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Komok [63]
3 years ago
6

Help please !!!!!!!!

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Answer:

ITS B

Step-by-step explanation:

I GOT IT ALL RIGHT

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A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the
Alexandra [31]

Answer:

length=53 in

width= 23 in

Step-by-step explanation:

First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:

h=6 in\\w=x-12\\l=x+30-12\\l=x+18\\\\V: volume of the box\\V=6*(x-12)*(x+18)\\2706=6x^{2}+36x-1296\\0=6x^{2}+36x-4002\\\\

We factorize the 6 and we get:

0=x^{2}+6x-667\\

Finally we solve for x, and we get the initial dimensions of the piece of metal:

x=23l=30+x=30+23=53 in\\w=x= 23 in

7 0
3 years ago
Phillip put together 981 pieces of a puzzle. About how many pieces did he put together? Round to the nearest thousand .
s344n2d4d5 [400]
The asnwer would be 1,000 puzzle pieces
7 0
3 years ago
Which expression is equivalent to the expression shown ? 2 (x + 5) +3 (x2 - 5x +13)
Gnesinka [82]
\text{Use the distributive property:}\\\\a(b+c)=ab+ac

2(x+5)+3(x^2-5x+13)=(2)(x)+(2)(5)+(3)(x^2)-(3)(5x)+(3)(13)\\\\=2x+10+3x^2-15x+39=3x^2-13x+49

3 0
3 years ago
Help please ‼️‼️‼️‼️
Andrei [34K]

Answer:

I got (y-7)=1/13(x+6) for point slope

and y=1/3x+13 for slope intercept form

double check me though I'm new at this

3 0
2 years ago
Find the value for x. Round your answer to the nearest hundredth. Area of the triangle = 8 ft^2​
zmey [24]

Answer:

x = 3.51

Step-by-step explanation:

Since, formula to determine the area f a triangle is,

Area = \frac{1}{2}(\text{Base})(\text{Height})

     8 = \frac{1}{2}(x + 1)(3x - 7)

16 = x(3x - 7) + 1(3x - 7)

16 = 3x² - 7x + 3x - 7

16 = 3x² - 4x - 7

0 = 3x² - 4x - 23

3x²- 4x - 23 = 0

By quadratic formula,

x = \frac{-b\pm \sqrt{b^{2}-4ac}}{2a}

x = \frac{4\pm \sqrt{(-4)^{2}-4(3)(-23)}}{2(3)}

x = \frac{4\pm \sqrt{292}}{6}

x = \frac{4\pm 17.09}{6}

x = 3.51, -2.18

But the length of sides can't be negative.

Therefore, x = 3.51 will be the answer.

8 0
2 years ago
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