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3 years ago

12

Rectangle JKLM is rotated 90° clockwise about the origin. On a coordinate plane, rectangle J K L M has points (negative 4, 1), (

negative 1, 1), (negative 1, negative 1), (negative 4, negative 1). What are the coordinates of J’? J’(–1, –4) J’(4, –1) J’(1, 4) J’(4, 1)

1 answer:

Alexus [3.1K]3 years ago

3 0

Answer:

(4,-1)

Step-by-step explanation:

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Solve for b to the nearest hundredth:

lawyer [7]

The right answer is B (b=-0.243)

7 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

3 years ago

Cant figure out number 5

musickatia [10]

Answer:

It is again the fourth answer VerifiedExpert

Step-by-step explanation:

If you graph of sub in values, you will see no answer dips below (-7,0).

Hope it helps.

5 0

3 years ago

A local boys club sold 176 bags of mulch and made a total cost of $520.They sold hardwood mulch for $3.50 per bag and pine bark

ExtremeBDS [4]

Answer:

So here is the answer.

We represent h = hardwood and p = pine bark

Here is the equation: h + p = 176

2.75p + 3.50h = 520

Next, p = 176 -h (substitute)

2.75 (176-h) + 3.5h = 520

484 -2.75h + 3.5h = 520

3.5h-2.75h = 520 -484

0.75h = 36 (divide both by 0.75)

h = 48

Therefore, the number of hardwood sold is 48.

h + p = 176

p = 176-48

p= 128

The number of pine bark sold is 128.

Hope this helps :)

Step-by-step explanation:

5 0

4 years ago

IDK what to do anymore!!!!

Salsk061 [2.6K]

Answer:

Every morning, I get up and wash my face. Then I sit at my desk and I write. It can be anything. To your future self who will hopefully never read it, a letter to someone you like or don't like regardless of whether you give it to them. Maybe write about what you're feeling in the moments between waking up and sitting down. Don't stop writing until you've emptied your head and put it all on paper.

I don't remember where I learned this but it was called Morning Pages. Some call it Mourning Pages because you're saying goodbye to yesterday and looking forward to the day coming.

Was that what you were looking for??? Or???

3 0

3 years ago