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Answer:

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Answer: 14.66 in

Step-by-step explanation:

Answer:

The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].

Step-by-step explanation:

Let [tex]A(x,y) =(-3,6)[/tex] and [tex]B(x,y) = (4,-2)[/tex], when the line segment is quadrasected, it means that segment is divided into four equal parts. The locations are determined by the following expressions:

[tex]\vec R_{1} = \vec A + \frac{1}{4}\cdot \overrightarrow{AB}[/tex] (1)

[tex]\vec R_{2} = \vec A + \frac{1}{2}\cdot \overrightarrow{AB}[/tex] (2)

[tex]\vec R_{3} = \vec A + \frac{3}{4}\cdot \overrightarrow{AB}[/tex] (3)

Where:

[tex]\overrightarrow{AB} = B(x,y)-A(x,y)[/tex]

[tex]\overrightarrow{AB} = (4,-2) - (-3,6)[/tex]

[tex]\overrightarrow{AB} = (7,-8)[/tex]

The coordinated points which quadrasects the line segments joining the points A and B are, respectively:

[tex]\vec R_{1} = (-3,6)+\frac{1}{4} \cdot (7,-8)[/tex]

[tex]\vec R_{1} = \left(-\frac{5}{4},4\right)[/tex]

[tex]\vec R_{2} = (-3,6)+\frac{1}{2} \cdot (7,-8)[/tex]

[tex]\vec R_{2} = \left(\frac{1}{2},2 \right)[/tex]

[tex]\vec R_{3} = (-3,6)+\frac{3}{4} \cdot (7,-8)[/tex]

[tex]\vec R_{3} = \left(\frac{9}{4},0\right)[/tex]

The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].

Answer:

AB = 8

AD = 10

<A = 118

<D = 62

Step-by-step explanation:

1. AB

Because opposite sides in a parallelogram are equal, DC = AB = 8.

2. AD

Because opposite sides in a parallelogram are equal, BC = AD = 10.

3. <A

Adjacent angles are supplementary in a parallelogram, so A = 180 - 62 = 118

4. <D

Opposite angles are equal in a parallelogram, so B = D = 62

Answer:

AB = 8

AD = 10

m∠A = 28°

m∠D = 62°

Step-by-step explanation:

A few facts to remember about a parallelogram.

1.  Opposites sides are congruent

2.  Opposites angles are congruent

3.  Consecutive angles are complementary

So, AB = 8,  AD = 10,  m∠A = 90 - 62 = 28°, m∠D = 62°

Answer:

The answer would be C because n is the number of children and it costs $5.50 per child plus an extra design fee of $45

Step-by-step explanation:

Design = $45

rate per child = $5.50

number of children, x

total cost, f(x) = $5.5x + $45

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

Answer with Explanation:

To qualify as a function, each x value may not have more than 1 Y value.

This rules out A, B, and D.

The answer is C.

Why is A incorrect? -5 (the x value) has more than one y value so it is wrong.

Why is B incorrect? 9 (the x value) has more than one y value so it is wrong.

Why is D incorrect? -7 (the x value) has more than one y value so it is wrong.

You can also use the vertical line test to graph these pairs. Then, test by drawing a vertical line through the graph. If the vertical line goes through more than 1 pair, it is not a function.

Answer:

40%

Step-by-step explanation:

Total entries=  180

Entries from 6th grade= 72

Percentage = 72/ 180 x 100= 40%

Hope its right!!!

Answer:

Step-by-step explanation:

To find the slope you need to follow the formula shown below.

Slope (m) = ΔY/ΔX

Now solve

ΔY = 6 – 0 = 6

ΔX = 2 – 0 = 2

Write as a fraction

6/2

Convert to a number

6/2 = 3

And you have your slope. Now you just have to plot the points on the graph. As I said before, you can use any two points from the table.

Answer:

40%

Step-by-step explanation:

Answer:

59,09

.........................................................

