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Aleksandr-060686 [28]
3 years ago
12

The sum of two numbers a and b is 7 and the difference between them is 2. What is the value of a x b ? Give your answer as a mix

ed number in its simplest form.
Mathematics
1 answer:
Andre45 [30]3 years ago
8 0

Answer:

45/4

Step-by-step explanation:

We can interpret the question to have two equation which can be solve simultaneously

a+b=7------------(1)

a-b=2------------(2)

From eqn(2) make a subject of formula

a=2+b--------(3)

Substitute the (3) into eqn(1)

a+b=7------------(1)

2+b+b=7

2b=7-2

2b=5

b=5/2

From equation (3) substitute value of b to find a

a=2+b--------(3)

a= 2+5/2

a=9/2

Then What is the value of a x b ?

9/2× 5/2

=45/4

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kipiarov [429]

Answer:

<h2>C) 12x + 9</h2>

Step-by-step explanation:

The distributive property: <em>a(b + c) = ab + ac</em>.

3(4x+3)=(3)(4x)+(3)(3)=12x+9

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3 years ago
What is the equation of the graphed line written in standard form? 2x – y = –4 2x – y = 4 y = 2x – 4 y equals StartFraction one-
svp [43]

Answer:

The answer is "2x-y=4"

Step-by-step explanation:

Given:

2x-y=-4\\2x-y=4\\y=2x-4\\y=\frac{1}{2}(x-4)\\

The Formula of Slope:

m=\frac{y_2-y_1}{x_2-x_1}

by replacing the (2,0) and (0,-4) coordinates in the above formula:

\to m= \frac{-4-0}{0-2}\\\\ \to  m= \frac{-4}{-2}\\\\ \to  m= \frac{4}{2}\\\\ \to m= 2\\\\

if point y intercepting in x then x=0, for this the value of x= 0 and c=-4.

Equation of the line:

\to  y=mx+c

apply m and c value in the above equation:

\to  y=2x-4\\

Subtract by 2x on both sides of the equation we get:

\to  y-2x= 2x-4-2x\\\\\to  y-2x=-4\\\\\boxed{\boxed{2x-y=4}}\\\\

5 0
4 years ago
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Simplify 4 to the 7th over 5 squared all raised to the 3rd power
alisha [4.7K]
<h2>Answer:</h2>

\left(\frac{4^{21}}{5^6}\right)

or

4 to the 21st over 5 to the 6th.

<h2>Step-by-step explanation:</h2>

First, we need to write our expression. Let's do it step by step:

<u>4 to the 7th:</u>

4^7

<u>5 squared:</u>

5^2

<u>4 to the 7th over 5 squared:</u>

\frac{4^7}{5^2}

<u>4 to the 7th over 5 squared all raised to the 3rd power:</u>

<u>\left(\frac{4^7}{5^2}\right)^3</u>

Using the law of exponents:

\left(\frac{4^{7\times 3}}{5^{2\times 3}}\right) \\ \\ \left(\frac{4^{21}}{5^6}\right)

Finally, the answer is 4 to the 21st over 5 to the 6th.

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Answer:

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1          -10  --> 1(-10) gives you -10

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adding these together -10 + (-1) = -11 which does not equal -9.

You could stop here and conclude that this is not factorable by inspection.

Another method: using the quadratic formula to find its roots.

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