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3 years ago

7

What is the value of the slope of a line that passes through points (2,5) and (4,2)

2 answers:

Svetlanka [38]3 years ago

7 0

Answer:

-3/2

Step-by-step explanation:

We can find the slope of the line using

m = ( y2-y1)/(x2-x1)

= ( 2-5)/(4-2)

= -3/2

Alja [10]3 years ago

5 0

Answer:

-3/2

Step-by-step explanation:

Using the slope formula leaves you with this

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What is most likely the line of best fit for this scatter plot? Graph shows numbers from 0 to 10 at increments of 1 on the x axi

kolezko [41]

Answer:

Line B

Step-by-step explanation:

Line B would best fit the scatter plot because the dots aline most similar to how Line B does. If you were to look at the angle Line B is at, most of the dots line up in the way Line B does. Therefore, Line B best fits the scatter plot.

6 0

3 years ago

Read 2 more answers

Riley and Erik have earned a total of 135 tokens to buy items in the school store. The ratio of the number of tokens that Riley

lisabon 2012 [21]

Answer:

<em>Riley has 72 tokens</em>

Step-by-step explanation:

<u>System of Equations </u>

We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that

$x+y=135$

Solving for y

$y=135-x$

The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as

$\displaystyle \frac{x}{y}=\frac{8}{7}$

Or equivalently

$7x=8y$

Replacing y from the first equation

$7x=8(135-x)$

Operating

$7x=1080-8x$

Simplifying

$15x=1080$

$\boxed{x=72}$

Riley has 72 tokens

3 0

3 years ago

How do you simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%2B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B8%7D%20%2B%

blondinia [14]

The trick is to exploit the difference of squares formula,

$a^2-b^2=(a-b)(a+b)$

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

$(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2$

Whatever you do to the denominator, you have to do to the numerator too. So

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2$

Expand the numerator:

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}$

So we have

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2$

But √12 = √(3•4) = 2√3, so

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}$

7 0

3 years ago

Sally goes to the store and buys a jackhammer for $25. The store is running a discount of 18%. The store has a sales tax rate of

tamaranim1 [39]

Answer:

Jackhammer =$25

Discount= 18%

Final Price= $25*0.82*1.06 = $ 21.73

5 0

2 years ago

PLEASE HELP!!!!!<br> Combine the like terms to create an equivalent expression. 8k+5k

horsena [70]

Answer:

13k

Step-by-step explanation:

Given: $8k+5k$

Finding the equivalent expression.

We know the rule of addition is that adding two positive integers will give positive result or sum.

Now, lets find the equivalent expression of $8k+5k$ .

∴ $8k+5k= 13k$

Hence, the required equivalent expression is 13k.

3 0

3 years ago