Which expression shows the sum 9 + 21 rewritten as a product of the GCF and a sum?

O 9(1 + 21)
O 3(3 + 7)
O 3(3 + 21)
O 9(1 + 3)

Answer:

20

Step-by-step explanation:

[tex]GCD(80,100)\\\\\longrightarrow 80=2^4\cdot5\\\\\longrightarrow 100=2^2\cdot5^2\\\\[/tex]

so for two is

[tex]2^2[/tex]

and for 5 is

[tex]5[/tex]

so we multiply both

[tex]\longrightarrow 2^2\cdot5 \\\\=4*5\\\\=20[/tex]

we can use the euclidean algoritm as follows

[tex]100=80(1)+20\\\\80=20(4)\:\:\:\:\:\:\:\:\uparrow gcd[/tex]

Answer:

y=2x

Step-by-step explanation:

Answer:

20,330‬

Step-by-step explanation:

214 times 95 is 20,330‬.

9514 1404 393

Answer:

  c.  x = 1

Step-by-step explanation:

c. The Pythagorean theorem applies. The square of the hypotenuse is the sum of the squares of the other two sides.

  2² = x² +(√3)²

  4 = x² +3

  1 = x² . . . . . . subtract 3

  1 = x . . . . . . . take the square root

Answer:

See Explanation

Step-by-step explanation:

[tex] In \: \odot M, \: \overline{MA} \: bisects \: \overline {BC}\\... (given) \\\\

\therefore \overline{MN} \: bisects \: \overline {BC}\\... (\because B-N-C) \\\\

\therefore BN \cong NC... (1)\\\\

In\: \triangle BMN \:\&\:\triangle CMN\\\\

BM\cong CM\\ (radii \: of \: same \: circle) \\\\

MN\cong MN\\ (common \:side) \\\\

BN \cong NC\\ (from\:1)\\\\

\triangle BMN \:\cong\:\triangle CMN\\.. (by\: SSS\: postulate) \\\\

\therefore \angle B\cong \angle C.. (CACT) [/tex]

Answer:

[tex]y=-\frac{1}{2} x+2[/tex]

Step-by-step explanation:

The given equation is written in slope-intercept form:

[tex]y=mx+b[/tex]

where:

The slope is 2:

When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:

[tex]m_{1}=2[/tex]

This can be seen as:

[tex]m_{1}=\frac{2}{1}[/tex]

Flip the fraction (reciprocal):

[tex]\frac{2}{1}[/tex] → [tex]\frac{1}{2}[/tex]

Now find the opposite:

[tex]\frac{1}{2}[/tex] → [tex]-\frac{1}{2}[/tex]

So the slope of the perpendicular line is:

[tex]m_{2}=-\frac{1}{2}[/tex]

Now make an equation written in point-slope form:

[tex]y-y_{1}=m(x-x_{1})[/tex]

where:

Insert information:

[tex]y-3=-\frac{1}{2} (x-(-2))\\\\y-3=-\frac{1}{2} (x+2)[/tex]

Simplify to slope-intercept form. Solve for y:

Use the distributive property:

[tex]y-3=-\frac{1}{2}(x)-\frac{1}{2} (2)\\\\ y-3=-\frac{1}{2} x-1[/tex]

Add 3 to both sides to isolate the variable:

[tex]y-3+3=-\frac{1}{2} x-1+3\\\\y=-\frac{1}{2} x+2[/tex]

:Done

Answer:

The distance between the top two buttons on his shirt is 3.8 inches.

Step-by-step explanation:

Maurice's shirt has 5 buttons. Distance between first and last button is 15.25.

If we see, they would be arranged like

*

*

*

*

*

They are equally spaced between each button.

So, there are 4 equal spaces between the buttons.

Distance between each two consecutive buttons =[tex]\frac{15.25}{4}[/tex] =3.8125

So, distance between the top two buttons on his shirt is 3.8 inches.

Answer:

3.54

Step-by-step explanation:

Answer:

ohms

Step-by-step explanation:

Resistance is measured in units called ohms (symbol: Ω).

Resistance is a property of an electrical component that resists the flow of electric current through it.

We have,

Resistance is measured in ohms, which is the unit of electrical resistance. One ohm is the resistance value through which a current of one ampere will flow when a potential difference of one volt is applied across it.

