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Bad White [126]

2 years ago

5

PLEASE HELP ME WITH THIS PROBLEM:

1 answer:

Andru [333]2 years ago

3 0

Answer:

(4,3)

Step-by-step explanation:

The solution of two lines is where they intersect

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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- <em>First value of h</em>

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ <em> ------ Second value of h</em>

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

3 years ago

Let f(x) = 3x + 2 and g(x) =7x + 6. Find f ·g and its domain.

Kitty [74]

Answer:

The answer is the option D

$21x^{2}+32x+12$ ; All real numbers

Step-by-step explanation:

we have

$f(x) = 3x + 2$

$g(x) =7x + 6$

Calculate f(x)*g(x)

$(3x + 2)*(7x+6)$

Multiply applying the distributive property

$(3x + 2)*(7x+6)=3x*7x+3x*6+2*7x+2*6\\=21x^{2}+18x+14x+12\\=21x^{2}+32x+12$

The domain of the function is the interval------> (-∞,∞)

All real numbers

5 0

3 years ago

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PLZZZ help FAST PLZZZ

Nuetrik [128]

Are you good and why are you saying pls help fast

5 0

2 years ago

Sandy wants to make a punch recipe with 2 parts pineapple juice to 6 parts ginger ale if you wants to increase the recipe using

Blizzard [7]

Answer:

24

Step-by-step explanation:

If you go from 2 parts pineapple to 8, thats a 4x increase. Therefore 6x4=24 (6 from the Ginger)

4 0

3 years ago

Write the statement in if-then form.

Vilka [71]

I believe the answer is A because its the only one that makes the most sense.

4 0

2 years ago

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