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Fed [463]
3 years ago
9

Given g(x)=5x+2 what is the value of g(3)

Mathematics
2 answers:
Paraphin [41]3 years ago
7 0

Answer:

g(3) = 17

Step-by-step explanation:

Step 1: Define

g(x) = 5x + 2

g(3) = x = 3

Step 2: Substitute and Evaluate

g(3) = 5(3) + 2

g(3) = 15 + 2

g(3) = 17

PSYCHO15rus [73]3 years ago
7 0

Answer:

g(3) +17 !!!

Step-by-step explanation:

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Find the angle between the vectors u=i-9j and v=8i+5j
Katyanochek1 [597]

Answer: \cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}

Step-by-step explanation:

u \cdot v=(1)(8)+(-9)(5)=-37\\\\|u|=\sqrt{1^{2}+(-9)^{2}}=\sqrt{82}\\\\|v|=\sqrt{8^{2}+5^{2}}=\sqrt{89}\\\\\cos \theta=\frac{-37}{\sqrt{82}\sqrt{89}}\\\\\theta=\cos^{-1} \left(\frac{-37}{\sqrt{82}\sqrt{89}} \right)\\\\\theta=\boxed{\cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}}

7 0
2 years ago
The base of a cone shaped glass is 12 inches and it is 18 inches tall, what is the volume
Maslowich
216. All you have to do to find volume is to multiply the numbers. 12 x 18 = 216.
5 0
3 years ago
A) x = -2<br> B) y =2<br> C) y= -2
LenKa [72]

Answer:

Step-by-step explanation:

This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.

The form that the parabola is currently in is

y=a(x-h)^2+k so that means that a=\frac{1}{8}. We can use that to solve for p in the formula

p=\frac{1}{4a} so

p=\frac{1}{4(\frac{1}{8}) } which simplifies to

p=\frac{1}{\frac{1}{2} } which gives us that

p = 2. Now to find the directrix:

y = k - p becomes

y = 0 - 2 so

y = -2, choice A.

6 0
3 years ago
What is the distance between the center of the circle with equation $x^2+y^2=6x-8y+24$ and the point $(-3,-12)$?
kvasek [131]

Answer:

The answer to your question is: 10 units

Step-by-step explanation:

P (-3, -12)

1.- Find the center of the circle

                               x² + y² = 6x - 8y + 24

                              x² - 6x + (   )²  + y² + 8y + (  )²  = 24

                              x² - 6x + (3)² + y² + 8y + (4)² = 24 + 9 + 16

                              (x - 3)² + (y + 4)² = 49

                              Center (3, -4)

2.- Find the distance between the center and the point given

Formula

d = \sqrt{(x2- x1)^{2} + (y2 - y1)^{2} }

Substitution

d = \sqrt{(-3 - 3)^{2} + (-12 +4)^{2} }

d = \sqrt{(-6)^{2} + (-8)^{2} }

d = \sqrt{36 + 64} }

d = \sqrt{100}

d = 10 units

             

3 0
3 years ago
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