1. Using the figure below, what is the measure of angle ABE?

Answer:

see explanation

Step-by-step explanation:

This is an example of the Altitude - on - Hypotenuse theorem.

The altitude that is perpendicular to the hypotenuse of a right triangle.

The two triangles formed are similar to the given triangle and to each other.

x² = (smaller part) × (larger part) of main hypotenuse

x² = 6 + 19 = 114 ( square root both sides )

x ≈ 10.68 ( nearest hundredth )

---------------------------------------------

y² = ( smaller part) × (whole part) of main hypotenuse

y² = 6 × 25 = 150 ( square root both sides )

y ≈ 12.25 ( nearest hundredth )

--------------------------------------------

z² = ( larger part) × (whole part) of main diagonal

z² = 19 × 25 = 475 ( square root both sides )

z ≈ 21.79 ( nearest hundredth )

Answer:

[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]

Required

Which of the above is a quadratic function

A quadratic function has the following form;

[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function

[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]

This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]

[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]

Unlike the quadratic function where [tex]a\neq 0[/tex]

So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition

Answer:

$3,552.00

Step-by-step explanation:

First, you need to multiply 222 by 5. You will get 1110. Next, you need to multiply 222 by 10. You will get 2220. Now you take the 222 1 dollar bills and add it to the 1110 dollars, then add the 2220 to that. You will get the final number of 3552.

Here's the equation in what I call "Long Boi Form:"

222x5=1110 222x10=2220 1110+2220+222=3552

Here's the equation in what I call "Short Boi Form:" [Use this only if you

know PEMADAS!!!]

222+(222x5)+(222x10)=3552

Answer:

b

Step-by-step explanation:

Answer:

vertex is (2,-5)

Step-by-step explanation:

y = a(x – h)^2 + k

the  vertex is (h,k) in the equation h =2 and k = -5

Answer:

[tex]x =6[/tex]

Step-by-step explanation:

Given

Bisected Sector AB;

AP = 15x - 11

PB = 9x + 25

Required

Find x

When a sector is bisected, it means the sector is divided equally into two;

Hence [tex]AP = PB[/tex]

This gives

[tex]15x - 11 = 9x + 25[/tex]

Add 11 to both sides

[tex]15x - 11 + 11 = 9x + 25 + 11[/tex]

[tex]15x = 9x + 25 + 11[/tex]

[tex]15x = 9x + 36[/tex]

Subtract 9x from both sides

[tex]15x - 9x = 9x + 36 - 9x[/tex]

[tex]15x - 9x = 9x - 9x + 36[/tex]

[tex]6x = 36[/tex]

Divide through by 6

[tex]\frac{6x}{6} = \frac{36}{6}[/tex]

[tex]x = \frac{36}{6}[/tex]

[tex]x =6[/tex]

Hence, the value of x is 6

Answer:

x=6

Step-by-step explanation:

15x-11=9x+25

15x-9x=25+11

6x=36

x=6

Answer:

[tex]x=\frac{14}{3}[/tex]

Step-by-step explanation:

Open the brackets.

[tex]4x +\frac{4}{3}=20[/tex]

[tex]4x=\frac{56}{3}[/tex]

[tex]x=\frac{14}{3}[/tex]

Answer:

So first we need to divide both sides by four. The four on the left side will cancel out and the right side will become 5. Next we have

x+1/3=5

Now we need to subtract both sides by 1/3. The 1/3 will cancel out and the 5 will become 4 2/3.

All we will be left with is x

x = 4 2/3

the answer is 3628800    

The solution to the equation "1x2x3x4x5x6x7x8x9x10" is 362,880.

This is a factorial, which is the product of all the positive integers less than or equal to a given number. In this case, the factorial is 10!, which is the product of all the positive integers less than or equal to 10.

To calculate 10!, use the following formula:

n! = n × (n - 1) × (n - 2) × ... × (3) × (2) × (1)

where n is the number to be taking the factorial of.

In this case, n = 10, so:

10! = 10 × (9) × (8) × (7) × (6) × (5) × (4) × (3) × (2) × (1) = 362,880

Therefore, 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 362,880.

