There are two ways to find or determine for the value of
c. In the first method, we can use addition and subtraction to isolate the
variable c from the other variables. In the second method, we can use the
transposition of variables to isolate the variable c from the other variables.
So solving for the value of c:
<span>Using 1st method: Addition and Subtraction</span>
We are given:
240 = 6 z + c
Simply subtract 6 z on both sides:
240 – 6 z = 6 z + c – 6 z
Cancelling 6 z – 6 z on the right side:
240 – 6 z = c
or
c = 240 – 6 z
<span>Using the 2nd method: Transposition</span>
240 = 6 z + c
What we are going to do here is to simply transpose the
variable 6 z from the right side to the left side of the equation so that we
are left with c alone on the right side. Always remember that when we
transpose, the symbol becomes opposite. That is:
240 + (- 6 z) = c
240 – 6 z = c
or
<span>c = 240 – 6 z</span>
The answer is D. BC, AB, AC
The widest angle is BAC, which is opposite to BC side
The next one is ACB, which is opposite to AB side
The last one is ABC, which is opposite to AC side
BC>AB>AC
Answer: The y-intercept is 1
Step-by-step explanation:
y = mx + b m = slope, and b = y-intercept
plugging in the given values, we get
-9 = (-5/4)(8) + b
simplify to get
-9 = -10 + b
b = 1
y-intercept = 1
Answer:
Yes, Chris will score
Step-by-step explanation:
Given the function :
F(x) = - 0.05(x - 16)² + 11
Distance from goal = 25
Height of goal = 8
Scoring condition, if ball isn't blocked :
If the ball travels a distance of 25 feets towards goal and elevation of ball isn't greater than 8 feets, then Chris will score ;
Function which models ball height with respect to distance, x
Put x = 25 in the equation and se if f(x) < 8 feets
F(25) = - 0.05(25 - 16)² + 11
F(25) = - 0.05(9)² + 11
F(25) = - 0.05 * 81 + 11
F(25) = - 4.05 + 11
F(25) = 6.95 feets
Hence, Chris would score if ball isn't vlaocjed by DeShawn because the height of ball is lower than the height of the goal.
There are various ways to solve this. I will solve by elimination which seems easier:
I multiply the top equation by 1/2 to get 1/4y so I can eliminate y:
-3x/8 + 1y/4 = -1 Now add the second equation:
1x/5 - 1y/4 = -6 This gives:
------------------------------------
-3x/8 + 1x/5 = -7 Get a common denominator:
-15x/40 + 8x/40 = -7 Now add fractions:
-7x/40 = -7 Multiply by the reciprocal(-40/7):
x = 7 × 40 / 7 Simplify:
x = 40.
Now plug in 40 for x in one of the equations and solve for y (2nd equation looks easier):
1(40)/5 - 1y/4 = -6
8 - y/4 = -6 subtract 8
-y/4 = -14 multiply by 4
-y = -56
y = 56.
So we got x=40 and y=(56) new lets check!
-3(40)/4 + (56)/2 = -2
-3(10) + 28 = -2
-30 + 28 = -2
-2 = -2.