Answer:
D. 16 ft
Step-by-step explanation:
h = √20² - (24/2)² = √400-144 = √256 = 16
Answer:
The movie costs $3.50 and the video games cost $5.
Step-by-step explanation:
a = 1 movie
b = 1 video game
2a + 5b = $32
8a + 3b = $43
2a x -4 = -8a
5b x -4 = -20b
32 x -4 = -128
8a + 3b = $43
- 8a + 20b = $128
--------------------------------
-17b = -85
17b = 85
/17 /17
b = 5
2a + 5(5) = 32
2a + 25 = 32
- 25 = -25
----------------------
2a = 7
/2 = /2
a = 3.5
a = $3.50
b = $5
Answer:
In this equation R would equal 88 because it satisfies the equation.
Step-by-step explanation:
You must solve for R by isolating the variable(which is R). To move the 1/8, multiply both sides by 8. You would do this because 8 is the reciprocal of 1/8. With R on it's own, to keep both sides equal multiply 11*8. That equals 88, which satisfies the equation, which is why 88 is the solution.
Hope this helps :)
Answer:
(0.118, 4.882)
Step-by-step explanation:
If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;
Distance = Speed * time
da = 120m
If he drives n hours at 18km/hr;
db = 18 * n
db = 18n
Speed of the motorist altogether is expressed as;
Speed =78km/5hrs
Speed = 15.6km/hr
SInce the total distnce is 78km
120m + 18n = 78 ....1 ..... * 1
If total time is 5hrs
m + n = 5....2 ...*18
Solve simultaneously
120m + 18n = 78
18m + 18n = 90
Subtract
120m - 18m = 78-90
102m = -12
m = 0.118 hrs
m =
Since m + n = 5
n = 5 - m
= 5 - 12/102
n = 4.882
Hence (m,n) is (0.118, 4.882)
The best answer (and only correct answer) among the answer choices given is:
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[C]: y⁻¹ = (x+6) / 3 .
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Explanation:
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Given the original function: y = 3x - 6 ;
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To find the "inverse equation" of said function; we change the "x" to a y"; and the "y" to an "x"; and rewrite:
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x = 3y <span>− 6 ;
Now, rewrite in "slope-intercept form" ; or y = mx + b ;
that is, with y as "single, isolated" variable on the left-hand side of the equation (with an "implied coefficient of positive one", only); then an "equal sign, then "mx + b" ; in which: "m" is the coefficient of the variable, "x"; and in which "m" refers to the "slope"; and "b" refers to the 'y-intercept".
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So,we have the inverse function:
____ </span>_________________________________________________
x = 3y − 6 ; we want to write in slope-intercept form;
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Add "6" to each side of the equation:
__________________________________
x + 6 = 3y − 6 + 6 ;
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x + 6 = 3y ;
________________________
↔ Rewrite as: 3y = x + 6 ;
________________________________________
Divide EACH side of the equation by "3" ; to isolate "y" one side of the equation; specifically, the left-hand side of equation; and to write in "slope-intercept form:
______________________________
3y / 3 = (x + 6) / 3 ;
______________________________
to get:
______________________________
y = (x + 6) / 3 ;
_________________________________
y = (x/3) + (6/3) ;
____________________________________
y = (x/3 ) + 2 ;
___________________________________
or; write as: y = (1/3)x + 2 ;
________________________________________
Now, let us examine the answer choices given:
__________________________________________
Note that all the answer choices begin with "y-1" ;
(except "answer choice: [B]" , which begins with "x-1"). This seems confusing; however, in reality, this does not mean, "y minus 1"; or "x minus 1". Rather, it mean y⁻¹ or x⁻¹ as notation for the "inverse" (not to be confused with the exponent notation. The confusion stems from the fact that it can be difficult to make such notations on the "Brainly" system.
__________________________________________________
That being said, we can write the aforementioned "rewritten equations" (see above in THIS VERY ANSWER) as:
_____________________________________
y⁻¹ = (x + 6) / 3 ;
_________________________________
y⁻¹ = (x/3) + (6/3) ;
____________________________________
y⁻¹ = (x/3 ) + 2 ;
___________________________________
or; write as: y⁻¹ = (1/3)x + 2
___________________________________
That being said:
_________________________________________
The best answer (and only correct answer) among the answer choices given is: Answer choice: [C]: y⁻¹ = (x+6) / 3 .
____________________________________________________
