What is the solution set to the following equation?

Answer:

19 units²

Step-by-step explanation:

First, divide the shape into two triangles, find the area of those triangles, and then add the areas together.

Big Triangle:

1/2bh

1/2 6(5)

1/2 30

15

Little Triangle

1/2bh

1/2 2(4)

1/2 8

4

Total Area:

15 + 4 = 19 units squared

Answer:

Ramesh asked me,"where do you live?"

Ramesh said to me," where do you live".

Answer:

400÷10=0.4

stay safe and healthy

9514 1404 393

Answer:

  D. -140 ft

Step-by-step explanation:

Lengths cannot be negative, so -140 cannot be a distance walked.

__

Additional comment

Relative to some reference point and direction, a position can be described as positive or negative. However, the distance from that point to the reference point will always be positive.

Answer:

1st option

Step-by-step explanation:

To find (f ￮ g)(x) substitute g(x) into f(x) , that is

f([tex]\frac{1}{2x}[/tex] )

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

= [tex]\frac{2}{\frac{1+6x}{2x} }[/tex]

= [tex]\frac{4x}{1+6x}[/tex]

Answer:

Your answer is option a.

Answer:

a. 9(8+7)

Step-by-step explanation:

If you distribute the 9 into the equation, You're basically multiplying the 9 by each term so it really becomes:

(9*8) + (9*7)

Which leaves you with:

72 + 63

Answer:

1 1/4

Step-by-step explanation:

25/20=5/4=1 1/4

Hope this helps, thanks!

1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.

Answer:

44 cm

Step-by-step explanation:

So we know that the bottom 12 is congruent to to the line at the top, so that is also 12. And the 5 is congruent to the other 3 lines with one hash mark going through it. So perimeter is the sum of all the side lengths on a polygon. So we have 12+12+5+5+5+5=44.

Hope this helps! :D

Answer:

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x  

1

​

,y  

1

​

) and (x  

2

​

,y  

2

​

) in the ratio m:n, then  

(x,y)=(  

m+n

mx  

2

​

+nx  

1

​

​

,  

m+n

my  

2

​

+ny  

1

​

​

)

The vertices of the triangle are given to be (x  

1

​

,y  

1

​

),(x  

2

​

,y  

2

​

) and (x  

3

​

,y  

3

​

). Let these vertices be A,B and C respectively.  

Then the coordinates of the point P that divides AB in l:k will be

(  

l+k

lx  

2

​

+kx  

1

​

​

,  

l+k

ly  

2

​

+ky  

1

​

​

)

The coordinates of point which divides PC in m:k+l will be  

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

​

m+k+l

mx  

3

​

+(k+l)  

(l+k)

lx  

2

​

+kx  

1

​

​

​

,  

m+k+l

my  

3

​

+(k+l)  

(l+k)

ly  

2

​

+ky  

1

​

​

​

⎭

⎪

⎪

⎪

⎬

⎪

⎪

⎪

⎫

​

⇒(  

m+k+l

kx  

1

​

+lx  

2

​

+mx  

3

​

​

,  

m+k+l

ky  

1

​

+ly  

2

​

+my  

3

​

​

)

Answer:

[tex]17 \frac{1}{3} [/tex]

Step-by-step explanation:

1/3 pound = 5.333 ( 5 1/3 ) ounces

3/4 pound = 12 ( 12 ) ounces

Answer:

20.

Step-by-step explanation:

when you add how far Kyle's already traveled you get sixty, the rest of the lecture explains the rest, leaving you with 20 seconds. Lol.

Answer:

f(1) = 0

f(2) = 4

f(3) = 8

Step-by-step explanation:

Substitute the values for the variable x.

[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]

When x= 1

y = 4(1) - 4

y = 0

when x = 2

y = 4(2) - 4

y = 4

when x = 3

y = 4(3) - 4

y = 8

Answer: C. 1.44

Step-by-step explanation:

Each number gets multiplied by 2, so it's an exponential series in a way.

