Answer:
4x + 5y = 20
Step-by-step explanation:
4x + 5y = 20
5y = -4x + 20 (Subtract 4x to isolate 5y. Put the 4x in front of the 20)
y =
+ 4 (Divide all by 5 to isolate y)
And then it's done and in slope-intercept form
or
is greater than -1 but less than 0
I hope this helped :)
Do you see -8x?
Take half of -8 and square it.
So, (-8)/2 = -4.
(-4)^2 = 16
Now add 16 to both sides.
Solutions are 3 and - 5.
Step-by-step explanation:
Step 1:
Given equation is 3x² + 6x = 45. Factorize the equation to get the solutions.
⇒ 3x² + 6x - 45 = 0
⇒ x² + 2x - 15 = 0
⇒ x² + 5x - 3x - 15 = 0 (Product and Sum Method where product of coefficients = - 15 and sum = 2)
⇒ x (x + 5) - 3(x + 5) = 0
⇒ (x - 3)(x + 5) = 0
⇒ x = 3, - 5
Answer:
always true
Step-by-step explanation:
because it's same side inter angles
So we can set up a right triangle in this situation with one of the legs being 21.4m and the height being 15m. Then we can use trigonometric formulas to find the angle of elevation of the sun.
Since we have the dimensions for the opposite and the adjacent sides, we can use the trigonometric function tangent to find the angle:

So let's plug this in:



However this is in radians - to convert to degrees, we must use the formula:

So then let's solve for degrees:



So now we know that the angle of elevation is 67.89°.