Answer:
x = 6
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² + (x + 2)² = 10² ← expand parenthesis on left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0
(x + 8)(x - 6) = 0 ← in factored form
equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
however, x > 0 , then x = 6
Answer is –4/5
Rearrange the equation to make y the subject
5y = –4x – 35
y = –4/5 x – 7
If the line is parallel to the other line, they both have the same gradients but different y-intercepts, so the gradient is just as is.
Answer:
there is no photo
Step-by-step explanation:
but to answer the question for example: 0.04 would round down to the nearest tenth 0.0 and 0.05 would round up to 0.1 . So if the number is 5 or above round up or if it is 4 or below round down, hope this helps
Carol's Steakhouse, the total cost of serving 150 customers per day is $900. Carol is interested in increasing her business, but is concerned about the effect on marginal cost.
Carol successfully increases her business to 200 customers per day. However, her total cost for doing so is 50% greater than the expected $1,600. What percent greater is the actual marginal cost than the expected marginal cost, to the nearest full perc
Answer:
214
Step-by-step explanation:
We have been given
C1 = $900
Q1 = 259
Then c2 = $1600
Q2 = 200
M = 1600-900/50
= 14
For real,
C1 = 900
C2 = 2400
Q1 = 150
Q2 = 50
1500/50 = 30
30/14 x 100
= 214
It is greater by 214 percent
18 is 6+n. The other one is 60 because n=60 and 60+6=66. 66 represents Chang's height.
