All categories

3 years ago

Find the area of the polygon with the given vertices. J(-3,4), K(4,4), L(3,-3)

Mathematics

1 answer:

Margarita [4]3 years ago

3 0

Answer:

<h2> A = 24.5 square units</h2>

Step-by-step explanation:

$J(-3,\,4)\ \ \implies\ y_J=4\\\\K(4,\,4)\ \ \implies\ y_K=4\\\\y_K=y_J\ \ \implies\ JK\parallel X{-}axis\ \implies\ H=|y_L-y_K|\quad\ \{for\ JK=base\}\\\\H=|-3-4|=|-7|=7\\\\\\ JK\parallel X{-}axis\ \implies\ B=JK=|x_J-x_K|=|-3-4|=7\\\\\\A=\frac12BH\\\\A=\frac12\cdot7\cdot7=24.5$

You might be interested in

Consider the quadratic function f(y) = 8y2 – 7y + 6. What is the constant of the function?

Over [174]

The constant is 6. A constant is just the number on its own. Quadratics follow the form f(x) = ax^2+bx+c. The c is the constant.

7 0

3 years ago

A chestnut falls out of a tree 45 feet above the ground. Use the vertical motion model, H=-16t^2+vt+s s to find how long it take

valentinak56 [21]

Answer:

1.7 seconds

Step-by-step explanation:

we have

$H=-16t^2+vt+s$

where

v is the initial velocity (in feet per second)

s represents the initial height (in feet)

In this problem we have

$v=0$ ---> because the object is dropped

$s=45\ ft$

substitute

$H=-16t^2+45$

Remember that

When the chestnut hit the ground the value of H is equal to zero

For H=0

$-16t^2+45=0$

solve for t

$16t^2=45\\t^2=2.8125\\t=\pm1.7\ sec$

therefore

The solution is t=1.7 sec

7 0

3 years ago

Elias and Mark together have $756.80. Elias has $489.50. Write and solve an addition equation to determine how much money Mark (

Degger [83]

Answer:

489.5 + m = 756.80 (the amount elias has, added to marks is equal to the total

(756.8- 489.5 = 267.30 which is the amount mark has.)

m= 267.3

the last option is the correct option

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A sofa regularly sells for 860. The sale price is 670.80. Find the percent decrease of the sale price from the regular price

andre [41]

Answer:

-22%

Step-by-step explanation:

The percent decrease can be found by subtracting the original amount from the sale price. Divide the result by the original price and multiplying the decimal by 100 for the percent.

670.80 - 860 = -189.2

-189.2/860 = -0.22

-0.22*100 = -22%

4 0

3 years ago

The number of fish (f) in a fish tank increases when the number of algae blooms (a) decreases. Write the correct equation for th

Artyom0805 [142]

Answer:

f = -2/5a +14
12.4 ≈ 12 fish for 4 algae blooms

Step-by-step explanation:

The 2-point form of the equation for a line is useful when you are given two points to work with:

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

The independent variable (x) is apparently "algae blooms" and is to be represented by "a". The dependent variable (y) is "number of fish" and is to be represented by "f". So, we have ...

f = (4 -10)/(25 -10)(a -10) +10

f = -6/15(a -10) +10

f = -2/5a +14 . . . an equation for the scenario

Four a=4, the fish population is predicted to be ...

f = -2/5(4) +14 = 12.4

There will be about 12 fish when there are 4 algae blooms.

6 0

3 years ago