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Snezhnost [94]
3 years ago
11

The difference of eight and twice a number

Mathematics
1 answer:
Over [174]3 years ago
4 0

Answer:

8 - 2x

Step-by-step explanation:

Let x be the unknown number

difference is subtraction

8 - 2x

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What is the value of x?<br><br> Enter your answer in the box.<br> x =
GalinKa [24]

Answer:

x = 5

Step-by-step explanation:

Applying Pythagoras' identity to the right triangle

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = \sqrt{25} = 5

5 0
4 years ago
Х- а<br>x-b<br>If f(x) = b.x-a÷b-a + a.x-b÷a - b<br>Prove that: f (a) + f(b) = f (a + b)​
GenaCL600 [577]

Given:

Consider the given function:

f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}

To prove:

f(a)+f(b)=f(a+b)

Solution:

We have,

f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}

Substituting x=a, we get

f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}

f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}

f(a)=0+a

f(a)=a

Substituting x=b, we get

f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}

f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}

f(b)=b+0

f(b)=b

Substituting x=a+b, we get

f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}

f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}

f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}

f(a+b)=\dfrac{b^2-a^2}{b-a}

Using the algebraic formula, we get

f(a+b)=\dfrac{(b-a)(b+a)}{b-a}          [\because b^2-a^2=(b-a)(b+a)]

f(a+b)=b+a

f(a+b)=a+b               [Commutative property of addition]

Now,

LHS=f(a)+f(b)

LHS=a+b

LHS=f(a+b)

LHS=RHS

Hence proved.

5 0
3 years ago
Can someone smart with math help me with my latest question
vredina [299]

Answer:

Which one?

Step-by-step explanation:

6 0
3 years ago
Rozonda defines the diameter of a circle as a line segment passing through the center of the circle. Is Rozonda’s definition val
larisa [96]

Answer: Yes Rozonda's definition is valid

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
HELP!Write the equation of the line fully simplified slope-intercept form.
xxTIMURxx [149]
Find slope first
Two points: (-5,-2) and (5,4)
(4+2)/(5+5) = 6/10 = 3/5 slope
So far: y = 3/5x + b
Plug in any of the point
-2 = 3/5(-5) + b, b = 1
Final equation: y = 3/5x + 1
8 0
3 years ago
Read 2 more answers
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