Answer:

The answer is B. 4,7.5,8

Step-by-step explanation:

Becouse A and C Both of them is Right-angled triangle and D is Obtuse triangle

Answer:

alex

Step-by-step explanation:

Answer:

she can fill 6 if them

Step-by-step explanation:

2/3 ÷ 4 = 1/6

Answer:

x-axis

Step-by-step explanation:

y = 0==> x-axis

Answer:

the answer would be x-axis

Answer:

should be B

Step-by-step explanation:

however tax rate is different in different states sooo

Answer:

63 square units

Step-by-step explanation:

Area of the rhombus = Base × Height

Given

Base = x = 9unit

Height = h = 7units

Substitute into the formula

Area of the rhombus = 9×7

Area = 63units²

Hence the required area of the rhombus is 63 square units

Answer:

if the drawing length is 5 inches, the actual length in feet would be 12.5 ft

Step-by-step explanation:

2 inches = 5 ft

1 inch = 2.5 ft

5*2.5=12.5 ft as final answer.

hope it helps

Answer:Isolate the variable by dividing each side by factors that don't contain the variable.

d=−5

Step-by-step explanation:

Answer:

The answer is 170 meters

Step-by-step explanation:

hope it helps :)

Answer:

27

Step-by-step explanation:

The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )

After Alice eats 3 purple sweets, then ratio is

5 : 3 = 5x : 4x - 3

Express the ratio in fractional form, that is

[tex]\frac{5}{3}[/tex] = [tex]\frac{5x}{4x-3}[/tex] ( cross- multiply )

5(4x - 3) = 15x

20x - 15 = 15x ( subtract 15x from both sides )

5x - 15 = 0 ( add 15 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Then

number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27

Answer:

14 dimes and 17 quarters

Step-by-step explanation:

d and q are the number of dimes and quarters, respectively.

"31 coins, all of which are dimes and quarters."

d+q = 31

d = 31-q

"the value of the coins is $5.65"

0.10d + 0.25q = 5.65

substitution

0.10(31-q) + 0.25q = 5.65

3.10-0.10q + 0.25q = 5.65

0.15q = 2.55

q = 17

d = 31-q = 14

14 dimes and 17 quarters

Answer:

[tex]m= 20b-45[/tex]

Step-by-step explanation:

Given data

The difference between the amount she sells each birdhouse for and the cost of supplies to build each birdhouse is $20

This means that her profit = $20

the number of birdhouses = b

cost of tools= $45

Hence the amount she earns from selling b houses is given as

[tex]m= 20b-45[/tex]

The area of the triangle ABC is 34.2 square centimeters

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

Read more about areas at:

https://brainly.com/question/24487155

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Answer:

4

Step-by-step explanation:

The value of the hypotenuse x will be equal to √6.

Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities. The Pythagorean Theorem serves as the basis for some of the most popular trigonometric identities, including.

The study of correlations between triangles' side lengths and angles is known as trigonometry.

Given that the angles are 45 and the base is √3 the hypotenuse will be calculated as,

cosθ = Base / Hypotenuse

cos45 = √3 / x

x = √3 / ( 1 / √2)

x = √6

Therefore, the value of the hypotenuse x will be equal to √6.

To know more about trigonometry follow

https://brainly.com/question/24349828

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Answer :-

9(3+√3) feet

Step by step explanation :-

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

In ∆ABC ,

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

Again In ∆ ABC ,

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

Answer:

33493.33

Step-by-step explanation:

Answer:

£503.75

Step-by-step explanation:

Andy is buying a car.

Step 1

We calculate the decrease

He negotiated a 7% decrease on a £6 500 car.

Decrease = 7% × £6500

= $455

Step 2

We calculate the new price of the car.

= Old price - Decrease

= £6500 - £455

= £6045

Step 3

We calculate the amount he pays every month.

We are told that:

He will pay the full balance in 12 equal monthly payments.

Andy's monthly payments =

New price/12 months

= £6045/12

= £503.75

Therefore, the amount he would be paying each new month = £503.75