Resistance is an important concept in electrical engineering and physics, as it is a fundamental property of electrical circuits and components.

Thus,

Resistance is measured in units called ohms (symbol: Ω).

Learn more about resistance here:

https://brainly.com/question/22388715

#SPJ5

Answer:

Rules for Calculating the Slope of Line

Find two points on the line. Count the rise (How many units do you count up or down to get from one point to the next?) Record this number as your numerator. Count the run (How many units do you count left or right to get to the point?)

Step-by-step explanation:

Answer:

400k four hundred thousand centimeters is 4 kilometers

Answer:

$10.40

Step-by-step explanation:

Multiply $130 with 0.08 to get the sales tax. 0.08 is the same as 8%, just in decimal form.

$130 * 0.08 = $10.40

Answer:

x+10-y

Step-by-step explanation:

i'm not 100% sure about this response, but i'd assume the answer is like this for the following reasons:

alex is x years old, and 10 years have passed, meaning 10 years are added onto his age (x+10). addison is still the same amount of years apart from him in age, so you subtract y from that (x+10-y).

Answer:

area is 210 mi

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

21 x 7 = 147

14 - 7 = 7

7 x 9 = 63

147 + 63 = 210

x= -3/2

Step-by-step explanation:

y=2x+3 for the slope

move the variable to the left

divide both sides

solution solve

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

9-22+20

9-2

7

Answer: greater than

Step-by-step explanation:

A positive is greater than a negative

Step-by-step explanation:

it would have a slope of 3 and it would cross the y axis on -1

Answer:

4.9878851e+45

Step-by-step explanation:

Answer:

736.05

Step-by-step explanation:699.00 x 5.3%=37.047

699.00 + 37.05 = 736.05

Answer:

$37.05

Step-by-step explanation:

$699 × 5.3%

We must convert 5.3% into just a decimal (not a percentage)

To do so, move the decimal to the left two places.

This would be 0.053

699 × 0.053 = 37.047

Although the exact number is 37.047, money is only paid within two decimals places, so let's round up to the nearest hundredth place

37.047 rounds up to 37.05

$37.05 is how much tax will be paid on the TV

Answer:

x=-28

Step-by-step explanation:

-x+4=32

-x=32-4

-x=28

x= -28

Answer: I’m not going to tell u the answer hrhrhehehehehehrhehsnheaj

Step-by-step explanation:

-34 answer

Answer:

people are saying its wrong but heres from another source lol

Step-by-step explanation:

source - GetEasySolution.com

Slope: -2/3

Y intercept: 5

Equation: y = -(2/3)x + 5

Hope this helped :)

Answer:

x is greater than or equal to −6 and x less than or equal to 5 (second option).

Step-by-step explanation:

This would be written as an "and" inequality; -6[tex]\leq[/tex]x[tex]\leq[/tex]5. Because the circle is closed on the number line, x is greater than or equal to −6 and x less than or equal to 5, and that's pretty much the answer!

Hope this helps!!!! Have an awesome day :3

Answer:

-103

Step-by-step explanation:

Answer:  -103

Step-by-step explanation:

y=7 so 7x(-7)= -49 because a negative times a positive always equals a negative. Same thing for 9x. x=(-6) so 9x(-6)=-54.  So (-49)+(-54)= -103

Answer:

see explanation

Step-by-step explanation:

Calculate RS using the distance formula

d = [tex]\sqrt{(x_{2 -x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = R(0, a) and (x₂, y₂ ) = S(b, c) , thus

RS = [tex]\sqrt{(b-0)^2+(c-a)^2}[/tex]

     = [tex]\sqrt{b^2+(c-a)^2}[/tex]

Following are the calculation to the distance of rs:

Given:

Please find the question.

To find:

distance in rs=?

Solution:

Using the formula of distance:

[tex]\to d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

points:

[tex]\to R=(0,a)\\\\\to S=(b,c)[/tex]

[tex]\to (X_1, y_1) = R(0, a) \\\\ \to (x_2, y_2 ) = S(b, c)[/tex]

Calculate RS distance by using the above formula:

[tex]\to RS=\sqrt{(b-0)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{\sqrt{b^2+(c-a)^2}}[/tex]"

Learn more about the distance:

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Answer:

Step-by-step explanation:

$350 -$275= $75 profit

Answer:

10, 8, 6, 4, 2

Step-by-step explanation: