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3 years ago

Convert 8 to Base 2

Mathematics

2 answers:

viva [34]3 years ago

7 0

first divide 8 by 2 y0u will get 0 remainder

8/2=4 0 remainder

4/2 =2 0 remainder

2/2=1 0 remainder

1/2= 0 1 remainder

8= 1000 base 2

Lady bird [3.3K]3 years ago

5 0

2 would be the base and 3 will be the square

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Which first step for solving the given system using substitution results in an equation without fractions?

Alexeev081 [22]

Answer:

The step to take to avoid fraction is to solve for y in equation 2

Step-by-step explanation:

Given

-9x+ 4y =- 10

-9x+ 3y = 3

Required:

Step for solving using substitution (avoiding fraction)

Let -9x+ 4y =- 10 represent equation 1

and -9x+ 3y = 3 represent equation 2

The following points are to be noted

Solving for x or y in equation 1 will definitely lead to having fractions

Solving for x in equation 2 will also lead to having fractions

Having said that, the step to take to avoid fraction is to solve for y in equation 2

Check

$-9x+ 3y = 3$

Add 9x to both sides

$9x-9x+ 3y = 3 + 9x$

$3y = 3 + 9x$

Divide through by 3

$\frac{3y}{3} = \frac{3 + 9x}{3}$

$y = \frac{3 + 9x}{3}$

Split fraction

$y = \frac{3}{3} + \frac{9x}{3}$

$y = 1 + 3x$

At the point, the expression of y can then be substituted in equation 1

3 0

3 years ago

Which choice shows +=7

V125BC [204]

Answer:

y=-x +7 is the slope-intercept form and the graph is shown in the attachment.

Step-by-step explanation:

The given equation is

$x + y = 7$

We solve for y to get:

$y = - x + 7$

This is now of the form, y=mx+c

This is called the slope-intercept form.

Since the slope is negative, the graph slopes backwards. Also the y-intercept is 7, so the graph will intersect the y-axis at 7

7 0

3 years ago

S(n) is a function that squares numbers. Find S(13) when s(n) = n2.

kobusy [5.1K]

Answer:

169

Step-by-step explanation:

if S(n)=n^2

so,S(13)=13^2

n=13

n^2=13^2

=169

6 0

3 years ago

6. Calculate the area of the octagon in the figure below.

Kryger [21]

Answer:

$41\text{ [units squared]}$

Step-by-step explanation:

The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.

The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:

4 triangles (corners)
3 rectangles (one in the middle, two on top after you remove triangles)

Formulas:

Area of rectangle with length $l$ and width $w$ : $A=lw$
Area of triangle with base $b$ and height $h$ : $A=\frac{1}{2}bh$

Area of triangles:

All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.

Thus, the total area of one is $A=\frac{1}{2}\cdot 2\cdot 2=2\text{ square units}$

The area of all four is then $2\cdot 4=8$ units squared.

Area of rectangles:

The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of $3\cdot 2=6$ units squared, and the both of them have a total area of $6\cdot 2=12$ units squared.

The last rectangle has a width of 7 and a height of 3 for a total area of $7\cdot 3=21$ units squared.

Therefore, the area of the entire octagon is $8+12+21=\boxed{41\text{ [units squared]}}$

4 0

3 years ago

ASAP 55 points Which expression is equivalent to ((x^(-4)y)/(x^(-9)y^(5)))^(-2) assume x = 0 ,y = 0

german

Answer:

I thought if you try to do an exponent on a zero, then the answer would always be undefined...

Step-by-step explanation:

6 0

3 years ago

Convert 8 to Base 2​

Convert 8 to Base 2