You must multiply .72 by 2 to get 1.44.

Answer:

D. 3×2

This is ur answer ...

Answer:

1) = -10

3) = 4

Step-by-step explanation:

Chow,...!

Answer:

1, 5

Step-by-step explanation:

a numerical or constant quantity placed before and the variable in an algebraic expression (e.g. 4 in 4x y).

Answer: 1 and 5

Step-by-step explanation:

Answer:

c is the answer

Answer:

these statements are not logically equivalent.

Step-by-step explanation:

steps are in picture.

If you have any question about it you can ask freely.

Answer:

1/4

Step-by-step explanation:

its 0.25 which is rational. and its between the two.

Answer:

f(x) = (x + 3)(x − 3)(x − 1)

Step-by-step explanation:

The roots are at -3, -1 and 3 therefore the 3rd option is correct.

Answer:

The answer is D

Step-by-step explanation:

Attatched photo for proof

Step-by-step explanation:

all steps are in the picture above.

Note:if you have any question let me know about.thanks

9514 1404 393

Answer:

  g(f(x)) = √((x²+5)/(x²+4))

Step-by-step explanation:

  [tex]g(f(x))=g(\dfrac{1}{x^2+4})=\sqrt{\dfrac{1}{x^2+4}+1}=\sqrt{\dfrac{1+x^2+4}{x^2+4}}\\\\\boxed{g(f(x))=\sqrt{\dfrac{x^2+5}{x^2+4}}}[/tex]

I prefer this compact form, but some may want the denominator rationalized. This means the expression becomes ...

  [tex]g(f(x))=\sqrt{\dfrac{(x^2+5)(x^2+4)}{(x^2+4)^2}}\\\\\boxed{g(f(x))=\dfrac{\sqrt{x^4+9x^2+20}}{x^2+4}}[/tex]

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]6525\text{cm.}^3[/tex]

Keep in mind that this is APPROXIMATE.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Volume of a Sphere Is:}}\\\\V = \frac{4}{3} \pi r^3\\----------------\\\rightarrow \text{We are given the radius of } 11.6\text{ cm.}\\----------------\\V = \frac{4}{3}(3.14) (11.6)^3\\\\V = \frac{4}{3}(3.14) 1560.896\\\\V \approx 6534.95125\text{cm.}^3\\\\\boxed{V \approx 6535\text{cm.}^3}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

It is 29x - 19y

Step-by-step explanation:

[tex]5(x - 7y) + 8(3x + 2y)[/tex]

open brackets:

[tex] = 5x - 35y + 24x + 16y[/tex]

group like terms together:

[tex] = (5x + 24x) + (16y - 35y)[/tex]

factorise out x and y :

[tex] = x(5 + 24) + y(16 - 35) \\ = 29x - 19y[/tex]

9514 1404 393

Answer:

  the graph increases

Step-by-step explanation:

If you read your problem statement, you find it tells you the answer:

  "... point A and then continues to increase through B"

That is, between points A and B, ...

  the graph increases

Answer:

It's option A hope this helps

Answer:

172

Explanation:

Answer:

x = 15

Angle ABC = 57°

Step-by-step explanation:

Hi there!

We're given:

⇒ ABD is a straight line

⇒ Angle ABC = 5x-18 degrees

⇒ Angle DBC = 8x+3 degrees

ABD is a straight line, meaning it measures an angle of 180 degrees.

Angles ABC and DBC create line ABD, so therefore, their sum is equal to 180 degrees:

[tex](5x-18)+(8x+3)=180[/tex]

Open the parentheses:

[tex]5x-18+8x+3=180[/tex]

Combine like terms:

[tex]13x-15=180\\13x=195[/tex]

Divide both sides by 13 to isolate x:

[tex]x=15[/tex]

Therefore, x = 15.

To find angle ABC, replace x with 15 in 5x-18:

[tex]5x-18\\=5(15)-18\\=75-18\\=57[/tex]

Therefore, the measure of angle ABC is 57 degrees.

I hope this helps!