9 ÷ (-4 1/2) = L.
What is L.​

Answer:

75

Step-by-step explanation:

We have a 90 degree angle and a 15 degree angle that add up to 105. The angle that is missing can be found by doing 180 - 105 = 75 (since it's a straight line). X is vertical from the 75 degree angle, so 75 is your answer.

Answer:

x= 75°

Step-by-step explanation:

i have added a sketch of it

Answer:

18. [tex] x = 8 [/tex]

19. [tex] c = 9 [/tex]

20. [tex] d = \sqrt{10} [/tex]

21. 83 1/3 ft

22.

a. decay

b. growth

c. decay

Step-by-step explanation:

18.

[tex] \sqrt{x + 1} + 12 + 10 = 25 [/tex]

[tex[ \sqrt{x + 1} = 3 [/tex]

Square both sides.

[tex] x + 1 = 9 [/tex]

[tex] x = 8 [/tex]

19.

[tex] a^2 + b^2 = c^2 [/tex]

[tex] (\sqrt{75})^2 + (\sqrt{6})^2 = c^2 [/tex]

[tex] 75 + 6 = c^2 [/tex]

[tex] 81 = c^2 [/tex]

[tex] c = 9 [/tex]

20.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(3 - 4)^2 + (-9 - (-6))^2} [/tex]

[tex] d = \sqrt{(-1)^2 + (-3)^2} [/tex]

[tex] d = \sqrt{1 + 9} [/tex]

[tex] d = \sqrt{10} [/tex]

21.

Max: 5 ft tall; 3 ft shadow

Building: x ft tall; 50 ft shadow

5 ft is to 3 ft as x ft is to 50 ft

5/3 = x/50

3x = 250

x = 250/3

x = 83 1/3

Answer: 83 1/3 ft

22.

Exponential function:

y = a(b)^x

b is the number in parentheses raised to exponent x.

If b > 1, it is growth.

If b is between 0 and 1, it is decay.

Look at each case.

a. 0.85 is between 0 and 1: decay

b. 1.025 > 1: growth

c. 0.682 is between 0 and 1: decay

Answer:

the percentage share for BBC2 remained almost the same at about 11 % each year

if you look at the chart the BBC2 almost remains stable between 10 and 12 %

1980 ( between 39 and 51)

1985 ( between 37 and 49 ) and so on

( these numbers are not exactly the same , it is about or approximately)

Answer:

- 1

Step-by-step explanation:

The average rate of change of g(x) in the close interval [ a, b ] is

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 6 ] , then

g(b) = g(6) = 6² - 10(6) + 19 = 36 - 60 + 19 = - 5

g(a) = g(3) = 3² - 10(3) + 19 = 9 - 30 + 19 = - 2

average rate of change = [tex]\frac{-5-(-2)}{6-3}[/tex] = [tex]\frac{-5+2}{3}[/tex] = [tex]\frac{-3}{3}[/tex] = - 1

Answer:

Step-by-step explanation:

Yes, due to the presence of that operator " i "

Answer:

5

Step-by-step explanation:

Use pythagorean theorem. A^2+B^2=C^2

13 is c because it is the hypotenuse and across from the right angle

a is unknown and b is 12

A^2+12^2=13^2

A^2 +144 = 169

A^2 = 169- 144

A^2= 25

now take the sq root of both side

A = 5

Answer:

17.7

Step-by-step explanation:

Answer:

Ekta and Preyal

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

First simplify: y-1=2x-6

y-1=2(x-3)

First simplify and distribute everything.

y-1=2x-6

So, x equals 2 because it got distributed into the numbers inside the parenthesis.  Same with the 2 and -3.  They multiplied to become -6.

Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.

y - 1 (+ 1) = 2x -6 (+ 1)

-1(+1)=0 which leaves just the variable y on the left side.

-6(+1)=-5 which leaves 2x-5 on the right side.

