2.1
Construct an independent Equilateral triangle as follows:
10 cm side with vertices ABC.

Given : The whole number is 5.

Explanation

We use the whole number 5.

The additive inverse of 'a' is -a

a+(-a)=0

For the whole number 5, the additive inverse of 5 is -5

Multiplicative inverse of 'a' is [tex]\frac{1}{a}[/tex]

because [tex]a \cdot \frac{1}{a}=1[/tex]

So the multiplicative inverse of 5 is [tex]\frac{1}{5}[/tex]

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Answer:

x>0

Answer to your question:

Because the subtraction sign is after the negative, it applies to the term in front of it, in this case because there is a parenthesis, it would multiply into that and your equation from there would be 1-4-3x<-3. Then combine like terms from there.

Answer:

9 ufh fcnbscbhbvxdfhbbhukkkocd

Answer:

Five greater than a number,the result is multiplied by 18

The verbal expression for 18(p + 5) is eighteen times the quantity obtained by adding five to a number p.

The verbal expression for the algebraic expression 18(p + 5) can be described as "Eighteen times the quantity obtained by adding five to a value represented by 'p'." This expression represents a mathematical operation where a given value 'p' is increased by five, and then the result is multiplied by eighteen. This type of expression is commonly encountered in various real-world situations where a value needs to be adjusted and then scaled up by a certain factor. In this case, the result reflects the outcome of multiplying the adjusted value by eighteen.

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Step-by-step explanation:

(-5+4+x)÷3=7

-5+4+x=21

x=21-4+5

x=22

l don't

know about this thing

Step-by-step explanation:

Hi there!

Given; y= 7

5y + 3x + 2y - 8x = -1

Simply keep the value of y in the equation and simplify it;

5*7 + 3x -8x +2*7 = -1

35 - 5x +14 = -1

-5x = -1-49

X= -50/-5

Therefore, X= 10.

Hope it helps!

Hey there!

[tex]\textsf{5y + 3x + 2y - 8x = -1}[/tex]

➬ [tex]\textsf{7y - 5x = -1}[/tex]

➬ [tex]\textsf{7(7) - 5x = -1}[/tex]

➬ [tex]\textsf{49 - 5x = -1}[/tex]

➬ [tex]\textsf{ -5x + 49 = -1}[/tex]

[tex]\huge\boxed{{\bf SUBTRACT \ 49 \ to \ BOTH \ SIDES}}[/tex]

[tex]\textsf{-5x + 49 - 49 = -1 - 49}[/tex]

⇢ [tex]\textsf{CANCEL out: 49 - 49 because it gives you 0}[/tex]

⇢ [tex]\textsf{KEEP: -1 - 49 because it helps solve for your x-value}[/tex]

↱[tex]\textsf{-1 - 49 = -50}[/tex]↰

[tex]\huge\textsf{New EQUATION: \boxed{ \bf -5x = -50}}[/tex]

[tex]\huge\boxed{\textsf{\bf DIVIDE -5 to BOTH SIDES}}[/tex]

[tex]\mathsf{\dfrac{-5x}{-5}=\dfrac{-50}{-5}}[/tex]

⤳ [tex]\textsf{CANCEL out: } \mathsf{\dfrac{-5}{-5}} \textsf{ because it gives you 1}[/tex]

⤳ [tex]\textsf{KEEP: } \mathsf{\dfrac{-50}{-5}} \textsf{ because it helps you get the x-value}[/tex]

[tex]\huge\textsf{New EQUATION: \boxed{\bf x = \dfrac{-50}{-5}}}[/tex]

[tex]\mathsf{x = \dfrac{-50}{-5}}[/tex]

[tex]\mathsf{\dfrac{-50}{-5} = x }[/tex]

[tex]\huge\boxed{\bf SIMPLIFY \ ABOVE\ \& \ YOU\ HAVE}\\\huge\boxed{\bf YOUR\ RESULT \ OF\ THE \ X-VALUE}[/tex]

[tex]\mathsf{\dfrac{-50}{-10} = \bf 10}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your answer is: x = 10}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-3 - 16b

Step-by-step explanation:

by simply doing the multiplication and then add combinable terms.

9 - 4(3 + 4b) = 9 - 12 - 16b = -3 - 16b

Explanation:

Let's simplify step-by-step:

9-4(3 + 4b)

Distribute:

= 9 + (-4)(3) + (-4)(4b)

= 9 + (-12) + (-16b)

Combine Like Terms:

= 9 + (-12) + (-16b)

= (-16b) +(9 + (–12) )

= -16b + (-3)

Answer:

-16b + (-3)

Answer: it should be  3.125%

Step-by-step explanation:

3.125% is the answer

Answer:

The first of the 3 numbers is 11.

