-x^2+4x-8
axis of symmerty​

Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.

To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.

If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.

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The side b is approximately 80.02 feet in length. In a right triangle ABC with angle C equal to 90°, if angle B is 37.56° and side a is 49.94 feet, we can solve for side b using the trigonometric function sine.

First, we can label the triangle as follows:

Side a is opposite angle A,

Side b is opposite angle B,

Side c is the hypotenuse.

Let's label the triangle with the given and asked for information. Angle C is the right angle, angle B is 37.56°, side a is 49.94 feet, and side b is the side we are trying to find.

Using the sine function, we have:

sin(B) = opposite/hypotenuse

sin(37.56°) = a/b

Now we can substitute the known values:

sin(37.56°) = 49.94/b

To solve for b, we rearrange the equation:

b = 49.94 / sin(37.56°)

Using a calculator, we find:

b ≈ 80.02 feet.

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Answer:

Answers are below in bold

Step-by-step explanation:

1) A = 1/2bh          Use this equation to find the area of each triangular base

A = 1/2(8)(6)         Multiply

A = 1/2(48)           Multiply

A = 12cm²           Area of each triangular base

2) A = L x W        Use this equation to find the area of the bottom rectangular face

A = 20 x 8          Multiply

A = 160 cm²       Area of the bottom rectangular face

3) A = L x W        Use this equation to find the area of the back rectangular face

A = 20 x 6          Multiply

A = 120 cm²       Area of the back rectangular face

4) A = L x W        Use this equation to find the area of the sloped rectangular face

A = 20 x 10         Multiply

A = 200 cm²      Area of the sloped rectangular face

5) To find the total surface area of the triangular prism, add together all of the numbers.

A = 12 + 12 + 160 + 120 + 200       Add

A = 504 cm²       Total area of the triangular prism

Answer:

Angle ABD =24 =angle DBC

Angle ABC =48

Answer:

when a line bisectes a angle it divides the angle into 2 equal parts.

angle abd=angle cbd

(3x+6)°=(7x-18)°

6+18=7x-3x

24=4x

24/4=x

6=x

angle abd=(3x+6)°

by putting value of x.

3×6+6

angle abd=24°

angle cbd=(7x-18)°

7×6-18

angle cbd=24°

angle abc=24°°+24°

angle abc =48°

For the given triangles:

(1) x = 5.4

(2)  x  =  √23

(3) θ = 25.84 degree

(4)   x = 9.5

(5) n = 41

(1) In the given triangle,

One angle = 16 degree

Perpendicular = x

Hypotenuse    = 20

Since we know that

Sinθ = opposite side of θ/hypotenuse

Therefore,

⇒ sin 16 = x/20

⇒   0.27 = x/20

⇒         x = 5.4

(2)  In the given triangle,

Hypotenuse = 12 km

Base = 11 km

perpendicular = x

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (12)²= (x)² + (11)²

⇒ 144 = (x)² + 121

⇒   x² =  23

Taking square root both sides we get,

Hence,

⇒   x  =  √23

(3) In the given,

Base = 20

Perpendicular = 42

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (Hypotenuse)² =  (42)² + (20)²

⇒ (Hypotenuse)² =  2164

Taking square root both sides,

⇒ (Hypotenuse)  = 46.51

⇒ cosθ = Adjacent/hypotenuse

             = 42/46.51

             = 0.90

Taking inverse of cosθ,

⇒ θ = 25.84 degree

(4) In the given triangle,

One angle = 30 degree

Base = x

Hypotenuse    = 11

Since we know that

cosθ = Adjacent/hypotenuse

Therefore,

⇒ cos 30  = x/11

⇒   √3/2 = x/11

⇒         x = 9.5

(4) In the given triangle,

Base = 40

Perpendicular = 9

Hypotenuse = n

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒  n² = 9² + 40²

⇒  n² = 81 + 1600

⇒  n² = 1681

⇒  n = 41

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Answer:

1

Step-by-step explanation:

2 divided 18 equal 9. Which means X would equal 9.

Answer:

4x² + 13x + 3 and 2x² - 3x - 17

Step-by-step explanation:

(a)

f(x) + g(x)

= 3x² + 5x - 7 + x² + 8x + 10 ← collect like terms

= 4x² + 13x + 3

(b)

f(x) - g(x)

= 3x² + 5x - 7 - (x² + 8x + 10)

= 3x² + 5x - 7 - x² - 8x - 10 ← collect like terms

= 2x² - 3x - 17

Answer: you need to add

Step-by-step explanation: I would ask your teacher to help you understand the lesson.  

Answer:

here lol https://imageshare.best/8R2I7D

Step-by-step explanation:

A minimum population size of approximately 7373 to achieve a 99% confidence interval with a margin of error of 3 and a known standard deviation of 100.

To calculate the minimum population size required to achieve a 99% confidence interval with a margin of error of 3 and a known standard deviation of 100, we can use the following formula:

n = [(z-value × SD) / ME]²

Where:

n = the minimum sample size required

z-value = the critical value for the desired confidence level (99% in this case)

SD = the known standard deviation (100 in this case)

ME = the desired margin of error (3 in this case)

First, we need to determine the z-value for a 99% confidence level. Using a standard normal distribution table, we find that the z-value for a 99% confidence level is approximately 2.576.

Substituting the values into the formula, we get:

n = [(2.576 × 100) / 3]²

Simplifying this expression, we get:

n = 7373.08

Therefore, we would need a minimum population size of approximately 7373.

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Answer:

136 minutes

Step-by-step explanation:

The amount that Joe pays is in two parts. He pays a definite amount for the month plus the amount per minute charge.

Thus,

Joe's monthly fee = $3 + $0.11n

where n is the number of minutes.

Joe's bill for the month = $17.96

So that,

$17.96 = $3 + $0.11n

$17.96 - $3 = $0.11

14.96 = $0.11n

n = \(\frac{14.96}{0.11}\)

  = 136

The number of minutes that Joe was billed is 136.

In this case, Joe was billed for 136 minutes for the month.

The correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.

Prime numbers:-

The prime number is defined as the number which is divided by 1 and itself.

Composite numbers:-

The number is defined as the composite number when the number is divided by 1 itself and any other numbers also.

From the given options we need to choose the pattern of the series { prime, prime, prime, composite, prime, prime } so we can see that in option A correct pattern is followed.

Pattern { 1, 5, 7, 9, 11, 13 }

1   → prime

5  → prime

7  → prime

9  → composite

11  → prime

13 → prime

Therefore the correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.

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Answer:

No

Step-by-step explanation:

because it doesn't pass through the origin.

Answer:

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

<95141404393>

Answer:

2.388,16

Step-by-step explanation:

The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

Here, we have,

we know that,

The sum of the angles in a triangle add to 180

x+2x+6x = 180

Combine like terms

9x= 180

Divide by 9

9x/9 = 180/9

x = 20.

Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

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complete question:

The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.

Using the pattern, n can represent the the increase of dots according to step.

In the given question we have to find what values make sense for n in this situation.

n is representing the number.

As we can see that there is a pattern given.

In the step 1 have 1 dot, in step 2 have 3 dots, in step 3 have 6 dots and in step 4 have 10 dots.

So if we see the pattern then according to number of step the dots increasing accordingly.

As In step 1 have 1 dot, in step 2, 2 dots increase, in step 3, 3 dots increase and in step 4, 4 dots increase.

So, n can represent the the increase of dots according to step.

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Answer:

(2 10^(1/3))/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

64/1000

Answer and Step-by-step explanation:

The square root of 16 times x to the power of 6 times y to the power of 10 is the same as:

\(\sqrt{16x^{6} y^{10} } = \sqrt{16} * \sqrt{x^{6} } * \sqrt{y^{10} }\)

The square root of 16 is 4.

