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Vesna [10]
3 years ago
8

The area of a rectangle is 6x^2-9x-15. And the length is (2x-5). Which expression best represents the rectangle’s width?

Mathematics
1 answer:
tester [92]3 years ago
4 0
<h2><u>AnswEr :</u> </h2>

The area of the rectangle is of the form 6x² - 9x - 15

Factoring the given expression,

\sf \:  {6x}^{2}  - 9x - 15 \\  \\  \leadsto \:  \sf \:  3\bigg( {2x}^{2}  - 3x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg( {2x}^{2}  - 5x + 2x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg((2x - 5)(x + 1) \bigg)

Length of the rectangle is 2x - 5

Thus,

\leadsto \:  \sf \: (2x - 5)(3x + 3)

<h3>The breadth of the rectangle is 3x + 3 </h3>
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
yan [13]

Answer:

  138.16 in²

Step-by-step explanation:

The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.

  SA = B + LA

  = πr² + (1/2)(2πrh) . . . . where h is the slant height

  = (πr)(r +h)

Filling in the numbers, you have ...

  SA = (3.14)(4 in)(4 in + 7 in) = 3.14×(44 in²) = 138.16 in²

7 0
3 years ago
Combine like terms . Please help me I am an vacation and I don't know how to do this
Georgia [21]
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8 0
2 years ago
Use synthetic substitution to find f (-5) for f (x) = x3 – 5x +2.
Sonbull [250]

Answer:

_5(_5)=25

25+2=27

3(_5)=_15

27_15=12

8 0
3 years ago
Read 2 more answers
X-y=6<br> 2x-3z=16<br> 2y+z=4<br><br> Solve the systems of equations.
Neko [114]

Answer:

Given System of equation:

x-y =6                                  .....,[1]

2x-3z = 16                           ......[2]  

2y+z = 4                              .......[3]

Rewrite the equation [1] as

y = x - 6                                .......[4]

Substitute the value of [4] in [3], we get

2(x-6)+z = 4

Using distributive property on LHS ( i.e,  a \cdot (b+c) =a \cdot b+ b \cdot c )

then, we have

2x - 12 +z =4

Add 12 to both sides of an equation:

2x-12+z+12=4+12

Simplify:

2x +z = 16                         .......[5]

On substituting equation [2] in [5] we get;

2x+z=2x -3z

or

z = -3z

Add 3z both sides of an equation:

z+3z = -3z+3z

4z = 0

Simplify:

z = 0

Substitute the value of z = 0 in [2] to solve for x;

2x-3(0) = 16

or

2x = 16

Divide by 2 both sides of an equation:

\frac{2x}{2} =\frac{16}{2}

Simplify:

x= 8

Substitute the value of x =8 in equation [4] to solve for y;

y = 8-6 = 2

or

y = 2

Therefore, the solution for the given system of equation is;  x = 8 , y = 2 and z =0

5 0
3 years ago
What is 5x+3y=-15 slope intercept form
muminat
Slope intercept form is y = mx + b
All we really have to do is rearrange our equation!
Subtract 5x from both sides
3y= -5x - 15 is your slope intercept form.
8 0
2 years ago
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