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quester [9]
3 years ago
6

What is the value of c such that x^2-20x+c is a perfect-square trinomial?

Mathematics
2 answers:
Marina CMI [18]3 years ago
8 0

Answer:

100

Step-by-step explanation:

The question is on making the equation a perfect square

Given ;

x^2 - 20x + c

To get c;

c=(\frac{b}{2} )^2

where ;

b= -20

c= (\frac{-20}{2} )^2 = 10^2 = 100

Nata [24]3 years ago
6 0

Answer:

c=100

Step-by-step explanation:

To complete the square, it would really help if the coefficient of x^2 is 1 which is so formula for c in this case is just (b/2)^2

So (-20/2)^2

simplifying gives

(-10)^2

100

c=100

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Which graph represents the solution set of the system of inequalities?
lidiya [134]

y < \dfrac{2}{3}x\\\\y=\dfrac{2}{3}x\\\\for\ x=0\to y=\dfrac{2}{3}(0)=0\to(0,\ 0)\\\\for\ x=3\to y=\dfrac{2}{3}(3)=2\to(3,\ 2)\\\\y\geq-x+2\\\\y=-x+2\\\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\\\for\ x=2\to y=-2+2=0\to(2,\ 0)

y < \dfrac{2}{3}x

the dotted line. shadow under the line

y\geq-x+2

solid line. shadow above the line

Answer in the attachment (graph C).

8 0
3 years ago
Which statements are true for the given quadrilaterals?
notka56 [123]
A rectangle is considered a special case of a parallelogram because: Aparallelogram is a quadrilateral with 2 pairs of opposite, equal and parallel sides. Arectangle is a quadrilateral with 2 pairs of opposite, equal and parallel sides BUT ALSO forms right angles between adjacent sides.
6 0
3 years ago
Kong took 15\%15%15, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 858585 seconds.
netineya [11]

Answer:

Nolan's time is 100 seconds.

Step-by-step explanation:

Kong took 85 seconds.

Nolan took x seconds.

Kong took 15% fewer seconds than Nolan, so Kong's time is 85% of Nolan's time.

Kong's time is

85% of x or 0.85x

Kong's time is 85 seconds

0.85x = 85

x = 85/0.85

x = 100

Nolan's time is 100 seconds.

3 0
2 years ago
(x+15)<br> (3x-35)<br> If the angles are congruent, what is x?
Arada [10]

Answer: x = 25

Step-by-step explanation:

If these angles are congruent, that means they are equal. Using that information, we can frame the following equation:

(x+15) = (3x-35)

To find 'x', we just need to solve the above equation.

(x+15) = (3x-35)

x+15 = 3x-35

x-3x = -35-15

-2x = -50

x = 25.

Therefore, 'x' is 25 degrees.

7 0
3 years ago
Please help picture below
defon

Answer:

4 cups

Step-by-step explanation:

Given the point (8, 1 )

This tells us that 1 cup can be filled using 8 fluid ounces

Divide 32 by 8 to find number of cups

32 ÷ 8 = 4

Then 4 cups can be filled from 32 fluid ounces

Plot the point (32, 4 ) on the grid

3 0
3 years ago
Read 2 more answers
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