There is a line that includes the point (9, 1) and has a slope of -8. What is its equation in
point-slope form?

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.

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Answer:

f=−px+8x−2/x

Step-by-step explanation:

its a fraction

What 8?

There is no 8 in the problem.

The answer is not a specific value for n.

3n < 18

Divide both sides by 3.

3n/3 < 18/3

n < 6

ANSWER: n < 6

What does the answer mean?

It means that n must be less than 6 to make the original inequality a true statement.

Answer:

825 g

Step-by-step explanation:

Here's my work:

500g Cl2 l   1mol Cl2  l  2 mol NaCl   l  58.5 g NaCl

                l   71 g Cl2    l  1 mol Cl2      l    1 mol NaCl  

= 823.94  - the rounding can be a little off

The first thing you have to do is convert the 500 g of Cl2 into moles.  So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71.   now on the third column you are comparing the mol ratios of the equation.  The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a  coefficient of 2 in front of NaCl so that means there is 2 moles.  Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl .  You multiply across the top  and then divide that number by the bottom row.

Answer:

7+18=25 that's the answer

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:

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:

2 • (x + 1) • (x - 2)

Step-by-step explanation:

2 times (x + 1) times (x - 2)

Answer:

Step-by-step explanation:

The area of the rectangle is 240 square inches if the length of a rectangle is  8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

The length of a rectangle is  8 inches longer than the width. If the ratio of the length to the perimeter is 5:16

As we know, the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

Let l and w be the length and width of the rectangle:

l = 8 + w

w = l - 8

l/P = 5/16  (the length to the perimeter is 5:16)

P is the perimeter of the rectangle.

P = 2(l + w)

l/[2(l + w)] = 5/16

16l = 10(l + w)

8l = 5(l + l - 8)

8l = 10l - 40

2l = 40

l =20 inches

w = 20 - 8 = 12 inches

Area = 20x12 = 240 square inches

Thus, the area of the rectangle is 240 square inches if the length of a rectangle is  8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.

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Answer:

It would be 6.05m tall.

Answer:

B

Step-by-step explanation:

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°

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

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Answer:

59,09

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

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:

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:

40%

Step-by-step explanation:

Total entries=  180

Entries from 6th grade= 72

Percentage = 72/ 180 x 100= 40%

Hope its right!!!

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:

1692.5 ft³

Step-by-step explanation:

Thank you for giving the equation which would help me in solving. We know that our h which is the height is 11 ft. We have to find what the radius. Radius is the have of the diameter. In the figure, the 14 ft is the diameter. So in order to find the radius, we would divide it by 2.

14 ft ÷ 2 = 7 ft

h = 11 ft

r = 7 ft

Now plug it in the equation.

[tex]\pi[/tex]

In the equation you have this sign above. Remember this is the pi sign which is 3.14.

V = 3.14r²h

V = 3.14(7)² × 11

V = 3.14(49) × 11

V = 153.86 × 11

V = 1692.5 ft³

Hope this helps, thank you :) !!

Answer:

40%

Step-by-step explanation:

Answer:

120, remember the angles have to add up to 180

Step-by-step explanation:

Answer:

60 because 30+30=60 and a triangle is 180° so 180-60= 120 and it's a line so 180-120=60 ifykyk

Answer:

slope is 5 y intercept is -6

Step-by-step explanation:

Answer:

x = 17.5

Step-by-step explanation:

[tex] \frac{16}{10} = \frac{28}{x} [/tex] (angle bisector theorem)

Cross multiply

16 × x = 28 × 10

16x = 280

Divide both sides by 16

x = 280/16

x = 17.5

Step-by-step explanation:

‌[tex]\large \mathcal{Answer}[/tex]

Answer:

Ils sont amicaux, regardez sur le site nosdevoirs

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

d=−5

Step-by-step explanation:

Answer:

should be B

Step-by-step explanation:

however tax rate is different in different states sooo

Answer:

[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]

Alternative method:

[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]

Answer:

thr percent decrease is 15%

Step-by-step explanation:

you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%

Answer:

22 bags

Step-by-step explanation:

Multiply 5 1/2 by 4 and you'll get 22

Answer:

22 bags

Step-by-step explanation:

5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4