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3 years ago

Solve for n: 21k – 3n + 9p > 3p + 12.

Mathematics

1 answer:

ycow [4]3 years ago

4 0

n < 7k + 2p - 4 not too sure but i think this is right

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Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

Explanation:

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$

The slope is $\frac{-5-1}{7+1}$ = $-\frac{2}{3}$

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of $-\frac{2}{3}$ is $\frac{3}{2}$

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

$-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}$

Thus, the equation becomes:

$y = \frac{3}{2} x - \frac{11}{2}$

7 0

3 years ago

Jenny can hike 5 kilometers in 30 minutes. What is Jenny’s average hiking speed in kilometers per hour?

adell [148]

Answer:

10 kilometers per hour

Step-by-step explanation:

hope this helps

5 0

2 years ago

3. A driver's path when diving off of a platform is given by h(t)=-5t^2+10t+20, where h(t) is the distance above water, in feet,

agasfer [191]

Answer:

3a.=20ft 3b.=1 second 3c.=3.25seconds

Step-by-step explanation:

Hello, Courtney!

h(t)=-5t^2+10t+20

20 would be the height so 3.a would be 20ft

3b. 25=-5t^2+10t+20

-5t^2+10t-5 then divide by greatest factor the answer would 1 second

3c. 0=-5t^2+10t+20 divide by greatest factor and would get 3.25 and -1.25 but can't have negative so the answer is 3.25.

I hope this helps

best you know who!

5 0

3 years ago

The table shows the proportional relationship between the time in hours (h) Sara babysits and the amount in dollars (a) Sara ear

USPshnik [31]

Answer:

Step-by-step explanation:

The table shows that Sara earns 4 dollars per hour. The equation shows that Abbey earns 5 dollars per hour.

I hope that helps. If there are any questions left, just comment:)

Please mark me brainliest (it gets you 10 points back btw)

3 0

3 years ago

They numbers 2,5 or ___ are numbers that would make 34,? 21 divisible by 3.

Nikitich [7]

Answer:

The numbers 2, 5 or 27

Step-by-step explanation:

The sum of those three numbers is 34. 2+5+27=34

Oh and 21 divided by 3 is 7

5 0

3 years ago