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Licemer1 [7]
3 years ago
12

Solve 2x^2+3x=20 by completing the square

Mathematics
2 answers:
anzhelika [568]3 years ago
7 0
X=18/5 is what i got
ss7ja [257]3 years ago
4 0

Answer:

-21x

I think I did the math and this is what I got.

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What is the area of the logo?​
Ludmilka [50]

Answer:

the \: area \: of \: the \: logo \: is \:  {91cm}^{2}

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

a =  {a}^{2}

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

asquare =  {7}^{2}  \\ asquare =  {49cm}^{2}

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

a =  \frac{b.h}{2}  \\  a =  \frac{7.4}{2}  \\ a =  \frac{28}{2}  \\ a =  {14cm}^{2}

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

atriangles = 3a \\ atriangles =  {42cm}^{2}

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo =  {91cm}^{2}

4 0
3 years ago
Read 2 more answers
Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard devi
Svetllana [295]

Answer:

Step-by-step explanation:

Given that Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard deviation of 6 inches.

If X is height then X is N(55,6)

Z score would be \frac{x-55}{6}

a) P(X

b) P(60

c) Tallest 10% z = 1.28

X score = 48+1.28(6) = 55.68  inches

d)P(X

i.e. 16.37% cannot go on this ride.

7 0
3 years ago
Read 2 more answers
To determine whether the inverse of a function is a function you can perform the horizontal line test.
iris [78.8K]

Answer:

\boxed{\text{TRUE}}

Step-by-step explanation:

If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.

For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.

However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.

7 0
3 years ago
Simplify the expression: 3(1 + 8b)
luda_lava [24]

Answer:3+24b

Step-by-step explanation:

3(1+8b)

3+24b

4 0
3 years ago
Undefined terms needed to define a line segment
Alenkinab [10]
Is a point line and <span>plane</span>
7 0
4 years ago
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