About how far apart the points (10,20) and (16,24), traveling directly? explain your reasoning

Three points that are not collinear determine three lines. How many lines are determined by nine points, no three of which are c

Drupady [299]

Answer:

Use the method for solving Bernoulli equations to solve the following differential equation.

StartFraction dy Over dx EndFraction plus StartFraction y Over x minus 9 EndFraction equals 5 (x minus 9 )y Superscript one half

Step-by-step explanation:

Use the method for solving Bernoulli equations to solve the following differential equation.

StartFraction dy Over dx EndFraction plus StartFraction y Over x minus 9 EndFraction equals 5 (x minus 9 )y Superscript one half

4 0

4 years ago

Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue,

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Let the total number of votes to choose a color = x

Number of votes for blue = $\frac{5}{8}\times x$

Remaining votes = x - $\frac{5}{8}\times x$

= $\frac{8x-5x}{8}\times x$

= $\frac{3}{8}\times x$

Votes for green = $\frac{5}{9}\times (\text{Remaining votes})}$

= $\frac{5}{9}\times \frac{3x}{8}$

= $\frac{5}{24}\times x$

Finally remaining votes = $\frac{3x}{8}-\frac{5x}{24}$

= $\frac{9x-5x}{24}$

= $\frac{4x}{24}$

= $\frac{x}{6}$

Since these votes are for red therefore,

$\frac{x}{6}$ = 48

x = 48×6

= 288

a) Votes for blue are $\frac{5x}{8}$

Therefore, exact number for blue votes = $\frac{5\times 288}{8}$

= 5×36

= 180

b). Votes for green = $\frac{5x}{24}$

= $\frac{5\times 288}{24}$

= 60

c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25

= 313

d). Since seven tenths of the votes for blue were made by the girls.

Therefore, number of girls voted for blue = $\frac{7}{10}\times 180$

= 7×18

= 126

Since total votes made = 288

Therefore, half of the votes made = $\frac{288}{2}$

= 144

Now it's clear that number of votes made by girls is less than half of all the votes.

e). 126 girls voted for blue.

5 0

3 years ago

A painter is using a 8-foot ladder to paint a house. The painter places the ladder 4 feet from the house. How high up the wall d

zavuch27 [327]

Answer:

32 feet high

Step-by-step explanation:

7 0

3 years ago

The first three steps of completing the square to solve the quadratic equation x² + 4x - 6 = 0, are

slavikrds [6]

Answer:

The next 3 steps are

Step 4: $(x+2)=\pm \sqrt{10}$

Step 5: $x=-2\pm \sqrt{10}$

Step 6: $x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}$

Step-by-step explanation:

Given:

Quadratic Equation is

x² + 4x - 6 = 0

To Find:

x = ?

Solution:

Step 1: x2 + 4x = 6

Step 2: x2 + 4x + 4 = 6 + 4

Step 3: (x + 2)2 = 10

Step 4: $(x+2)=\pm \sqrt{10}$

Step 5: $x=-2\pm \sqrt{10}$

Step 6: $x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}$

8 0

3 years ago

The circumference of a circle is 15π units. How many units long is its diameter? (Use only the digits 0 - 9 and the decimal poin

Lyrx [107]

Answer:

c

Step-by-step explanation:

4 0

2 years ago