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Leni [432]
2 years ago
13

What is the product of (-a + 3)(a + 4)?

Mathematics
1 answer:
spayn [35]2 years ago
8 0

Answer: The product of (-a + 3)(a + 4) is:  -a^2-a+12

Step-by-step explanation:

(-a+3)(a+4) = -a*a-a*4+3*a+3*4

=-a^{2} -4a+3a+12

now just simply combine..

=-a^2-a+12

the answer is -a^2-a+12

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Convert base 10 273 to a base 12
Margaret [11]
The highest power of 12 that divides 273 (with remainder) is 12^2=144, and dividing gives

273=1(144)+129

Divide the remainder term by the next highest power of 12, 12^1=12.

129=10(12)+9

So 273_{10}=1a9_{12}, since

273=1\cdot144+10\cdot12+9\cdot1=1\cdot12^2+10\cdot12^1+9\cdot12^0
7 0
3 years ago
Which equation has a graph that is perpendicular to the graph of -x + 6y = -12?
serious [3.7K]

Answer:

c) 6x + y = -52  is required equation perpendicular to the given equation.

Step-by-step explanation:

If the equation is of the form    : y = mx  + C.

Here m = slope of the equation.

Two equations are said to be perpendicular if the product of their respective slopes is -1.

Here, equation 1 :  -x + 6y = -12

or, 6y = -12  + x

or, y = (x/6)  - 2

⇒Slope of line 1 = (1/6)

Now, for equation 2  to be  perpendicular:

Check for each equation:

a. x + 6y = -67       ⇒  6y = -67  - x

or, y = (-x/6)  - (67/6)      ⇒Slope of line 2 = (-1/6)

but \frac{1}{6} \times \frac{-1}{6}  \neq -1

b. x - 6y = -52   ⇒  -6y = -52  - x

or, y = (x/6)  + (52/6)      ⇒Slope of line 2 = (1/6)

but \frac{1}{6} \times \frac{1}{6}  \neq -1

c. 6x + y = -52    

or, y =y = -52  - 6x      ⇒Slope of line 2 = (-6)

\frac{1}{6} \times (-6)  =  -1

Hence, 6x + y = -52  is required equation 2.

d. 6x - y = 52  ⇒  -y = 52  - 6x

or, y = 6x   - 52      ⇒Slope of line 2 = (6)

but \frac{1}{6} \times 6  \neq -1

Hence,  6x + y = -52  is  the  only required equation .

3 0
3 years ago
Read 2 more answers
What is the sum of an 8-term geometric series if the first term is -11, the last term is 859,375, and the common ratio is -5?
NikAS [45]
Formula of the sum of the 1st nth term in a Geometric Progression:


Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)

Sum = (-11)[1-(-5⁸)] /[(1-(-5)]

Sum = (-11)(1- 390625)/(6)


SUM = 716,144
3 0
3 years ago
Just an answer and simple explanation! Thank you.
vazorg [7]

Answer:

15

Step-by-step explanation:

If CD and DE equal, then x+6 = 4x -21

So if you subtract x from both sides and plus 21 to both sides, that would be 3x = 27. Divide by 3 on both sides and you get 9.

Plug in x+6 with 9 and you get 15.

6 0
2 years ago
If y = 4x -1, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
Mila [183]

Step-by-step explanation:

umm the 2nd one?

Is this multiple choice?

7 0
3 years ago
Read 2 more answers
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