whos good at algebra bc...

The expression that shows how to rewrite 4 − 5 using the additive inverse is (a)

The expression is given as

4 - 5

The law of additive inverse states that

x + (-x) = 0

This means that x and -x are additive inverses

Using the above as an illustration,

4 - 5 can be rewritten as 4 + (-5)

And the above implies that the number line moves 4 points to the right and 5 points to the left

Hence, the expression that shows how to rewrite 4 − 5 using the additive inverse is (a)

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they add up to 180 degrees

Answer:

[tex]\textsf{a)} \quad x = 59^{\circ}[/tex]

[tex]\textsf{b)} \quad \boxed{\begin{minipage}{8.5 cm}\sf The angle between the tangent and the radius at a point \\on a circle is $90^{\circ}$.\end{minipage}}[/tex]

Step-by-step explanation:

As two sides of the triangle inside the circle are the radius of the circle, the triangle is an isosceles triangle.  

Therefore, its two base angles are 31°.

The tangent of a circle is:

Therefore:

[tex]\implies x + 31^{\circ} = 90^{\circ}[/tex]

[tex]\implies x +31^{\circ}-31^{\circ}= 90^{\circ} - 31^{\circ}[/tex]

[tex]\implies x = 59^{\circ}[/tex]

The circle theorem that allows you to calculate angle x is:

[tex]\boxed{\begin{minipage}{8.5 cm}\sf The angle between the tangent and the radius at a point \\on a circle is $90^{\circ}$.\end{minipage}}[/tex]

Answer:

8.10 & 8.100

Hope this helps ^^

Have a good day <3!

My answer to part (a) relates to the explicit formula in an  n  =  n+6  n  a=  n+6  n.

a=  n+6  n

Step-by-step explanation:

n=an−1−5

Step 1: Flip the equation.

an−6=n

Step 2: Add 6 to both sides.

an−6+6=n+6

an=n+6

Step 3: Divide both sides by n.

an  n  =  n+6  n  a=  n+6  n

An arithmetic sequence has the explicit formula a = a + (n - 1)d, and each term of the sequence may be computed without knowing the values of the previous terms. The nth term of an arithmetic, geometric, or harmonic series is usually the explicit formula.

The formal equations for L-functions in mathematics are Riemann's zeta function and links between sums over an L-complex function's number zeroes and sums over prime powers.

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Answer:-12

Step-by-step explanation:

6(6-6+ -2)

6(-2)

-12

Answer: 0.00390625

Step-by-step explanation:

Answer:

The answer is 1/256 :)

Step-by-step explanation:

This one is actually quite simple! All you need to do is multiply 1/16 by 1/16! 1 x 1 is 1 of course, and 16 x 16 is 256. I've attached an image to help break it down even further. (credit to cymath.com)

Hope this helps!

Answer:

The average heart beats 80 - 90 timers per minute. In 1 second it beats 1.33 1.5 times

Step-by-step explanation:

Quora

Answer:

27273763hebvrhejwj27222

The amount of money after 10 months will be $67.2. The number of months (n) that it takes to have at least $100 will be 2 years or 24 months.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

[tex]\rm A = P \left (1 + r \right ) ^{t}[/tex]

Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of months.

I keep my savings in a bank account that, at the end of each month, gives me 3% interest on the balance. (If I withdraw my funds before the end of the month, I forfeit the interest I would have accrued.) I opened the account using the $50 I received as a birthday gift.

The amount of money after 10 months will be

A = 50 (1 + 0.03)¹⁰

A = 50(1.03)¹⁰

A = 50 x 1.344

A = $67.2

The number of months (n) that it takes to have at least $100 will be

100 = 50 (1.03)ⁿ

2 = (1.03)ⁿ

n ln 1.03 = ln 2

n = ln 2 / ln 1.03

n = 23.5 ≈ 24 months or 2 years

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Answer:

it is not factorable

Step-by-step explanation:

Answer:

1) the center is (3,4), radius is 3. 3)  ( x − 2 )^2 + ( y − 14 )^2 = 9, 5) the center is (12,5), the radius is 4

Step-by-step explanation:

For the graphs just look for the middle point, and thats essentially your center, and the radius is how many units the edge of the circle is to the center. So for 1 the center would be (3,4) and the radius 3. For problem 3 use the equation  ( x − a )^2 + ( y − b )^2 = r^2, where you substitute the radius for r, your x center coordinate as a, and your y coordinate as b. In problem 5, use 12 as your x value for the center coordinate, and 5 as your y value. Then just take the root of 16 to get your radius, and apply that to the other problem. Hope this helps :)

The equation of the line h. 5x + 6y = 9 is parallel with the equation of the line 5x + 6y = 30.