Step-by-step explanation:

Well all three would be 11,12,13 because 11+12+13=36. First number is 11

Answer:

1/2

Step-by-step explanation:

here ,

sin = p/h

or, sin (30⁰) = 5 /10

so sin (30⁰) = 1/2

The value of  sin(30°) given triangle QRS is; 1/2

In trigonometric ratios, we know that;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the given triangle, we see that;

Opposite side to the angle 30° is 5 while hypotenuse is 10.

Thus;

sin 30° = 5/10

sin 30° = 1/2

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Answer:

Article 2 is less than Rs.26700.15617

Answer:

4k-7 + 3k+ 6 = 90

7k -1 = 90

7k = 91

k=13

Step-by-step explanation:

Notice that if we add the 3 angles in the image, the outcome should be an angle of 180° (the one of the line alone)

With this, we will found that the answer is k = 13

Let's do the math, for the initial information we can write:

(4k - 7)° + 90° + (3k + 6°) = 180°

Where the 90° comes from the right angle, the one written with a little square.

Now we can solve this for k

(4k - 7)° + 90° + (3k + 6°) = 180°

(4k + 3k)° +  (-7° + 90° + 6°) = 180°

7°k + 89° = 180°

7°k = 180° - 89° = 91°

k = 91°/7° = 13

So we found that the value of k is 13.

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Answer:

5,400

Step-by-step explanation:

do the exponent which is 10x10=100 then add it to 5,300

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{3k = 126}}[/tex]

[tex]\huge\boxed{\textsf{\bf DIVIDE 3 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{3k}{3}= \dfrac{126}{3}}}}[/tex]

[tex]\huge\boxed{\mathsf{\bf CANCEL\ out: \dfrac{3}{3}\ because\ it\ gives \ you\ 1}}}[/tex][tex]\huge\boxed{\bf KEEP: \dfrac{}{}\ because\ it\ answers\ for\ the\ }\\\huge\boxed{\bf k-value}[/tex]

[tex]\huge\boxed{\mathsf{k = \dfrac{126}{3}}}\\\huge\boxed{\mathsf{\dfrac{126}{3} = k}}[/tex]

[tex]\huge\boxed{\textsf{\bf SIMPLIFY ABOVE}}[/tex]

[tex]\huge\boxed{\mathsf{Therefore, your \ answer \ is: k = 42}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

quadrilateral has 4 sides

so 104°+40°+110°+x=360°

254°+x=360°

collect like terms

x=360-254

x= 106

;- x=106

which is (c)

Answer:

x = 106°

Step-by-step explanation:

Using the angle marked 110° as my starting point,

One can use angles on a straight line sum up to 180° to find the angle that adds up to 110° which makes it 180,

thus 70°.

moving on,

tackling with the angle marked 40°, Using the fact that angles on a straight line sum up to 180°, the angle obtained will be 140° (40° + a = 180, a = 180° -40°, a = 140°)

Using the angle marked 104°, Just like the previous one Using the principle that angles on a straight line sums up to 180°, then the unknown angle will be 76°.

Finding all the other interior angles angles in the quadrilateral except the angle in line with the x,

the next step to take is to add up all the angles Using any variable and equate it to 360°

why? angles in this type of quadrilateral equals 360,

That is,

140° + 76° + 70° + y = 360

286 + y= 360

y = 360 - 286

y = 74

The final step now is to use the principle, ( angles on a straight line sums up to 180)

74° + x = 180

x = 180 - 74

x = 106°

Answer:

4(2x + 6)

Step-by-step explanation:

2 times x is 2x

The sum of 2 times x and 6 is 2x + 6

And we do 4 times that, making sure to put 2x + 6 in parentheses; we're multiplying 4 times the entire sum.

4(2x + 6)

Answer:

[tex]y=-\frac{1}{2}x-8[/tex]

Step-by-step explanation:

[tex](-4,-6)(-2,-7)[/tex]

Step 1. Find the slope (by using the slope-formula)

m = slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-7--6}{-2--4}[/tex]

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

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

Step 2. Create the equation of a line that has a slope of [tex]-\frac{1}{2}[/tex]

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

Step 3. Find the y-intercept

To do this, use any of the two points and substitute their x and y values

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

point: [tex](-2,-7)[/tex]

[tex](-7)=-\frac{1}{2}(-2)+b[/tex]

[tex](-7)=1+b[/tex]

[tex]b=-7-1[/tex]

[tex]b=-8[/tex]

Step 4. Write the equation in Slope-intercept form

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

[tex]y=-\frac{1}{2} x-8[/tex]

THE Answer is

x-11=3

??

and the number is 14

Answer:

X - 11 = 3

Step-by-step explanation:

3 is the answer and 11 is the part that is being subtracted. In subtraction the smaller number comes second which is why the question says minus 11.

