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3 years ago

5

The graph of f(x) = |x-h| + k contains the blunts (-6,-2) and (0,-2). The graph has a vertex at (h,-5). Describe how to find the

value of h. Then, explain how this value translates the graph of the parent function.

1 answer:

GuDViN [60]3 years ago

8 0

Answer:

1

Step-by-step explanation:

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No links or wrong answers please!! 55 points

juin [17]

The areas of the figures are 4(x + 1), 7(d + 4) and y(y + 3)

<h3>How to determine the total areas?</h3>

<u>The figure 1</u>

In this figure, we have

Length = x + 1

Width = 4

The area is calculated as:

Area = Length * Width

So, we have

Area = 4(x + 1)

<u>The figure 2</u>

In this figure, we have

Length = d + 4

Width = 7

The area is calculated as:

Area = Length * Width

So, we have

Area = 7(d + 4)

<u>The figure 3</u>

In this figure, we have

Length = y + 3

Width = y

The area is calculated as:

Area = Length * Width

So, we have

Area = y(y + 3)

Hence, the areas of the figures are 4(x + 1), 7(d + 4) and y(y + 3)

Read more about areas at:

brainly.com/question/24487155

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4 0

2 years ago

The area of a rectangular swimming pool is 360 square feet. If the length of the swimming pool is 9 feet more than its width, fi

Inessa [10]

Answer:

l = 24ft

Step-by-step explanation:

A = lw

360 = (x + 9)(x)

360 = x^2 + 9x

0 = x^2 + 9x - 360

0 = (x + 24)(x - 15)

x ≠ -24 (length cannot be negative)

x = 15

l = 15 + 9

l = 24ft

7 0

3 years ago

80 points! pls help! Recall that the equation for horizontal distance h in feet of a projectile with initial velocity v0 and ini

dem82 [27]

Answer:

a) 0.6435 radians

b) 80.1 feet/sec

Step-by-step explanation:

a) 75 = (50²/16)sin(theta)cos(theta)

sin(theta)cos(theta) = 0.48

2sin(theta)cos(theta) = 0.96

sin(2theta) = 0.96

2theta = 1.287002218

Theta = 0.6435011088 radians

b) 200 = (v²/16)sin(0.75)cos(0.75)

6416.072347 = v²

v = 80.10038918 feet/sec

6 0

3 years ago

A figure is composed of a rectangle and a right triangle. What is the area of the figure?

strojnjashka [21]

QUESTION 1

The figure is a tra-pezoid.

The area of a trapezoid is given by the formula;

$A=\frac{1}{2}(Sum\:of\:parallel\:sides)\times h$

We substitute the values to obtain;

$Area=\frac{1}{2}(13.2cm+8.4cm)\times 6cm$

$Area=\frac{1}{2}(21.6cm)\times 6cm$

$Area=64.8cm^2$

QUESTION 2

The approximate length of the ribbon is equal to the circumference of the circular table cloth.

We can find this by using the formula for calculating the circumference of a circle.

$C=2\pi r$

where $r=3.5ft$ is the radius of the circular table cloth.

We substitute this value and $\pi=3.14$ into the formula to get;

$C=2(3.14)(3.5)ft$

$C=21.98ft$

The approximate length of the ribbon is 22.0ft to the nearest tenth.

QUESTION 3

Type of quadrilateral:Rectangle

Explanation: A rectangle has 4 angles that are right angles.

The two pairs of opposite sides of a rectangle are also congruent.

QUESTION 4.

The circumference of a semi circle is calculated using the formula;

$C=\pi r$

where $r=12.5cm$ is the radius of the semicircle.

$C=3.14\times 12.5cm$

$C=39.25cm$

QUESTION 5

The area of the entire figure is the area of the semicircle plus the area of the isosceles triangle.

$Area=\frac{1}{2}\pi r^2+\frac{1}{2}bh$

$Area=\frac{1}{2}\times3.14\times12.5^2+\frac{1}{2}\times25\times 24$

$Area=345.3125+300$

$Area=645.3125cm^2$

$Area\approx645cm^2$

QUESTION 6

The area of the parallelogram is given by the formula;

$A=bh$

From the diagram, $b=y\:in.,h=3in.$ .

Given, A=23.7 inches squared.

We substitute the values to obtain;

$23.7=3y$

$y=\frac{23.7}{3}$

$y=7.9in.$

QUESTION 7

The area of a rectangle is given by the formula;

$Area=l\times b$

The area of the bigger rectangle $=9\times15=135in^2$

The area of the smaller rectangle $=8\times 13=104in^2$

The area of the shaded region $=135-104=31in^2$

5 0

3 years ago

Help me pleaseeeeee thankyou

ddd [48]

Answer:

2.1

Step-by-step explanation:

you round the one and thus 2.1

6 0

3 years ago