Determine the coordinates of the point that divides directed line segment BA into the ratio 1/3

Step-by-step explanation:

The equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Suppose the given points are [tex](x_1, y_1) and (x_2, y_2),[/tex]

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We have been given a line passing through the point (8, 9) with a slope of 3.

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Its slope would be:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

m = 3

Therefore, the equation of the straight line

[tex](y - 9) = 3 (x -8)\\\\y - 9 = 3x - 24\\\\y = 3x -15[/tex]

Hence, the equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Learn more about straight-line equations here:

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Answer:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Rewrite in slope-intercept form.

y= −1/2x+8

Step-by-step explanation:

Hope it is helpful...

Hey there!

The answer is y = [tex]\frac{-1}{2}[/tex]x + 8

To put it into slope-intercept form, we must get "y" by itself on one side of the equation. First, to do this, we will subtract "x" from both sides.

2y = -x + 16

Lastly, we divide both sides by 2

y = [tex]\frac{-1}{2}[/tex]x + 8

Have a super awesome day! :)

Answer:

Function A has a greater initial value because the initial value for Function A is 6 and the initial vale for Function B is 3

Step-by-step explanation:

The data for Function A is presented here as follows;

[tex]\begin{array}{cc}x&y\\-1&9\\0&6\\1&3\\2&0\end{array}[/tex]

The slope of the function, 'm', is given using any two points as follows;

m = (9 - 3)/((-1) - 1) = -3

The slope of the function = -3

The equation of function in point and slope form is given as follows;

y - 3 = -3·(x - 1)

The equation of Function A, is therefore, given as follows;

y = 3 - 3·x + 3 = 6 - 3·x

∴ y = 6 - 3·x

The equation of Function B is given as follows;

y = 6·x + 3

The initial value of a function is given by the y-intercept of the function, where the input variable (x-variable) is zero

The initial value, (y-intercept) of Function A, f(0) is therefore found as follows;

f(x) = y = 6 - 3·x

f(0) = 6 - 3×0 = 6

The initial value of Function A, f(0) = 6

Similarly, the initial value, (y-intercept) of Function B, f(0) is found as follows;

f(x) = y = 6·x + 3

f(0) = 6×0 + 3 = 3

The initial value of the Function B, f(0) = 3

Therefore, we have that Function A has a greater initial value than Function B

Answer:

8%

Step-by-step explanation:

Divide 35 and 437.50 and you get 0.8

Then multiply .8 times 100 = 8%

Since 5 winning numbers are draw and there are exactly 2 winning numbers, the other 3 numbers chosen have to be incorrect.

The 2 numbers picked right, there are 5C2=10 different possibilities.

The other 3 numbers are just picked from the rest of the 32 numbers. Getting there are 32C3=4960 different possibilities.

For each set of 2 correct winning numbers, you could have the 4960 different losing numbers to match up to make a unique set. This meant that there are 4690*10=46900 different total possibilities.

Now the total different outcomes of how you can choose the numbers are 37C5=435897 outcomes.

Now the way to find probabilities is want/total

The want is 46900 and the total is 435897

Doing the division you get the number rounded to the nearest thousandths as   0.107 or in percent form as

10.759% chance of picking exactly 2 winning numbers.

This seems like a competition problem of some sort therefore I assume that you already know what combinations in form nCk and permutation in form nPk means.

Answer:

A two-sample t-test for a difference between population means

Step-by-step explanation:

Answer:

D) A two-sample  t -test for a difference between population means

Step-by-step explanation:

Two random samples are selected on a quantitative variable, and the difference in the sample means will be calculated. The appropriate test is the two-sample t-test for a difference in population means.

Answer:

there are 8 one dollar bills and 3 five dollar bills

Step-by-step explanation:

Answer:

Step-by-step explanation:

maybe 30 vtfyubf6tyubtfcgnfgghghnvb ngvbhfhgbfvgn

Answer:

that would be 80

Step-by-step explanation:

Here it is

Answer:

[tex]5\sqrt{3}[/tex] or 8.66

Step-by-step explanation:

use tan:

tan = [tex]\frac{opposite}{adjacent}[/tex]

⇒ tan 60 = [tex]\frac{x}{5}[/tex]

tan of 60 is 1.73

⇒ 1.732 = [tex]\frac{x}{5}[/tex]

multiply 5 on both sides

⇒ 1.732 x 5 = [tex]\frac{x}{5}[/tex] x 5

⇒ 8.66

Answer:

[tex]\boxed {\boxed {\sf D. \ 5 \sqrt 3 \ or \ 8.66}}[/tex]

Step-by-step explanation:

Remember the 3 main trigonometric ratios:

We are given the 60 degree angle. 5 is adjacent to the angle and x is opposite. Therefore, we must tangent.

