All categories

3 years ago

A line with a slope of – 5 passes through the points (3,n) and (4, – 5). What is the value of n?

2 answers:

5 0

Step-by-step explanation: To find n, plug all the given information into the slope formula, which is shown here: m = y₂ - y₁ / x₂ - x₁.

Since our slope or <em>m</em> equals -5, we start

by plugging a -5 in for <em>m</em> in our formula.

Now, y₂ - y₁ would be -5 - n and x₂ - x₁ would be 4 - 3.

So we have -5 = -5 - n/4 - 3.

First we would simplify 4 - 3 to get 1.

So in our next step we have -5 = -5 - n/1.

Now get rid of the fraction by multiplying both sides by 1

and since multiplying anything by 1 is itself, just cancel the 1.

So we have -5 = -5 - n.

Add 5 to both sides to get 0 = -n.

Divide both sides by -1 to get 0 = n.

So the value of n is 0.

masha68 [24]3 years ago

3 0

Answer:

n = 0

Step-by-step explanation:

slope = y2-y1/x2-x1

-5 -n / 4-3 = -5

-5 -n /1 =-5

-5 - n = -5

n = 0

You might be interested in

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

3 years ago

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

Nata [24]

Answer: $5x-3y=44$

Step-by-step explanation:

We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

$(y-b)=\dfrac{d-b}{c-a}(x-a)$

Standard form of equation of line = $Ax+By=C$

Given points = (7, -3) and (4, -8)

Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

$(y-(-3))=\dfrac{-8-(-3)}{4-7}(x-7)$

$(y+3)=\dfrac{-8+3}{-3}(x-7)$ [∵ (-)(-)=(+)]

$(y+3)=\dfrac{-5}{-3}(x-7)$

$(y+3)=\dfrac{5}{3}(x-7)$

$3(y+3)=5(x-7)$

$3y+9=5x-35$

$9+35=5x-3y$

$44=5x-3y$

Or $5x-3y=44$

Hence, the required equation :- $5x-3y=44$

4 0

3 years ago

In the city where sonya lives, it rains and average of 8.05 centimeters each month last year.About how many centimeters of rain

erik [133]

In total it rained 96.6cm that year but on average it rained 100cm that year.
You would multiply 8.05 times the #of momths which is twelve.

7 0

3 years ago

Can someone help me please

telo118 [61]

It's a reflection across the x axis, so the y intercept won't change (12)

f (x) = 3x + 12
|
\/
g(x) = -3x + 12

I MAY BE WRONG IM ONLY 80% SURE

8 0

2 years ago

Given the equation 2(3x − 4) = 5x + 6, solve for the variable. Explain each step and justify your process.

blagie [28]

2(3x-4) = 5x+6
First, expand the bracket.
6x-8=5x+6
Next, move the variables to the same side.
x-8=6
Move the -8 to the other side, change to +
x=6+8
x=14
Charlie’s solution is incorrect. When expanding the bracket, he changed the - to a +.

6 0

1 year ago