Answer:

C

Step-by-step explanation:

There are two arcs a major and a minor arc. You should never have to rely on a diagram to get the right answer.

The circumference is 2 * pi * r

r = 6 km

C = 2* pi * 6

C = 12 pi

The arc size is

arc size = 135 / 360 * 12pi

arc size = 3/8 * 12 pi

arc size = 4 1/2 pi = 9 pi /2  km

Step-by-step explanation:

please see in the picture below.All step by step procedure

This value is approximate.

==========================================================

Explanation:

The cable is connected by these key points

Let's use the distance formula to find the length of segment AB.

[tex]A = (x_1,y_1) = (0,3)\\\\B = (x_2,y_2) = (6,5)\\\\d = \text{Distance from A to B} = \text{length of segment AB}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-6)^2 + (3-5)^2}\\\\d = \sqrt{(-6)^2 + (-2)^2}\\\\d = \sqrt{36 + 4}\\\\d = \sqrt{40}\\\\d \approx 6.325\\\\[/tex]

Segment AB is roughly 6.325 units long. You could use the pythagorean theorem as an alternative route instead of the distance formula.

If you repeated this process for the other segment lengths, then you should get these other approximate lengths.

Add up those three results:

AB+BC+CD = 6.325+6.083+6.325 = 18.733

The entire cable is roughly 18.733 units long.

Since 1 unit = 10 feet, we'll multiply that result by 10.

18.733*10 = 187.33 feet

This rounds to 187 feet which is the approximate length of the cable.

The length of the cable will be 187.2 feet long.

Let one point be (x, y) and another point be (h, k). Then the distance between the points will be

D² = (x - h)² + (y - k)²

From the diagram, the length between (0, 3) and (6, 5), (6, 5) and (12, 4), and (12, 4) and (18, 2) will be the length of the cable (L).

[tex]\rm L = \sqrt{(6 - 0)^2 + (5-3)^2} + \sqrt{(12 - 6)^2 + (4 - 5)^2} + \sqrt{(18 - 12)^2 + (2 - 4)^2}\\[/tex]

Simplify the equation, then we have

L = √40 + √37 + √40

L = 6.32 + 6.08 + 6.32

L = 18.72 units

L = 18.72 x 10

L = 187.2 ft

The length of the cable will be 187.2 feet long.

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Answer: -16d³ + 3d² - 3d + 2

Step-by-step explanation:

Given expression

(4d - 6d³ + 3d²) - (10d³ + 7d - 2)

Expand parentheses

(REMEMBER to change [+, -] signs when there is a [-] sign in before)

=4d - 6d³ + 3d² - 10d³ - 7d + 2

Put like terms together

=-6d³ - 10d³ + 3d² + 4d - 7d + 2

Combine like terms

=(-6d³ - 10d³) + 3d² + (4d - 7d) + 2

=[tex]\boxed{-16d^3+3d^2-3d+2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

-16d³ + 3d² -3d + 2

Step-by-step explanation:

(4d−6d³+3d²) − (10d³+7d−2) =

-6d³ - 10d³ + 3d² + 4d - 7d + 2 =

-16d³ + 3d² -3d + 2

Answer:

Step-by-step explanation:

Given:

To solve for n first isolate n:

Divide both sides by rt:

[tex]\\ \sf\longmapsto Pv=nrt[/tex]

[tex]\\ \sf\longmapsto nrt=Pv[/tex]

[tex]\\ \sf\longmapsto nr=\dfrac{Pv}{t}[/tex]

[tex]\\ \sf\longmapsto n=\dfrac{Pv}{rt}[/tex]

Answer:

$200

Step-by-step explanation:

Fine calculated per mile = $10

Fine calculated for 'm' mile = 10 * m  = 10m

Cost paid by violator = 80 + 10m

m = 12 miles

Cost paid by the violator = 80 + 10*12

                                         = 80 + 120

                                         = $ 200

Answer:

ans...g(-1) is 4 . Is it true?

g( ‐1 ) = 7

Step-by-step explanation:

substitute your (x) value with ( ‐ 1)

Answer:

Step-by-step explanation:

The domain is X value and range is Y so just put y=x^3 in desmos and the graph appears then check its range and domain from it. the range is positive and nevative infinity

Answer:

B) 74

Step-by-step explanation:

This is an icoseles triangle because of the 2 lines in each side. This makes <Y equal to <Z

Given:

<Y = <Z

All triangle angles add up to 180 so:

<W + <Y + <Z = 180

<W + 53 + 53 = 180

<W + 106 = 180

<W = 180 - 106

<W = 74