Line segment AB has endpoints A(10, 4) and B(2, 8). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:4. A) (6, 6) B) (2, 56 5 ) C) ( 24 5 , 42 5 ) D) ( 42 5 , 24 5 )

Answers

Answer 1

Line segment AB has endpoints A(10, 4) and B(2, 8). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:4.A)(6, 6)B)(2, 565)C)(245, 425)D)(425, 245)

Answer 2

Your Answer Is D 42/5 , 24/5

Related Questions

Which of the following is a solution of x2 + 6x = −18?

Answers

The correct option are a. [tex]$x = -3 + 3i$[/tex] and b. [tex]$x = -3 - 3i$[/tex].The solutions are complex numbers [tex]$x = -3 + 3i$[/tex] and [tex]$x = -3 - 3i$[/tex].

To find the solution of the quadratic equation [tex]$x^2 + 6x = -18$[/tex], we need to solve it for [tex]x[/tex].

Starting with the given equation:

[tex]\[x^2 + 6x = -18\][/tex]

Rearranging it to the standard form of a quadratic equation:

[tex]\[x^2 + 6x + 18 = 0\][/tex]

Now, to find the solutions, we can use the quadratic formula:

[tex]\[x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}\][/tex]

where [tex]$a = 1$, $b = 6$[/tex], and [tex]$c = 18$.[/tex]

Substituting the values:

[tex]\[x = \frac{{-6 \pm \sqrt{{6^2 - 4 \cdot 1 \cdot 18}}}}{{2 \cdot 1}}\]\[x = \frac{{-6 \pm \sqrt{{36 - 72}}}}{2}\]\[x = \frac{{-6 \pm \sqrt{{-36}}}}{2}\]\[x = \frac{{-6 \pm 6i}}{{2}}\]\[x = -3 \pm 3i\][/tex]

So, the solutions are complex numbers [tex]$x = -3 + 3i$[/tex] and [tex]$x = -3 - 3i$[/tex].

The complete question is:

Which of the following is a solution of [tex]$x^2 + 6x = -18$[/tex]?

a) [tex]$x = -3 + 3i$[/tex]

b) [tex]$x = -3 - 3i$[/tex]

c) [tex]$x = -3$[/tex]

d) [tex]$x = 3$[/tex]

Match the y-coordinate with the given x-coordinate for the equation y = log10x.

1. 1/100 -2

2. 1/10 0

3. 1 2

4. 10 1

5. 100 -1

Answers

1. log10 (1/100)=log10 (1/10^2)=log10 10^(-2)=(-2) log10 10=(-2)(1)=-2

2. log10 (1/10)=log10 10^(-1)=(-1) log10 10=(-1)(1)=-1

3. log10 (1)=0

4. log10 (10)=1

5. log10 (100)=log10 (10^2)=(2) log10 10=(2)(1)=2

Answers:
x y
1. 1/100 -2
2. 1/10 -1
3. 1 0
4. 10 1
5. 100 2

Answer:

Match the y-coordinate with the given x-coordinate for the equation y = log10x.

1. 1/100

2. 1/10

-2

3. 100

-1

4. 1

5. 10

shadesha invests $24,000 at age 27. at the age 31 jerome invests $2000 annually until retirement both invest at 7% compounded annually to plan to retire at 65 who has more money for retirement

Answers

Applying the compounded interest formula [tex]FV_{N}=PV(1+r)^{N} [/tex] we can write that Shadesha will earn for the retirement [tex]FV_{38} = 24000 (1+0.07)^{38} = $313,902.513879[/tex]
Applying annuity formula, Jerome will earn [tex]FV_{34}=2000( \frac{(1+0.07)^{34}-1 }{0.07}) = $256,517. 529629 [/tex]
Shadesha will have more money

Find the volume of a cylinder that has the following dimensions. Do not round your answer. (Use 3.14 for π.)

CONVERT M INTO CM

Answers

Convert .25 M to 25 cm. Then multiply 3.14 X 5 X 5 X 25 = 1962.5 cubic cm.

The volume of cylinder is 1962.5 [tex]cm^{2}[/tex].

To find the volume of a cylinder.

What is mensuration?

The part of geometry concerned with ascertaining lengths, areas, and volumes. Mensuration deals with the size, region, and density of different forms both 2D and 3D.

Given that:

Radius= 5 cm

Height= 0.25 m=25 cm

π=3.14

By the formula of volume of cylinder

Volume=π[tex]r^{2} h[/tex]

TO put the value,

Volume=3.14*5*5*25

Volume=1962.5 [tex]cm^{2}[/tex]

So, the volume of cylinder is 1962.5 [tex]cm^{2}[/tex].

