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Lana71 [14]
2 years ago
12

X + y - z = - 2, 2x - y + z = 8, - x + 2y + 2z = 10

Mathematics
1 answer:
Maurinko [17]2 years ago
3 0

Answer:

a

Step-by-step explanation:

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Find the surface area of the net below.
dedylja [7]

Answer:

472 in²

Step-by-step explanation:

This net is made up of 3 identical rectangles and 2 identical triangles.

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

<u>Rectangle</u>

  • width = 8 in
  • length = 19 in

<u>Triangle</u>

  • base = 8 in
  • height = 2 in

<u>Surface Area</u>

SA = 3(8 x 19) + 2(0.5 x 8 x 2)

⇒ SA = 456 + 16

⇒ SA = 472 in²

5 0
2 years ago
A rectangle's perimeter and area have the same value. The width of the rectangle is 6 units. What is the length of the rectangle
Sliva [168]

Answer:

The length ot rectangle is 3 units.

Step-by-step explanation:

The formula for perimeter is P = 2l + 2w and the area is A = l×w. Assuming that the perimeter and area have the same values so you have to compare it :

perimeter = 2l + 2w

area= l \times w

perimeter = area

2l + 2w = lw

let \: w = 6

2l + 2(6) = 6l

2l + 12 = 6l

12 = 6l - 2l

4l = 12

l  = 3 \: units

8 0
3 years ago
This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for
worty [1.4K]

Answer:

58

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Mackenzie is working two summer jobs, making $7 per hour babysitting and making $13 per hour landscaping. In a given week, she c
Harrizon [31]

Answer:

$ 18.00

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Guysss plsss HEELPPP ME ILL MARK BRAINLIEST PLLLSSSSSS HELP
Vitek1552 [10]

Answer:

y=-2\,(x-6)^2+246

with the video game cost of x = $6

This agrees with the last option in the list of possible answers

Step-by-step explanation:

Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:

y=ax^2+bx+c

is given by:

x_{vertex}=\frac{-b}{2\,a}

In our case, the quadratic expression that generates the parabola is:

y=-2x^2+24x+174

then the x-position of its vertex is:

x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{-24}{2\,(-2)}\\x_{vertex}=\frac{-24}{-4)}\\x_{vertex}=6

This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

y=-2x^2+24x+174\\y_{vertex}=-2\,(6)^2+24\,(6)+174\\y_{vertex}=-72+144+174\\y_{vertex}=246

This value is the highest weekly profit (y = $246).

Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position (x_{vertex},y_{vertex}):

y-y_{vertex}=a\,(x-x_{vertex})^2\\y-246=-2\,(x-6)^2\\y=-2\,(x-6)^2+246

Therefore the answer is:

y=-2\,(x-6)^2+246

with the video game cost of x = $6

6 0
2 years ago
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