How many steel rods are in a staircase frame with 12 steps?

write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-inter

omeli [17]

Answer:

5y = -2x + 31

Step-by-step explanation:

Given equation:

y = $\frac{5}{2} x + 3$

Coordinate = (-7,9)

Unknown:

Equation of the line perpendicular = ?

Solution:

The slope - intercept format of a line is given as;

y = mx + c

where y and x are the coordinates

m is the slope

c is the y-intercept

y = $\frac{5}{2} x + 3$

From the given equation; slope is $\frac{5}{2}$

A line perpendicular will have a slope that is negative and the inverse of this;

slope of perpendicular line = $-\frac{2}{5}$

Since y= 9 and x = -7;

So;

9 = $\frac{-2}{5} x (-7)$ + C

9 = $\frac{14}{5}$ + C

C = 9 - $\frac{14}{5}$ = $\frac{31}{5}$

Now,

y = $-\frac{2}{5}$ x + $\frac{31}{5}$

mulitply through by 5;

5y = -2x + 31

3 0

3 years ago

M (slope) = b ( y - intercept) = x - intercept =

Soloha48 [4]

Answer:

Step-by-step explanation:

The line is parallel to the x axis, so its slope is 0

m = 0

the y intercept is -2.5

the line doesn’t intercept the x axis because is parallel to it

3 0

2 years ago

Please help me! And please no scam answers

Yuri [45]

Answer:

Average rate of change: $-3$

Step-by-step explanation:

Remember:

The average rate of change of a function over an interval $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$

Given:

$[a,b]=[1,7]$

$f(b)=f(7)$

$f(a)=f(1)$

Calculation:

$f(b)=f(7)=-(7)^2+5(7)+14=-49+35+14=-49+49=0$

$f(a)=f(1)=-(1)^2+5(1)+14=-1+5+14=4+14=18$

$\frac{f(b)-f(a)}{b-a}=\frac{0-18}{7-1}=\frac{-18}{6}=-3$

Therefore, the average rate of change of the function $g(x)=-x^2+5x+14$ over the interval $1\leq x\leq7$ is $-3$ .

6 0

2 years ago

(1.7 x 10^4) x (8.5 x 10 ^2)

vlabodo [156]

Answer:

144500

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

To determine how a city's residents feel about building a new youth center, a group considers surveying 50 random children at a

Novay_Z [31]

Answer:

This would most probably result in biased sample since only a specific part of the community is being surveyed that does not represent all of the community.

Step-by-step explanation:

A survey is being conducted to determine how a city's residents feel about building a new youth center.

They are considering to survey 50 random children at a local elementary school.

This would most probably result in biased sample since only a specific part of the community is being surveyed that does not represent all of the community.

Moreover, it is likely that the students of elementary school might not even have any interest in youth center so results would be biased.

Therefore, it is suggested to include a variety of samples that is surveying different age groups that covers all of the community.

8 0

2 years ago

Read 2 more answers