The square root of x to the power of 6 is x to the power of 3.

The square root of y to the power of 10 is x to the power of 5.

So, the answer is:

\(4x^{3} y^{5}\)

Hope this helps!

#teamtrees #WAP (Water And Plant)

Using the substitution method, the values of x and y are 1 and 10 respectively

There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations.

The given equations are

4x + y = 14

y=8+2x

By substitution, put y=8+2x in equation 1

4x+8+2x=14

6x=14-8

6x=6

x=1

Recall that y=8+2(1)

y=8+2

Therefore the value of y=10

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The values are given as;

x = 1

y = 10

From the information given, we have that;

4x + y = 14

y = 8 + 2x

Substitute the value of y in equation (1), we get;

4x + 8 + 2x = 14

collect the like terms

4x + 2x = 14 - 8

Add or subtract the like terms

6x = 6

Make 'x' the subject

x = 1

Substitute the value

y = 8 + 2x

y = 8 + 2(1)

expand the bracket

y = 8 + 2

Add the values

y = 10

Hence, the values are 1 and 10

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The equation in standard form when the line is passing through point (0,-3) and parallel to x - 5y = 75 is 5y - x + 15

What is equation of a straight line ?

Equation of straight line as follows , y = mx + b

where m is the slope of line.

Given equation ,

x - 5y = 75

and the points are (0,-3)

First lets find the slope of a line

we get,

x - 5y = 75

5y = x - 75

y = 1/5 x  - 15

m = 1/5

Here the point (0,-3) and slope m = 1/5
Therefore,

The equation of the line

y + 3  = 1/5  (x-0)

5y + 15 = x

5y - x + 15

Therefore, The equation in standard form when the line is passing through point (0,-3) and parallel to x - 5y = 75 is 5y - x + 15

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Answer: 4 pages

Step-by-step explanation:

To solve this problem, we need to use the formula:

Rate = Output/Time

Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.

Rate = 2 pages/(1/8 hour) = 16 pages/hour

Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.

Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages

Therefore, Ethan can type 4 pages before the meeting starts.

Answer: 4 pages

Answer:

12

Step-by-step explanation:

Find 3/5 of 20, or 60% of 20

60%=0.60

0.60*20=12

So Delpha buys 12 packs of bubble gum.

51.25 per month which is $615 per year

They save 5 per month if they pay full year

(51.25-5)= 46.25 per month is $555

so it costs $555 if they pay all at once.

Answer:

mine is the same answer $555

Answer:

At most one of the adults has high blood pressure.

Step-by-step explanation:

Answer:

1) x<2.5 2) x<2.5 (both are smaller numbers than 2.5)

Step-by-step explanation:

I'm sure there is a easier way to figure this question out but how I did is by simply imputing numbers smaller or bigger into where the x is. For example, I imputed 3 into -4x+5>-5. So, -4(3)+5>5, = -7>5, this is false, so x must be smaller than 2.5 in order for this to be true.

The required leaves values for the given stems are calculated below.

A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.

For example , 42, 34, 48, and so on.

Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.

Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.

4| 2, 8

3| 4

65​, 40​, 47​, 47​, 33​, 55​, 44​, 49​, 46​, 22​, 58​, 65​, 56​, 41​, 63​, 65​, 54​, 42​, 58​, 29​, 39​, 66 ​, 49​, 42​, 34​, 36​, 42​, 35​, 21​, 44​, 61​, 35​, 33​, 42​, 27​, 30​, 46​, 33​, 35​, 58.

As given in the question that the stem and Leaves are to be separated by a hyphen.

Stem-and-Leaf plot 6 -  5, 5, 3, 5, 6, 1

5 -  5, 8, 6, 4, 8, 8

4 -  0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6

3 -  3, 9, 4, 6, 5, 5, 3, 0, 3, 5

2 -  2, 9, 1, 7

As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.

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