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The longest side of an obtuse triangle measure 20 cm. the two shorter sides measure x cm.and 3x sm round to the nearest tenth,what is the greatedt possible value of x

Answers

22cm is the greatest

It should be greater than17(20-3)

and smaller than 23(20+3)

1) If the endpoints of the diameter of a circle are (9, 4) and (5, 2), what is the standard form equation of the circle?

Answers

First thing you need to do is find the center. This would be the midpoint of the two points given.

Midpoint = [tex]( \frac{X1+X2}{2} , \frac{Y1+Y2}{2} )[/tex]
where X1 is the x-coordinate of the first ordered pair and Y1 is the y-coordinate of the first ordered pair. Same applies to X2 and Y2. So now we plug in.

Mdpt = [tex]( \frac{9+5}{2} , \frac{4+2}{2} )[/tex]
= [tex]( \frac{14}{2} , \frac{6}{2} )[/tex]

Your midpoint is at (7, 3).

This gives you the beginning of the equation. The equation of a circle is:

(x - h)² + (y - k)² = radius²
where (h, k) is the center.

Your equation is:
(x - 7)² + (y - 3)² = radius²

To find the radius, we do either the distance formula from the center to either of the endpoints. Or the distance between the two endpoints divided by two. Depends on which one you want to do. I choose the latter, but it's all personal preference.

Distance formula = √((X2 - X1)² + (Y2 - Y1)²)

So we plug in:

D = √((5 - 9)² + (2 - 4)²)
D = √((- 4)² + (- 2)²)
D = √(16 + 4)
D = √20

Distance of the diameter = 2√5

Now divide that by 2, your radius is √5

Now we plug in to the equation:

(x - 7)² + (y - 3)² = (√5)²

Your final equation is:

(x - 7)² + (y - 3)² = 5

) the supplement of an angle is thirty more than twice the angle. find the measure of the angle and its supplement. answer

Answers

supplementary angle is two angles sharing a 180 degree.

50 x 2 = 100

100 + 30 = 130

130 + 50 = 180

The other angle would be 130 degrees. And the original angle would be 50.

A wheelchair ramp has a slope of 1 10 . if its rise is 1 5 2 feet, what is its run?

Answers

[tex]slope = \frac{rise}{run} \\ 110 = \frac{152}{run} \\ run \times 110 = 152 \\ run = \frac{152}{110} \\ run = \frac{76}{55} \: \: \: \: or \: \: \: 1.38[/tex]

The equation of a circle is (x+9)2+(y+6)2=225 .

What is the center of the circle?

Enter your answer in the boxes.

(
,
)

Answers

You can read off the coordinates of the center of (x+9)2+(y+6)2=225 directly: h= -9 and k= -6, so the center is at (-9, -6).

Answer:

[tex](-9,-6)[/tex]

Step-by-step explanation:

We have been given an equation of a circle [tex](x+9)^2+(y+6)^2=225[/tex]. We are asked to find the coordinates of the center of the given circle.

We know that center-radius form of a circle is in format: [tex](x-h)^2+(y-k)^2=r^2[/tex], where,

[tex](h,k)=\text{Center of circle}[/tex],

[tex]r=\text{Radius of circle}[/tex]

Upon comparing our given equation with center-radius form of a circle we will get,

[tex](x-(-9))^2+(y-(-6))^2=15^2[/tex]

Therefore, the center of our given circle is at point [tex](-9,-6)[/tex].

realtor makes 3% commission. What is the commission on a $200,000 house?

Answers

should be 12,000. unless there are other fees included

3% is the same as 0.03

multiply 200,000 with 0.03

200000 x 0.03 = 6000

$6000 is the commission on a $200,000 house, with the total cost becoming $206,000

hope this helps

How do I solve for X?

Answers

The distance from the external point ^2 = The external segment of the secant * the full length of the secant.
tangent distance = 6
External portion of the secant = 3
Full length of the secant = x + 3

6^2 = 3*(x + 3) Remove the brackets.
36 = 3x + 9 Subtract 9 from both sides.
36 - 9 = 3x
27 = 3x Divide by 3
x = 9 <<<<<<<Answer.

Researchers randomly choose two groups from 15 volunteers. Over a period of 9 weeks, one group watches television before going to sleep, and the other does not. Volunteers wear monitoring devices while sleeping, and researchers record dream activity. Which type of study method is described in each situation?

