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3 years ago

If the signs of a coordinate of collinear points (-6,-2), (-5,2) and (-4,6) are reversed, would it still be collinear?

1 answer:

4 0

Hello,
the transformation that applies (x,y) to (-x,-y) is a symmetry by the origin.
Every symmetry transforms a line into a line.

So the new points are also collinear.

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Evaluate the given expression. Subscript 5 Baseline P Subscript 2 a. 40 c. 25 b. 32 d. 20

Leto [7]

Answer:

d. 20

Step-by-step explanation:

The given question implies 5 permutation 2, i.e $_{5}$ $P_{2}$ .

But,

$_{n}$ $P_{r}$ = $\frac{n!}{(n - r)!}$

So that for $_{5}$ $P_{2}$ , n = 5 and r = 2.

$_{5}$ $P_{2}$ = $\frac{5!}{(5 - 2)!}$

= $\frac{5!}{3!}$

= $\frac{5*4*3*2!}{3*2!}$

Cancel out 3 and 2 with respect to the numerator and denominator.

$_{5}$ $P_{2}$ = 5 * 4

= 20

Therefore,

$_{5}$ $P_{2}$ = 20

So that the correct option is D.

6 0

3 years ago

Read 2 more answers

Find f(-9) for f(x)= -3x^2-20

lions [1.4K]

Answer:

-263

Step-by-step explanation:

replace x by -9

5 0

2 years ago

Use the inverse cosine to find the measure of angle Q.

Rom4ik [11]

Answer:

∠ Q ≈ 53.1°

Step-by-step explanation:

cos Q = $\frac{adjacent}{hypotenuse}$ = $\frac{QS}{QR}$ = $\frac{6}{10}$ , then

∠ Q = $cos^{-1}$ ( $\frac{6}{10}$ ) ≈ 53.1° ( to the nearest tenth )

4 0

2 years ago

3. A soccer team played 160 games and won 65 percent of them. How many games did the team win?

Airida [17]

Answer:

b.) 104

Step-by-step explanation:

Percent formula:

x/y = p/100

where x is the fraction, y is the total, and p is the percent

This means:

x = number of games the team won

y = total number of games

p = percent the number of teams won

Let's plug these values into the equation:

x/y = p/100

x/160 = 65/100

Solve by cross-multiplying:

x/160 = 65/100

100(x) = 100x

160(65) = 10,400‬

100x = 10,400

/100 /100

x = 104

Therefore, the team won 104 games.

6 0

2 years ago

Find the exact value of the expression

son4ous [18]

Answer:

here is the correct answer

7 0

2 years ago