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avanturin [10]
3 years ago
10

Let me know if you know the answer to this thank you​

Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0

We know

\boxed{\sf \dfrac{a^m}{a^n}=a^{m-n}}

\\ \sf\longmapsto \dfrac{1\times 10^{-5}}{2\times 10^{-1}}

\\ \sf\longmapsto 0.5\times 10^{-5-1}

\\ \sf\longmapsto 0.5\times 10^{-6}

\\ \sf\longmapsto 5\times 10^{-7}

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8 0
3 years ago
Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.
marin [14]

Answer:

C. hyperbola; 9x^2-25y^2-250y-850=0

Step-by-step explanation:

The given conic has equation:

9x^2-25y^2=225

Divide through by 225.

\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}

\frac{x^2}{25}-\frac{y^2}{9}=1

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1

Multiply through by 225.

9(x-0)^2-25(y-5)^2=225

Expand

9x^2-25(y^2-10y+25)=225

9x^2-25y^2+250y-625=225

Rewrite in general form;

9x^2-25y^2+250y-625-225=0

9x^2-25y^2+250y-850=0

3 0
3 years ago
A rectangular mat has an area of 7/12 in2. The length of the mat is 5/6 in. What is the width of the mat
Pie

Step-by-step explanation:

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8 0
3 years ago
Find the missing side lengths?
scZoUnD [109]

answer of this question

7 0
3 years ago
Find the lateral surface area of the figure. A 798 B 210 C 816.8 D 69.7
gizmo_the_mogwai [7]

the lateral surface area of the figure is 660 sq ft

(but the answer is not matching with the options)

Step-by-step explanation: this figure is called cylinder. the lateral surface area means the area of curved surface.

here the diameter is 10 ft

so radius = diameter/2 = 10/2 ft = 5ft

again, height = 21ft

now the lateral surface area = perimeter of the circular surface X height

= 2X pie X r X h ( here r is the radius and h is height and we will take pie as 22/7)

= 2 X (22/7) X 10 X 21 sq ft

= 2 X 22 X 5 X 3 sq ft

=660 sq ft

( suggest you to recheck the options)

8 0
3 years ago
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