A. not enough information given
B. survey
C. observational study
D. controlled experiment

Answers

I would say D. controlled experiments

How many eggs are needed to make 1 dozen waffles, assuming you have enough of all other ingredients? given: 2 cups flour + 3 eggs + 1 tbs oil → 4 waffles
a. 12
b. 48
c. none of these choices is correct
d. 9
e. 16?

Answers

We have been given that

2 cups flour + 3 eggs + 1 tbs oil → 4 waffles

In order to make 4 waffles we need 3 eggs.

Thus, to make 1 waffle we need 3/4 eggs.

Now, in 1 dozen there are 12 waffles. Hence, to make 12 waffles we need

[tex]\frac{3}{4} \times 12\\ \\ =3 \times 3\\ =9[/tex]

Therefore, 9 eggs are needed to make 1 dozen waffles.

D is the correct option.

Final answer:

The correct option is (d) 9. Using the given recipe, we can determine that 9 eggs are needed to make 1 dozen waffles by setting up a proportion and solving for the number of eggs.

Explanation:

The original recipe provided states that 2 cups of flour, 3 eggs, and 1 tablespoon of oil will yield 4 waffles. To find out how many eggs are needed to make 1 dozen (12) waffles, we need to set up a proportion based on the given recipe.

Since 4 waffles require 3 eggs, we can set up the following equation: 4 waffles / 3 eggs = 12 waffles / x eggs. Cross-multiplying gives us 4x = 36, and dividing both sides by 4 gives us x = 9. Therefore, 9 eggs are required to make 1 dozen waffles.

Celeste wants to have her hair cut and permed and also go to lunch she knows she will need $95. the perm costs twice as much as her haircut and she needs 5$ for lunch. how much does the perm cost

Answers

Let the haircut cost "x" dollars, Then perm costs "2x" dollars, and 5 dollars for lunch.
now here's the solution:
x + 2x + 5 = 95
3x = 90
x = 30 (haircut)
so 2x = 60 (which is the cost of the perm)

Hope this helps!

There are 750 toothpicks in a regular sized box. If a jumbo box is made by doubling all the dimensions of the regular sized box, how many toothpicks will the jumbo box hold? (With work pls)

Answers

To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.

When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.

Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write

[tex]xyz=750[/tex]

Similarly we can write for the jumbo box as,

[tex](2x)(2y)(2z)[/tex]

which is equal to [tex]8(xyz)[/tex]

So this is 8 times the original of [tex]xyz[/tex]. Hence the jumbo box will have 8 times 750 number of toothpicks.

ANSWER: [tex]8*750=6000[/tex] toothpicks

Answer:

6000

Step-by-step explanation:

Find the volume of the pyramid with height 15 and rectangular base with dimensions 3 and 7.

Answers

the volume of the base is 1.4 how I got the answer is by 3 times 7 that will give you 21 and you do 21 divided by 15 and your answer will be 1.4

Solve 7 + x - 15 = -2
5 1/3
6 1/3
10 2/3
20 2/3

Since the mod decided to delete my question because of a mistake. Please answer. Need it ASAP

Answers

7+x-15=-2

Combine like terms
(7-15)+x=-2

-8+x=-2
+8 +8

x=6

6 is your answer.

Check :
7+6-15=-2

13-15=-2

-2=-2

Correct!

Hoped I helped!

WILL GIVE BRAINLIEST
solve for x

A. 70/6
B. 60/16
C. 6
D. 11

Answers

So a line is 180°
Since it gave you options, the easiest way would be to plug it in (plug and chug)
the answer is 11
first what I did was plug 12 into 5x+10 and then found the answer and then added 58°
the answer of that subtracted from 180
with that I then plugged in 11 for x for 11x+2 = 123
180 - 123 = 57 which is the same answer for the missing angle within the triangle

I don't know how to do this question, help!!

Answers

60-45 = 15 square meters
3.5 - 2.75 = 0.75 hours

0.75 hours / 15 meters = 0.05 hours per meter

One ounce is equal to 28.35 grams. convert 16 ounces to grams round your answe to the nearest tenth

Answers

The amount 16 ounce into grams using the conversion factor 1 ounce = 28.35 grams is 454.2 grams.

To convert ounces to grams, you can use the conversion factor:

1 ounce = 28.35 grams

Now, to convert 16 ounces to grams:

= 16 ounces * 28.35 grams/ounce

= 454.16 grams

Rounding to the nearest tenth:

454.16 grams rounded to the nearest tenth is 454.2 grams.

Therefore, the required quantity is 454.2 grams.

