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3 years ago

How many square units are in an office that is 13 units by 9 units? 22 117 121 130?

1 answer:

8 0

Square units are the units of measuring area. Therefore, this question asks for the area of the room.

The room has the shape of a rectangle with:
length = 13 units and width = 9 units

The are of the rectangle can be calculated using the following rule:
area of rectangle = length * width
area of the room = 13 * 9 = 117 square units

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A 21 inch piece of steel is cut into three pieces so that the second piece is twice as long as the first, the third piece is 3 i

mestny [16]

3f+3=t
s=2f
21=f+s+t

21=f+(2f)+(3f+3)
21=6f+3
18=6f

3=first
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2 years ago

Hey guys I need some help; I would really appreciate it :)

Masja [62]

Their answer is correct so you need explanation?

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2 years ago

Evaluate the function t(x)=19-x, when x=-3

Zigmanuir [339]

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3 years ago

Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,

MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

$=0-0+6$

$=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴ x coordinate = $\frac{-(-7)}{2 \times 1}$

$\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

= -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height $h(x)=0$ . The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$ .

Thus Kendra dives out of the water surface at 6 feet from the board.

3 0

2 years ago

Sarah bought a sweater at the sale price of $18 the original cost of the sweater was $40 what percent represents the discount th

igomit [66]

Let’s remember the most basic thing in percentages, the equation.

Percent x Whole = Part.

We know the whole, and the part, but we are trying to find the percent, so we have to divide the two, first turn your whole and part into a decimal.

Percent x 0.4 = 0.18, so we divide 0.18 by 0.4

0.18/0.4 = 0.45

0.45 = 45%

8 0

3 years ago