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3 years ago

1 Write the slope-intercept form of the equation of the line. -

Mathematics

1 answer:

Lana71 [14]3 years ago

3 0

Step-by-step explanation:

x=0 y=2

x=-2 y=0

y=mx+b

b=2

0= -2m+2

2m=2

m=1

y= x + 2

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Quick i need help so bad :(

Vanyuwa [196]

There are 4 triangles with base of 5 and height of 8.4

Area of triangle = 1/2 x base x height

Area of triangle = 1/2 x 5 x 8.4 = 21 m^2

Multiply by 4 = 21 x 4 = 84 m^2

Area of the base = length x width = 5 x 5 = 25 m^2

Total area = 84 + 25 = 109 m^2

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3 years ago

Plzzz hurry up and help me if A+B=45<br>prove that <br>(1+tanA)(1+tanB)=2

Solnce55 [7]

Answer:

see explanation

Step-by-step explanation:

If A +B = 45° then tan(A+B) = tan45° = 1

Expanding (1 + tanA)(1 + tanB)

= 1 + tanA + tanB + tanAtanB → (1)

Using the Addition formula for tan(A + B)

tan(A+B) = $\frac{tanA+tanB}{1-tanAtanB}$ = 1 ← from above

Hence

tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )

tanA + tanB + tanAtanB = 1 ( add 1 to both sides )

1 + tanA + tanB + tanAtanB = 2

Then from (1)

(1 + tanA)(1 + tanB) = 2 ⇒ proven

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3 years ago

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3 years ago

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lozanna [386]

The hinge theorem states that if two triangles have equivalent side lengths but different angles, the triangle with the larger angle is going to have a longer opposing side.

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3 years ago

Solve the following maximization problem graphically.

rjkz [21]

The maximized value of the function is (c) 119/2

<h3>Maximization problem</h3>

Maximization problems are used to determine the optimal solution of a linear programming model

<h3>Objective function</h3>

The objective function is given as:

$P(x,y) = 11x + 10y$

<h3>Constraints</h3>

The constraints are given as:

$22x + 2y \le 68$

$8x + 16y \le 68$

$x,y\ge 0$

<h3>Graph</h3>

See attachment for the graph of the constraints

From the graph, the optimal solution is: (2.83, 2.83)

So, the maximized value is:

$P(x,y) = 11x + 10y$

$P =11 \times 2.833 + 10 \times 2.833$

$P =59.493$

Approximate

$P =59.5$

Rewrite as a fraction

$P =\frac{119}{2}$

Hence, the maximized value of the function is (c) 119/2

Read more about maximization problem at:

brainly.com/question/16826001

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2 years ago

1 Write the slope-intercept form of the equation of the line. -​

1 Write the slope-intercept form of the equation of the line. -