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2 years ago

4x²+4x-24 step by step

Mathematics

2 answers:

OLEGan [10]2 years ago

6 0

Answer:

factored form = 4(x−2)(x+3)

Step-by-step explanation:

4 is a factor of the entire equation so factor it out and it will leave U with the answer

kaheart [24]2 years ago

4 0

Answer:

4(x-2)(x+3)

Factor a GCF from the expression, if possible.
Factor a Trinomial, if possible.
Factor a Difference Between Two Squares as many times as possible.

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Equiangular Triangles can only have acute angles. True or false?

Vinil7 [7]

Answer: The answer is true :)

4 0

3 years ago

7. In some places, a suspension bridge is the only passage over a river. The height of one such bridge, h, in metres, above the

Cloud [144]

Sure. The function is a parabola. Because the coefficient of the x^2 term is positive, it opens upward. that means that it vertex is a minimum point.

You can verify that the vertex is (0,24). That means that at the point x=0, the height of the bridge is 24m. So if the level water rises below 24 m, the bridge is safe to use.

4 0

3 years ago

B. Pablo's goal is to have $5,000 after 4 years. Is this possible if he

Keith_Richards [23]

Complete question is;

If Pablo invests $4200 for 3 years and earns $630

A) what is the simple interest rate?

B) Pablo’s goal is to have $5000 after 4 years. Is it possible with a rate of 6%? Explain.

Answer:

A) Rate = 5%

B) Yes, it is possible for him to earn $5000 after 4 years with an interest rate of 6%

Step-by-step explanation:

A) Formula for interest is;

i = PRT

We are given;

i = 630

P = 4200

T = 3

Making R the subject;

R = i/PT

R = 630/(4200 × 3)

R = 0.05

This is 5%

B) Formula for value of principal after interest period is;

A = P(1 + RT)

P = 4200

R = 6% = 0.06

T = 4 years

Thus;

A = 4200(1 + (0.06 × 4))

A = $5208

Thus, it is possible for him to earn $5000 after 4 years with an interest rate of 6%

3 0

2 years ago

A hexagon with an apothem of 14.7 inches is shown. a regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inch

never [62]

The area of the considered regular hexagon which has got 14.7 inches of apothem and a perimeter of 101.8 inches is 748.2 sq. inches.

<h3>What is apothem?</h3>

Apothem for a regular polygon is a line segment which originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon. It is perpendicular to the regular polygon's side it touches.

Regular polygons have all side same and that apothem bisects the side in two parts, (provable by symmetry).

Consider the diagram attached below.

The area of the regular hexagon considered = 6 times (area of triangle ABC) (because of symmetry).

Also, we have:

Area of triangle ABC = 2 times (Area of triangle ABD).

Thus, we get:
Area of the considered hexagon = 6×2×(Area of triangle ABD)

Area of the considered hexagon = 12×(Area of triangle ABD)

Perimeter of a closed figure = sum of its sides' lengths.

There are 6 equal sides in a regular hexagon (due to it being regular).

Thus, if each side is of 'a' inch length, then:

Perimeter = 6×a inches

$101.8 = 6a\\\\\text{Dividing both the sides by 6, to get 'a' on one side}\\\\a = \dfrac{101.8}{6} \approx 16.967 \: \rm inches$

This is bisected by the apothem.

Thus, we get:
Length of the line segment BD = |BD| = a/2 ≈ 8.483 inches

Since it is given that the length of the apothem = |AD| = 14.7 inches, therefore, we get:

$\text{Area of ABD} = \dfrac{1}{2} \times \rm base \times height \approx \dfrac{14.7 \times 8.483}{2} \approx 62.35 \: \rm in^2$

Thus, we get:

Area of the considered hexagon = 12×(Area of triangle ABD)

Area of the considered hexagon $\approx 12 \times 62.35 = 748.2 \: \rm in^2$

Thus, the area of the considered regular hexagon which has got 14.7 inches of apothem and a perimeter of 101.8 inches is 748.2 sq. inches.

Learn more about apothem here:

brainly.com/question/12090932

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5 0

2 years ago

a rectangle is 5cm longer than its breadth, its perimeter is 26 find the length and breadth of the rectangle

xxTIMURxx [149]

If the perimeter is 26 and the length of one side of the rectangle is 5cm longer than its breadth,

26 - 5 - 5 = 16
16 / 4 = 4 ( rectangle has 4 sides. )

the breadth is 4cm.
so the length must be 4+5=9cm.

5 0

3 years ago