[tex]tan \theta= \frac {opposite}{adjacent}[/tex]

[tex]tan60=\frac {x}{5}[/tex]

Since we are solving for x, we must isolate that variable. It is being divided by 5 and the inverse of division is multiplication. Multiply both sides by 5.

[tex]5(tan60)=\frac {x}{5} *5[/tex]

[tex]5(tan60)=x\\5*$$1.73205080757= x\\8.66025403784=x[/tex]

If we round to the nearest hundredth, the 0 in the thousandth place tells us to leave the 6.

[tex]8.66 \approx x[/tex]

x is about 8.66 or 5√3, which is choice D.

Answer:

5/9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

the was I understand matrix multiplication, I re-learned tonight so I could be wrong but.....

according to Gaggle    matrix multiplication is possible when the number of columns in matrix 1  equals the number of rows in matrix 2

       it is called the dot product  (that sounds familiar)

first choice has 2 columns  and 1 row              can't multiple this one

second choice has 1 column  and 2 rows        can't multiple this one

third choice has 2 columns  and 1 row             can't multiple this one

fourth choice has 1 column  and 1 row        This one can be multiplied

Answer: 3.75 miles

Step-by-step explanation:

Divide 30 by 8. 30/8= 3.75. If she walked 1/8 then she walked 3.75 miles

Answer:

volume of a cylinder is πr²h

ie

3.14 × 7× 7 × 11

you get

1692.46

Answer: 37. 7in

12*3.14= 37.68

Rounded= 37.7 inches

Answer:

Area=πr²

=3.14×(6/2)²

=28.26 ft²

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:Only 1 term because the others are coefficients because they have a variable by them.

Answer: 14.4

Step-by-step explanation:

60 * (24/100) = 14.4

Answer: 4! 300:75     Hope you have a great day! Good luck on any stressful school homework stuff you have today too!

Step-by-step explanation: A fraction consists of two numbers and a fraction bar:

300/75

The number above the bar is the numerator: 300

The number below the bar is the denominator: 75

Divide the numerator by the denominator to get fraction's value:

300/75 =

300 ÷ 75 =

4:1

Answer:

A and B

Step-by-step explanation:

Answer:

golf ball striking the ground is a collision.

The ground exerts an equal force on the golf ball. y-step explanation:

PLATO

Answer: 123

Step-by-step explanation:

Foe us to solve this, we have to find the lowest common multiple of 16, 20 and 24 first and then add 3 to the LCM. This goes thus:

Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160

Multiples of 20 = 20, 40, 60, 80, 10, 120, 140, 160

Multiples of 24 = 24, 48, 72, 96, 120

Therefore, the Lowe's common multiple is 120.

We then add the remainder of 3 and this will give:

= 120 + 3

= 123

Answer:

1. 14

2. 11

3. 19.5

4. 16

5. 76

6. 10

7.  2.5

8. 4.5

9. Mean: 10, Median: 9, Mode: 7

10. Mean: 6, Median: 7, Mode: 8,5

11. Mean: 10, Median: 11.5, Mode: 12

Step-by-step explanation:

Answer. 655.4

Step-by-step explanation:

what did u get?

Answer:

14,599

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

peeiroeoeolonesoapsodndd

Answer:

10 - 104

11 - 25

12 - 64

13 - 109

14 - 33

15 - 90

Step-by-step explanation:

For the first 3 triangles u must add the two angles and minus it from 180

Q number 13 do the same thing then minus the number u got by 180

Q number 14 .... 66 - 180 = 33

Q number 15 it is a right angle so it is 90

Answer:

33.49 cubic units

Step-by-step explanation:

[tex]V_{sphere} = \frac{4}{3} \times \pi {r}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi {(2)}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi \times 8 \\ \\ V_{sphere} = \frac{32 \times 3.14}{3} \\ \\ V_{sphere} = \frac{100.48}{3} \\ \\ V_{sphere} = 33.4933333\\ \\ V_{sphere} \approx 33.49\: units^3 [/tex]