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4 years ago

9. Write the equation of the parabola in vertex form. Vertex: (-4, 6); Point: (-2, -2)

Mathematics

1 answer:

Galina-37 [17]4 years ago

6 0

Answer: y = − 2 ( x + 4 ) 2 + 6

Step-by-step explanation:

Find the parabola through ( − 2 , − 2 ) with vertex ( − 4 , 6 ) using the vertex form y = a ( x − h ) 2 + k .

Standard Form: y = − 2 x 2 − 16 x − 26

Vertex Form: y = − 2 ( x + 4 ) 2 + 6

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Hue is arranging chairs. She can form 5 rows of a given length with 2 chairs left over, or 7 rows of that same length if she get

Andru [333]

I just took the 16 chairs and added 2 since thats how many are left over, then since adding these 16 chairs, you are creating 2 more rows, so (16+2)/2 =9 Therefore, each row must have nine chairs in it and Hue starts off with 5x9+2= 47 chairs

4 0

3 years ago

Six million and five thousandths

noname [10]

Answer:

6,000,000.005

Step-by-step explanation:

The correct answer in [standard form] is 6,500,000

one million= 1,000,000

six million= 6,000,000

one thousandth= .001

five thousandth= .005

6,000,000.005

Word Form: Six million and five thousandth

5 0

3 years ago

Helppp?!!!!!!!!!!!????!!!?????

Shalnov [3]

Answer:

-1.

Step-by-step explanation:

The difference of -3 and a number is -2. Find the number:

-3 - x = -2

x = -2 + (-3)

x = -1

-1 is the answer.

7 0

3 years ago

In a 24 km race, during which each runner maintains a constant speed throughout, Alice crosses the finish line while Becky is st

mr_godi [17]

Answer:6km

Step-by-step explanation:

Given

when Alice finishes the race Becky is 8km From finishing line

and caitlin 12 km from finishing line.

Suppose t is the time require by Alice to finish the race

and $V_a,V_b,V_c$ be the velocity of alice ,becky and caitlin

thus $t=\frac{24}{V_a}=\frac{24-8}{V_b}=\frac{24-12}{V_c}$

thus $\frac{V_b}{V_c}=\frac{4}{3}$

say t' is time required by beckey to complete 8 km thus

$V_b\times t'=8$

therefore for Caitlin

$V_c\times t'=\frac{8}{V_b}\times V_c=6$

Thus caitlin will cover a distance of 6 km in t' time and 6 km away from finishing.

7 0

3 years ago

Write the equation of the line that passes through the points (7, -4) and (-1,3), first in point-slope form, and then in

RoseWind [281]

Step-by-step explanation:

first we need to calculate the slope, which is needed in both equation forms.

the slope is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

I always prefer to go from left to right (but it works exactly the same way in the opposite direction), so I go from (-1, 3) to (7, -4).

x changes by +8 (from -1 to +7).

y changes by -7 (from +3 to -4).

so, the slope is -7/+8 = -7/8

when (7, -4) is used (I think you have a typo in the problem description up there), the point-slope form is

y - y1 = m(x - x1)

with (x1, y1) being the point coordinates, and m bring the slope

y - -4 = -7/8 × (x - 7)

or simplified

y + 4 = -7/8(x - 7)

the slope-intercept form is

y = mx + n

m being the slope, n being the y-intercept (y value for x=0).

we know already

y = -7/8 x + n

we also use the coordinates of a point here to solve for n :

-4 = -7/8 × 7 + n = -49/8 + n

-32/8 = -49/8 + n

17/8 = n

so, the full equation is

y = -7/8 x + 17/8

5 0

2 years ago