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____ [38]
2 years ago
7

If 4x^2 - 100 = 0 then the roots of the equation are

Mathematics
2 answers:
iVinArrow [24]2 years ago
8 0
4x² - 100 = 0
<u>     + 100  + 100</u>
         <u> 4x²</u> = <u>100</u>
          4        4
           x² = 25
            x = <u>+</u>5
 4(5)² - 100 = 0
4(25) - 100 = 0
  100 - 100 = 0
               0 = 0

4(-5)² - 100 = 0
 4(25) - 100 = 0
   100 - 100 = 0
                0 = 0

The roots of the equation is positive or negative 5.
Alex17521 [72]2 years ago
6 0
4x^2-100=0
4x^2=100
x^2=100/4
x^2=-25
x=5 or x=-5
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What figure is a dilation of Figure A by a factor of 2?
stepan [7]

Answer: Bottom Right

Step-by-step explanation:

Since the scale factor is 2 all the lengths of the original should be multiplied by that scale factor. Don’t fall for the top left because 2•4 doesn’t equal 6. The top right is just completely off. The bottom left is if the factor is .5

7 0
3 years ago
8 and 3/15 - 4 and 3/15
Iteru [2.4K]

Answer:

4

Step-by-step explanation:

8 3/15 - 4 3/15 the 3/15 cancel each other out so then there is only 8-4 which is 4

8 0
3 years ago
Read 2 more answers
4x-y=10 as coordinates with the y as -6
IgorC [24]

Answer:

(1,-6)

Step-by-step explanation:

4x - y = 10

4x -(-6) = 10

4x + 6 = 10

    - 6    - 6

4x = 4

/4    /4

x = 1

(x, y) -> (1,-6)

Check your answer:

4x - y = 10

4(1) - (-6) = 10

4 + 6 = 10

10 = 10

This statement is correct

Hope this helps!

6 0
2 years ago
Read 2 more answers
Solve the simultaneous equations:<br><br> 3a-2b=14 <br> 12a+9b=39
kirill [66]
Use elimination
Multiply first equation by 4
12a - 8b = 56
12a + 9b = 39
Subtract both
-17b = 17
b = -1
Plug in -1 for b
3a - 2(-1) = 14
3a = 12, a = 4
Final answer: a = 4, b = -1
5 0
2 years ago
please just give me the answer is homework please help1)vertex 2)axis of symmetry 3)x-intercepts 4)maximum or minimum 5)max/min
aniked [119]

Answer:

See explanations below

Explanation:

Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)

The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75

x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5

To get the minimum, we will use the formula;

c - b^2/4a

The equation of the curve is expressed as;

(x-0)(x-2.5)

= x (x-2.5)

= x^2 - 2.5x

a = 1, b = -2.5, c = 0

minimum = 0 - (-2.5)^2/4(1)

minimum = -6.25/4

minimum = -1.5625

Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5

y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.

6 0
1 year ago
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