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Answer:

[tex]\mathrm{F}[/tex]

Step-by-step explanation:

[tex]y+8=4(x-5)[/tex]

[tex]x=5\\y=-8[/tex]

[tex](-8)+8=4((5)-5)[/tex]

[tex](-8)+8=4(0)[/tex]

[tex]0=0[/tex]

Answer:

y=2+√28+4x

Step-by-step explanation:

====================================================

Work Shown:

The two angles shown are a linear pair. They are adjacent and supplementary. Supplementary angles add to 180 degrees.

(4x-5)+(x+40) = 180

5x+35 = 180

5x = 180-35

5x = 145

x = 145/5

x = 29

--------

As a check, if x = 29, then

4x-5 = 4*29-5 = 116-5 = 111

x+40 = 29+40 = 69

The two angles are 69 and 111 degrees which add to 69+111 = 180, which helps confirm the answer.

Answer:

x = 29

Step-by-step explanation:

The two angles with measures are a linear pair.

Angles in a linear pair are supplementary, so their measures add to 180 deg.

4x - 5 + x + 40 = 180

Combine like terms on left side.

5x + 35 = 180

Subtract 35 from both sides.

5x = 145

Divide both sides by 5.

x = 29

Answer:

A' = (2,4)

Step-by-step explanation:

I know this because it's the opposite of (-2,4)

Answer:

(-2, -4)

Step-by-step explanation:

Answer:

∠ ABC = 134°

Step-by-step explanation:

Given tat CD bisects ∠ ABC then

∠ DBC = ∠ ABD , substitute values

x - 33 = [tex]\frac{x}{2}[/tex] + 17 ( multiply through by 2 to clear the fraction )

2x - 66 = x + 34 ( subtract x from both sides )

x - 66 = 34 ( add 66 to both sides )

x = 100

Thus

∠ DBC = ∠ ABD = x - 33 = 100 - 33 = 67°

Hence

∠ ABC = ∠ DBC + ∠ ABD = 67° + 67° = 134°

Answer:

At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.

Based on you doing so we take the 56-40 = 16 range

If you haven't included outside numbers

We take the 63-29 = 34 range

Step-by-step explanation:

Answer:

The answer is 1846.32 units³.

Step-by-step explanation:

Given that the base of a cone is a circle so the area of circle is A = πr². You have to substitute the following values into the formula :

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Let π = 3.14,

Let r = 14,

Let h = 9,

[tex]v = \frac{1}{3} \times 3.14 \times {14}^{2} \times 9[/tex]

[tex]v = 1846.32 \: {units}^{3} [/tex]

Answer:

216

Step-by-step explanation:

12 × 18 = 216 :)) !!!!

Answer:112 years, you see a pattern of multiplying by 2, take 224 and divide it by 2 and you get 112

Step-by-step explanation:

Step-by-step explanation:

Well seeing as each year the amount of Trees Doubled (7+7=14 and 14+14=28)

We can Infer that each year afterwards it will do so.

So 1 year from now 28+28 = 56

2 years from now 56 + 56 = 112

And finally at 3 years 112+112 we arrive at our answer 224

Answer: So it would take 3 years to get to get to 224

Answer:

There are 11 g of drink mix for every ounce of water.

Step-by-step explanation:

In order to calculate the unit rate in grams of drink mix for ounces of water of any type of drink, we need to divide the mass of drink mix in grams by the mass of water in ounces. In this case there are mixed fractions, we will first convert them to fractions, to do that we sum the fraction part with the integer one.

[tex]mix = 19 + \frac{1}{4}\\\\mix = \frac{77}{4}[/tex]

[tex]water = 1 + \frac{3}{4}\\\\water = \frac{7}{4}[/tex]

The rate is:

[tex]rate = \frac{mix}{water}\\\\rate = \frac{\frac{77}{4}}{\frac{7}{4}}\\\\rate = \frac{77}{7}\\\\rate = 11[/tex]

There are 11 g of drink mix for every ounce of water.

Answer:

There are 11 g of drink mix for every ounce of water.

