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3 years ago

Slope is -2 and (5,3) is on the line Write the equation as well and how you solved it

Mathematics

1 answer:

expeople1 [14]3 years ago

8 0

Answer:

y= -2x-7

Step-by-step explanation:

point-slope: y-y1=m(x-x1)

y-3=-2(x-5)

y-3=-2x-10

y=-2x-7

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Write 0.0000002711 in scientific notation. (Use 2 numbers after the decimal point.)

Lesechka [4]

Answer:

$Number = 2.71 * 10^{-7}$

Step-by-step explanation:

Given

$Number = 0.0000002711$

Required

Write, using scientific notation

The scientific notation is written in the form:

$Form = a * 10^n$ Where n is an integer and $1 \leq a \leq 10$

To start with; Represent the given number as fraction

$Number = \frac{2711}{10000000000}$

Represent the denominator as an exponent

$Number = \frac{2711}{10^{10}}$

This can be rewritten in form of:

$Number = 2711 * 10^{-10}$

Remember that: $Form = a * 10^n$ Where n is an integer and $1 \leq a \leq 10$

This implies that; we need to adjust 2711 to a number between 1 and 10;

This gives:

$Number = 2.711 * 1000 * 10^{-10}$

Write 1000 as an exponent

$Number = 2.711 * 10^3 * 10^{-10}$

Apply law of indices

$Number = 2.711 * 10^{3-10}$

$Number = 2.711 * 10^{-7}$

The question requires 2 numbers after the decimal point;

So, 2.711 will be approximated to 2.71

$Number = 2.71 * 10^{-7}$

Hence;

$0.0000002711$ is equivalent to $2.71 * 10^{-7}$

3 0

3 years ago

Identify the translation rule on a coordinate plane that verifies that triangle A(-5,1), B(-2,7), C(0,1) and triangle A'(-3,2),

Marina86 [1]

we know that

Translations of geometric figures in the coordinate plane can be determined by translating the x- and y-coordinates of points. The translation is an isometric transformation (not changes the size of the figure)

vertex $A(-5,1)$ --------> $A'(-3,2)$

Find the rule in the x-coordinate

$-5+x=-3\\ x=-3+5\\ x=2$

x--------> x+2

Find the rule in the y-coordinate

$1+y=2\\ y=2-1\\ y=1$

y--------> y+1

The translation rule is

$(x,y)------> (x+2,y+1)$

Verify vertex B

$B(-2,7)$ -------> $(x+2,y+1)$ ------> $(-2+2,7+1)$ --------> $B'(0,8)$ ------> is ok

Verify vertex C

$C(0,1)$ -------> $(x+2,y+1)$ ------> $(0+2,1+1)$ --------> $C'(2,2)$ ------> is ok

The three vertices have the same rule, therefore the triangles are congruent

the answer is

The translation rule is

$(x,y)------> (x+2,y+1)$

7 0

3 years ago

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What is the product of 8 and 54?

Jobisdone [24]

The answer to you're problem is 62

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Please help

zheka24 [161]

The answer is C

O,p,m,q,n

3 0

2 years ago

What number comes next 57, 49, 41, 33, 25_

enot [183]

Answer:

18 I guess

Step-by-step explanation:

because we are subtracting all the number by 8

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3 years ago

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