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3 years ago

Find slope represented in the table

Mathematics

2 answers:

zlopas [31]3 years ago

8 0

Answer:-4

Step-by-step explanation:

zheka24 [161]3 years ago

7 0

The answer is -4 for the problem

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Two teams A and B play a series of games until one team wins four games. We assume that the games are played independently and t

crimeas [40]

Answer:

4pq(p³+q³)

Step-by-step explanation:

Exactly 5 game would be when 4 wins and 1 loss of a particular person

loss has to be one of the first 4 games

A wins: qp⁴ + pqp³ + p²qp² + p³qp

= qp⁴ + qp⁴ + qp⁴ + qp⁴ = 4qp⁴

B wins: pq⁴ + qpq³ + q²pq² + q³pq

= pq⁴ + pq⁴ + pq⁴ + pq⁴ = 4pq⁴

A wins or B wins:

4pq⁴ + 4qp⁴ = 4pq(q³+p³)

6 0

3 years ago

In ΔNOP, the measure of ∠P=90°, the measure of ∠O=17°, and OP = 8.6 feet. Find the length of PN to the nearest tenth of a foot.

SVEN [57.7K]

The length of PN is 2.63 feet

Explanation:

Given:

∠P=90°,

∠O=17°,

OP = 8.6 feet

PN = ?

The given triangle is a right angle triangle as one angle is 90°

We know:

$tan \alpha = \frac{perpendicular}{base}$

$tan(17^o) = \frac{PN}{OP} \\\\0.3057 = \frac{PN}{8.6} \\\\PN = 0.3057 X 8.6 feet\\\\PN = 2.63 feet$

Therefore, the length of PN is 2.63 feet

7 0

4 years ago

7-3x=x=4(2+x) Please tell me the steps that you did big test real soon

earnstyle [38]

7-3x=4(2+x)<--Distribute
7-3x=8+4x
-7...... -7
---------------
-3x=1+4x
-4x ....-4x
--------------
-7x=1
/-7 /7
---------------
x=-1/7

8 0

4 years ago

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?

grigory [225]

Answer:

$\frac{4}{3} \pi r^3$ .

Step-by-step explanation:

Let's say that the radius is r. The base diameter is two times the radius, or 2r.

Since the height is two times the diameter, the height is 2 * 2r = 4r.

The volume of a cone is 1/3 * h * pi * r^2. So, the volume of the cone is 1/3 * 4r * pi * r^2 = 1/3 * pi * 4r^3 = 4/3 * pi * r^3.

So, the volume of the cone is $\frac{4}{3} \pi r^3$ .

Hope this helps!

8 0

3 years ago

Find the equation of the line with slope −5 and that contains the point (−9,−5). Write the equation in the form y=mx+b and ident

Elina [12.6K]

Answer & Step-by-step explanation:

Slope-intercept form:

$y=mx+b$

m is the slope and b is the y-intercept. Insert the given slope:

$y=-5x+b$

To find the y-intercept, take the given coordinate point and insert:

$(-9_{x},-5_{y})\\\\-5=-5(-9)+b$

Solve for b:

Simplify multiplication:

$-5=45+b$

Subtract 45 from both sides:

$-50=b\\\\b=-50$

The y-intercept is -50. Insert:

$y=-5x-50$

$m=-5\\b=-50$

Use the slope formula for when you have two points:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}$

The slope is the change in the y-axis over the change in the x-axis, or rise over run. Insert the points:

$(2_{x1},4_{y1})\\(10_{x2},2_{y2})$

$\frac{2-4}{10-2}=\frac{-2}{8}=-\frac{2}{8}=-\frac{1}{4}$

The slope is $-\frac{1}{4}$ . Insert:

$y=-\frac{1}{4}x+b$

Now follow the steps from the last problem to find the y-intercept. Choose a point and insert into the equation:

$(2_{x},4_{y})\\\\4=-\frac{1}{4}(2)+b$

Solve for b:

Simplify multiplication:

$-\frac{1}{4}*\frac{2}{1}=-\frac{2}{4}=-\frac{1}{2}$

Re-insert:

$4=-\frac{1}{2} +b$

Subtract b from both sides:

$4-b=-\frac{1}{2} +b-b\\\\4-b=-\frac{1}{2}$

Subtract 4 from both sides:

$4-4-b=-\frac{1}{2}-4\\\\-b=-\frac{1}{2}-4$

Simplify subtraction:

$-\frac{1}{2}-4=-\frac{1}{2} -\frac{4}{1} =-\frac{1}{2} -\frac{8}{2} \\\\-\frac{1}{2} -\frac{8}{2}=-\frac{9}{2}$

Re-insert:

$-b=-\frac{9}{2}$

Divide both sides by -1 to make the variable positive (can be seen as -1b):

$b=\frac{9}{2}$

The y-intercept is $\frac{9}{2}$ .

Write the equation:

$y=-\frac{1}{4}x+\frac{9}{2}$

:Done

7 0

4 years ago