(HELP PLS) A triangle has the coordinates

The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.

vampirchik [111]

Answer:

slope = -1.5

Step-by-step explanation:

A set of three or more points are said to be collinear if they all lie on the same straight line.

We have been given the following collinear set of points;

P(0, 3), Q(2, 0), R(4, -3)

This implies that P, Q, and R lie on the same line.

The slope of a line is defined as; (change in y)/(change in x)

Using the points P and Q, the slope of the line is calculated as;

(0-3)/(2-0) = -3/2 = -1.5

7 0

3 years ago

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What is the square root of 18

kifflom [539]

Answer:

4.24

Step-by-step explanation:

looked it up on google

google is never wrong

3 0

3 years ago

12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).

zhenek [66]

Understanding:

The sum of a geometric series is, $a+ar+ar^2+ar^3+...$ , with a being the start point and r is the common ratio. We can also use the following formula to make life easier $S_n=a\frac{1-r^n}{1-r}$ , a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

Solution:

Our start point is 1, $a=1$ ,

The common ratio is 5, $r=5$ ,

And finally, the number of terms is 7, $n=7$ .

$S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531$

The answer is [A] 19531.

7 0

3 years ago

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PLEASE HELP!!!!!!!!!! What is 2^4 AND 3^5

shepuryov [24]

Answer:

2^4 is 16 and 3^5 is 243

Step-by-step explanation:

6 0

3 years ago

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9. Alicia Martin's savings account has a principle of $1,200. It earns 6% interest compounded quartly

zavuch27 [327]

Answer:

$9) \$1236.27\,10)\,\$6451.07\, 11)\,\$10,152.87 \,12)\,\$907.95 \,13)\,\$4957.69$

Step-by-step explanation:

9) Since Alicia Martin's savings earns 6% quarterly for two quarters then:

$A=P(1+\frac{r}{n})^{nt}$ ⇒ Amount (A), Principle (P), rate (r) in decimal form, number of compoundings (n) a year and t, in year or its fractions.

$A=P(1+\frac{r}{n})^{nt}\Rightarrow A=1200(1+\frac{0.06}{4})^{4*\frac{1}{2}}\Rightarrow A=\$1236.27$

10) Aubrey Daniel's case:

$A=P(1+\frac{r}{n})^{nt}\Rightarrow A=5725(1+\frac{0.04}{4})^{4*3}\Rightarrow A\approx \$6451.07$

11) As for Angelo, similarly to Alicia.

$A=P(1+\frac{r}{n})^{nt}\Rightarrow A=9855(1+\frac{0.06}{4})^{4*\frac{1}{2}}\Rightarrow A\approx \$10,152.87$

12) Simpson's. For semiannual n=2

$A=P(1+\frac{r}{n})^{nt}\Rightarrow A=860(1+\frac{0.055}{2})^{2*1}\Rightarrow A\approx \$907.95$

13) Jana Lacey amount:

$A=P(1+\frac{r}{n})^{nt}\Rightarrow A=4860(1+\frac{0.04}{4})^{4*\frac{1}{2}}\Rightarrow A\approx \$4957.69$

6 0

3 years ago