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Final answer:

To convert 16 ounces to grams, we multiply 16 by the conversion factor of 1 ounce to grams (28.35). This gives us 453.6 grams, when rounded to the nearest tenth.

Explanation:

To convert ounces to grams, we use the conversion factor 1 oz = 28.35 g. Given that we are converting 16 ounces to grams, we multiply the number of ounces by the conversion factor.

So, 16 oz * 28.35 g/oz = 453.6 g. Rounding to the nearest tenth, the result is 453.6 g.

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Deon worked 16 hours last week at the grocery store and earned $124.00. If he continues to earn the same hourly pay, how many additional hours must he work to earn another $186.00? A. 20 hours B. 24 hours C. 32 hours D. 62 hours

Answers

The answer is: B. 24 hours. I know this because 124/16= 7.75, Then you do 7.75 × 24= $186. Hope this helps!

Your answer is 24 hours

what is the sum of 2 2/3 and 1 5/6?

Answers

First make each fraction into an improper fraction

2 2/3 = 8/3
1 5/6 = 11/6

Next, make the fractions have same denominators. Note, that what you do to the denominator, you do to the numerator.

8/3(2/2) = 16/6

Add
16/6 + 11/6 = 27/6

27/6 = 4 3/6 = 4 1/2

4 1/2 is your simplified answer

hope this helps

p(x)= x^3+4x^2-8x-6

a= -2

Answers

Unfortunately, you haven't shared the instructions for this problem. My guess is that you are to evaluate P(x)= x^3+4x^2-8x-6 for x = a = -2.

If that's the case, then

P(-2) = (-2)^3 + 4(-2)^2 - 8(-2) - 6. This simplifies to:

= -8 + 16 + 16 - 6 = 18 (answer)

The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set.

Answers

Answer:

The correct option is a.

Step-by-step explanation:

The general form of a quadratic regression equation is

[tex]y=ax^2+bx+c[/tex] ..... (1)

Using graphing calculator we get

[tex]a=-0.143393\approx -0.143[/tex]

[tex]b=0.59525\approx 0.595[/tex]

[tex]c=2.82964\approx 2.830[/tex]

Substitute these values in equation (1) to find the quadratic regression equation for this data set.

[tex]y=-0.143x^2+0.595x+2.830[/tex]

Therefore the correct option is a.

What is tan (x)?

20/21

20/29

29/21

29/20

Answers

Answer is choice A) 20/21

The first step is to use the pythagorean theorem a^2+b^2 = c^2 to find the missing side to be 21. Once you know this, you find the ratio of the opposite and adajcent sides. The opposite side is the leg furthest from the angle x (the side labeled 20). The adjacent side is the leg closest to or touching the angle x (the side labeled 21 which was found earlier).

So, tan(x) = opposite/adjacent = 20/21

Please help math question

Answers

After the 3rd payment, the balance is 702.25.

___
A spreadsheet is useful for figuring the result of payments on loans.

Help

How much will $5,000 invested at 6% compounded annually amount to after 10 years?

Answers

To find one year, here's the equation:
5000 + 0.06(5000)
For 10 years:
5000 + 10(0.06(5000))
Multiply:
5000 + 0.6(5000)
We can make it smaller:
1.6(5000) = 8000
You can make $8000

The side of a square measures 2x^2y^3 what is the area of the square if x=-2 and y=2

Answers

The area of the square is -128.

A bag contains 10 res marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag. what is the approximate probability that exactly two of the five are blue

Answers

One way is to do binomial distribution probability so you can say (5C2) (15/50)^2(1-(15/50))^5-2. This should give you the p(2 yellow)

For an investment of $26,245, a quarterly statement reports that the account balance is $26,292. The statement also reports that for the same quarter, the rate of return on the investment was -0.02%. Given the information regarding the investment's current balance, does the reported rate of return seem reasonable? Use complete sentences to explain your answer.

Answers

The statement reports the investment's value has gone up. That is inconsistent with a negative rate of return, which would mean the value has gone down.

No, the reported rate of return does not seem reasonable.

Answer:

Rate of return is 0.2% positive according to given data. The given rate of return is inconsistent with the given data.

Step-by-step explanation:

The rate of return on the statement is inconsistent with the information given.

As per given data

Investment = $26,245

Account balance = $26,292

Return on the investment

Difference = $26,292 - $26,245 = $47

Investment is increase by $47

Now calculate the percentage of rate of return.

Percentage change = ($47 / $26,245) x 100 = 0.2%

Rate of return is 0.2% positive according to given data. Hence proved that, the given rate of return is inconsistent.

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