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alina1380 [7]
3 years ago
5

the product of two numbers is 450. The first number is half of the second number. Which equation can be used to find x, the grea

ter number?
Mathematics
1 answer:
storchak [24]3 years ago
6 0
Y = 0.5x
0.5x times x = 450
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Can someone help me with question 1 and 2?
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2. 4

Step-by-step explanation:

use the formula A=ab/2

a-leg 1

b-leg 2 (base)

since it is a right triangle the height would be 2 cm and the base would be the leg (4 cm)

plus into the equation- A= 2(4)/2

8/2=4

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The formula P = 4s gives the perimeter P of a square with side length s.
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It would be bigger than 1/2 inches because they are simply asking for the difference which is 5 1/2-5= 1/2.

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2 years ago
Find the value of r (5,9) (r,7) m=-4
jolli1 [7]

Answer:

r = 11/2

Step-by-step explanation:

m = slope

slope, m = (y2 - y1)/(x2 - x1)

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6 0
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
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