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lisabon 2012 [21]
2 years ago
5

Write as a product 60 + 6ab - 30b - 12a

Mathematics
1 answer:
Delvig [45]2 years ago
4 0

Answer:

6(a - 5)(b - 2)

Step-by-step explanation:

60 + 6ab - 30b - 12a

Factor out the common term 6:

= 6(10 + ab - 5b - 2a)

Rearrange:

= 6(ab - 2a - 5b + 10)

Factor:

= 6(a - 5)(b - 2)

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2.375 in expanded form
kari74 [83]

Answer:

2375^-3

Step-by-step explanation:

Move the decimal place from 2.375 to the back of the number so it should look like this, 2375.

Than move the decimal place back to its original spot and count the amount of spaces you move. Remember, if you move forward, your exponent should be negative. For example, if the problem is 6.321, you would move the decimal place to the back like this, 6321. And then move it back to where it originally was, 6.321, the amount of spaces I moved was 3 spaces and I moved forward so It would be 6.321^-3

6 0
3 years ago
Someone please help me make a proof for the bottom question
Lerok [7]

Answer:

DB = CA (Proved)

Step-by-step explanation:

Statement 1.

∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2

Reason 1.  

Given

Statement 2.

Between Δ DBM and Δ CAM,  

(i) DM = CM,

(ii) ∠D = ∠C  and  

(iii) ∠DMB = ∠CMA

Reason 2.

(i) given  

(ii) given and  

(iii) ∠ DMB = ∠1 + ∠AMB and  ∠CMA = ∠2 + ∠AMB

Since ∠1 = ∠2, so, ∠DMB = ∠CMA.

Statement 3.

Δ DBM ≅ Δ CAM

Reason 3.

By angle-side-angle rule.

Statement 4.

DB = CA

Reason 4.

Corresponding sides of two congruent triangles. (Answer)

7 0
3 years ago
9(8f+7s) use s=3 and f=2
Margarita [4]
The answer is 333. put the 3 and the 2 in the correct spots. then multiply 8 and 2 which is 16 then 7 and 3 which is 21. then add which is 37. you would have to multiply 37 and 9 and you would get 333.
8 0
3 years ago
find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024 and select the correct answer be
olasank [31]
Hello,

u_{1} =4\\
 u_{2} =4*q\\
 u_{3} =4*q^2\\
...\\

 u_{9} =4*q^8\\\\
==\textgreater\ 4*q^8=1024\\
==\textgreater\ q^8=256\\
==\textgreater\ q=2\mbox{( and there is a problem in the question) } \ or \ q=-2\\
if\ q=2 \ then\  \sum_{i=0}^{8}\ 4*(2)^i= 4*\dfrac{1-2^9}{1-2} =2044\\

if \ q=-2 \ then\ \sum_{i=0}^{8}\ 4*(-2)^i= 4*\dfrac{1-(-2)^9}{1+2} =684\\





Answer B (but see the problem)
7 0
3 years ago
Read 2 more answers
Expres each of the folowing as a single matrix.
Elden [556K]

Answer:

\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]

Step-by-step explanation:

If you have two matrices:

A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\and\\B=\left[\begin{array}{cc}e&f\\g&h\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}a+e&b+f\\c+g&d+h\end{array}\right]

We have:

A=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]\\and\\B=\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]

And we need to express as a single matrix:

A+B=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6+(-2)&-3+8\\10+3&-1+(-12)\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6-2&5\\13&-1-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]

The answer is:

\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]

It is expressed as a single matrix.

8 0
3 years ago
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