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2 years ago

I need to find the equation for this.. I keep getting confused please explain

Mathematics

1 answer:

weqwewe [10]2 years ago

6 0

The vertex form equation is y = a(x-h)^2+k
Lets substitute our given information.

y = a(x-1)^2+5

Now, lets put in the coordinate it needs to pass through.

8 = a(2-1)^2 + 5
8 = a + 5
a = 3

Now, lets make the equation now that we know a.

y = 3(x-1)^2+5

Hope this helps!

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Part B if the height of each prism is 10 Cm what is the surface area prism

Evgen [1.6K]

Answer:

Prism A:

$Area = 288cm^2$

Prism B:

$Area =250cm^2$

Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

7 0

2 years ago

Help ASAP i need a lot of help

sleet_krkn [62]

Answer:

12.

Step-by-step explanation:

to find the permiter of a rectangle you add the lengths of the rectangles four sides .

4 0

2 years ago

Suppose you can work at most a total of 25 hours per week. Baby-sitting, x, pays $6 per hour and working at the grocery store, y

Andrei [34K]

Answer:

y=7 number of hours at grocery store

x=18 number of hours at baby- sitting

Step-by-step explanation:

According to the information provided.

x is number of hours at baby- sitting

y is number of hours at grocery store

total number of hours worked

1) x+y =25

total earn in a week

2) x*$6 + y* $9 = $171

from equation 1

x+y=25

x= 25-y

we place the above derived equation in equation 2

x*$6 + y* $9 = $171

(25-y)*$6 + y* $9 = $171

(25*6) -6y +9y =171

150+3y=171

3y=171-150

3y=21

y=7 number of hours at grocery store

x= 25-y

x= 25-7

x=18 number of hours at baby- sitting

3 0

3 years ago

What is the leading coefficient of the polynomial? 7x + 5x2 − 9x3 − 10

expeople1 [14]

Answer:

The leading coefficient of the polynomial is -9.

Step-by-step explanation:

9 is the leading coefficient of this polynomial because if you rearrange the exponents from greatest to least, you will get this :

-9x3 + 5x2 + 7x -10

Your leading coefficient is the number included with your degree or highest exponent.

3 0

3 years ago

7-0.3×>4 solve for x

Troyanec [42]

Answer:

x<10

Step-by-step explanation:

Add '-7' to each side of the equation.

7 + -7 + -0.3x = 4 + -7

Combine like terms: 7 + -7 = 0

0 + -0.3x = 4 + -7

-0.3x = 4 + -7

Combine like terms: 4 + -7 = -3

-0.3x = -3

Divide each side by '-0.3'.

x = 10

Simplifying

x = 10

4 0

3 years ago