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2 years ago

What is the distance between the points (2,5) and (5,7)?

Mathematics

1 answer:

choli [55]2 years ago

8 0

Square root of 10
You can find it from the right triangle

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Calculate the length b to two decimal places.

Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

$c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta$

Upon substituting our given values in the formula we will get,

$(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)$

$(AC)^{2}=225+144-360\text{ cos}(106)$

$(AC)^{2}=369-360(-0.275637355817)$

$(AC)^{2}=369+99.22944809412$

$(AC)^{2}=468.22944809412$

Upon taking square root of both sides of our equation we will be get,

$AC=\sqrt{468.22944809412}$

$AC=21.6386101238993629\approx 21.64$

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0

3 years ago

What is the inverse of f(x) = (5x+2)^2 for x > -2/5

Levart [38]

Answer:

it should be -2/5 or $\frac{\sqrt{x} }{5}$

Step-by-step explanation:

4 0

2 years ago

Which description best fits the graph

Masteriza [31]

Decreasing then increasing, y goes down then y goes back up

7 0

3 years ago

Read 2 more answers

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

makkiz [27]

Answer:

Step-by-step explanation:

$x + 2y + 3z = 12$

$z=\frac{12-x-2y}{3}$

Volume = $V=f(x,y) = xy(\frac{12-x-2y}{3} )$

find partial derivatives using product rule

$f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)$

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

x=0 or x+4y =12

Simplify to get y =2, x = 4

thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

D<0 only for (4,2)

Hence maximum volume is when x=4, y=2, z= 4/3

Max volume is = 4(2)(4/3) = 32/3

6 0

3 years ago

Write an equation in standard form of a line that passes through (4, 2) and is parallel to y = - 3/4 * x - 5 .

Bingel [31]

Answer:

y=2x+y-int

Step-by-step explanation:

If the line is parallet to the defined by the given equation the slope of the unknown line is m=2.

Use this value of slope to calculate the y intercept. 2 = ( 2 - y-int)/4 - 0)

THus, your equation is y = 2x + y-int

5 0

2 years ago