Answer:
c - 215/5 = p
Step-by-step explanation:

Hope this helps! Brainliest would be appreciated!
Answer:

Step-by-step explanation:
We are given the equations:

Since we know what y is equal to, we can substitute that expression in for y in the first equation.

Distribute the 2. Multiply each term inside the parentheses by 2.


Combine the like terms (the terms with variables).

Since we are solving for x, we must isolate the variable. 38 is being subtracted and the inverse of subtraction is addition. Add 38 to both sides.

Now x is being multiplied by 9. The inverse of multiplication is division. Divide both sides by 5.

Now we know what x is equal to and can substitute the value into the second equation.


Multiply.

Subtract.

Coordinate points are written as (x,y). Therefore, the solution is (5, -4).
Step-by-step explanation:
Explanation:
Given:
−3x2+12x+1=0
This is in the form:
ax2+bx+c=0
with a=−3, b=12 and c=1
In order to decide which method to use, we can first examine the discriminant:
Δ=b2−4ac=122−4(−3)(1)=144+12=156
Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.
So there is no rational factorisation and we can discount the use of an AC method or similar.
We can use the quadratic formula or we can complete the square.
If we choose to use the quadratic formula, then we find:
x=−b±√b2−4ac2a
x=−b±√Δ2a
x=−(12)±√1562(−3)
x=−12±2√39−6
x=2±√393
When completing the square, note that b=12 is already divisible by a=−3 and by
Answer: The mixed number 5 & 1/2
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Work Shown:
1 & 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2
3 & 2/3 = 3 + 2/3 = 9/3 + 2/3 = 11/3
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Multiplying 1&1/2 with 3&2/3 is the same as multiplying 3/2 and 11/3
(3/2)*(11/3) = (3*11)/(2*3) = 11/2
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Use long division to find that 11/2 = 5 & 1/2
Or you can break it up like this
11/2 = (10+1)/2 = 10/2 + 1/2 = 5 + 1/2 = 5 & 1/2
Answer:

Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,

So, the required angle of elevation of the sun is equal to
.