PLEASE SOMEONE HELP ASAP

Answers

Answer 1

Answer: The line is 13 units long

Answer 2

Answer: Starting at R, moving to S, x increases by 5 and y increases by 12.

Applying the distance formula (which is also the Pyth. Thm.):

distance from R to S or vice versa = sqrt( 5^2 + 12^2) = sqrt( 169) = 13 (answer)

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If given f(x) = x 4 and g(x) = –2x2 3x – 1, what is (f – g.(x)?
a. (f –
g.(x) = –2x2 4x – 3
b. (f –
g.(x) = –2x2 – 2x 5
c. (f –
g.(x) = 2x2 2x 5
d. (f –
g.(x) = 2x2 – 2x 5

Answers

f(x) = x + 4
g(x) = -2x^2 + 3x - 1
(f - g)(x) = f(x) - g(x) = x + 4 - (-2x^2 + 3x - 1) = x + 4 + 2x^2 - 3x + 1 = 2x^2 - 2x + 5

Answer:

$2x^2-2x+5$

Step-by-step explanation:

Given,

$f(x)=x+4$

$g(x)=-2x^2+3x-1$

$(f-g)(x)=f(x)-g(x)$ ( Subtraction of two functions )

$=(x+4)-(-2x^2+3x-1)$ ( By substituting values )

$=x+4+2x^2-3x+1$ ( Distributive property )

$=2x^2-2x+5$ ( Combining like terms )

Hence,

$(f-g)(x)=2x^2-2x+5$

Option d is correct.

The Equation Of Line Q Is Y= 1/6 X-5 . Line R, Which Is Parallel To Line Q, Includes The Point 6,2 . What Is The Equation Of Line R?

Answers

Answer:

y = $(1)/(6)$ x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given line Q with equation

y = $(1)/(6)$ x - 5 ← in slope- intercept form

with slope m = $(1)/(6)$

• Parallel lines have equal slopes , then

y = $(1)/(6)$ x + c ← is the partial equation of line R

to find c , substitute the point (6, 2 ) for x and y into the partial equation

2 = $(1)/(6)$ (6) + c = 1 + c ( subtract 1 from both sides )

1 = c

y = $(1)/(6)$ x + 1 ← equation of line R

-2 + (-1/3) equals what?

Answers

Answer:

-2 $(1)/(3)$

Step-by-step explanation:

Final answer:

To evaluate -2 + (-1/3), subtract -1/3 from -2, which simplifies to -7/3.

Explanation:

To evaluate -2 + (-1/3), we need to add the two numbers together. When adding negative numbers, we can think of it as subtracting the numbers.

So, -2 + (-1/3) is the same as -2 - 1/3. To subtract fractions, we need to have a common denominator.
The common denominator of 2 and 3 is 6, so -2 - 1/3 is equal to -12/6 - 2/6.
Subtracting -12/6 - 2/6 gives us -14/6. But we can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2. So, -14/6 simplifies to -7/3.

Learn more about Addition of negative numbers here:

brainly.com/question/34274134

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Multiplayer choice pls help!!

Answers

$c^(2) = a^(2) + b^(2) let c = 2 and a = b = s:4 = s^(2) + s^(2) = 2 s^(2) 2 = s^(2) s = √(2)$

S.P. of 6 bananas is the same as the C.P. of 5 bananas. Find the gain or loss per cent.

Answers

Cost price of 5 bananas = Selling price of 6 bananas

So,

$CP \: of \: 1 \: banana = (1)/(5)$

$SP \: of \: 1 \: banana = (1)/(6)$

As, CP of 5 bananas = SP of 6 bananas.There will be a loss.

$loss\% = \frac{( (1)/(5) - (1)/(6)) * 100 } { (1)/(5) }$

$= ( (1)/(30) * 100 )/( (1)/(5) )$

$= (100)/(30) * (5)/(1) = (50)/(3)$

$loss= 16 (2)/(3) \%$

Two positive integers are 3 units apart on a number line. Their product is 108.Which equation can be used to solve for m, the greater integer?

A.m(m – 3) = 108
B.m(m + 3) = 108
C.(m + 3)(m – 3) = 108
D.(m – 12)(m – 9) = 108

Answers

Answer A is correct, numbers used in equation are (m) and (m-3).

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The perimeter of a rectangle swimming pool is 160 feet. The length of the swimming pool is four times its width . Find the dimensions of the swimming pool.

Factor: 36x^2-64thanks!