Answer:
x = 6
Step-by-step explanation:
Since the triangle is equilateral then sides are congruent.
Equate any 2 sides and solve for x
13x + 5 = 8x + 35 ( subtract 8x from both sides )
5x + 5 = 35 ( subtract 5 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
JK = (13 × 6) + 5 = 78 + 5 = 83
KL = (17 × 6) - 19 = 102 - 19 = 83
JL = (8 × 6) + 35 = 48 + 35 = 83
ΔJKL is equilateral with side = 83
Answer:
1. 
2. ![x=\pm7i[tex]3.[tex]\pm 12x =a](https://tex.z-dn.net/?f=x%3D%5Cpm7i%5Btex%5D%3C%2Fp%3E%3Cp%3E3.%5Btex%5D%5Cpm%2012x%20%3Da)
4. 22
Step-by-step explanation:
1. 



2. 


![x=\pm7i[tex]3. Area of square = [tex]a^{2}](https://tex.z-dn.net/?f=x%3D%5Cpm7i%5Btex%5D%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3E3.%20Area%20of%20square%20%3D%20%5Btex%5Da%5E%7B2%7D)
Where a is the side
We are given an area o square = 
So, 


4. We are given that the solution of quadratic equation -9 and 9
So, equation becomes:


So, in the given equation 
z should be the number from which if we subtract 103 so we get 81
Substitute z = 22



Thus the value of z is 22
Answer:
Point R is at (−20, 10), a distance of 30 units from point Q
Step-by-step explanation:
Q has coordinates (-20,-20).
P has coordinates (10,-20)
Since point R is vertically above point Q, it will have the same x-coordinate as Q.
Let R have coordinates (-20,y).
It was given that;




.
The coordinates of R are (-20,10).
The dstance from Q is 30 units.
Answer:
The correct answer would be, No of bracelets the company must sell to break even would be 15
Step-by-step explanation:
Revenue is given by the function as:
R(x) = 20x
and Cost is given by the function as:
C(x) = 180 + 8x
Let the function P(x) represent the profit earned.
We know that Profit is equal to Revenue - Cost
i-e
Profit = Revenue - Cost
So,
P(x) = R(x) - C(x)
Now substituting the Revenue and cost values in the above equation.
P(x) = 20x - (180 + 8x)
P(x) = 20x -180 -8x
P(x) = 20x - 8x -180
P(x) = 12x - 180
Now if we want to find out the break even point, we would consider profit as Zero, 0. So substituting 0 in the above equation for Profit, we will get:
0 = 12x - 180
12x = 180
x = 180/12
x = 15
So the break even point will be 15 bracelets.
Answer:
23
Step-by-step explanation: Substitute 1 for p & 7 for q
7 − 5p + 3q
7 - 5(1) + 3(7)
7 - 5 + 21
7 + 16
23
Hope this helps you!!! :)