Two lines are parallel with each other if they do not intersect no matter how much you extend both lines. Parallel lines have equal slopes.

The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points. In an equation in slope-intercept form, y = mx + b, the slope, m is the coefficient of x.

Determine the slope of the given line and each given choices by transforming each into slope-intercept form.

5x + 6y = 30

6y = -5x + 30

y = -5/6 x + 30/6

y = -5/6 x + 5

m = -5/6

f. 5x + 9y = 30

9y = -5x + 30

y = -5/9 x + 30/9

y = -5/9 x + 10/3

m = -5/9

g. 9x + 6y = 30

6y = -9x + 30

y = -9/6 x + 30/6

y = -3/2 x + 5

m = -3/2

h. 5x + 6y = 9

6y = -5x + 9

y = -5/6 x + 9/6

y = -5/6 x + 3/2

m = -5/6

i. 6x + 5y = 30

5y = -6x + 30

y = -6/5 x + 30/5

y = -6/5 x + 6

m = -6/5

Since h. 5x + 6y = 9 has a slope of -5/6 and equal to the slope of the given line, then they are parallel lines.

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The expansion of 6 4 0,409, 210 is given below with the solution.

The division of numbers into groups according to place value, such as ones, tens, hundreds, thousands, ten thousand, and so on, results in the expanded form of the number. The expanded version of the number is the one that is represented by the sum of each digit times its place value.

6 4 0,409, 210 = 6 × 10,00,00,000 + 4 × 100,00,000 + 0 × 10,00,000 + 4 × 100,000 + 0 × 10,000  + 9 × 1000 + 2 × 100 + 1 ×10 + 1 × 0

A number is displayed in expanded form according to the place values of its digits.

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Answer:

x squared

Step-by-step explanation:

x squared and the rest =1

A normal polyhedron shape is defined as a polyhedron having a symmetry group that acts transitively on the flags. Regular polyhedral are highly symmetrical because they are all edge-transitive, corner-transitive, and face-transitive. Many different equivalent definitions are used in classical contexts. There are many definitions in mathematics defining a regular polyhedron, and is that the faces of a polyhedron are nothing but congruent regular polygons that are constructed in the same way around each vertex of the polyhedron. So the polyhedron having faces/sides that are congruent with regular polygons and the exact number of faces that meet at each vertex is called a regular polyhedron.

Euler's polyhedron formula describes the relationship between the number of vertices, edges, and faces of a three-dimensional polyhedral shape.

V-E+F=2 gives Euler's polyhedron formula.

Where V-corner, E-edge, F-face.

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The value of the triangle side segment CD is; 3

The HL Congruence Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Now, in this question, we are told that BA ≅ CA. Thus, by applying HL congruence postulate, we can say that;

BD = CD

Also, AD = AD due to reflexive property of congruence.

We are given that BD = 3. Thus, CD = 3

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Answer:

I don't know rjdjdjjdjddjidis

It can be solved using a Venn diagram. Total 8 students took both subjects.

A Venn diagram uses overlapping circles or other shapes to represent the relationships between two or more groups of objects. They typically serve to attractively organize objects, highlighting both the similarities and differences between the components. In the fields of mathematics, statistics, logic, education, linguistics, computer science, and business, Venn diagrams are extensively utilized.

It can be solved using a Venn diagram as

14 students take Physics, 6 students take mathematics and the rest 8 take both subjects.

where, 14(Physics) + 6(mathematics) + 8(both) = 28 (which is the total no. of students).

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The equation of the circle x^2 + y^2 = 2 has a radius of √2 and a center located at (0 , 0).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, x^2 + y^2 = 2, is in standard form, then

h = 0

k = 0

r = √2

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If Jenny's Bakery sells carrot muffins at 2 each and the electricity to run the oven is 120 per day and the cost of making one carrot muffin is 1.40, then the number of muffins needed to be sold each day to break even is equal to 200.

The number of muffins needed to be sold each to break even can be determined by forming a linear equation.

A linear equation, sometimes also referred to as a first-degree equation can be described as an equation that contains variables that have the maximum power of not more than one.

