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4 years ago

How to calculate the gradient of a line

1 answer:

4 0

The gradient of a line can be calculated using the formula

$\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

where $(x_1,y_1)$ and $(x_2, y_2)$ are two points that the line passes through

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Choose the correct answer. two cars leave phoenix and travel along roads 90 degrees apart. if car 1 leaves 30 minutes earlier th

Elza [17]

The equation of movement for each car is given by:
Car 1:
d1 = v1 * t1
Substituting values:
d1 = 42 * 3.5
d1 = 147 miles
Car 2:
d2 = v2 * t2
d2 = v2 * (t1 + 0.5)
Substituting values:
d2 = 50 * (3.5 + 0.5)
d2 = 200 miles
The distance between the cars is:
d = root ((d1) ^ 2 + (d2) ^ 2)
d = root ((147) ^ 2 + (200) ^ 2)
d = 248.2 miles
Answer:
They will be 248.2 miles far.

3 0

4 years ago

Read 2 more answers

Sarah travels 33 miles per hour. How long does it take her to travel 198

OLga [1]

Answer:

its will take Sarah 6 hours to travel 198 miles if she continues to go 33 miles per hour

Step-by-step explanation:

33 per hour

198/33 = 6

8 0

3 years ago

Kelly price sells college textbooks on commission. She gets 8 % on the first $7500 of sales, 16% on the next $7500 of sales, a

Solnce55 [7]

Answer:

The commission would be $ 920.

Step-by-step explanation:

Given,

Sales in 1997 = $ 9500,

Since, there is a commision of 8 % on the first $ 7500 of sales, 16% on the next $ 7500 of sales, and 20% on sales over $ 15,000,

If x represents the total sales,

Commission for x ≤ 7500 = 8% of x = 0.08x,

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of (x-7500)

= 600 + 0.16(x-7500),

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of 7500 + 20% of (x-15000)

= 600 + 1200 + 0.20(x-15000)

= 1800 + 0.20(x-15000)

Thus, the function that shows the given situation,

$f(x)=\left\{\begin{matrix}0.08x & x \leq 7500\\ 600+0.16(x-7500) & 7500 < x \leq 15000\\ 1800+0.20(x-15000) & 15000 < x\end{matrix}\right.$

Since, 9500 lies between 7500 and 15000,

Therefore, the commission would be,

f(9500)= 600 + 0.16(9500 - 7500) = 600 + 320 = $ 920

7 0

4 years ago

The sum of two consecutive Integers is 123. What is the smallest of the two integers?

mojhsa [17]

Answer:

Step-by-step explanation:

n + (n+1) = 123

2n+1 = 123

n = 61

5 0

3 years ago

What is the value of 3/4 + 1/16 in lowest terms

lidiya [134]

To get operations easier lets get their denominators equal, that would be converting both to 16, lets start with that:
(3/4) = (4/4)(3/4) = 4*3/*4*4 = 12/16
so, 3/4 = 12/16 they are equivalent, we can now perform the sum easily:
3/4 + 1/16
= 12/16 + 1/16
= 13/16
that is the result in the lowest terms because we cannot reduce that fraction any more.

7 0

3 years ago

Read 2 more answers