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Tanya [424]
3 years ago
10

Let the function f be defined by f(x)=12-5x b)evaluate f(-1)

Mathematics
2 answers:
Alexxx [7]3 years ago
6 0
F(-1) = 12 - 5(-1)
f(-1) = 12 + 5
Solution: f(-1) = 17
OverLord2011 [107]3 years ago
5 0
F(x) = 12-5(-1)
= 12-(-5)
= 17
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KN is perpendicular bisector of MQ identify the value of x
ExtremeBDS [4]

Answer:

x = 6

Step-by-step explanation:

Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:

5x - 3 = 3x + 9

2x = 12

x = 6

4 0
3 years ago
7 in.
fgiga [73]
258 cubic inches

Since the boxes are kind of on their own—>
First box: 7*2*12 = 168
Second box: 5*2*9=90
168+90 = 258
6 0
3 years ago
Which equation shows 6(x + 4) = 2( y + 5) solved for y? A. y = x + 3 B. y = 3x + 5 C. y = 3x + 7 D. y = 3x + 17
UNO [17]

Answer:

C

Step-by-step explanation:

Given

6(x + 4) = 2(y + 5) ← distribute parenthesis on both sides of the equation

6x + 24 = 2y + 10 ( subtract 10 from both sides )

6x + 14 = 2y ( divide all terms by 2 )

3x + 7 = y, hence

y = 3x + 7 → C

4 0
3 years ago
Determine whether or not the vector field is conservative. if it is, find a function f such that f = ∇f. if the vector field is
amm1812
\dfrac{\partial f}{\partial x}=3y^2z^3\implies f(x,y,z)=3xy^2z^3+g(y,z)

\dfrac{\partial f}{\partial y}=6xyz^3+\dfrac{\partial g}{\partial y}=6xyz^3
\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

\dfrac{\partial f}{\partial z}=9xy^2z^2+\dfrac{\mathrm dh}{\mathrm dz}=9xy^2z^2
\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C

\implies f(x,y,z)=3xy^2z^3+C

The potential function exists, so \mathbf f is indeed conservative.
7 0
4 years ago
A swimming pool has a perimeter of 80 feet the short side measures 16 feet what is the length of the longer sides of the pool
svlad2 [7]

2 x (L + W) = Perimeter

2(L + 16) = 80   Then divide both sides by 2

L + 16 = 40         Then subtract 16 from both sides

L = 24 feet

8 0
3 years ago
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