The linear equation for this problem will be,

Cost of electricity to run the oven + Cost of making x number of muffins = Sale price of x number of muffins

120 + 1.40 (x) = 2 (x)

Here x is equal to the number of muffins

Rearranging the equation,

120 = 2(x) - 1.40 (x)

120 = 0.6 (x)

120/0.6 = x

x = 200

Hence, 200 muffins are needed to be sold each day to break even.

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The linear equation with a direct variation function always passes through the origin.

What are direct variation functions?

The direct variation function defines a linear function of the form y = kx, where y varies as a multiple of x and x 0. These always follow the origin test.

Calculation

Yes, the method will always work because the linear equations having direct variations are those equations which always pass through the origin.

For example: If we consider an equation y = 3x. Then, it will always pass through the origin as y changes with respect to some multiples of x.

Hence, the direct variation function always passes through the origin.

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Explanation:

Multiply the given values. This is because,

total mass = (number of paperclips)*(mass per paperclip)

So,

(5.0 x 10^−4)(6.85 x 10^4)

(5.0 * 6.85) x (10^−4 * 10^4)

34.25 x 10^(-4+4)

34.25 x 10^0

(3.425 x 10^1) x 10^0

3.425 x 10^(1+0)

3.425 x 10^1

3.4 x 10^1

We round the first value to 2 sig figs because it is the smaller sig fig count of 5.0 and 6.85; the 0 in 5.0 is significant.

Notice how I rewrote 34.25 into 3.425 x 10^1. I did this to get the number in the form a x 10^b, where [tex]0 \le a < 10[/tex], which fits scientific notation form.

The value 3.4 x 10^1 simplifies to 34. So an estimate of the total mass is about 34 mg. But we'll stick with scientific notation since your teacher instructed it.

Answer: 5, 7, 13, 15, 18

Step-by-step explanation:

The correct completion of the given two column proof is as below.

From the given two column proof, the correct way to complete it is;

Statement 1; m║n

Reason 1; Given

Statement 2; ∠3 and ∠6 are same side interior angles

Reason 2; Definition of Same side interior angle theorem

Statement 3; ∠3 and ∠6 are supplementary

Reason 3; Definition of Supplementary

Statement 4; m∠3 + m∠6 = 180°

Reason 4; Same side interior angle theorem

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I don't know lol ididjdjdj

The pattern exists described as a sequence of repeating objects, shapes, or numbers. Patterns can also occasionally be referred to as a series.

The pattern follows the rule tn = t(n-1) × 3

The next three numbers be 1, 3, 9, 27, 81, 243, 729, 2187.

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

Let the numbers in the pattern be 1, 3, 9, 27, 81, . . .

t2 = 1 × 3 = 3

t3 = 3 × 3 = 9

t4 = 9 × 3 = 27

t5 = 27 × 3 = 81

t6 = 81 × 3 = 243

t7 = 243 × 3 = 729

t8 = 729 × 3 = 2187

Thus the pattern follows the rule tn = t(n-1)×3

Therefore, the next three numbers be 1, 3, 9, 27, 81, 243, 729, 2187.

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neverminding the amount of $3000, we know the compound interest is 1.1%, we also know that the compounding period is daily, so hmmm let's assume there are 365days in a year, so

[tex]~~~~~~ \textit{Annual Percent Yield Formula} \\\\ ~~~~~~~~~~~~ \left(1+\frac{r}{n}\right)^{n}-1~\hfill \begin{cases} r=rate\to 1.1\%\to \frac{1.1}{100}\dotfill &0.011\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, so let's assume 365} \end{array}\dotfill &365 \end{cases} \\\\\\ \left(1+\frac{0.011}{365}\right)^{365}-1 ~~ \approx ~~ 0.01106055 ~~ \approx ~~ 1.106055\% ~~ \approx 1.11\%[/tex]

a. 95 b. kite

Step-by-step explanation:

a. all quadrilaterals add up to 360° angle with all angles, so 100+100+65=265, 360-265=95.

b. most quadrilaterals have 2 pairs of 2 equilateral angles, and this is one of the only ones that doesnt.

Answer:

a)  95°

b)  Kite

Step-by-step explanation:

Theorem:  Interior angles of a quadrilateral sum to 360°.

Given angles:

Let x be the unknown angle.

⇒ 100° + 65° + 100° + x = 360°

⇒ 265° + x = 360°

⇒ 265° + x - 265° = 360° - 265°

⇒ x = 95°

Therefore, the fourth angle is 95°.

A kite is a quadrilateral that has one pair of congruent opposite angles.

Therefore, as two of the interior angles of the given quadrilateral are equal, the shape may be a kite.