Is the y-coordinate of the vertex of f(x)=-x^2+6x+7, f(3)?

Plot the points in the coordinate plane. Then find the perimeter and area of the polygon.

anyanavicka [17]

Answer:

The answer to your question is below

Step-by-step explanation:

See the graph below

Process

1.- Find the distance from A to B, B to C, C to D, A to D

Formula

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}$

d AB = $\sqrt{(1 + 3)^{2} + (6 - 5)^{2}} = \sqrt{17}$

dBC = $\sqrt{(-2 -6)^{2} + (3 - 1)^{2}} = \sqrt{68}$

dCD = $\sqrt{(-1 - 3)^{2} + (-3 +2)^{2}} = \sqrt{17}$

dAD = $\sqrt{(-1 + 3)^{2} + (-3 - 5)^{2}} = \sqrt{68}$

2.- Find the perimeter

Perimeter = 2 $\sqrt{17} + 2\sqrt{68}$ = $6\sqrt{17}$ u

3.- Find the area

Area = $\sqrt{17} x \sqrt{68}$

Area = $\sqrt{17x68} = \sqrt{1156} = 34 u^{2}$

7 0

3 years ago

Simplify. please help 2+x8x3+xx

cricket20 [7]

Answer: = x11+x2+2

Step-by-step explanation:

7 0

2 years ago

2 = (-x) Help I'm a not so bright blonde!

makvit [3.9K]

If you need to solve this equation you can multiply the both side of equation on (-1). Like that
2 = (-x);
-1·2 = (-1)·(-x)
if you multiply negative and positive you'll have negative,
if you multiply negative and negative you'll have positive. So

-2 = x. or
x = -2.
The answer is -2.

5 0

3 years ago

Mark and Trisha are traveling in the same direction and Mark is going 16 miles per hour. Trisha is going 12 miles per hour but s

Lorico [155]

Answer:

32 miles

Step-by-step explanation:

Given data

Let the total distance be x miles

Marks speed= 16miles per hour

Trisha's speed= 12 miles per hour

Trisha has covered 8 miles and has (x-8) miles to finish line

We know that

Speed= distance/time

time= distance/speed

Hence the time taken for Mark to finish is

time= x/16---------------1

The time taken for Trisha to finish is

time= (x-8)/12-----------2

equate 1 and 2 above

x/16= (x-8)/12

cross multiply

16(x-8)= 12*x

16x-128= 12x

collect like terms

16x-12x= 128

4x=128

x= 128/4

x= 32 miles

Hence they will meet at exactly 32 miles along the way

5 0

3 years ago

HELP!!! Simplify cos^2 0 -1/ 4sin^2 0?

Shkiper50 [21]

We need to simpify the given expression. The given expression to us is ,

Given Expression :-

$\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }$

Using Identity :-

$\sf\implies \red{ sin^2\theta + cos^2\theta = 1}$

So that :-

$\sf\implies - sin^2\theta = cos^2\theta -1$

We have :-

$\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}}$

Hence the required answer is -1/4. 

5 0

3 years ago