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Elena L [17]
3 years ago
7

What is 56.57 rounded to the nearest whole number

Mathematics
1 answer:
const2013 [10]3 years ago
3 0
Your answer would be 57
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Find an equation in standard form of the parabola passing through these points: (0,-6),(-1,-12),(3,0)
Elan Coil [88]
One form of the equation of a parabola is
y = ax² + bx + c

The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6                       (1)
a - b + c = -12            (2)
9a + 3b + c = 0         (3)

Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6                  (4)
9a + 3b - 6 = 0
9a + 3b = 6              (5)

Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1

The equation is
y = -x² + 5x - 6 

Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
   = -[ (x - 2.5)² - 2.5²] - 6
   = -(x - 2.5)² + 6.25 - 6

y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.

Answer: y = -(x - 2.5)² + 0.25

3 0
3 years ago
Plot the points a (-2,-3), b (-3,0), c (3,2), and d (4,-1). What type of quadrilateral is ABCD? Justify your answer using slope
jenyasd209 [6]
<span>Plot the points a (-2,-3), b (-3,0), c (3,2), and d (4,-1). What type of quadrilateral is ABCD? Justify your answer using slope formula 

 the shape is a parellelogram, not a trapezoid all are parellel, but how to distinguish rhombus, rectangle, and square?</span> 
6 0
3 years ago
What is the measure of a base angle of an isosceles triangle if the measure of the vertex angle is 42 and the two congruent side
Sidana [21]
If vertex angle is 42, and the base angles are congruent, this is an isosceles triangle, they each measure: 180-42/2. They each measure 69 degrees. The length of sides don't matter.
7 0
3 years ago
Read 2 more answers
Marley is a waitress. On Thursday, she earned $4.60 per hour plus $50.25 in tips. How many hours did she work that day if she ea
ELEN [110]

Answer:

8 hours

Step-by-step explanation:

1. Subtract value of tips she got that day

87.05 - 50.25 = 36.8

36.8 is the actual payment for her job that day

2. Divide 36.8 with paid/hour (4.6)

36.8 ÷ 4.6 = 8 hours

8 0
3 years ago
Find the square root of 784 using prime factorization.
WINSTONCH [101]

Answer:

first check the smallest number that divide 784

i.e 2

784/2 = 392/2= 196/2 =98/2 =49/7=7

we get

748= 2*2*2*2*7*7

for square root take one out of 2 same number

square root of 784= 2*2*7 = 28

7 0
3 years ago
Read 2 more answers
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