The equation you had:
6x + 5y = 45
Solve for Y:
5y = (-6x) + 45 divide by 5
y = (-6/5)x + 9
y = -1 1/5x +9
Answer:
see below
Step-by-step explanation:
sin x 1
------------------- = -----------
sec^2 x - tan ^2 x csc x
Sec = 1/cos and tan = sin/cos
sin x 1
------------------- = -----------
1/ cos ^2 x -sin^2/cos ^2 x csc x
Factor the denominator
sin x 1
------------------- = -----------
(1-sin^2 x)/ cos ^2 x csc x
We know that 1 - sin^2 x = cos ^2
sin x 1
------------------- = -----------
(cos^2 x)/ cos ^2 x csc x
sin x 1
------------------- = -----------
1 csc x
Multiply the top and bottom of the left hand side by 1/ sin x
sin x * 1/ sin x 1
------------------- = -----------
1 * 1 sin x csc x
1 1
------------------- = -----------
1 sin x csc x
We know that 1/sin x = csc
1 1
--------- = -----------
csc (x) csc x
Answer:
Distance of foot of ladder from building: <em>37.2 inches
</em>
Distance of top of ladder from building's base: <em>114 inches
</em>
Step-by-step explanation:
Please refer to the figure attached in the answer area.
A right angled triangle
is formed by the ladder with the building where hypotenuse is the length of ladder.
Hypotenuse, <em>AC </em>= <em>10 foot
</em>
Also, we are given that angle made by the base of ladder with the ground is
.
We have to find <em>AB</em> and <em>BC</em>.

Using trigonometric functions:


Distance of foot of ladder from building: <em>37.2 inches
</em>
Distance of top of ladder from building's base: <em>114 inches
</em>
Answer:
34/8 or 4 2/8
Step-by-step explanation:
6*8=48 48+5=53 =53/8
> (53/8) - (19/8) = 34/8 or 4 2/8
2*8=16 16+3=19 =19/8
You just change the whole numbers into fractions by multiplying it by the denominator, in this case 8. And then add your sum to the fraction part of the number to be left with just a fraction. To subtract, you just subtract the numerator, if the denominator is the same. In this case, it is, the denominator is 8.
<h3>I'll teach you how to solve 15x ^2 −4x−4</h3>
--------------------------------------------------------
15x ^2 −4x−4
Break the expressions into groups:
(15x^2+6x) + (-10x-4)
Factor out 3x from 15x^2+6x:
3x(5x+2)
Factor out -2 from -10x-4:
-2(5x+2)
3x(5x+2) -2(5x+2)
Factor out common term 5x+2:
(5x+2)(3x-2)
Your Answer Is (5x+2)(3x-2)
plz mark me as brainliest :)