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zloy xaker [14]
3 years ago
12

Evaluate the given expression if x = 25, y = 10, w = 11, and z = 18. (see the image)

Mathematics
2 answers:
hammer [34]3 years ago
8 0

Answer:

D

Step-by-step explanation:

So we have the expression:

(x-y)^2+10wz

And we want to evaluate it when x=25, y=10, w=11, and z=18.

So, substitute these values for the variables:

=(25-10)^2+10(11)(18)

First, subtract within the parentheses:

=(15)^2+10(11)(18)

Square 15:

=225+10(11)(18)

Now, multiply the terms on the right. 10 times 11 is 110:

=225+110(18)

Multiply:

=225+1980

Finally, add:

=2205

So, our answer is D.

And we're done!

Brrunno [24]3 years ago
6 0
The answer will be 2,205
(25-10)^2+10*11*16=2,205

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Two similar triangles have corresponding sides measuring 3 cm and 7 cm determine the ratio of their respective areas
Scrat [10]
If two similar triangles have side lengths 3cm and 7cm then we can determine that the scale factor for the lengths is: 7/3

Now, we have to work out the area scale factor !

This is simple, since area is given in cm² then all we have to do is square our original scale factor!

So,

7/3² = 49/9

So, we can say that the ratio of the area would be:

x : 49/9x

Hope this helps! <3
8 0
2 years ago
Simplify (3x − 8) + (2x + 5) − (4x − 8).<br> A) x − 11 <br> B) x + 5 <br> C) x + 21 <br> D) 9x + 5
lozanna [386]

Answer:

B

Step-by-step explanation:

3x-8+2x+5-4x+8

3x+2x-4x    -8+5+8

     x        +        5      

x+5

6 0
2 years ago
Read 2 more answers
Resolve into partial fractions<br><br>​
lisabon 2012 [21]

Answer:

See below

Step-by-step explanation:

1)

\frac{11 + x}{(2 - x)(x - 3)}  =  \frac{A}{2 - x}  +  \frac{B}{x - 3}  \\  \\  \therefore \:  \frac{11 + x}{(2 - x)(x - 3)}  =  \frac{A(x - 3) +B(2 - x) }{(2 - x)(x - 3)}   \\  \\ \therefore \:  11 + x = Ax - 3A + 2B - Bx \\  \\  \therefore \: 11 + x = - 3A  + 2B  + Ax -  Bx\\  \\  \therefore \: 11 + x = - 3A  + 2B  + (A - B)x \\  \\ equating \: the \: like \: terms \: on \: both \: sides \\ A - B = 1 \\  \therefore \: A  =  B  +  1.....(1) \\  \\  -  3A  + 2B = 11....(2) \\  from \: eq \: (1) \: and \: (2) \\  - 3(B  +  1) + + 2B = 11 \\  \\ - 3B   - 3  + 2B = 11 \\  \\  - B = 11 + 3 \\  \\ B =  - 14  \\ A  =   - 14 +  1 =  - 13 \\  \\  \frac{11 + x}{(2 - x)(x - 3)}  =  \frac{ - 13}{2 - x}  +  \frac{ - 14}{x - 3} \\  \\ \frac{11 + x}{(2 - x)(x - 3)}  = -   \frac{ 13}{2 - x}   -  \frac{ 14}{x - 3}

2)

\frac{12x + 11}{x^2 +x - 6}

=\frac{12x + 11}{x^2 +3x-2x - 6}

=\frac{12x + 11}{x(x +3) -2(x +3)}

\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{12x + 11}{(x +3) (x - 2)}

\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{A}{(x +3)}+\frac{B}{(x - 2)}

\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{A(x-2)+B(x+3)}{(x-2)(x+3)}

\therefore 12x + 11 = A(x-2)+B(x+3)

\therefore 12x + 11 = Ax-2A+Bx+3B

\therefore 12x + 11 = Ax+Bx-2A+3B

\therefore 12x + 11 = (A+B) x-2A+3B

Equating like terms on both sides:

A + B = 12\implies A = 12-B... (1)

- 2A + 3B = 11... (2)

Solving equations (1) & (2), we find:

A = 5, B = 7

\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{5}{(x +3)}+\frac{7}{(x - 2)}

3 0
3 years ago
Plz answer..........
Jobisdone [24]

Answer:

2210.6 m^3

Step-by-step explanation:

Volume of a cylinder is \pi r^2h

V=(3.14)(8)^2(11)\\\\=(3.14)(64)(11)\\\\=2210.56

they want to the nearest tenth, so ≈ 2210.6

6 0
2 years ago
D. 240 in. 2. What is the surface area of this rectangular pyramid in
a_sh-v [17]

Surface area of a rectangular pyramid = A + 1/2 p s

Where:

A = area of the base

p = perimeter of the base

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SA = 32 + 1/2 * 24 * 5 = 92 in2

6 0
1 year ago
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