Let AB be the directed line segment beginning at point A(5 , 5) and ending at point B(19 , 16). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:2.

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

[tex]y = 11 + x[/tex]

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

[tex]y^2 = x^2 + x^2[/tex]

[tex]y^2 = 2x^2[/tex]

This gives:

[tex](11+x)^2 = 2x^2[/tex]

Open bracket

[tex]121 + 22x + x^2= 2x^2[/tex]

Collect like terms

[tex]2x^2 - x^2 -22x - 121 = 0[/tex]

[tex]x^2 -22x - 121 = 0[/tex]

Using quadratic formula:

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

[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]

[tex]x = \frac{22\±31.11}{2}[/tex]

Split

[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]

[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]

x can not be negative.

So:

[tex]x = \frac{53.11}{2}[/tex]

[tex]x = 26.56[/tex]

Recall that:

[tex]y = 11 + x[/tex]

[tex]y = 11 + 26.56[/tex]

[tex]y = 37.56[/tex]

Hence, the dimensions are:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Answer:

20 oatmeal cookies

Step-by-step explanation:

5/6 is the same as 20/24, thus 20.

Answer:

this is not a complete question cause u did not give full numbers

Step-by-step explanation:

not trying to steal points can u finish the question

Answer:

0.28

Step-by-step explanation:

28 divided by 100=0.28

Answer:0.28m

Step-by-step explanation:

Answer:

6th period.

Step-by-step explanation:

Answer:

D;the tropical ostrich runs at a speed of about 36 miles per hour

Answer: It is D, The typical ostrich runs at a speed of about 36 miles per hour.

Step-by-step explanation:

I took the quiz on A p e x^^

Answer:

Jehle is correct.

Step-by-step explanation:

Given - Jehle and Liam a both solving 0.5÷200.

Jehle says the quotient will be Less than 0.5.

Liam says the quotient would be more than 0.5

To find - Which student is correct ?

Proof -

Given expression is 0.5 ÷ 200

It is equivalent to

[tex]\frac{0.5}{200} = \frac{5}{2000} = \frac{1}{400}[/tex] = 0.0025 < 0.5

∴ we get

The expression is Less than 0.5

So, Jehle is correct.

Answer:

3. Put the data in order from least to greatest

Answer; A B and C are the correct answers also please do not follow the other links answer

Step-by-step explanation:

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

Answer:

i could only get part one done

Step-by-step explanation:

Perimeter is a measurement of the distance around a shape and area gives us an idea. Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet

Answer:

20 m

Step-by-step explanation:

Given :

Leveling cost per square meter = 15

Total leveling cost = 6000

Number of square park leveled :

Tottal cost / unit cost

6000 / 15

= 400 m²

The length of one side of the square

Area of square = s²

where, s = side length

400 = s²

Sqrt(400) = s

s = 20 m

Length of one side = 20 m

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

34.50

Step-by-step explanation:you multiply 17.25 times two because thats the amount of bags there is so that will give you 34.50

Answer:

23.04

Step-by-step explanation:

A = a^2

A = 4.8^2

A = 23.04

Have a lovely day! <3

Answer:

it a

Step-by-step explanation:

Answer:

14 on the bottom and 6 going up and down and then you complete the triangle make the other up and down side 6 so it makes a triangle not a sideway one

There are 11 possible values of side x, which are 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

The side lengths of the triangle,

a = 6 inches and b = 14 inches.

A triangle is formed when the length of third side is greater than difference of two sides and less than sum of two sides.

Let the third side is x,

So, the possible values of x could be,

14 - 6 < x < 14 + 6

8 < x < 20

The values of x can be 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.

