Can someone pls help me solved this problem! I need help help can someone help me I will mark you as brainiest! But plz help me!

Mathematics

1 answer:

Vilka [71]2 years ago

5 0

Answer:

The number is less than 3.5

Step-by-step explanation:

Let us break up and convert each individual phrase into its equivalent in an equation.

"Three time" is $3*$

"The difference of a number and three" is (3-x)

"Is greater than" is >

"The number decreased by five" is (x-5)

We can now put all of these parts together to get our equation

$3*(3-x)>(x-5)$

Now, we can simplify this and solve for x

$3*(3-x)>(x-5)\\\\9-3x>x-5\\\\14>4x\\\\\frac{14}{4} >x\\\\\\frac{7}{2}>x\\\\x$

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Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

Solution:

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$