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2 years ago

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1)If the coefficient of anyone of the variables is zero, what will be the nature if the equation? 2)What is a solution of a syst

em of equations?

1 answer:

Shtirlitz [24]2 years ago

4 0

Answer:

1) If the coefficent of any variable is zero then the answer of the variable is 0.

2) There are two answers in a system of equations.

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Identify the vertex, focus, and directrix. y=1/8y^2

Brut [27]

If all the equations for the directrix are "x = " lines then this is a y^2 parabola. The actual equation is $x= \frac{1}{8}y^2$ . The standard form for a positive sideways-opening parabola is $(y-k)^2=4p(x-h)$ . We know from the equation that the vertex of the parabola is at the origin, or else the translation would be reflected within the parenthesis in the equation. Our equation has no parenthesis to indicate movement from the origin. The vertex is (0, 0). Got that out of the way. That simplifies our standard form down to $y^2=4p(x)$ . Let's take a look at our equation now. It is $x= \frac{1}{8}y^2$ . We could rewrite it and make it a closer match to the standard form if we multiply both sides by 8 to get rid of the fraction. That gives us an equation that looks like this: $y^2=8x$ . That means that 4p = 8, and p = 2. p is the distance that the focus and the directrix are from the vertex. Since this is a positive parabola, it opens up to the right. Which means, then, that the focus is to the right of the vertex, 2 units to be exact, and the directrix is 2 units to the left of the vertex. The formula for the focus is (h + p, k). Our h is 0, our k is 0 and our p is 2, so the coordinates of the focus are (2, 0). Going 2 units to the left of the origin then puts our directrix at the line x = -2. Your choice then as your answer is b.

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3 years ago

Are they unique more than one or no triangle

Tanya [424]

The measures of the angles of a triangle add to 180.

45 + 45 + 90 = 180
The measures of these three angles do add to 180, ,so there is at least one triangle with these angle measures.
Using AA triangle similarity, any triangle with the same angle measures will be similar.

From the figure you already see two triangles with angles 45-45-90. There is an infinite number of triangles with those angle measures.

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3 years ago

You are given f(0) = 1 and g(0) = -2 and g(1) = 3. What is <br> g ∘ f ( 0 ) <br> equal to?

Sergeu [11.5K]

Answer:

<u><em>g∘f (0) = 1</em></u>

Explanation:

The <em>composition</em> of the <em>functions</em> f and g represented by g ∘ f ( 0 ) means that g is applied to f(0), i.e f(0) is the input to the function g.

Since f(0) = 1, you are going fo find g(1):

$\( g\circ f(x)=g(f(x)) \)\\\\\( g\circ f(0)=g(f(0)) \)\\\\\( g\circ f(0)=g(1) \)=3$

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3 years ago

Outside a home, there is aa 44-key keypad numbered 11 through 44. The correct sixsix-digit code will open the garage door. Th

olya-2409 [2.1K]

Answer:

a) 4,096

b) 0.000244

Step-by-step explanation:

a)

By the Fundamental rule of counting, there are

4*4*4*4*4*4 = 4,096

ways of forming six-digit arrangements where each position has 4 possibilities (1 to 4)

b)

The probability of entering the correct code on the first try, assuming that the owner does not remember the code is

1/4096 = 0.000244

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3 years ago

Kari uses a gallon of paint to

andreev551 [17]

Answer:

unknown

Step-by-step explanation:

because you don't know the percentage one gallon takes you cannot be sure how much you need after you get the dimensions and percentage a gallon takes

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3 years ago