work the area of a rectangle out but already knowing the area and needing to know the length as it is two centermeters more than the width, area being 469

Answers

Answer 1

Answer: the area of a rectangle is the length times width:
a = l*w
the length is 2 centimeters more than the width:
l = w + 2
express area in terms of width
a = l*w
a = (w + 2)w
a = w^2 + 2w
w^2 + 2w = 469
w^2 + 2w - 469 = 0
we can solve using the general quadratic formula:
w = (-2 +- √(4 + 1876))/2
w = (-2 +- 43.36)/2
we use the positive solution:
w = (-2 + 43.36)/2
w = 20.68
thus the width is 20.68 cm
l = w + 2 = 20.68 + 2
l = 22.68
and the length is 22.68 cm

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Write an equation of a line parellel to -6x-2y=12 through (3,1)

Answers

Hello,

-6x-2y=12==>y=-3x-6 slope=-3

y-1=-3(x-3)==>y=-3x+10

Anits takes 8 hours to build 5 birdhouses. How many birdhouses could she Build in 24 hours?

Answers

The answer would be 15 because the problem states that it takes 8 hours to build 5 birdhouses and they want to know how many she can build in 24 hours if you multiply 8 and 5 with the number 3 you would get 24 hours and 15 birdhouses.

Quick!! write an equation in slope intercept form using points (-3,0) (3,-4) !

Answers

Answer:

i dunno but the slope is -4/6

Step-by-step explanation:

y=-2/3x -2 this is the slips intercept form
You do y1-y2/x2-x1 and then find the rest using y=mx+b

9(n-4)-7n=32-2(n+8)

Answers

Answer:

answer is 13

Step-by-step explanation:

hope it helps.

a rock is launched from a canon. it's height, h(x), can be represented by a quadratic function in terms of time, x, in seconds. After 1 second, the Rock is 58 ft in the air; after 2 seconds, it is 112 feet in the air. find the height, in feet, of the rock after 10 seconds in the air.

Answers

This is the quadratic function:
h(x)=ax²+bx+c

We have two points:
(1,58)
(2,112)

Now, we calculate this quadratic funtion.

we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0

(1,58)
a(1)²+b(1)=58
a+b=58 (1)

(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)

With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2

-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60

The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x

Now find the height, in feet, of the rock after 10 seconds in the air.

h(10)=-2(10)²+60(10)
h(10)=-200+600=400

Answer: 400 ft.

Answer: 400 ft.

For Plato

A number is selected at random from the set {2, 3, 4, … 10}. Which event, by definition, covers the entire sample space of this experiment?a. The number is greater than 2.
b. The number is not divisible by 5.
c. The number is even or less than 12.
d. The number is neither prime nor composite.
e. The square root of the number is less than 3.

Answers

let's do process of elimination

a) 2 is part of the set and 2 is not greater than 2. NO

b) 5 and 10 in the set are divisible by 5. NO

c) 2,4,6,8,10 are even but the rest are odd ( BUT note the word "or"). the rest are less than 12. YES

d) 0 and 1 are the only numbers that are neither prime nor composite (they're not even part of the set). NO

e) the square root of 9 is 3 so the maximum number is 9 (but what happened to 10?) NO

For our given sample, the only true statement is:

c. The number is even or less than 12.