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PolarNik [594]
3 years ago
11

Solve for m. 13m−23=113

Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0

Answer:

Exact form: 136/13

Decimal form: 10.46153846

Mixed number form: 10 6/13

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What is the value of the expression below when z = 6
Oduvanchick [21]

Answer:

81

Step-by-step explanation:

2z^2+2z-3

Using PEMDAS/BODMAS, we will have to do the exponent first, which is z^{2}.

Substitute the variable z with 6, since z = 6.

2(6^{2} )+2(6)-3

6^{2} =36.

Thus, we will get

2(36)+2(6)-3

Solve the multiplication next.

72+12-3

Finally, add/subtract the numbers:

84-3

81

7 0
3 years ago
Prove that: (12^13–12^12+12^11)(11^9–11^8+11^7) is divisible by 3, 7, 19, and 37. The answer should be like: x^b*3*7*19*37. Also
n200080 [17]

Answer:

Step-by-step explanation:

Given (12^13–12^12+12^11)(11^9–11^8+11^7),

(12^13–12^12+12^11)(11^9–11^8+11^7) =

[(12^12)12 – 12^12 + 12^11][(11^8)11 – 11^8 + 11^7)

[(12^12)(12 – 1) + 12^11][(11^8)(11 – 1) + 11^7] =

(12^12(11) + 12^11)(11^8(10) + 11^7) =

(12^11(12x11) + 12^11)(11^7(11x10) + 11^7) =

[(12^11)(12x11 + 1)][(11^7)(11x10 + 1)] =

[(12^11)x(11^7)](12x11 + 1)(11x10 + 1) =

[(12^11)x(11^7)](133 x 111) =

[(12^11)x(11^7)](133 x 111) =

[(12^11)x(11^7)](14763) =

[(12^11)x(11^7)](3x7x19x37)

From here, it is clear that the given number is divisible by 3, 7, 19 and 37.

6 0
3 years ago
Please help Need help
Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
   this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
8 0
3 years ago
Which could be the side lengths of a right triangle?
Vsevolod [243]

Answer:

B

Step-by-step explanation:

90+45+45=180

All triangles equal 180.

Its B because if one angle is 90° then the other angles will equal each other. It cant be 60° and 30° because they dont equal, so your final answer is B.

Hope this Helps!!! :)

5 0
3 years ago
Read 2 more answers
What is 2/5 divided by -1/2 minus 3/2
shutvik [7]

Answer:

-  \frac{23}{10}

Step-by-step explanation:

\frac{2}{5}  \div  \frac{ - 1}{2}  -  \frac{3}{2}

➡️ -  \frac{2}{5}  \times 2 -  \frac{3}{2}

➡️ -  \frac{4}{5}  -  \frac{3}{2}

➡️ -  \frac{23}{10}

5 0
3 years ago
Read 2 more answers
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