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Answer:

12

Step-by-step explanation:

lower quartile is the median of 11, 12, and 16

Answer:

D. 216 cm

Step-by-step explanation:  

1. I assume 14 is a 22 is b and 12 is h

2. Trapezoid Area Formula

[tex]A = \frac{1}{2}(a+b)h[/tex]

3. Plug in numbers

[tex]A = \frac{1}{2}(14+22)12[/tex]

[tex]216 = \frac{1}{2}(14+22)12[/tex]

What in the flipping Jeapordy is this, but anyway:

1) Simran needs a 65% to score an 80 test average

2) The length is 13 centimeters

3) Jake purchased 4 gadgets

4) 100 candles would need to be sold

5) You bought 3 drinks

Answer:

Step-by-step explanation:

miss girl you need homework plugs sorry queen have a good day

Answer:

- ( 5x + y ) ( x + 5y )

or

-5x^2 - 5y^2 - 26xy

Answer:

Step-by-step explanation:

4(x^2-2xy+y^2)-9(x^2+2xy+y^2)

4x^2-8xy+4y^2-9x^2-18xy-9y^2

-5x^2-26xy-5y^2

-5x^2-xy-25xy-5y^2

-x(5x+y)-5y(5x+y)

(-x-5y)(5x+y) or you can also remove the negative one to get

-(x+5y)(5x+y)

The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.

The formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:

B = T/39

This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.

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Answer:

I have no idea. But I just want to let you know to not put this many points, because people are going to take them without answering the question. And I don't know the answer because there are multiple x's.

Answer:

x = 8

Step-by-step explanation:

Remark

I agree with the other responder. You need only pay 20 points to get our attention. (20 will give us 10).

The length from the intersect point to the circle times the entire length of the secant is equal to any other secant divided up the same way.

Put simpler

Equation

(x + 2)(x + 2 + 2x- 8) = (x + 1)(x + 1 + 2x - 5)

Combine like terms

Solution

(x + 2)(3x - 6) = (x + 1)(3x - 4)                    Remove the brackets on both sides.

3x^2 + 6x - 6x - 12 = 3x^2 + 3x - 4x - 4   Combine the like terms

3x^2 - 12 = 3x^2 - x - 4                             Subtract 3x^2 from both sides

- 12 = - x - 4                                               Add 4 to both sides

-12 +4 = - x

- 8 = - x                                                      Multiply both sides by -1

x = 8

Answer:

It's actually B

Step-by-step explanation:

The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B

Answer: [tex]64.2^{\circ}[/tex]

Step-by-step explanation:

According to the cosine rule

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]

Putting values

[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]

So, the ship turns by [tex]64.2^{\circ}[/tex] north of west

The ship turned an at angle of 64.2 degrees north of west

Represent the angle, the ship turned due north of west with theta.

From the figure, we have the following equation

[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]

So, we have:

[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]

Evaluate the expression on the right-hand side

[tex]\cos(A) = -0.4350[/tex]

Take the arc cos of both sides

[tex]A = \cos^{-1}(0.4350)[/tex]

[tex]A =115.8^o[/tex]

The value of theta is then calculated as:

[tex]\theta = 180 -A[/tex]

This gives

[tex]\theta = 180 -115.8^o[/tex]

[tex]\theta = 64.2^o[/tex]

Hence, the ship turned an at angle of 64.2 degrees north of west

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Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Answer:

gf(5) = -8

Step-by-step explanation:

gf(x) = g(x^-1) = x^2 + 6x - 8

f(x) = 2x - 10

gf(x) = 6(2x - 10) - 8

gf(x) = 12x - 60 - 8

gf(x) = 12x - 68

gf(5) = gf(x) = 12x - 68

gf(5) = 12(5) - 68

gf(5) = 60 - 68

gf(5) = -8

Answer: 1=60°

Step-by-step explanation:

First, let's take our given angle of 30°

30° is in a right triangle, so the angles must be 90°, 60°, and 30°

Now the angle that is 45° makes angle 1 congruent to angle 60°

Meaning angle 1 is 60°

Answer:

m < 1 = 60

Step-by-step explanation:

Since the transversal is perpendicular to m,

it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.

We use vertically opposite angles property to bring m<1 in to the right triangle.

We now use the sum of interior angles property to obtain,

m < 1 + 30 + 90 = 180

This implies that,

m  < 1 + 120 + 180

We group like terms to obtain,

m < 1 = 180 - 120

This means that,

m < 1 = 60

We could have also used corresponding angles property, then

m < 1 + 30 = 90

m < 1 = 90 - 30

m < 1 = 60