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4 years ago

What is the slope of the line that passes through the pair of points (-10,14) and(-6,12)

Mathematics

1 answer:

natulia [17]4 years ago

7 0

In this question, you're finding the slope with the given points.

To find slope, you would use this equation:

(y2 - y1) / (x2 - x1)

Plug in the coordinates and solve:

(12 - 14) / (-6 - ( -10))

-2 / (-6 + 10)

-2 / 4

<em>simplify:</em>

-1/2

The slope of the line would be -1/2

Answer:

-1/2

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Simplest form of (36^)1/3

nekit [7.7K]

3,301927249 = ³√36

As discussed in one of my videos on my channel [USERNAME: MATHEMATICS WIZARD] on the Six Rational Exponential Rules, this one states that with a numerator of 1 in the exponent, you take the multiplicative inverse [reciprocal] of the fraction, and set the whole number equal to the root, bringing your a inside the radical, which is 36.

ⁿ√aᵐ = aᵐ\ⁿ → works for both: numerator ≥ 1

I am joyous to assist you anytime.

5 0

3 years ago

You decide to put $5000 in a savings account to save $6000 down payment on a new car. If the account has an interest rate of 7%

bezimeni [28]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&\$6000\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years \end{cases}$

$\bf 6000=5000\left(1+\frac{0.07}{12}\right)^{12\cdot t}\implies \cfrac{6000}{5000}\approx (1.0058)^{12t}\implies \cfrac{6}{5}\approx(1.0058)^{12t} \\\\\\ \log\left( \cfrac{6}{5} \right)\approx \log[(1.0058)^{12t}]\implies \log\left( \cfrac{6}{5} \right)\approx 12t\log(1.0058) \\\\\\ \cfrac{\log\left( \frac{6}{5} \right)}{12\log(1.0058)}\approx t\implies 2.63\approx t\impliedby \textit{about 2 years, 7 months and 16 days}$

6 0

4 years ago

I need help with #6 <br> Can u also show work ?

Anit [1.1K]

Answer:

the answer is a when you do the math while b and c and d all keep going bit a stops and can no loneger be changed

Step-by-step explanation:

1. distribute 2 to what is in the parentheses ( you should get x over 3 +10)

2. combine both x over 3

cancel out the x and get 6

your answer wpuld be 6 = 10

5 0

3 years ago

Help please?? If you deposit $750 in an account that pays 8% annual interest compounded continuously, what will the balance be a

Stella [2.4K]

The formula of a continuous compound interest is
A=p e^rt
A the balance?
P present value 750
E constant
R interest rate 0.08
T time 5 years
A=750×e^(0.08×5)
A=1,118.87

7 0

4 years ago

Which statement about the figure MUST be true? Select all that apply.

olga55 [171]

<h2>○=> <u>Correct options</u> :</h2><h2>□ $\color{plum}\tt\bold{(C) \: SR = 27}$ </h2><h2>□ $\color{plum}\tt\bold{(D) \: QR = 54 }$ </h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

$= \tt6n + 3 = 4n + 11$