What is the equation of the line that passes through the points (5, 2) and (−5, 7)?

The population density of a city is 121 residents per square mile. There are exactly 4,205 that live in the city.

IrinaVladis [17]

Answer:

34.75 ( that's round to the nearest hundredth )

Step-by-step explanation:

do the math

8 0

3 years ago

Intercept from a table

gladu [14]

$\bf \begin{array}{ccll} x&y\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \boxed{14}&\boxed{-5}\\ 21&-3\\ \boxed{28}&\boxed{-1} \end{array}\impliedby \textit{we'll use two points to get the slope}$

$\bf (\stackrel{x_1}{14}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-5)}{28-14}\implies \cfrac{-1+5}{28-14} \\\\\\ \cfrac{4}{14}\implies \cfrac{2}{7} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{2}{7}(x-14) \\\\\\ y+5=\cfrac{2}{7}x-4$

now, to get the y-intercept, we simply set x = 0 and solve for y, and to get the x-intercept, we set y = 0 and solve for x.

$\bf \stackrel{\textit{y-intercept, x = 0}}{y+5=\cfrac{2}{7}(0)-4}\implies y+5=-4\implies y=-9\qquad \qquad \stackrel{y-intercept}{(0~,-9)}\\\\ -------------------------------\\\\ \stackrel{\textit{x-intercept, y = 0}}{(0)+5=\cfrac{2}{7}x-4}\implies 5=\cfrac{2x}{7}-4\implies 9=\cfrac{2x}{7}\implies 63=2x \\\\\\ \cfrac{63}{2}=x\implies 31\frac{1}{2}=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad \stackrel{x-intercept}{\left( 31\frac{1}{2}~,~0 \right)}$

8 0

3 years ago

Help me plz I don't understand this

KiRa [710]

Answer:

C) 6:1

Step-by-step explanation:

The second number must be a one. To do that, it would have to be multiplied by 4. That means we have to multiply the first number by 4 also:

3/2*4=6

So it’s 6:1

6 0

3 years ago

Consider the given statement. At least one gift in the bag is wrapped.

jasenka [17]

Answer:

The negation to the given statement "At least one gift in the bag is wrapped - true" is " At least one gift in the bag is not wrapped" - False

At least one gift in the bag is not wrapped - False
Not every gift in the bag is wrapped-True
Every gift in the bag is wrapped-False
None of the gifts in the bag are wrapped-False

Step-by-step explanation:

Given statement is At least one gift in the bag is wrapped is true

The negation to the given statement is " At least one gift in the bag is not wrapped" - False

<u>To determine whether the statement is a negation of the given statement is True or False :</u>

<h3> At least one gift in the bag is not wrapped - False </h3><h3> Not every gift in the bag is wrapped-True </h3><h3>Every gift in the bag is wrapped-False </h3><h3>None of the gifts in the bag are wrapped-False</h3>

4 0

3 years ago

Need help math question

lidiya [134]

My answer is 8 . Please check the answer.

5 0

3 years ago