Answer:
26x + 15y + 35*z = -25
Step-by-step explanation:
Given the planes:
5x + 3y -5z = 0
-5x + 4y + 2z = 9
First we have to find the cross product of the normal vectors of these planes:
<5, 3, -5> x <-5, 4, 2> = <3*2 - 4*(-5), -[5*2 - (-5)*(-5)], 5*4 - (-5)*3> =
<26, 15, 35>
Then substitute these and the point (0, -4, 1) into the standard plane equation:
ax + by + cz = d
26*0 + 15*(-4) + 35*1 = d
-25 = d
1,150ft + 35ft = 1,185ft
The reason you wouldnt subtract would be that you cant have negative 35 ft. You add the two heights together to produce your answer.
Step-by-step explanation:
Part A:
4x² - 7x - 15
a, b, c = 4, -7, -15
ac = -60
factors that add up to -7 and multiply to -60 are (-12, 5)
rewrite equation
(4x² - 12x) + (5x - 15)
factor out GCF from both groups
4x(x - 3) + 5(x - 3)
(4x+5)(x-3)
Part B:
Using the factored form from the previous part we can set both factors equal to 0 to solve for x.
4x+5 = 0
4x = -5
x = -5/4
x-3 = 0
x = 3
the two x-intercepts are -5/4 and 3
Part C:
Since the leading coefficient is positive, the right side of the function will be going up or to positive infinity as x goes towards positive infinity. Since the degree is even both sides go in the same direction so on the left side it also goes towards positive infinity as x goes towards negative infinity.
Do you need them together or separate?
Answer:
-8
Step-by-step explanation:
72 ÷ 9 = 8
The fish are being taken out, so negative.
I hope this helps!
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