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2 years ago

12

Use the slope formula to find the slope of the line through the points (2,1) and (8,7)

1 answer:

allochka39001 [22]2 years ago

8 0

Answer:

m = 1

Step-by-step explanation:

(2,1) and (8,7)

m = (y2-y1)/(x2-x1)

m=(7-1)/(8-2)

m=6/6

m = 1

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Find the value of x if a linear function goes through the following points and has the following slope: (x,2), (-4,6), m=3

Anastasy [175]

The slope is defined as

$m=\dfrac{\Delta y}{\Delta x}=\dfrac{6-2}{-4-x}$

So, we have the follwing equation:

$\dfrac{6-2}{-4-x} = 3 \iff 4 = 3(-4-x) \\\iff 4=-12-3x \iff16=-3x \iff x = -\dfrac{16}{3}$

6 0

2 years ago

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Would you solve the equation 0.25x + 7 = 1/3x – 8 <br> using fractions or decimals? Explain please.

mamaluj [8]

Answer:

$x = 180$

Step-by-step explanation:

Solve the value of $x$ :

$0.25x + 7 = \frac{1}{3}x - 8$

-Combine $\frac{1}{3}x$ and $0.25x$ by subtracting $0.25x$ by $\frac{1}{3}x$ :

$0.25x - \frac{1}{3}x + 7 = \frac{1}{3}x - \frac{1}{3}x - 8$

$-\frac{1}{12}x + 7 = -8$

-Subtract $7$ on both sides:

$-\frac{1}{12}x + 7 - 7 = -8 - 7$

$-\frac{1}{12}x = -15$

-Multiply both sides by $-12$ , the reciprocal of $-\frac{1}{12}$ :

$\frac{-\frac{1}{12}x}{-\frac{1}{12}} = \frac{-15}{-\frac{1}{12}}$

$x = -15 (-12)$

$x = 180$

Therefore, the value of $x$ is $180$ .

7 0

3 years ago

ehidna [41]

Answer:

The length between the two points is RT = 1.3 units

Step-by-step explanation:

The coordinates of the point R and T are R(2,1.2) and T(2,2.5).

Now, by DISTANCE FORMULA:

The distance between two coordinates P and Q with coordinate P(a,b) and Q(c,d) is given as:

$PQ = \sqrt{(a-c)^2 + (b-d)^2}$

So, here the distance RT = $\sqrt{(2-2)^2 + (2.5 - 1.2)^2} = \sqrt{0^2 + (1.3)^2} = 1.3$

or, RT = 1.3 units

Hence, the length between the two points is RT = 1.3 units

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2 years ago

Log(1+y) - log(1-y) = log x in 2 decimal places, express y in terms of x

GaryK [48]

Answer: $y = \frac{x-1}{x+1}$

Step-by-step explanation:

$log(1+y) - log(1-y) = log x \\log\frac{1+y}{1-y} =log x\\x = \frac{1+y}{1-y}\\x(1-y)=1+y\\x-xy=1+y\\x-1 = xy+y\\y(x+1)=x-1\\y=\frac{x-1}{x+1}$

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2 years ago

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Lexie, a bowler, claims that her bowling score is more than 140 points, on average. Several of her teammates do not believe her,

Crazy boy [7]

Answer:

The test statistic is $t = 3.744$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 140$

The The level of significance is $\alpha = 0.05$

The sample size is n = 18

The null hypothesis is $H_o : \mu = 140$

The alternative hypothesis is $H_a : \mu > 140$

The sample mean is $\= x = 155$

The standard deviation is $\sigma = 17$

Generally the test statistics is mathematically represented as

$t = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }$

substituting values

$t = \frac{ 155 - 140 }{ \frac{ 17 }{ \sqrt{18} } }$

$t = 3.744$

7 0

3 years ago