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Nimfa-mama [501]
3 years ago
6

Identify the slope and y-intercept for the linear equation y = 4x - 2.

Mathematics
1 answer:
Vikki [24]3 years ago
4 0
The slope is the gradient which is the coefficient of y over the coefficient of x so 1/4 and the y intercept is y when x = 0.

So Slope = 1/4
y-Intercept = 4*0-2 = -2
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In the 30-60-90 triangle below, side s has a length of ___ and side q has a length of ___.
larisa [96]

Answer:

The answer is D.

Step-by-step explanation:

The side lengths for this special triangle is represented with x, x\sqrt{3} , and 2x

if the side length that sees 90 degrees is 10 (2x and x = 5 in this case)

so s (the side length that sees 30 degrees) is = 5

and q (the side length that sees 60 degrees) = 5\sqrt{3}

6 0
3 years ago
The figure, polygon ABCD is dilated by a factor of 2 to produce A B C D with the origin as the center of dilation
cestrela7 [59]

In the polygon ABCD, the production of point A' and point D' is (-2,-2)  and (4,-2) respectively.

<h3>What is the transformation rule?</h3>

In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:

\mathbf{(x,y) \to  (k_x, k_y)}

where;

  • k = scale factor

From the given information:

  • The scale factor = 2
  • the origin as a center of dilation for image vertices = (0, 0)

Now, using the coordinate vertices:

  • A = (-1, -1)
  • D = (2, -1)

The corresponding coordinate of the image vertices is as follows:

A(-1,-1) → A'(2 × (-1), 2 × (-1))

A' = (-2,-2)

D(2,-1) → A'(2 × (2), 2 × (-1))

D' = (4,-2)

Learn more about the transformation rule in coordinate planes here:

brainly.com/question/4251601

#SPJ1

7 0
2 years ago
Write the quadratic function in vertex form: f(x) = 4x2 + 2x -5
Andrei [34K]
Please use " ^ " to denote exponentiation:  <span>f(x) = 4x^2 + 2x -5.  To find the vertex form of this equation, complete the square:

f(x) = 4x^2 + 2x                                           - 5
      = 4(x^2 + (2/4)x)                                         - 5
      =  4(x^2 + (1/2)x )                                  -5
      = 4(x^2 + (1/2)x + 1/16  ) - 4/16 - 5
      = 4(x+1/4) - 21/4    <= in vertex form

Here h= -1/4 and k = -21/4.  The vertex is at (-1/4, -21/4)</span>
3 0
3 years ago
Read 2 more answers
What is the product of 3.6 x 4.2
lyudmila [28]

Answer:

15. 12

Step-by-step explanation:

just multiply them

7 0
3 years ago
90sec equal to how many min
Kruka [31]

Answer:

1 minute and 30 sec

Step-by-step explanation:

because there are 60 seconds in a minute and 60+30 is 90

5 0
3 years ago
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