Please Answer!!! (I Give Brainliest!)

Caleb has driven 820 miles of his road trip. He has 20% of his trip left to go. How many miles does he have left to go? Need asp

Neporo4naja [7]

He has 164 miles left

5 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

Look at this triangle. B 8 cm A А 22 cm С Work out length AB.

Alona [7]

Answer:

Can your provide a picture ??

8 0

3 years ago

Who's most brainiest to answer these 2 questions? Will mark ya'll brainiest. Pls show all work!

stepladder [879]

Answer:

A = picture attached

B = 51 in²

Step-by-step explanation:

The picture attached is the answer for part A. You use the dimensions you already know from the first picture to fill in the net of the slice of pie.

Area of the triangle = 1/2 (base × height)

A = 1/2 (4 × 6) = 1/2 (24) = 12

The area of the triangle is 12. The top is a triangle, but the bottom is also a triangle with the same area. Therefore, the area of the two triangles combined is 24 in². Next, we have to find the area of the rectangle at the sides of the pie.

Area of rectangle = length × width

A = 5 × 2.5 = 12.5

Since there are two rectangles with the same area on both sides of the pie, we can double it and get 25 in². We still have one rectangle left, the one at the back of the pie.

A = 6 × 2.5 = 15

Add the areas altogether to get the answer.

24 + 12.5 + 15 = 51.5 in²

I hope this helps. Sorry if Part B's answer is wrong.

4 0

2 years ago

Solve the equation. ∣x−2∣=∣4+x∣

3241004551 [841]

This equation cannot be solved as there is one “x” on each side, which would cancel each other out and leave us with:

-2 = 4

this statement is not true, so there is no solution.

hope this helps. ❤️

8 0

3 years ago