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3 years ago

ASAP ASAP ASAP other question quickly

Mathematics

1 answer:

Mashcka [7]3 years ago

6 0

Answer:

10 feet from the house.

Step-by-step explanation:

The Pythagorean theorem consists of a^2 + b^2 = c^2.

In this problem we are given a and c, but not b

24^2 + b^2 = 26^2

576 + b^2 = 676

Subtract a from c, 676 - 576 = 100

The square root of 100 is 10

Therefore, the bottom of the ladder is 10 feet from the base of the house.

Hope this helps! :)

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Three roots of a fifth degree polynomial function f(x) are -2, 2, and 4 + i. Which statement describes the number and nature of

Juli2301 [7.4K]

We know that imaginary roots always come in pairs, so we already know 4 solutions

-2, 2, 4 + i and a pair of 4 + i

Since imaginary roots always come in pairs we wont have more than 2 imaginary roots, since its a fifth degree root and we can only have 5 roots

So for sure, we will have 3 real roots and 2 imaginary roots

Last option, f(x) has three real roots and two imaginary roots

3 0

3 years ago

10x-2y=18 8x=y solve by substitution

lana [24]

Answer:

x = -1 and y = 18

Step-by-step explanation:

Given the system of equations

y + 8x = 10... 1

2y - 4x = 40 ... 2

From 1; y = 10-8x

Substitute into 2;

2(10-8x) - 4x = 40

20 - 16x - 4x = 40

20 - 20x = 40

-20x = 40 - 20

-20x = 20

x = -1

Recall that y = 10-8x

y = 10 - 8(-1)

y = 10 + 8

y = 18

therefore your answer is x = -1 and y = 18

4 0

2 years ago

Read 2 more answers

The data in the table represent the height of an object over

Arada [10]

<u>Answer:</u>

The correct answer option is quadratic, because the height increases and then decreases.

<u>Step-by-step explanation:</u>

We are given the following data in the table which represents the height of an object over time:

Time (s) Height (ft)

0 5

1 50

2 70

3 48

We know that in situation where the values increase and then decreases, a quadratic model is used.

From the values given in the table, we can see that the values of height first increased and then decreased with the increase in time.

Therefore, the model used is quadratic, because the height increases and then decreases.

5 0

3 years ago

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Write a coordinate proof to prove that the segment that joins the vertex angle of an isosceles triangle to the midpoint of its b

Natalija [7]

Answer:

Slope of the base segment line is zero, hence base segment is horizontal

Slope of the segment that joins the vertex angle to the midpoint of its base is undefined hence the line is vertical

Therefore, angle between base segment line and the segment line from the vertex angle to the midpoint is perpendicular

Therefore, the segment that joins the vertex angle to an isosceles triangle to the midpoint of its base is perpendicular to the base

Step-by-step explanation:

Here we prove the required relation as follows;

Let the isosceles be ABC

The coordinates of the points are

C = (0, 0) (Vertex)

A = (-a, b)

C = (a, b)

P = (0, b) (Midpoint of base)

Therefore, the gradient or slope of the base AC is presented as follows;

$Slope, m \, of \. base, \, AC= \frac{dy}{dx} = \frac{b - b}{a - (-a)} = \frac{0}{2\cdot a} = 0$

Hence, segment AC is vertical

$Slope, m \, of \, segment \ CP \, joining \, vertex, \, to \, midpoint, P, on \,AC = \frac{0 - b}{0 - 0} = \frac{-b}{0} = Undifined.$

Hence, segment CP is vertical

Therefore, the segment that joins the vertex angle to an isosceles triangle to the midpoint of its base is perpendicular to the base.

6 0

3 years ago

What is equation created from the sqrt(x+2)+2))^2

Naddika [18.5K]

Answer:

x + 4√(x + 2) + 6

Step-by-step explanation:

All we need to do is expand by using FOIL (First, Outside, Inside, Last):

x + 2 + 2√(x + 2) + 2√(x + 2) + 4

Then we combine like terms to get our final answer:

x + 2 + 4√(x + 2) + 4

x + 4√(x + 2) + 6

8 0

3 years ago

ASAP ASAP ASAP other question quickly​

ASAP ASAP ASAP other question quickly