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3 years ago

Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why

Mathematics

1 answer:

Pani-rosa [81]3 years ago

6 0

B because the distance between p to b is 1/4 of the line and the distance between p to a is 3/4 of the line

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Caden states that n^2 +3n + 2n is an equivalent expression to 6n. Why is Caden's statement incorrect?

malfutka [58]

$\begin{gathered} \text{The simplification of n}^2+3n+2n\text{ is:} \\ i)n^2+5n \\ By\text{ collecting common term, this can be written in form of:} \\ ii)\text{ n(n+5)} \end{gathered}$

Thus, options A and D hold, from the simplifications above.

Let's consider the validity of the remaining options provided.

$\begin{gathered} \text{For option B)} \\ \text{substitute for n=1 into the expression n}^2+3n+2n,\text{ we have} \\ 1^2+3(1)+2(1)=1+3+2=6 \\ \text{substitute for n=1 into the expression 6n, we have} \\ 6(1)=6 \\ \text{Thus, the expression n}^2+3n+2n\text{ is equivalent to 6n, for n=1} \end{gathered}$ $\begin{gathered} \text{For option C)} \\ \text{The expression n}^2+3n+2n\text{ does not simplify to 7n} \end{gathered}$ $\begin{gathered} \text{For option E)} \\ \text{substitute for n=4 into the expression n}^2+3n+2n,\text{ we have:} \\ 4^2+3(4)+2(4)=16+12+8=36 \\ \text{substitute for n=6 into the expression 6n, we have:} \\ 6(4)=24 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=4} \end{gathered}$ $\begin{gathered} \text{For option F)} \\ \text{substitute for n=3 into the expression n}^2+3n+2n,\text{ we have:} \\ 3^2+3(3)+2(3)=9+9+6=24 \\ \text{substitute for n=3 into the expression 6n, we have:} \\ 6(3)=18 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=3} \end{gathered}$

Hence, the correct options that apply are options A, D, E and F

7 0

1 year ago

Krista has a garden that is 5 yards by

kobusy [5.1K]

Answer: 30 square yards: C

5 0

3 years ago

Function: y=3 sin(x) + 5

oksian1 [2.3K]

Answer:

see explanation

Step-by-step explanation:

The function has a maximum value when sinx = 1 , then

y = 3(1) + 5 = 3 + 5 = 8

The function has a minimum value when sinx = - 1, then

y = 3(- 1) + 5 = - 3 + 5 = 2

Thus

range is 2 < y < 8

6 0

3 years ago

Solve A=1/2(b+c)h for h . Please show work

Tju [1.3M]

h = $\frac{2A}{b + c}$

multiply both sides by 2 to eliminate the fraction

2A = ( b + c)h

isolate h by dividing both sides by (b + c)

h = $\frac{2A}{b + c}$

7 0

3 years ago

56 is 4% of how many days

mojhsa [17]

Change the percent to decimal

4%= .04

.04x = 56

solve for x

so x = 1400

8 0

3 years ago