<span><span>If we have a point, (x1;y1)<span> and a slope, </span>m, here's the formula we </span><span>use to find the equation of a line: y - y1 =m( x - x1); where x1 = -2 ; y1 = 4 ; m = 5.
Then, y-4 = 5(x+2);
Finally, y-4 = 5x + 10 / +4
y = 5x + 14 ;
</span></span>
Answer:
8.9k
Step-by-step explanation:
We just have to add together the length of the three sides to find the perimeter of the triangle.
(1.8k-5)+(3.5+6.1k)+(k+1.5) = 1.8k-5+3.5+6.1k+k+1.5
Combine like terms.
1.8k<em>-5+3.5</em>+6.1k+k<em>+1.5</em> = 8.9k <em>+ 0 </em>
= 8.9k
Answer:
79°
Step-by-step explanation:
A triangle has 180° in it so 180 - 82 =98- 19=79
Using the z-distribution, it is found that the margin of error is of 0.059.
We are given the standard deviation for the population, hence the <em>z-distribution</em> is used.
<h3>What is the margin of error for a z-confidence interval?</h3>
It is given by:

In which:
is the population standard deviation.
In this problem, the parameters are:
.
- Confidence level of 0.90, hence, using a z-distribution calculator, the critical value is z = 1.645.
Then:



The margin of error is of 0.059.
You can learn more about the z-distribution at brainly.com/question/12517818
Volume = Area x Height. We are given Volume and Area, so plug in and solve for Height (Height = Volume/Area)
18in^3 = 4.5 in^2 x Height (divide both sides by 4.5) -> 4in = Height