Do you guys know the domain and range to this?

Answers

Answer 1

Answer: The domain is any number greater then negative five. The range is any number greater than negative two.

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How do you find the perimeter of triangle ABC?

Answers

Alright, so we'll use the Pythagorean Theorem for this one.
⇒ a²+b²=c²

The hypotenuse of a triangle is represented by c² and we're given the values for a and b. For this triangle, we'll make 15 = a and 20 = b. Plug this into the equation and we'll have (15)² + (20)² = c ². This gives us 625 = c². Solve for c by square rooting both sides of the equation. √(625) = c. We now know that c = 25. To take the perimeter, we add a + b + c ⇒ (15) + (20) + (25) = Perimeter.

-Hope this helps!

do the Pythagorean Theorem - a^2+b^2=c^2

20^2+15^2=c^2
400+225=c^2
625=c^2
sqrt(625)=c
c=25

Add all of the sides up and you get 25+15+20=60

What is the area of the polygon given below? Please explain how you got the answer

Answers

The area is the sum of 3 rectangles areas
First          12 * 19 = 228
Second       3 * 3   = 9
Third           2 * 17 = 34

so the area = 228 + 34 + 9 = 271 square units

The total area is 271 square units.

Here is something that I almost never do, but I'm going to
do it this time:

I almost never draw a picture or a diagram to show how I got
my answer. But this one would be so complicated to try and
explain with text, that I marked my process on top of your
picture, and I attached my final picture to this answer.

It'll show you how I split the whole figure up into one square
and two rectangles, then found the area of each piece, and
then added them all together.

Ana bought a van that holds 20.75 gallons of gas and gets an average of 15.5 miles per gallon. How many miles can she expect to drive on a full tank of gas? *

Answers

The van holds 20.75 gallons.

The van gets an average of 15.5 miles per gallon.

To find your answer, multiply 20.75 by 15.5.

So, 20.75 x 15.5 = 321.625.

Round off to the nearest hundred to get 300 miles.

What will multiply to 16 and add to 1?

Answers

37 is the right answer because 47 is not mutable and 27 is too short

Which type of triangle is formed with the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices?

Answers

We will have to use the distance formula in order to determine the lengths of each side of the triangle.

Distance formula: $\sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2) }$

Let's calculate AB first:
A (1, 7) and B (-2, 2)
A: x1 = 1 and y1 = 7
B: x2 = -2 and y2 = 2

so
$\sqrt{(-2 - 1)^(2) + (2 - 7)^(2) }$
$\sqrt{(-3)^(2) + (-5)^(2) }$
$√(9 + 25 )$
AB = $√(34)$ or (rounded to the nearest tenth) ≈ 5.8

Now let's do BC:
B: x1 = -2 and y1 = 2
C: x2 = 4 and y2 = 2

So
$\sqrt{(4 - -2)^(2) + (2 - 2)^(2) }$
$\sqrt{(6)^(2) + (0)^(2) }$
BC = $√(36 )$ or 6

Now let's do CA
C: x1 = 4 and y1 = 2
A: x2 = 1 and y2 = 7

So
$\sqrt{(1 - 4)^(2) + (7 - 2)^(2) }$
$\sqrt{(-3)^(2) + (5)^(2) }$
$√(9 + 25)$
CA = $√(34)$ or (rounded to the nearest tenth) ≈ 5.8

So let's recap:

AB ≈ 5.8
BC = 6
CA ≈ 5.8

So AB and AC are the same length while BC is .2 units longer which means this is an isosceles triangle.

The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?

Answers

Answer:

Step-by-step explanation:

g(x)=3(x-6)
adding or subtracting from x results in a shift to the left or right and adding or subtracting from the whole equation shifts the graph up or down

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