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Kitty [74]
3 years ago
15

The value of k 4x^2 +20k+k

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0

Step-by-step explanation:

You want the to find the value of k such that the y coordinate of the vertex is 0.

0=x2−6x+k

The x coordinate, h, of the vertex is found, using the following equation:

h=−b2a

h=−−62(1)=3

Evaluate at x = 3:

0=32−6(3)+k

k=9

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nordsb [41]
A. The independent variable is time, as time is manipulating the value of her salary.

b. The dependent variable is her cost because what she charges for babysitting depends on how long she works.

c. y = 8x
y = how much she charges for this job
8 = the amount she charges per hour
x = number of hours babysat
6 0
3 years ago
Find the value of (x + 1) in this equation.<br><br> 13(6x − 5) − x = 13 − 2(x + 1)
Mandarinka [93]

Answer: The value of x is 155/79.

Step-by-step explanation:

13(6x -5 )-x= 13 -2(x +1)

78x - 65- x = 13 -2x -2

77x -65 = 11-2x  

79x -65 =11

79x =76

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4 0
3 years ago
Part 1: Given triangle ABC and AC = BC, find a and the side lengths of the triangle. C 6a - 8 4a-2 MathBits.com A B Side BC = Si
hoa [83]

Answer: a = 2; AC = BC = 10

Step-by-step explanation:

AC = BC => 6a - 8 = 4a - 2

<=> 2a = 6

<=> a = 3

=> AC = 6.3 - 8 = 10

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7 0
3 years ago
Rectangle ABCD and right triangle DCE have the same area. They are joined to form a trapezoid, as shown. What is DE?
vfiekz [6]
Since the areas are the same  (5 x 6 = 30 units), and the height of the triangle (DC) is 5 so the length of the triangle must be 12.  (1/2 of  5 x 12 is also 30)

So now we use the Pythagorean theorem

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The square root of 169 is 13 so side DE is 13 units.
6 0
4 years ago
On a trip to visit friends, a family drives 65 miles per hour for 208 miles of the trip. If the entire trip was 348 miles and to
vodka [1.7K]
From information given, we know
208 miles was at rate of 65 mph. so divide total mileage by speed to get time spent.

208 ÷ 65 = 3.2 hours

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140 miles divided by 2.8 hours gives speed

140 ÷ 2.8 = 50 miles per hour
4 0
3 years ago
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