Answer:

C) 1/5

Step-by-step explanation

When one line has a slope of m, a perpendicular line has a slope of  −1/m

Answer:

x=23

Step-by-step explanation:

6x + 5 = 4x + 51

Take away 4x from both sides

2x + 5 = 51

Take away 5 from both sides

2x = 46

Divide both sides by 2

x=23

Answer: x=23

explanation: First thing you need to do is rearrange the equation so that like-terms are together. To avoid negative numbers, subtract 5 from both sides of the equation (subtraction property of equality), and subtract 4x from both sides (subtraction property of equality). You're equation would then be 2x=46. Divide both sides (division property of equality) by 2 to isolate your variable of x. You'll be left with a final answer of x=23.

Answer:

A y= -2x+3

Step-by-step explanation:

The plus 3 bring the line up 3. The negative makes the line moving down left to right. The 2 stretches the line by two.

The equation of the line in slope-intercept form is: A. y = -2x + 3.

Thus, find the slope (m):

Slope (m) = change in y/change in x = -2/1 = -2

y-intercept (b) = point on the y-axis where the line intersects the y-axis = 3.

Therefore, substitute b = 3 and m = 2 into y = mx + b:

y = -2x + 3

Therefore, the equation of the line in slope-intercept form is: A. y = -2x + 3.

Learn more about slope-intercept form on:

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Answer:

[tex]\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}[/tex]

Step-by-step explanation:

\frac{1}{x+2}-\frac{1}{3}  =\frac{1}{x^2 +5x+6}

Answer:

[tex]$\frac{2}{3x} +\frac{7}{5y} $[/tex]

[tex]$\frac{2(5y)}{3x(5y)} +\frac{7(3x)}{5y(3x)} $[/tex]

[tex]$\frac{10y}{15xy} +\frac{21x}{15xy}$ \\[/tex]

[tex]$\frac{10y+21x}{15xy}$ \\[/tex]

\\-----------------------------------\\

[tex]$\frac{1}{x+2} -\frac{1}{x+3} $[/tex]

[tex]$\frac{1(x+3)}{(x+2)(x+3)} -\frac{1(x+2)}{(x+2)(x+3)} $[/tex]

[tex]$ \frac{x+3- (x+2)}{(x+2)(x+3)} $[/tex]

[tex]$ \frac{1}{(x+2)(x+3)} $[/tex]

Answer:

Step-by-step explanation:

32+(-10)

32-10

22 is not equal to 0

so its false

Answer: no solution

Step-by-step explanation:

Remove parentheses.

32+-10=0

Simplify 32+-10 to 32-10

32-10=0

Simplify 32-10 to 22

22=0

Since 22=0 is false, there is no solution.

Answer:

23 deg

Step-by-step explanation:

For angle x, 3 is the opposite leg.

sqrt(58) is the hypotenuse.

The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin x = opp/hyp

sin x = 3/sqrt(58)

sin x = 0.3939

x = sin^-1 0.3939 = 23 deg

Here A is the answer because it has more terms i guess

Step-by-step explanation:

In a regular hexagon, split the figure into triangles.

Find the area of one triangle.

Multiply this value by six.

Alternatively, the area can be found by calculating one-half of the side length times the apothem.

Hope this helps you.

Answer: 1/3

Step-by-step explanation:

The multiples of 4 and 6 that are in this 1-12 interval is 4, 6, 8, and 12

Thats a 4/12 chance which simplifies to 1/3

Answer:

1/3

Step-by-step explanation:

There are 3 numbers between 1 and 12 that are either multiples of 4 or 6 (4, 8, 6). 12 is a multiple of both, therefore we get 4 numbers out of 12. This is 4/12 = 1/3

Answer: 20%

Step-by-step explanation:

Explanation is in progress of writing:

First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:

= [tex]\frac{60}{75}[/tex] · 100

= 0.8 · 100

= 80%

The percentage error of the student's measurement is 25%.

Given the following data;

Percentage error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, percentage error is given by this expression;

[tex]Perecent \; error = \frac{Real \; value - Experimental \; value}{Real \; value} * 100[/tex]

Substituting the values into formula, we have;

[tex]Perecent \; error = \frac{60 - 75}{60} * 100[/tex]

[tex]Perecent \; error = \frac{-15}{60} * 100[/tex]

Note: The negative sign is neglected in percentage error.

[tex]Perecent \; error = \frac{1}{4} * 100[/tex]

Percent error = 25%

Therefore, the percent error is 25%.

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