<u><em>Answer:</em></u>
The slope of the line is 77
<u><em>Explanation:</em></u>
We know the speed is constant and that the mile-marker location over time can be represented by a line. This means that the equation is linear.
<u>The slope can, therefore, be calculated as follows:</u>
where (x₁ , y₁) and (x₂ , y₂) are two points on the line
We are given that the two points (1, 123) and (3, 277) are two points in the line
<u>Substitute with them in the above equation to get the slope as follows:</u>
Hope this helps :)
Answer:
1188 in²
Step-by-step explanation:
The area of a parallelogram is the product of its base length and height.
A = bh = (36 in)(33 in) = 1188 in²
Answer:
17. 42
18. 12
19. 12
20. 12
Step-by-step explanation:
Simply substitute the given values into the variables. So if m = 6 and n = 2:
7m = 7(6) = 42
6n = 6(2) = 12
mn = (6)(2) = 12
3m - 6 = 3(6) - 6 = 18 - 6 = 12
Cool! So OK I'll take you through it.
You just need to take everything 1 step at a time, as you might already know.
First
3 to the second is 9
Second
The first part included like this 9*(3 to the third) which is 243
Third
The second part is included into the question like 243*(3 to the fourth) which is 243*81
Fourth
243*81 = 19,683
Your Answer
(3^2)*(3^3)*3^4) = 19,693
Hope That Helps and Correct Me If I'm Wrong!
Answer:
13 , 6.
Step-by-step explanation:
A equation is given to us and we need to find out the value of x . The given equation to us is ,
Cross multiply ,
Squaring both sides ,
Simplify the whole square ,
Add 3 and subtract x on both sides ,
Simplify ,
Split the middle term of the quadratic equation,
Take out common ,
Take out ( x -13 ) as common ,
Equate both factors to 0 ,
<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>x</u><u> is</u><u> </u><u>1</u><u>3</u><u> </u><u>or </u><u>6</u><u> </u><u>.</u>
