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3 years ago

Please help me with this problem

Mathematics

2 answers:

Greeley [361]3 years ago

5 0

It was d the answer is d man d

elena-s [515]3 years ago

4 0

I would go for be but double check

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Find the equation of a line that passes through (2,8) and is parallel to the graph of y=2x+6. Write the equation in slope-interc

Rashid [163]

Answer:

The equation of a parallel line would be y = 2x + 4

Step-by-step explanation:

In order to find the equation of this line, we first have to note that paralell lines have same slopes. Therefore, since the original line has a slope of 2, we know the new line will have a slope of 2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 8 = 2(x - 2)

y - 8 = 2x - 4

y = 2x + 4

3 0

3 years ago

Plz I need some help with 11-12 . My teacher didn’t even explain it correctly so now I’m confused.

rusak2 [61]

Answer:

Step 1: Transpose everything to one side

12. x²+16x+15-10x+4=0

Step 2: Add the like terms

x² + (16x - 10x) + 15 + 4=0

x² + 6x + 19=0

Step 3: Use the quadratic formula to get the value(s) of x.

a=1 b=6 c=19

$x = \frac{ - b + - \sqrt{b {}^{2} - 4ac } {}^{} }{2a}$

therefore, x=... or x

6 0

3 years ago

A random sample of 100 students was taken. Of the 100 students, 50 liked vanilla ice cream, 37 liked chocolate ice cream, and 13

tino4ka555 [31]

Answer:

444

Step-by-step explanation:

since 37/100 students liked chocolate you need to scale that data to the new data size and find thirty seven percent of 1200 which is 444

7 0

3 years ago

A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9 - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² - (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0

3 years ago

Pls help me!!!!!!!!!

Aliun [14]

Answer:

The perimeter is 30 units

Step-by-step explanation:

To find the perimeter of SOW, what we need to do is to add all the lengths around the triangle together.

But we only have OS, we do not have OW and WS. Thus , we need to get what the values of these lengths are before we can calculate the perimeter.

Please check the attachment for complete solution.

3 0

3 years ago