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2 years ago

Find the distance between each pair of points (8,5) ,(-1,3)

Mathematics

2 answers:

Natalija [7]2 years ago

7 0

Answer:

d=9.220

Step-by-step explanation:

Damm [24]2 years ago

7 0

Answer:

sqrt(85)

Step-by-step explanation:

Use the distance formula.

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

d = sqrt[(-1 - 8)^2 + (3 - 5)^2]

d = sqrt[(-9)^2 + (-2)^2]

d = sqrt[81 + 4]

d = sqrt(85)

Answer: sqrt(85)

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Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y r

kirill [66]

Answer:

x (smallest to largest) = 0,45 ,55

y (smallest to largest) = 0,10,40

Step-by-step explanation:

(hours) Dinghy Rowboat Labor Available

Metal Work 2 3 120

Painting 2 2 110

Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.

So, total hours for metal work = $2x+3y$

So, total hours for Painting = $2x+2y$

So, equation becomes:

$2x+3y\leq 120$

$2x+2y\leq 110$

$x\geq 0$

$y\geq 0$

Plot the inequalities

Refer the attached figure

So, the vertices of the feasible region are (0,40),(45,10) and (55,0)

So, x values are 0 , 45 and 55

x represents the number of dinghies

So, x (smallest to largest) = 0,45 ,55

y values are 40,10,0

y represent the number of rowboats.

So, y (smallest to largest) = 0,10,40

3 0

3 years ago

Match the information on the left with the appropriate equation on the right.

solmaris [256]

Answer:

Step-by-step explanation:

1). Equation of a line which has slope 'm' and y-intercept as 'b' is,

y = mx + b

If slope 'm' = 1 and y-intercept 'b' = -3

Equation of the line will be,

y = x - 3

x - y = 3

2). Equation of a line having slope 'm' and passing through a point (x', y') is,

y - y' = m(x - x')

If the slope 'm' = 1 and point is (-1, 2),

The the equation of the line will be,

y - 2 = 1(x + 1)

y = x + 1 + 2

y = x + 3

x - y = -3

3). Equation of a line passing through two points $(x_1, y_1)$ and $(x_2,y_2)$ will be,

$y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)$

If this line passes through (-2, 3) and (-3, 4),

$y-3=\frac{(4-3)}{(-3+2)}(x+2)$

y - 3 = -1(x + 2)

y = -x - 2 + 3

y = -x + 1

x + y = 1

4 0

2 years ago

Write 3×3×3×3×5×5×5 in exponential form

Sedbober [7]

3( to the power of 4) times 5(to the power of 3)

7 0

3 years ago

Read 2 more answers

-4x + 5 > -5 please help me

masya89 [10]

Answer:

x<5/2

Step-by-step explanation:

hope this helps :)

5 0

3 years ago

Read 2 more answers

Find the percent increase from 275 to 561.

MakcuM [25]

Answer:

104%

Step-by-step explanation:

(275 × p) / 100 = 286

((275 × p) / 100) × 100 = 286 × 100

275p = 28600

275p / 275 = 28600 / 275

p = 104

Percent Increase = 104

7 0

2 years ago

Read 2 more answers