Angle c and angle d are congruent. Congruent means they have the same the measure, or they have EQUAL measures. You set the two values equal to each other and solve for x.
X+26=2x-10 subtract x from both sides
26=x-10 add 10 to both sides
36=x
Now substitute x back in for angle d.
2(36)-10 = 62
Let the cost of 1 ribeye steak dinner = x
The cost of 1 salmon dinner = y
Then,
11x + 18y = 592.29 (1)
16x + 6y = 580.56 (2)
Multiplying the second equation by 3, we get,
48x + 18y = 1741.68 (3)
(3) - (1) gives
37x = 1149.39
x = 31.06
Substituting the value for x in (1), we get,
11(31.06) + 18y = 592.29
341.66 + 18y = 592.29
18y = 250.63
y = 13.92
Hence, the cost of ribeye steak dinner = 31.06 and the cost of grilled salmon dinner = 13.92.
There are 2 options to solve that.
1. The first one is by derivatives.
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)
For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)
Answer:
B Step 2
Step-by-step explanation:
5(-3) should be -15, not positive 15
