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3 years ago

Consider the line through (-1, -4) and (1, 2). What is the slope (m) of the line?

Mathematics

1 answer:

zloy xaker [14]3 years ago

5 0

Answer:

Explanation:

$\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}$

$\bold{\left(x_1,\:y_1\right)=\left(-1,\:-4\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)}$

$\bold{m=\frac{2-\left(-4\right)}{1-\left(-1\right)}}$

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Jose bought a new car 2 years ago for $18,000. The value of his car decreased exponentially by 17% and is now

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3 years ago

Read 2 more answers

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = t7 + 1, y = t8

Jet001 [13]

I must assume that you meant t=1 (not t=?1). If t=1, here's what we'd do:

1. Find the x and y values corresponding to t=1. They are:
x=(1)^7+1=2 and y=(1)^8+1=2. (Please note: write t^8 instead of t8, and write t^7 instead of t7.)
2. The slope of the tangent line to the graph is
dy/dt 8t^7+1
dy/dx = ---------- = ---------------- with 1 substituted for t
dx/dt 7t^6

Thus, dy/dx (at t=1) = 9/7

3. Now we have both a point (2,2) on the graph and the slope of the tangent line to the curve at that point: 9/7

4. The tangent line to the curve at (2,2) is found by using the point-slope formula:

y-y1 = m(x-x1)

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3 years ago

Mr. Ramsey has 14 girls and 10 boys in her class she will randomly create one group of three students to work on a project what

Mrrafil [7]

The probability that the group will be all girls is 91/506

<h3 /><h3>Number of ways of selecting 3 students out of the total</h3>

Since there are 14 girls and 10 boys, the total number of students is 10 + 14 = 24.

So, the total number of ways of selecting 3 students from 24 is ²⁴C₃.

<h3 /><h3>Number of ways of selecting 3 girls out of 14</h3>

Also, the total number of ways of selecting a group of 3 of all girls out of the 14 girls is ¹⁴C₃ = 14

<h3 /><h3>Probability of all girls</h3>

So, the probability of selecting a group of 3 of all girls = number of ways of selecting 3 girls/total number of selections = ¹⁴C₃ ÷ ²⁴C₃

= 14 × 13 × 12/3! ÷ 24 × 23 × 22/3!

= 7 × 13/23 × 22

= 91/506

So, the probability that the group will be all girls is 91/506

Learn more about probability here:

brainly.com/question/24756209

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3 years ago

Consider the line through (-1, -4) and (1, 2). What is the slope (m) of the line?​

Consider the line through (-1, -4) and (1, 2). What is the slope (m) of the line?