Let f(x)=x^2+2 and g(x)=1-3x Find each function value. f(g(-4))

Answer:

2 square cm

Step-by-step explanation:

Given :

A square is inscribed in a circle whose radius is r = 1 cm

Therefore, the diameter of the circle is 2 r = 2 x 1

                                                                      = 2 cm.

So the diagonal of the square is 2r.

Using the Pythagoras theorem, we find each of the side of the triangle is [tex]$r \sqrt 2$[/tex].

Therefore, the area of the square is given by [tex]$\text{(side)}^2$[/tex]

                                                                         = [tex]$(r\sqrt 2)^2$[/tex]

                                                                         [tex]$= 2 r^2$[/tex]

                                                                         [tex]$= 2 (1)^2$[/tex]

                                                                         [tex]$=2 \ cm^2$[/tex]

Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.

Answer:

yes this is true.

Supplementary angles always add up to 180°.

Answer:

True

Supplementary angles always add up to 180°

Answer:

A - 23ft

Step-by-step explanation:

Pythagorean theorem: 12^2 + 20^2 = X^2.

X^2 = 544. X = sqrt(544) which is around 23ft

Answer:

The answer is "[tex]2.5 \ cm[/tex]"

Step-by-step explanation:

While Luke is 5m to 2cm in size, it implies that every 2cm to Luke's drawing is 5m in real life. That real pond width must therefore be 5 m, given the fountain's width is 2 cm. As shown in the illustration, the step size for IsabelLa from the illustration to real life is [tex]\frac{6}{3} =2[/tex], which makes it simple to multiply any measure in the cm of her illustration by 2 to accomplish the exact size in m. So, in another direction around, they just have to divide the value by 2, instead of the divide from reality for drawing. So if the actual worth is 5m, it ought to be [tex]\frac{5}{2} = 2.5 \ cm[/tex] in its width.

Answer:

2 : 1

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

AC : DF = 8 : 4 = 2 : 1

The measure of  each exterior angle of a regular 67-gon is 5.73

Given that,

Based on the above information, the calculation is as follows:

[tex]= 360\div 67[/tex]

= 5.73

Learn more: brainly.com/question/17429689

Answer:

Choice A) 0 < x < 18

Step-by-step explanation:

10x = 6x + 20

subtract

4x = 20

solve for x

x = 5

Answer:

A

Step-by-step explanation:

a = integer/whole number

Any whole number divided by 0 is 0.

0 is an integer/whole number.

Answer:

20

Step-by-step explanation:

use pythagorean theorem:

[tex]12^{2}[/tex] + [tex]16^{2}[/tex] = [tex]c^{2}[/tex]

144 + 256 = [tex]c^{2}[/tex]

400 = [tex]c^{2}[/tex]

[tex]\sqrt[ ]{400}[/tex] = c

20 = c

Answer: $15,700 - $24,322= 8622

Step-by-step explanation:

All you have to do is subtract

Answer:

how should we help?

Step-by-step explanation:

Answer:

dang that sucks..... try and play music at max vol and see if you hear any music coming from anywhere that's probably were the airpods are, if they are in the case then i dont know if u would hear anything. It all depends...

~ i hope this has helped ya out some how, hope ya find your airpods my friend!~

Step-by-step explanation:

Answer: 46 is your answer hope this helped

Step-by-step explanation:

Answer:

[tex]4 \sqrt{11} [/tex]

Step-by-step explanation:

According to Pythagoras Theorem,

[tex] {(hypotenuse)}^{2} - {height}^{2} = {(base)}^{2} [/tex]

[tex] = > {24}^{2} - {20}^{2} = {x}^{2} [/tex]

[tex] = > \: {x}^{2} = 576 - 400[/tex]

[tex] = > {x}^{2} = 176[/tex]

[tex] = > x = \sqrt{176} [/tex]

[tex] = > x = \sqrt{2 \times 2 \times 2 \times 2 \times 11} [/tex]

[tex] = > x = 2 \times 2 \sqrt{11} [/tex]

[tex] = > x = 4 \sqrt{11} (ans)[/tex]

Answer:

-1

Step-by-step explanation:

Since the question LITERALLY stated the slope is -1, the slope is literally -1

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

[tex]2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}[/tex]

A line placed in slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. The [tex]m[/tex], or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. Since [tex]m[/tex] represents the slope of the line, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

[tex]y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2[/tex]

So, option D is correct.  

Answer:

Step-by-step explanation:

According to figure,

54° + 3x+36° = 180° [Linear pair]

=> 3x + 90 = 180

=> 3x = 180 - 90

=> 3x = 90

[tex] = > x = \frac{90}{3} [/tex]

=> x = 30 (Ans)

Answer:

x=30

Step-by-step explanation:

cuz that line is 180 degrees and using algebra you can subtract 54 from both sides and get 126 then u have to subtract the 36 from both side to geth 90 and then divide the 3x to get x by itself which would leave u with 30 so x=30

Answer:

h+w-11

Step-by-step explanation:

Answer:

H+W-11

Step-by-step explanation:

Answer:

19.4

Step-by-step explanation:

We can solve this question using Pythagorean theorem

40^2 = h^2 + 35^2

1600= h^2+ 1225

1600-1225= h^2

375= h^2

h= √375

h = 19.4

Hence the height is 19.4

Answer:

c

Step-by-step explanation:

because the real awnser is 57/4 but simpfly

Answer:

C) [tex]14\frac{1}{4}[/tex]

explanation:

[tex]4\frac{5}{6} +4\frac{2}{3} +4\frac{3}{4} \\\\\frac{29}{6} +\frac{14}{3} +\frac{19}{4} \\\\\frac{58}{12} +\frac{56}{12} +\frac{57}{12} \\\\\frac{171}{12} \\\\14\frac{1}{4}[/tex]

Answer:

x=0

Step-by-step explanation:

Let's solve your equation step-by-step.

6x+x=10x

Step 1: Simplify both sides of the equation.

6x+x=10x

(6x+x)=10x(Combine Like Terms)

7x=10x

7x=10x

Step 2: Subtract 10x from both sides.

7x−10x=10x−10x

−3x=0

Step 3: Divide both sides by -3.

−3x/−3 = 0/−3

x=0

Now you can figure out which one is the best solution

Answer:

Step-by-step explanation:

One way to do this is to find the x- and y-intercepts and to plot these:

x-intercept:  Let y = 0:  5x = -2, or x = -2/5, so the x-intercept is (-2/5, 0).  Plot this point.

y -intercept:  Let x = 0:  y = -2, so the y-intercept is (0, -2).  Plot this point.

Finally, draw a line through these two points.

Answer:

15/8

Step-by-step explanation:

Answer:

For number five your answer would be C and for number 6 it would be C

Step-by-step explanation:

you take 12 and multiply by 9 which gives you 108

Answer:

1. 30

2. x = 0

3. x = 10

4. 11.7

5. 60

Step-by-step explanation: