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2 years ago

Someone please help me ✨

Mathematics

1 answer:

DedPeter [7]2 years ago

6 0

Okay, so keeping mind that the equation for area is A = L x W, look at the measurements you already have. 5.5 x 10^5 is the length, and 4.2 x 10^4 is the width. Switch them into full form and use a calculator to multiply the two for the area in meters.

550000 x 42000 = 23100000000, which in scientific form is 2.31 × 10^10. So that's answer one.

For the second, in kilometers, just take the full measurement you already have, 23100000000 m, transfer it into kilometers, 23100000 km, and then find its scientific notation, 2.31 × 10^7. That's answer two.

To answer the last question for which is more suitable, just consider what number you'd prefer to look at: a bigger number or a smaller one. Since the kilometer measurement number is smaller, its correct.

Summarily, the answers are 2.31 × 10^10, 2.31 × 10^7, and square kilometers, in that order.

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Rectangle HYGT has a perimeter of 170 inches. If the length is 10x - 7

frozen [14]

Answer:

The wide of the rectangle = 42 inches

The length of the rectangle = 43 inches

Step-by-step explanation:

Step(i):-

Given that the length of the rectangle = 10x-7

Given that the width of the rectangle = 6x +12

The perimeter of the rectangle = 2(length + width)

Given that the perimeter of the rectangle = 170

Step(ii):-

2(length + width) = 170

length + width = 85

10x-7 +6x +12 =85

16x +5 = 85

16x = 85-5 = 80

x = $\frac{80}{16}$

x = 5

Final answer:-

The length of the rectangle = 10(5)-7 = 50-7 = 43

The wide of the rectangle = 6x +12 = 6(5) + 12 = 30+12 =42

5 0

2 years ago

What is the vertex of the parabola given by the equation y x^2+ 4?

max2010maxim [7]

Format of Quadratic Equation: y = ax2 + bx + c

Given Quadratic Equation: y = 2x2 - 3x + 3

Coefficient Variable Values: a = 2 and b = -3 and c = 3

Axis of Symmetry: x = -b/2a = -(-3)/2(2) so answer is x = 3/4

Vertex: x value is axis of symmetry (3/4) and y value is calculated substituting 3/4 for x in original equation: y = 2(3/4)2 - 3(3/4) + 3 = 2(9/16) - 9/4 + 3 = 9/8 - 9/4 + 3 = 9/8 - 18/8 + 24/8 = 15/8,
so answer is (3/4,15/8)

x intercepts (solve using quadratic formula): x = (-b plus or minus sqrt(b2 - 4ac)/2a, so plugging in coefficient values for a and b and c, we get x = [-(-3) plus or minus sqrt((-3)2 - 4(2)(-3)]/2(2), which results in x = (3 + sqrt(33))/4 or (3 - sqrt(33))/4 and answers to nearest tenth are x = (3 + 5.7) / 4 = 2.2
or x = (3 - 5.7) / 4 = -0.7

y intercept is calculated by substituting zero for x into original equation: y = 2x2 - 3x + 3, so y-intercept is 3.

Domain is range is from calculated negative x intercept (-0.7) to calculated positive x intercept (2.2) and is written as (-0.7,2.2)

Range is from calculated y-intercept to positive infinity, since parabola opens up due to positive x2 coefficient value, so range is written as (3,positive infinity). Note: infinity symbol is sideways 8.

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