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3 years ago

Help me on this please

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

8 0

Answer:

The answer is 22 - 8√5 ⇒ (d)

Step-by-step explanation:

* Lets revise the foil method which used in multiplication

of two binomial

- If (a+ b)(c + d), then we do that

# a × c = ac and b × d = bd

# b × c = bc and a × d = ad

∴ (a+ b)(c + d) = ac + ad + bc + bd

- We called bc means and ad extremes, in most problems they

are like terms and we add them

* Now lets solve the problem

∵ (2√5 - 4)(3√5 + 2)

# 2√5 × 3√5 = (2 × 3) × (√5 × √5) = 6 × 5 = 30

# -4 × 2 = -8

* 30 and -8 are like terms we add them

# 30 + -8 = 22

# Extremes ⇒ 2√5 × 2 = (2 × 2) × √5 = 4√5

# Means ⇒ -4 × 3√5 = (-4 × 3) × √5 = -12√5

* 4√5 and -12√5 are like terms we will add them

# 4√5 + -12√5 = -8√5

∴ (2√5 - 4)(3√5 + 2) = 22 + -8√5 = 22 - 8√5

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A right triangle has an area of 18 The length of each leg is 6 inches. If the triangle is not an isosceles triangle, what are al

ladessa [460]

Given:

Area of a right triangle = 18 sq. inches

Length of one leg = 6 inches

To find:

The length of another leg.

Solution:

We know that, the area of a triangle is

$A=\dfrac{1}{2}\times base\times height$

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3 years ago

Mr Thompson please help with my new HW

sesenic [268]

Answers:

C) x = plus/minus 11
B) No real solutions
C) Two solutions
A) One solution
The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.

========================================================

Explanations:

Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.

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3 years ago