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DiKsa [7]
3 years ago
6

Can someone help me with this, please & thanks. :)

Mathematics
1 answer:
Rasek [7]3 years ago
7 0
Multiply bath sides by (-13)


Step 1:(-13).a/(-13) <= -16(-13) ===> . Mistake since she the < sign into >

Step 2: a<=208  is the right answer


Step 3: The line should go from 208 to the left & not to the right
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I NEEEED HELP!!! please show work in answer and no blank or nonsense answers please :)
rodikova [14]

Answer:

225 pi = pi r^2 h

225 = r^2*h

225/1 = r^2

sqrt. (225) = r

r = 15

8 0
3 years ago
Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ
In-s [12.5K]
PART A

The equation of the parabola in vertex form is given by the formula,

y - k = a {(x - h)}^{2}

where

(h,k)=(1,-2)

is the vertex of the parabola.

We substitute these values to obtain,


y  + 2 = a {(x - 1)}^{2}

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.


6  + 2 = a {(3 - 1)}^{2}


8= a {(2)}^{2}


8=4a


a = 2
Hence the equation of the parabola in vertex form is


y  + 2 = 2 {(x - 1)}^{2}


PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

y + 2 = 2(x - 1)(x - 1)


We expand to obtain,


y + 2 = 2( {x}^{2}  - 2x + 1)


This will give us,


y + 2 = 2 {x}^{2}  - 4x + 2


y =  {x}^{2}  - 4x

This equation is now in the form,

y = a {x}^{2}  + bx + c
where

a=1,b=-4,c=0

This is the standard form
7 0
3 years ago
Mikes plumbing charges 68 for coming to your house and 17 per hour for labor if I paid him 357, how many hours, h, was mike at m
Roman55 [17]

Answer:

b. 68 + 17h = 357

f. 17 hours

Step-by-step explanation:

Charges for coming to my house = $68 (this will be the constant of the equation)

Amount charged per hour labor = $17

hours = h

Total amount paid to Mike = 357

The equation that represents this situation can be expressed as:

68 + 17h = 357

Solve for h

68 + 17h - 68 = 357 - 68 (subtraction property of equality)

17h = 289

\frac{17h}{17} = \frac{289}{17} (division property of equality)

h = 17

Mike was in my house for 17 hours.

5 0
3 years ago
Calculate the perimeter of the quadrilateral. Trapezoid
antoniya [11.8K]
I need to know the sides of the trapezoid in order to find the perimeter
8 0
3 years ago
Paul has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Paul have?
dalvyx [7]

Answer:

2 tablespoons of salt

Step-by-step explanation:

If 3 teaspoons are equal to 1 tablepoon, we can divide the 6 tablespoons by 3 to get our answer of 2 tablespoons.

(sorry if this is confusing but I hope it helped)

7 0
2 years ago
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