A painter has a 24-foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach?

Answers

Answer 1

Answer: pythagorean theorem
legnth of lader is hypotonuse (leaning against wall and wall is one leg and distance from wall to bottom of ladder is other leg)

so
a^2+b^2=c^2 where a and b are legs and c=hypotonuse

a=8

c=24
8^2+b^2=24^2
64+b^2=576
subtract 64
b^2=512
square root both sides
22.62
round to tenth
22.6

answer is 22.6 ft

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70.443+4.885*2.6-16 rounded to the nearest interger

Answers

you use PEMDAS

4.885*2.6=12.701

12.701+70.443=83.144

83.144-16=67.144

and now you can round since the decimal is smaller than 0.500 you round down getting the answer of 67

Part A: Factor x2a2 + 3xa2 + 2a2. Show your work. (4 points)

Answers

Hope this is what you need

Answer:

I am not sure of the equation but I interpreted it as x^2a^2+3xa^2+2a^2

Step-by-step explanation:

X^2a^2+3xa^2+2a^2

1. a^2 (x^2+3x+2)

2.a^2(x^2+2x+x+2)

3. a^2(x(x+2)+x+2)

4. a^2(x+2)(x+1)

The cost y (in dollars) to rent a car is proportional to the number x of days that you rent the car. It costs $207 to rent the cars for 3 days. Write an equation that represents the situation.

Answers

207/3= x
Because if you divide 207, by three you get the daily cost of the rental car. From then on, you can easily find the cost of the rental car over any amount of time. I hope this helped!

Any two triangles can be joined to make a rhombus? correct or incorrect. if is incorrect explain.

Answers

Incorrect; Only two isosceles triangles can form a rhombus.

Incorrect. It will only work with two isosceles triangles because of the lengths of the sides.

Which is the graph of f(x) = (x – 1)(x + 4)?On a coordinate plane, a parabola opens down. It goes through (negative 1, 0), has a vertex at (1. 75, 6.2), and goes through (4, 0).

On a coordinate plane, a parabola opens down. It goes through (negative 4, 0), has a vertex at (negative 1. 75, 6.2), and goes through (1, 0).

On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1. 75, negative 6.2), and goes through (4, 0).

On a coordinate plane, a parabola opens up. It goes through (negative 4, 0), has a vertex at (negative 1. 75, negative 6.2), and goes through (1, 0).

Answers

Answer:

None of the above

Step-by-step explanation:

See the attachment for x-intercepts and vertex coordinates. These coordinates do not match any of the answer choices.

___

The closest choice is the last one. It has the direction of opening and the intercepts correct, but the vertex coordinates wrong.

We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."

What is a parabola?

A parabola is a plane curve created by a moving point whose distance from a stationary point equals its distance from a fixed-line.

How do we solve the given question?

In the question, we are given an equation of f(x) = (x - 1)(x + 4), and are asked to identify its graph.

The given equation is of a parabola in the intercept form f(x) = a(x - p)(x - q), which opens up if a > 0 and opens down if a < 0, and which has a vertex at the point $\left ( (p+q)/(2),f\left ( (p+q)/(2) \right ) \right )$ , and passes through the point (p, 0) and (q, 0).

Comparing the equation f(x) = (x - 1)(x + 4) to f(x) = a(x - p)(x - q), we get

a = 1, p = 1, q = -4.

Since, a > 0 (a = 1), we can say that it opens up.

Now, we calculate (p + q)/2 = (1 - 4)/2 = -1.5

f((p + q)/2) = f(1.5) = (-1.5 - 1)(-1.5 + 4) = (-2.5)(2.5) = -6.25.

Thus, the vertex is at point (-1.5, -6.25).

Also, the equation passes through the points (-4, 0) and (1, 0).

∴ We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."

Learn more about a Parabola at

brainly.com/question/17987697

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What is 5d - 10 = 20

Answers

Here is your equation:

$5d-10=20$

In this equation, you're looking for the value of d alone. That means you would have to move everything next to the variable to the other side. You can do that by doing the opposite of what's being done to it.

In this equation, 5d is being subtracted by 10(-10). The opposite of that is adding 10(+10). You would have to add 10 to both sides, since -10 and +10 cancel out each other.

The first thing you are going to do is add 10 to both sides.

$5d-10+10=20+10 \n 5d = 30$

Now you're left with the equation 5d=30. Remember that you're looking for d alone. In the current equation, d is being multiplied by 5(5d ⇒ 5 × d). Again, you're going to do the opposite of what's being done to it. The opposite of multiplying is dividing, therefore, you're going to divide both sides by 5, since the 5 divided by 5 is 1, which cancels out the 5.

Divide both sides by 5.

$(5d)/(5) =(30)/(5) \n \nd=6$