This results in y=2x-5.  Hope this helped ;)

Answer:

y = 2x - 5

Step-by-step explanation:

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y - 1 + 1 = 2x -6 + 1

y = 2x - 5

Points are

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(4+2)^2+(4+2)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{6^2+6^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36+36}[/tex]

[tex]\\ \sf\longmapsto \sqrt{72}[/tex]

[tex]\\ \sf\longmapsto 8.4[/tex]

Answer:

5

Step-by-step explanation:

May be correct than follow me please

Answer:

120

Step-by-step explanation:

Answer:

n= 36

Step-by-step explanation:

36/2-3 x 36/4+5 x 36/6=21

please give me brainliest if i got this right

Answer:

n=36

Step-by-step explanation:

By simplifying both sides of the equation, then isolating the variable.

n=36

I did this quickly so sorry if it's no help

100÷50000 can be written as 100/50000, then cancel out 2 of the zeroes, and you will get 1/500 or 0.002 as your final answer.

Answer:

n³ - 7

Step-by-step explanation:

n³ - 7

The required expression for the 7 subtracted from the cube of a number is x³- 7.

Given that,
A string of statements is given,
Here, we have to transform the statement, 7 is subtracted from the cube of a number into a mathematical inscription.

Arithmetic, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

A mathmetical expression is formulated structure of a statement using variables.

Let the number be x,
Now 7 subtracted from the cube of number x
= x³ - 7

Thus, the required expression for the 7 subtracted from the cube of a number is x³- 7.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

Step-by-step explanation:

[tex](8,9)=(x1,y1) \\ m=7 \\ y−y1=m(x−x1) \\ y−9=7(x−8)

[/tex]

[tex]y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47[/tex]

Answer:

The difference will be increasing too

Step-by-step explanation:

If f(x) and g(x) is increasing in nature then

f(b) < f(a) and g(b) < g(a) for any a and b in the interval.

Subtracting these 2 equations, we get

f(b) - g(b) < f(a) - g(a) for any a and b in the interval.

Which means f-g is increasing in the interval (a, b) but as a and b were random real numbers we took, f(x) - g(x) will be increasing for an interval

Answer:

The middle of the sailboat is approximately 268.8 feet from the shore.

Step-by-step explanation:

Let the distance from shore to the middle of the boat be represented by x, the angle of elevation of Sandra from the shore to the top of the boat mast  is 7°. Applying the required trigonometric function to this question, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan 7° = [tex]\frac{23}{x}[/tex]

⇒  x = [tex]\frac{23}{Tan 7^{0} }[/tex]

       = [tex]\frac{23}{0.12279}[/tex]

      = 268.7515

∴ x = 268.8 feet

The middle of the sailboat is approximately 268.8 feet from the shore.

Answer:

B. 110

Step-by-step explanation:

z is supplemental to 70°, so the add up to 180°

z+70°=180°

z=180°-70°

z=110°

Option B is correct. The required value of z is 110 degrees

Supplementary angles are angles summing up to 180 degrees. According to the circle geometry, we can see that z and 70 degrees lie on the same line, this shows that both angles are supplementary.

Since supplementary angles sum up to 180degrees, hence;

[tex]z + 70 = 180\\[/tex]

Subtract 70 from both sides

[tex]z+70-70=180-70\\z=110^0[/tex]

Hence the value of z is 70 degrees

Learn more here: https://brainly.com/question/22261921

Answer:

358

Step-by-step explanation:

In 1995, the boys were 50 %

Take the number of people at the convention in 1995 ( 716)

and multiply by 50%

716 * 50%

716 * .50

358

Answer:

b. 358

Step-by-step explanation:

First, find what percentage of attendees were boys in 1995:

By reading the graph, we can see 50% were boys.

In the table, we can see that there were 716 attendees in 1995.

To find how many boys attended in 1995, find 50% of 716.

716(0.5) = 358

points are

[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{0-3}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-3}{1}[/tex]

[tex]\\ \sf\longmapsto m=-3[/tex]

Answer:

Step-by-step explanation:

These are geometric means problems. In the top one, a is the geometric mean as the height for both the smaller triangles inside the big one. Therefore,

[tex]\frac{4}{a} =\frac{a}{25\\}\\a^2=100\\a=10[/tex]

The next one has the geometric mean of b, being a part of the smaller triangle on the left and the big triangle as a whole:

[tex]\frac{4}{b} =\frac{b}{29}\\b^2=116\\b=10.77[/tex]

Answer:

prime

Step-by-step explanation:

3x^2 + 5x + 1

3x^2  factors in to 3x and x

1 factors into 1 and 1

( 3x   + 1) ( x+1)

We need to verify the middle is 5

3x+1x = 4x

so this is not true

We cannot factor this so it is prime

Answer:

[tex]\large \boxed{\sf Prime}[/tex]

Step-by-step explanation:

[tex]3x^2 + 5x + 1[/tex]

We need to find two numbers that add to 5 and multiply to get 1.

