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Irina-Kira [14]
4 years ago
12

Write an equation for (2, 1), and y increases by 4 when x increases by 1.

Mathematics
1 answer:
Katen [24]4 years ago
7 0

Answer:

Step-by-step explanation:

The equation for a line can be written in slope-intercept form:

y = mx + b

Where m is the slope of the line and b is the y-intercept.

Since we know "y increases by 4 when x increases by 1", that tells us that the slope of the line is 4.

y = 4x + b

To figure out the y-intercept, b, we can plug in the coordinates given in the problem to the point that the line passes through, (2, -1)

1 = 4(2) + b

1 = 8 + b

b = -7

Therefore, the equation of the line is y = 4x - 7

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KonstantinChe [14]

For this case we must indicate expressions equivalent to:

\frac {36 ^ x} {6 ^ x}

We have to:

36 ^ x = (6 ^ 2) ^ x = 6 ^ {2x}

Rewriting the expression:

\frac {6 ^ {2x}} {6 ^ x}

To divide powers of the same base, we place the same base and subtract the exponents:

6 ^ {2x-x} = 6 ^ x

The options are:

A) \frac {6 ^ {x} * 6 ^{ x}} {6^{x}}

B) 6

C) (\frac {36} {6}) ^ x

D) (36-6) ^ x

E) 6 ^ x

F) 36 ^ x

So if we simplify option A) we have: 6 ^ x

Option C) we have: 6 ^ x

Option E) is 6 ^ x

Answer:

Option A, C, E

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4 years ago
What should be done to x^2 + 15x in order to create a perfect square?
lana [24]

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\bf x^2+15x+\boxed{?}^2\implies \stackrel{\textit{we know the middle term is}}{2\sqrt{x^2}\cdot \sqrt{\boxed{?}^2}\implies 2x\boxed{?}}\qquad then\qquad 2x\boxed{?}=15x \\\\\\ \boxed{?}=\cfrac{15x}{2x}\implies \boxed{?}=\cfrac{15}{2}\qquad \impliedby \textit{we should add that much \underline{squared}} \\\\[-0.35em] ~\dotfill\\\\ x^2+15x+\left( \cfrac{15}{2} \right)^2\implies \left(x+ \cfrac{15}{2} \right)^2

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Which expressions are equivalent to 4^3 x 4^-5? Choose all answers that are correct. A) 4^-2 B) 1/16 C) 4^-15 D) 0.0625 E) 16^-1
astraxan [27]

The given expression is

4^3 * 4^{-5}

Here we have to use the product rule of exponent, according to which  in case of multiplication, we have to add the exponents, that is

4^3 * 4^{-5} = 4^{3-5} = 4^{-2}

So out of the given options, correct option is A .

7 0
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ddd [48]
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Which set of points is not coplanar?
spin [16.1K]

we know that

<u>Coplanar points</u> are three or more points which lie in the same plane. Remember that a plane is a flat surface which extends without end in all directions. Any three points in 3-dimensional space determine a plane.

<u>case a)</u> points A, B, E

Any group of three points determines a plane

so

<u>The points A,B,E are coplanar</u>

<u>case b)</u> points A, B,C,E

The four points do not belong to the same plane

so

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<u>case c)</u> points B, C, D

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so

<u>The points B, C, D are coplanar</u>

<u>case d)</u> points A,B, C, D

The base of the pyramid is a flat surface, the four points lie in the same plane

so

<u>The points A,B, C, D are coplanar</u>

therefore

<u>the answer is the option</u>

points A, B, C, E are not coplanar

8 0
4 years ago
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