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padilas [110]
3 years ago
14

AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify tha

t Point X, with a coordinate of (6,6), divides AB in a 1:2 ratio?
Mathematics
2 answers:
GenaCL600 [577]3 years ago
5 0
The smaller side is 4 units going from point (2,2) to point (6,6) while the biger side is 8 units long going from point (6,6) to point (14,14). So 4 is 1/2 of 8 therefore there is a 1:2 ratio because of 4:8
Murljashka [212]3 years ago
5 0

Answer:

Yes, point X, with a coordinate of (6,6), divides AB in a 1:2 ratio

Step-by-step explanation:

We have been given the endpoints for AB as A(2,2) and B(14,14). The point X divided the line segment AB in 1:2 ratio and the coordinate of X is (6,6)

We know that if a point divides a line segment in m:n ratio then the coordinate of the point is given by

\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )

On substituting the known values, we can find the coordinate of X and check if it is same with the given coordinate or not

X=\left ( \frac{1\cdot 14+2\cdot 2}{2+1},\frac{1\cdot 14+2\cdot 2}{2+1} \right )\\\\X=\left ( \frac{18}{3},\frac{18}{3}\right )\\\\X=(6,6)

Since, we got the same X coordinate as the given.

Hence, the given statement is verified.


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What's the slope of -4,6 and 3,-8
notsponge [240]

Answer:

The slope is -2

Step-by-step explanation:

(-4,6) (3,-8)

(y₂ - y₁) / (x₂ - x₁)

((-8) - (6)) / ((3) - (-4))

(-8 - 6) / (3 + 4)

-14/7 = -2

4 0
3 years ago
Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $28,000 over the next 6 year
Anna35 [415]

Given:

• Amount to save, A = $28,000

,

• Time, t = 6 years

,

• Interest rate, r = 5.3% ==> 0.053

,

• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})

Where:

FV is the future value = $28,000

r = 0.053

n = 4

t = 6 years

Thus, we have:

28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}

Let's solve for P.

We have:

\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\  \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\  \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\  \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}

Solving further:

28000=P(28.0384237)

Divide both sides by 28.0384237:

\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\  \\ 998.6=P \\  \\ P=998.6 \end{gathered}

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

8 0
1 year ago
Choose the true statement.<br> 0-2 &lt;-3<br> 0-2&gt;-3<br> 0-2 = -3
Natasha2012 [34]

The true statement is -2>-3

Step-by-step explanation:

The given statement included inequality and comparison symbols. The numbers involved are negative integers.

As the number increases its value decreases which means that -1 will be greater than -2 and so on

Given statement will be discussed one by one

-2 <-3

-2 comes before -3 so the statement is true as -2 will be greater than -3.

-2>-3

The statement is true because -2 is greater than -3

The true statement is -2>-3

Keywords: Comparisons, Inequality

Learn more about inequalities at:

  • brainly.com/question/2670657
  • brainly.com/question/2821386

#LearnwithBrainly

3 0
3 years ago
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
grandymaker [24]
-2m - 5m = -7m
-7m - 8 = 3 -7 + m
3 - 7 = -4
-7m - 8 = m - 4
-7m - 8 + 8 = m - 4 + 8
-7m = m + 4
-7m - m = m + 4 - m
-8m = 4
-8m/-8 = 4/ -8
FINAL = m=  -1/2 = -0.5
4 0
3 years ago
Which relation is a function
SVETLANKA909090 [29]
The first one, the other graphs do not pass the Vertical line Test. they intersect at more than one point on the graph
4 0
3 years ago
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