All categories

4 years ago

The vertices of a triangle are A(0, 0), B(3, 8), and C(9, 0). What is the area of this triangle?

2 answers:

8 0

Answer: 36 units squared.

Explanation:
Area of a traingle is given by,

| 0.5{x1(y2-y3) + x2(y3-y1) + x3(y1-y2)} |

Accepting the values of the coordinates in x's and y's,

x1 =0, y1=0

x2=3, y2=8

x3 =9, y3=0

= | 0.5 × (-72)|
= 36 unit squared.

schepotkina [342]4 years ago

7 0

Answer:

Step-by-step explanation:

(formula for area for coordinates geometry is applied)

1/2|( put in the coordinates tht they give u) |

1/2|-72|

1/2 (72)

=36

You might be interested in

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by

a_sh-v [17]

Answer:

Dimension of the box is $16.1\times 7.1\times 2.45$

The volume of the box is 280.05 in³.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is $L=21-2h$

The width of the box is $W=12-2h$

The volume of the box is $V=L\times W\times H$

$V=(21-2h)\times (12-2h)\times h$

$V=(21-2h)\times (12h-2h^2)$

$V=252h-42h^2-24h^2+4h^3$

$V=4h^3-66h^2+252h$

To maximize the volume we find derivative of volume and put it to zero.

$V'=12h^2-132h+252$

$0=12h^2-132h+252$

Solving by quadratic formula,

$h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}$

$h=\frac{132\pm72.99}{24}$

$h=2.45,8.54$

Now, substitute the value of h in the volume,

$V=4h^3-66h^2+252h$

When, h=2.45

$V=4(2.45)^3-66(2.45)^2+252(2.45)$

$V\approx 280.05$

When, h=8.54

$V=4(8.54)^3-66(8.54)^2+252(8.54)$

$V\approx -170.06$

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is $L=21-2(2.45)=16.1$

The width of the box is $W=12-2(2.45)=7.1$

So, Dimension of the box is $16.1\times 7.1\times 2.45$

6 0

4 years ago

Y=1/2×-6 ×=-4 what is the solution to the system of equations

hodyreva [135]

Answer:

(-4, -8)

Step-by-step explanation:

Use the substitution method. x = -4, so y = (1/2)x - 6 becomes:

y = (1/2)(-4) - 6, or y = -2 - 6, or y = -8.

The solution is (-4, -8).

8 0

3 years ago

Please help!!! I’ll mark you the Brainlyest!!

Tatiana [17]

Answer: C.

Step-by-step explanation:

i hope this helpes!!

3 0

3 years ago

Read 2 more answers

What is 9x-7y=-7 in slope intercept form?

Novay_Z [31]

Slope intercept form is y = mx + b

So if you start with 9x - 7y = -7, the first thing you need to do is move the 9x to the other side of the equation by subtracting it from both sides.
9x - 7y = -7
-9x -9x

Now you have -7y = -9x -7

For the equation to be in slope intercept form now you should divide every term by the number in front of your y. In this case divide every term by -7
-7y = -9x -7
-7 -7 -7

That leaves you with: y = 9x/7 + 1

4 0

4 years ago

A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $15

artcher [175]

The closest i can think of that makes since is 1560=30(52)+b, mainly because
30 x 52 = 1560 so that's what i think it is and if im wrong sry.

3 0

3 years ago

Read 2 more answers