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emmasim [6.3K]
2 years ago
7

1) 5x + 3 = 23 Is the value of x 4

Mathematics
1 answer:
Nataly [62]2 years ago
3 0

Answer:

X = 4

Step-by-step explanation:

5x + 3 = 23

Subtract 3 from both sides: 5x = 20

Divide both sides by 5: x = 4

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Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 70 feet of fencing to
viktelen [127]

The dimension that would give the maximum area is 20.8569

<h3>How to solve for the maximum area</h3>

Let the shorter side be = x

Perimeter of the semi-circle is πx

Twice the Length of the longer side

[70-(\pi )x -x]

Length = [70-(1+\pi )x]/2

Total area =

area of rectangle + area of the semi-circle.

Total area =

x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2

When we square it we would have

70x +[(\pi /4)-(1+\pi)]x^2

This gives

70x - [3.3562]x^2

From here we divide by 2

35x - 1.6781x^2

The maximum side would be at

x = 35/2*1.6781

This gives us 20.8569

Read more on areas and dimensions here:

brainly.com/question/19819849

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1 year ago
A Estimate √690 to the nearest whole number.
Fantom [35]
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6 0
2 years ago
Find the slope of the line whose equation is 2x - 3y + 6 = 0.
Alona [7]
Hi

y = mx+b

2x - 3y + 6 = 0
3y = 2x+6
y = 2x/3+6/3
y = 2x/3+2

m = 2/3


7 0
3 years ago
Read 2 more answers
Need Help! Geometry Circles!
Georgia [21]
6. The lengths of two tangent lines to a circle are equal, which can be proved using similar triangles. The perimeter is 2*(3+2+5)=10.
14. c=40 degrees, since c and the given 40 angle correspond to the same arc on the circle. b=40, since b and the given angle are alternate interior angles of two parallel lines. d=180-40-40=100 degrees. a=180-d=180-100=80 degrees.
18. a is two times the given angle according to the inscribed angle theorem. a=2*20=40. b=180-a=140. c=90 since the tangent line is perpendicular to the diameter of the circle.
19. b=85, a=95. Connect the two points on the circle near 45 degrees on the diagram. b is the sum of the two angles formed (b is the exterior angle of the small triangle), and the sum is half the central angles they correspond to, which is 360-145-45=170. So b=170/2=85, and a=180-85=95 degrees.
20. Use power of a triangle. 5*(10+5)=6(6+x), x=6.5.


7 0
3 years ago
How do you find the x-intercepts if given the following polynomial in factored form?
elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

You know the intercepts occur at x = 0, so set each part of the factored form equal to zero and solve for x.

The first part, plain X = 0, so X = 0 is a root, an x-intercept

The second part (X-2)^2 = 0, so X = 2 is another root. Since the function is being squared, this root will happen twice. The function crosses this root twice.

The third part (x+4) = 0, so x = -4 is another root.

Finally, (x+1) so x = -1 is another root.

So you have X = 0, X = 2, X = -4, X = -1 as your x-intercepts

3 0
2 years ago
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