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3 years ago

Write an equation of a lime with the given slope and y-intercept. m=-5,b=-3

Mathematics

1 answer:

sergejj [24]3 years ago

3 0

Answer:

y = - 5x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

here m = - 5 and b = - 3, hence

y = - 5x - 3 ← equation of line

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3 years ago

If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is the area of the triangle?(1) |x| = y = 10(2) x = |y| = 1

Elanso [62]

Answer:

$10|y|$

Step-by-step explanation:

We have been given that the vertices of a triangle are A (5, 0), B (x, y) and C (25, 0). We are asked to find the area of the given triangle.

We will use area formula for triangle with vertices A, B and C as given below:

$|\frac{A_x(B_y-C_y)+B_x(C_y-A_y)+C_x(A_y-B_y)}{2}|$

Upon substituting the given coordinates of points A, B and C in above formula, we will get:

$|\frac{5(y-0)+x(0-0)+25(0-y)}{2}|$

$|\frac{5(y)+x(0)+25(-y)}{2}|$

$|\frac{5y+0-25y}{2}|$

$|\frac{-20y}{2}|$

$|-10y|$

$10|y|$

Therefore, the area of the given triangle would be $10|y|$ .

4 0

3 years ago

Find the exact values of the following,giving your answers as fractions

Vsevolod [243]

Answer:

(a) $3^{-2}=\frac{1}{9}$

(b) $4^{-3}=\frac{1}{64}$

Step-by-step explanation:

To find the exact value in fractions of the followings:

Exponents also called powers its a way of expressing a number multiplied by itself by a certain number of times.

Using $a^{-m}= \frac{1}{a^m}$ .......[1]

(a)

Fraction represents a part of a whole or more generally, any number of equal parts.

$3^{-2}$ = $\frac{1}{3^2}=\frac{1}{3\times 3}=\frac{1}{9}$ [ Using [1]]

(b)

$4^{-3}$ = $\frac{1}{4^3} =\frac{1}{4\times 4\times 4}=\frac{1}{64}$ [ Using [1]]

(c)

$2^{-6}$ = $\frac{1}{2^6} =\frac{1}{2\times 2\times 2\times 2\times 2\times 2}=\frac{1}{64}$ [ Using [1]]

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3 years ago

Write an equation of a lime with the given slope and y-intercept. m=-5,b=-3​

Write an equation of a lime with the given slope and y-intercept. m=-5,b=-3