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NeTakaya
3 years ago
5

What’s the angle measure? X=18

Mathematics
1 answer:
FrozenT [24]3 years ago
6 0

Answer:

Since =18 is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step-by-step explanation:

I hope it helpes u

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Problem Page A principal of $2100 is invested at 7.75% interest, compounded annually. How much will the investment be worth afte
just olya [345]

Answer:

After 12 years the investment will be worth $5145.

Step-by-step explanation:

The formula used for compounded interest is:

A = P(1+r/n)^nt

where,

A = future value

P = Principal Amount

r = interest rate

n = no of times interest is compounded

t = time

In the question given:

A=?

P = $2100

r = 7.75% or 0.0775

n = 1

t= 12

A= 2100*(1+0.0775/1)^1*12

A= 2100 *(1+0.0775)^12

A= 2100 *(1.0775)^12

A= 2100 * 2.45

A= 5145

So, after 12 years the investment will be worth $5145.

6 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B5x%2F8y%7D" id="TexFormula1" title="\sqrt[4]{5x/8y}" alt="\sqrt[4]{5x/8y}" al
Furkat [3]

Answer:  \frac{\sqrt[4]{10xy^3}}{2y}

where y is positive.

The 2y in the denominator is not inside the fourth root

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

Work Shown:

\sqrt[4]{\frac{5x}{8y}}\\\\\\\sqrt[4]{\frac{5x*2y^3}{8y*2y^3}}\ \ \text{.... multiply top and bottom by } 2y^3\\\\\\\sqrt[4]{\frac{10xy^3}{16y^4}}\\\\\\\frac{\sqrt[4]{10xy^3}}{\sqrt[4]{16y^4}} \ \ \text{ ... break up the fourth root}\\\\\\\frac{\sqrt[4]{10xy^3}}{\sqrt[4]{(2y)^4}} \ \ \text{ ... rewrite } 16y^4 \text{ as } (2y)^4\\\\\\\frac{\sqrt[4]{10xy^3}}{2y} \ \ \text{... where y is positive}\\\\\\

The idea is to get something of the form a^4 in the denominator. In this case, a = 2y

To be able to reach the 16y^4, your teacher gave the hint to multiply top and bottom by 2y^3

For more examples, search out "rationalizing the denominator".

Keep in mind that \sqrt[4]{(2y)^4} = 2y only works if y isn't negative.

If y could be negative, then we'd have to say \sqrt[4]{(2y)^4} = |2y|. The absolute value bars ensure the result is never negative.

Furthermore, to avoid dividing by zero, we can't have y = 0. So all of this works as long as y > 0.

3 0
2 years ago
Rewrite the slope intercept equation of the line y = 2x + 5 in standard form. A) 2x - y = -5 B) 2x + y = 5 C) -2x - y = -5 D) 2x
goldenfox [79]

Answer:

(A) 2x-y=-5

Step-by-step explanation:

Slope intercept form of equation of line is y = mx+c \ where\ m\ is \ slope

The standard form of equation is Ax + By + C = 0

Now let m=\frac{A}{B}therefore, m =\frac{2}{1}\ which\ gives\ A = 2and\ B = 1  

substituting the value of A and B  in slope intercept form,

y = \frac{A}{B} x+5\\\y = \frac{2}{1} x+ 5\\By\ simplifying,\\1y = 2x + 5\\on\ rearranging\ the\ above\ equation \\2x-y=-5\\which\ gives\ a\ standard\ form\ of\ equation\ Ax +By +C= 0\ where\ A= 2,\ B= (-1)\ and\ C = 5

3 0
3 years ago
5) BRAINLIEST + 15 POINTS :)
Dafna11 [192]

The y - intercept is (0, -7) and the slope is 5. Using the equation y = mx + b, where m is the slope and b is the y - intercept, the answer must be a. y = 5x - 7

4 0
3 years ago
Read 2 more answers
2. Calculate the amount of gallons needed to fill the pool shown below. (3 points)
hammer [34]

Answer:

52,322 gal

Step-by-step explanation:

will make it simple and short.

vol =  ( a + b ) * h/2 times the depth

vol = (10 + 4) x (40/2) x 30 = 8400 cu. ft.  ---------->>> then convert to gal.

                             6.2288 gal

vol = 8400cu.ft. x ----------------- =  52,322 gal

                                1 cu.ft.

8 0
3 years ago
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