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Amanda [17]
3 years ago
9

Consider the following equation, bh + hr = 25 when solving for h

Mathematics
1 answer:
Eva8 [605]3 years ago
4 0

Answer:

h = \frac{25}{b+r}

Step-by-step explanation:

Given

bh + hr = 25 ← factor out h from each term on the left side

h(b + r) = 25 ← divide both sides by (b + r)

h = \frac{25}{b+r}

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The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the li
Viefleur [7K]

Answer:

The equation of the line tangent to the graph of f at x = -1 is y = 7\cdot x +13.

Step-by-step explanation:

From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:

y = m\cdot x + b (1)

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - Intercept, dimensionless.

The slope of the tangent line at x = -1 is:

f'(x) = -3\cdot x +4 (2)

f'(-1) = -3\cdot (-1) +4

f'(-1) = 7

If we know that m = 7, x = -1 and y = 6, then the intercept of the equation of the line is:

b = y-m\cdot x

b = 6-(7)\cdot (-1)

b = 13

The equation of the line tangent to the graph of f at x = -1 is y = 7\cdot x +13.

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3 years ago
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A bag contains yellow marbles and blue marbles, 20 in total. The number of yellow marbles is 1 less than 2 times the number of b
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3 years ago
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