All categories

3 years ago

Write the equation of the line given the slope and a point on the line. Type your answer in the box without skipping any spaces.

m = 3, point (2, 1)

Mathematics

1 answer:

pshichka [43]3 years ago

8 0

$m=3
\\(2,1) \Rightarrow x_1=2,y_1=1
\\
\\y-y_1=m(x-x_1)
\\y-1=3(x-2)
\\y-1=3x-6
\\y=3x-5$

You might be interested in

A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A col

Alinara [238K]

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

$n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\$

For sample 2:

$n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\$

Calculating the null and alternative hypotheses:

$H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1$

Calculating the test statistic:

$Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693$

Calculating the conservative degrees of freedom:

$DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24$

by using Excel the p-value for left tailed test and for test statistic will be $-1.693$ with $DF = 24$ .

$\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}$

5 0

3 years ago

What are the vertices of the hyperbola whose equation is (x+7)^2/25-(y-8)^2/32= 1?(−13, 8) and (−1, 8)

Elan Coil [88]

Answer:c. -7,2 and -7,14

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Landscaping company planted 176 tress in 8 equal rows in the new park. Jow many tress did the company plant in each row

Lynna [10]

22 plants in each row

5 0

3 years ago

What is the equation of the line that passes through (1, 3) and (-2,-3)?

Fofino [41]

Y=2x+1 is the equation.

3 0

3 years ago

Read 2 more answers

Andy is building a model of a square pyramid for a class project. The side length of the square base is 11 inches and the slant

zvonat [6]

Answer:

The answer is 792.

Step-by-step explanation:

I got the answer by first imagining how the 3d shape looks ike. Since one of the sqaure base length is 11 I found the base surface area by doing 11 times 11.My answer was 132. The since one of the slant length of the pyramid's triangle is 15, I did 11 times 15, my answer was 165. There are four triangles in the pyramid so I did 165 times 4, my answer was 660.

All the triangle surface area is 660 plus the sqaure surface are which is 132, that gave me my answer 792.

4 0

3 years ago