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3 years ago

What is the distance between the points (2, 1) and (14, 6) on a coordinate plane?

Mathematics

1 answer:

Lemur [1.5K]3 years ago

7 0

Answer:

Step-by-step explanation:

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A section of concrete pipe 30 m long has an inside diameter of 1.2 m and an outside diameter of 1.8 m. What is the volume of con

Zina [86]

To answer this question, you will use the formula given to find the volume of concrete.

V = 3.14 x 0.6^2 x 30

V = 33.912m³

The volume of concrete is approximately 33.912 m³.

6 0

3 years ago

Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 4, 7) and use it to approximate the number 4.022

miss Akunina [59]

Answer:

80.66

Step-by-step explanation:

$L\left( x \right) = f\left( a \right) + f'\left( a \right)\left( {x - a} \right)$

$f(x, y, z) = x^2+y^2+z^2$

Since we have three variables,

$L(x, y,z) = f(a, b,c) + f_x (a, b,c) (x - a) + f_y (a, b,c) (y - b) +f_z(a,b,c)(z-c)$

$f(4, 4, 7) = 4^2+4^2+7^2=81$

$f_x (a, b,c)=2x=2*4=8\\f_y (a, b,c)=2y=2*4=8\\ f_z(a,b,c)=2z=2*7=14$

Therefore:

$L(x, y,z) = 81+ 8(x - 4) + 8 (y - 4) +14(z-7)$

Using the above:

f(4.02, 3.99, 6.97) =81+ 8(4.02 - 4) + 8 (3.99 - 4) +14(6.97-7)=80.66.

The approximation of $4.02^2 + 3.99^2 + 6.97^2$ is 80.66000.

3 0

3 years ago

LAST QUESTION please just help me out please

Maru [420]

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6 0

3 years ago

Multiply: (5x − 2)(4x2 − 3x − 2)

fgiga [73]

Answer:

20x3 - 23x3 -4x+4

Step-by-step explanation:

3 0

3 years ago

Find the coordinates of the vertices of polygon H´J´K´L´ after polygon HJKL is dilated using the given scale factor. H(–1, –6),

alex41 [277]

Answer:

H' (-3, -18)

J' (3, -9)

K (-15, -3)

L = (15, -15)

Step-by-step explanation:

Given:

H(–1, –6), J(1, –3), K(–5, –1), and L(5, –5)

We know that polygons are HJKL relaxes using the scale factor 3. This means that, to find the coordinates of the vertices of the polygon H'J'K'L ', we need to multiply the coordinate system x and y coordinates of each vertex by a factor of 3 proportion as following:

H' = (-1*3, -6*3) = (-3, -18)

J' = (1*3 , -3*3) = (3, -9)

K = (-5*3, -1*3) =(-15, -3)

L = (5*3, -5*3) = (15, -15)

8 0

3 years ago