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4 years ago

Evaluate the expression when m=8 and n=4 9m+n

Mathematics

2 answers:

Savatey [412]4 years ago

7 0

Look at the attached picture

Hope it will help you...

Good luck on your assignment

~pragya

11Alexandr11 [23.1K]4 years ago

6 0

Answer:

Step-by-step explanation:

9(8)+4=76

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If f(x)=5x^3 and g(x)=x+1,find(f*g)(x)

natta225 [31]

Answer:

f * g)(x)=(5x^3)*(x+1)=5x^4 +5x^3

Step-by-step explanation:

7 0

3 years ago

Helppp please no links i give brainly-est just help UwU

Marta_Voda [28]

Answer:

igure it out based on the explanation

Step-by-step explanation:

do left to right first do the divishon on the left get and answer divide that by 8 then divide the answer by 2 then subtract it by 3!

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3 years ago

Find an equation of the plane with the given characteristics. The plane passes through the points (4, 3, 1) and (4, 1, -7) and i

Minchanka [31]

Answer:

$3x - 4y + z = 1$

Step-by-step explanation:

Given

$Point\ 1 = (4,3,1)$

$Point\ 2 = (4,1,-7)$

Perpendicular to $8x + 7y + 4z = 18$

Required

Determine the plane equation

The general equation of a plane is:

$a(x-x_1) + b(y - y_1) + c(z-z_1) = 0$

For $n =$

$(x_1,y_1,z_1) = (4,3,1)$

$(x_2,y_2,z_2) = (4,1,-7)$

First, we need to determine parallel vector $V_1$

$V_1 =$

$V_1$ is parallel to the required plane

From the question, the required plane is perpendicular to $8x + 7y + 4z = 18$

Next, we determine vector $V_2$

$V_2 =$

This implies that the required plane is parallel to $V_2$

Hence: $V_1$ and $V_2$ are parallel.

So, we can calculate the cross product $V_1 * V_2$

$V_1 =$

$V_2 =$

$n = V_1 * V_2$

$V_1 * V_2 =\left[\begin{array}{ccc}i&j&k\\0&2&8\\8&7&4\end{array}\right]$

The product is always of the form + - +

So:

$V_1 * V_2 = i\left[\begin{array}{cc}2&8\\7&4\end{array}\right]$ $-j\left[\begin{array}{cc}0&8\\8&4\end{array}\right]$ $+k\left[\begin{array}{cc}0&2\\8&7\end{array}\right]$

Calculate the product

$V_1 * V_2 = i(2*4- 8*7) - j(0*4- 8*8) + k(0*7 - 2 * 8)$

$V_1 * V_2 = i(8- 56) - j(0- 64) + k(0 - 16)$

$V_1 * V_2 = i(-48) - j(- 64) + k(- 16)$

$V_1 * V_2 = -48i +64j - 16k$

So, the resulting vector, n is:

$n =$

Recall that:

$n =$

By comparison:

$a = -48$ $b = 64$ $c = -16$

Substitute these values in $a(x-x_1) + b(y - y_1) + c(z-z_1) = 0$

$-48(x-x_1) + 64(y - y_1) -16(z-z_1) =0$

Recall that: $(x_1,y_1,z_1) = (4,3,1)$

So, we have:

$-48(x-4) + 64(y - 3) -16(z-1) =0$

$-48x + 192 + 64y -192 - 16z +16 = 0$

Collect Like Terms

$-48x + 64y - 16z = 0 - 192 + 192 - 16$

$-48x + 64y - 16z = -16$

Divide through by -16

$3x - 4y + z = 1$

Hence, the equation of the plane is $3x - 4y + z = 1$

4 0

3 years ago

Please find the area of this irregular shape

Genrish500 [490]

Answer: 10 sq units

Step-by-step explanation:

Area of triangle: 1/2 x b x h

1/2 x 2 x 2 = 2

Area of the left triangle is 2 sq units

1/2 x 4 x 2 = 4

Area of the right triangle is 4 sq units

Area of square: l x w

2 x 2 = 4

Area of square is 4 sq units

Area of figure: A of square + A of r tri. + A of left tri.

4 + 4 + 2 = 10

The area of the figure is 10 sq units.

6 0

3 years ago

Find volume with full working out thank you ;)

Alina [70]

Answer:

2110 cm³

Step-by-step explanation:

Volume = V1 + V2,

Where V1 is the volume of the pyramid, and V2 is the volume of half cylinder

V1 = ⅓×(Base area)×height

V1 = ⅓×(12.6×21.5)×8.5 = 767.55

V2 = ½×(pi×r²×h)

r = 12.6÷2 = 6.3

V2 = ½×(pi×6.3²×21.5) = 1340.415

Volume = V1 + V2

= 767.55 + 1340.415

= 2107.965

= 2110 cm³ (3 sf)

4 0

4 years ago