Polynomial equation. How do I do distributive property?

Based on the calculations, the depth of tent is equal to 12 feet.

How to calculate the depth of the tent?

Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):

• Triangle ABC is an isosceles triangle (AB = AC).

• The front and back of the triangle are identical triangles.

• Side AD is perpendicular side BC.

• CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.

Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:

AC² = AD² + DC²

AD² = AC² - DC²

AD² = 5² - 3²

AD² = 25 - 9

AD² = 16

AD = √16

AD = 4 feet.

Also, we would determine the area of the triangle (ABC):

Area = 1/2 × b × h

Where:

• b is the base area.

• h is the height.

Substituting the given parameters into the formula, we have;

Area = 1/2 × 6 × 4

Area = 12 feet².

Depth of tent = 3 × height of ADC

Depth of tent = 3 × 4

Depth of tent = 12 feet.

Read more on area of triangle here: brainly.com/question/21917592

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Answer:

y = (x - 7)² - 9

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k ) are the coordinates of the vertex and a is a multiplier

given

y = x² - 14x + 40

to obtain vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 14x

y = x² + 2(- 7)x + 49 - 49 + 40

 = (x - 7)² - 49 + 40

 = (x - 7)² - 9 ← in vertex form

Answer:

3.5

Step-by-step explanation:

4x < 14

• To solve this inequality, we need to isolate x.
• Since there are no complicated steps to it, we simply need to divide 14 by 4:

14 ÷ 4 = 3.5

So x = 3.5