There are no real numbers.

The expression cannot be factored. The expression is prime.

Answer:

Amplitude = 2

Step-by-step explanation:

The amplitude of this sine wave is 2 denoted by the coefficient -2 in front of the sin(x).  The negative of the coefficient denotes that the sine wave is the opposite of the standard sine wave.

Cheers.

x(x+2)+3x+6

x^2+2x+3x+6

x (x+2)+3(x+2)

(x+3) (x+2)

Answer:

C

Step-by-step explanation:

Not all real numbers are irrational.

Answer:

[tex](x + 6)^2 = 49[/tex]

[tex]x = 1[/tex]    or [tex]x = -13[/tex]

Step-by-step explanation:

Given

[tex]12x = 13 - x^2[/tex]

Using Completing the Square

[tex]12x = 13 - x^2[/tex] ---- Add [tex]x^2[/tex] to both sides

[tex]x^2 + 12x = 13 - x^2 + x^2[/tex]

[tex]x^2 + 12x = 13[/tex]

Divide the coefficient of x by 2; then add the square to both sides

[tex]x^2 + 12x + 6^2 = 13 + 6^2[/tex]

[tex]x^2 + 12x + 36 = 13 + 36[/tex]

[tex]x^2 + 12x + 36 = 49[/tex]

Factorize

[tex]x^2 + 6x + 6x + 36 = 49[/tex]

[tex]x(x + 6) + 6(x + 6) = 49[/tex]

[tex](x + 6)(x + 6) = 49[/tex]

[tex](x + 6)^2 = 49[/tex]

Hence, the equation is [tex](x + 6)^2 = 49[/tex]

Solving further

Take square root of both sides

[tex](x + 6) = \sqrt{49}[/tex]

[tex]x + 6 = \±7[/tex]

[tex]x = \±7- 6[/tex]

This implies that

[tex]x = 7 - 6[/tex]     or [tex]x = -7 -6[/tex]

[tex]x = 1[/tex]    or [tex]x = -13[/tex]

HEnce, the solutions are [tex]x = 1[/tex]    or [tex]x = -13[/tex]

Answer:

(x+6)^2=49 and  x=−6±7

Step-by-step explanation:

Answer:

Just use m a t h w a y for the answer

Step-by-step explanation:

Thank me later,or dont thank me at all

Answer:

[tex]\displaystyle k = \frac{5}{6}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle (2k+1)x^2 + 2x = 10x - 6[/tex]

And we want to find the value of k such that the equation has two real and equivalent roots.

Since the equation is a quadartic, we can find its discriminant (symbolized by Δ). Recall that:

First, rewrite our equation:

[tex](2k+1)x^2 -8x + 6 =0[/tex]

The discriminant is given by:

[tex]\displaystyle \Delta = b^2 -4ac[/tex]

In this case, b = -8, a = (2k + 1), and c = 6.

Therefore, the discriminant is given by:

[tex]\displaystyle \Delta = (-8)^2 - 4(2k+1)(6)[/tex]

For it to have two equal roots, the discriminant must be zero. Hence:

[tex]\displaystyle 0 = (-8)^2 - 4(2k+1)(6)[/tex]

Solve for k:

[tex]\displaystyle \begin{aligned} \displaystyle 0 &= (-8)^2 - 4(2k+1)(6) \\ 0 &= 64 - 48k - 24 \\ 0 &= 40 - 48k \\ -40 &= -48k \\ \\ k &= \frac{5}{6} \end{aligned}[/tex]

Hence, the value of k is 5/6.

Answer:

Local Maximum Approx.: (1,8.08)

Local Minima Approx.: (-2,-7.67) and (3,2.75)

Step-by-step explanation:

Local maximums and minima there the highest and lowest points, respectively, on a graph in a specific region. (This is different from absolute maximum and minimum, which are the highest and lowest points overall.)

These are pretty clear to see on a curve, as they are the "turns" or the points where the curve switches direction from up to down or down to up.

On your graph, we have two local minima and one local maximum. The local minima are at x= -2 and x=3. The local maximum is at x=8. Because of the way the graph is, we have to approximate the y-values of each point.

The answer option which best describes this is the third option, so that is your answer.