{2}{5} (x - 3)$

Simplify the R.H.S:

$:\implies y - 1 = \dfrac{2x}{5} - \dfrac{6}{5}$

Add 1 both sides:

$:\implies y - 1 + 1 = \dfrac{2x}{5} - \dfrac{6}{5} + 1$

Simplify the equation:

$:\implies y = \dfrac{2x}{5} - \dfrac{6}{5} + \dfrac{5}{5}$

$:\implies \boxed{y = \dfrac{2x}{5} - \dfrac{1}{5}}$

Graphing the line on a coordinate plane:

In this case, we are already given a point (3, 1). We can simply plot the y-intercept $[\bold{\frac{-1}{5} }]$ on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.