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2 years ago

I really need help If AD = 12 and AC = 4y-36, find the value of y

Mathematics

1 answer:

Mice21 [21]2 years ago

8 0

Notice the tickmarks

AD = DC

now AC, which is the whole length from side to side,
is 4y-36
AD is 12, and since DC is the same as AD, so
DC = 12

AC = AD + DC, or 12 + 12
now, we know AC is also 4y-36

so $\bf \begin{array}{cccccclllllll}
AC&=&AD&+&DC\\
\downarrow &=&\downarrow &&\downarrow \\
4y-36&=&12&+&12\\

\\ \quad \\ \quad \\
4y-36&=&&24

\end{array}$

solve for "y"

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3 years ago

If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents t

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2 years ago

Help me, please!!!!! CORRECT ANSWER GETS BRAINLIEST!!!!!!

zavuch27 [327]

Hello,

Here is your answer:

The proper answer to your question is..... 200,000=4x-20

When your doing questions like these make sure you pay attention to the question.

Your answer is 200,000=4x-20

If you need anymore help feel free to ask me!

Hope this helps!

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2 years ago

What is the equation, in standard form, of a parabola that models the values in the table? x~ -1 0 2

Inessa05 [86]

<h2>Steps</h2>

Standard Form Equation: f(x) = ax² + bx + c

So firstly, since (0,5) is one of our values we can plug it into the standard form equation to solve for the c variable (since 0 will cancel out the a and b variable):

$5=a*0^2+b*0+c\\5=c$

Now we know that the value of c is 5. Next, plug in (-1,12) into the standard form equation and simplify (remember to also plug in 5 for the c variable):

$12=a*(-1)^2+b*(-1)+5\\12=a-b+5\\7=a-b$

Next, plug (2,15) into the standard form equation and simplify:

$15=a*2^2+b*2+5\\15=4a+2b+5\\10=4a+2b\\5=2a+b$

Now, with our last two simplified equations we will create a system of equations:

$7=a-b\\5=2a+b$

Now, I will be using the elimination method with this system. With the system, add up the equations together and you will get:

$12=3a$

From here, we can solve for the a variable. With it, just divide both sides by 3:

$4=a$

Now that we know the value of a, plug it into either equation to solve for the b variable:

$7=4-b\\3=-b\\-3=b\\\\5=2(4)+b\\5=8+b\\-3=b$

<h2>Answer</h2>

Putting all of our obtained values together, your final answer is:

$f(x)=4x^2-3x+5$

8 0

2 years ago

13. You are at the top of a lighthouse that is 400 ft. Tall. You look down towards the ocean and see a whale located 700 ft. Fro

djverab [1.8K]

Answer:

29.7°

Step-by-step explanation:

In a right triangle representing the geometry of the problem, the side opposite the angle is the height of your observation (400 ft). The side adjacent to the angle is the distance from shore (700 ft).

You know the tangent ratio is ...

Tan = Opposite/Adjacent

so your angle of depression satisfies ...

tan(angle of depression) = (400 ft)/(700 ft)

Using the inverse function, we find ...

angle of depression = arctan(4/7) ≈ 29.745°

The angle of depression is about 29.7°.

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2 years ago