What is the slope of the line that passes through (3, -4) and (-2, 5). A)-5/9 B)-9/5 C)9/5 D)5/9

Answer:

Step-by-step explanation:

The answer is d.

Answer:

d

Step-by-step explanation:

We can write the answers as -

Given is the equation as -

3√x + 3 = 15

{ 1 } -

When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment. We can write -

TU² = TR x TS

{ 2 } -

We can write -

TU² = TR x TS

TU² = 9 x 4

TU² = 36

TU² = ± 6

TU = 6                         {non - negative}

Therefore, we can write the answers as -

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The 25.6 percentage of the number 82.5 is 21.12

Given data:

To find the percentage of 21.12 in relation to 82.5, the proportion is simplified as:

21.12 is to 82.5 as x is to 100.

This can be expressed as:

21.12/82.5 = x/100

On solving for x by cross multiplying:

21.12 * 100 = 82.5 * x

2112 = 82.5x

To isolate x, divide both sides by 82.5:

2112/82.5 = x

On simplifying:

25.6 ≈ x

Hence, 21.12 is approximately 25.6 percent of 82.5.

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Answer:

In other words to what the dude above me said, the answer is "a''

Step-by-step explanation:

By using the tangent formula, we will see that:

tan(x) = 5/12.

You just need to remember that we can write the tangent as:

tan(x) = sin(x)/cos(x).

In this case, we know that:

We can just replace these two in the tangent equation, we will get:

tan(x) = (5/13)/(12/13) = (5/13)*(13/12) = 5/12

tan(x) = 5/12

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Answer:

1- The sum is: 2m + 2n + 7 = 2(m+n) + 7

2- The difference is: 3m - 2

3- The difference is: -2m - 2n + 2 = -2(m+n-1)

Explanation:

Before we begin, remember the following:

+ve * +ve = +ve

-ve * -ve = -ve

+ve * -ve = -ve

-ve * +ve = -ve

Also, remember that, we only add/subtract like terms. There are terms which have the same variable(s) raised to the same degree

Now, let's check the problems:

Problem 1:

Adding two polynomials:

(m + n + 3) + (m + n + 4)

We first start by getting rid of the brackets:

m + n + 3 + m + n + 4

Now, we add like terms:

2m + 2n + 7

As an additional step, we can take 2 as a common factor from the first two terms:

2(m+n) + 7

Problem 2:

Subtracting two polynomials:

(10m - 6) - (7m - 4)

We first start by getting rid of the brackets. Take care of the different signs while doing so:

10m - 6 - 7m + 4

Now, we add/subtract like terms:

3m - 2

Problem 3:

Subtracting two polynomials:

(4m - 5) - (6m - 7 + 2n)

We first start by getting rid of the brackets. Take care of the different signs while doing so:

4m - 5 - 6m + 7 - 2n

Now, we add/subtract like terms:

-2m - 2n + 2

As an additional step, we can take -2 as a common factor from the above expression:

-2(m+n-1)

Hope this helps :)

Diagonals of square are congruent  while diagonals of kite are not congruent to each other.

" Diagonal is a straight line segment which connects the opposite vertices of any polygon or polyhedron."

Compare the properties of diagonal of square and kite

1) Diagonals of square are congruent while diagonals of kite are not of same length.

2) Diagonals of square bisect each other  while in kite longer diagonals bisects the smaller one.

3) Diagonals of square and kite are perpendicular to each other.

Hence, diagonals of square are congruent  while diagonals of kite are not congruent to each other.

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Answer:

the answer i 40 hope this helps :)

Step-by-step explanation:

Answer: The answer is 2/3.

Answer:

The probability of Suzy choosing a red bracelet and silver hat is 1/12

Step-by-step explanation:

Each one of the red, green, and gold necklace have a probability of 1/3.

Each one of the red and black bracelet have a probability of 1/2.

Each one of the silver, yellow, green, gold, black, and white hat have a probability of 1/6.

Hence, the probability of Suzy choosing a red bracelet and silver hat becomes:

[tex]\frac{1}{2}*\frac{1}{6} =\frac{1}{12}[/tex]

So, the answer is 1/12.

Answer:

its b!

Step-by-step explanation:

discount is $8 = 40/100 to find that discout

is $3.20

sale price : $8.00 - $3.20 which is $4.80!

Your welcome! :D

"Since the ratio is 5:7 you can think in total there was 12 equal blocks of money invested. 5 of those blocks belonged to Jim and 7 of those blocks belonged to Gail. Since they invested $3,600 and then made $6,450 in total there is $10,050. Divide that total into 12 equal blocks of $837.50 and 5 of those blocks belong to Jim. So he will get $4,187.50"

The amount that Gail will get is $5862.5.

A ratio is a comparison of two quantities produced by dividing the first by the second. If a and b are two values of the same kind and with the same units, and b is not equal to zero, then the quotient a/b is known as the ratio between a and b. The colon sign is used to denote ratios (:). This means that the ratio a/b has no unit and can be expressed as a: b.

Given:

Jim and Gail invested a total of $3,600 in a stock, in a ratio of 5:7.

The stock made $6,450 on top of the initial capital.

Total they made

= 3600+ 6450

= $10, 050

The pay off Jim get

= 10, 050 x 5/12

= 4187.5

and, the pay off Gail  get

= 10, 050 x 7/12

= $5862.5

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Answer:

Hence, the sum of the geometric series is:

                                      259

Step-by-step explanation:

We are given a geometric series as:

[tex]\sum_{i=1}^4 6^{i-1}[/tex]

i.e. we are asked to fnd the sum of first four terms of the geometric series with first term as 1

Since, the series is:

[tex]6^0+6^1+6^2+6^3[/tex]

Also, the common ratio of the series is: r=6

Since, each of the term of the series is 6 times it's preceding term.

Also we know that sum of a finite geometric series with n-terms and common ratio r is calculated by the formula:

[tex]S_n=a(\dfrac{r^n-1}{r-1})[/tex]

Here we have: a=1 and r=6 and n=4

Hence,

[tex]S_4=1(\dfrac{6^4-1}{6-1})\\\\\\S_4=\dfrac{1295}{5}\\\\\\S_4=259[/tex]

                        Hence, the sum of the series is:

                                     259

Answer:

You would need to use the formula for the volume of cylinder in order to get this. That's how I got to the answer of 81 pi. Maybe you used a different/wrong formula but you do need the formula for the volume of a cylinder.

The value of 1/4 inch in miles from the given map is; 75 miles

We are given that;

1 inch on the map = 300 miles

Now, we want to find what 1/4 inch will give us in miles from the given conversion. Thus;

1/4 inch in miles = 1/4 * 300

⇒ 75 miles

Thus, we will conclude that 1/4 inch will yield 75 miles on the map.

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The measure of the longest side of ∆ABC is 6 units. ∆ABC is a right scalene triangle. ∆ABD is also a right scalene triangle and the length of side AD is 5 units.

The measure of the longest side of ∆ABC can be found using the distance formula.

We calculate the distance between points A(1, 7) and B(-2, 2), between points B(-2, 2) and C(4, 2), and between points A(1, 7) and C(4, 2).

The longest distance is the measure of the longest side.

Using the distance formula, we find that the longest side is 6 units long.

∆ABC is a right scalene triangle.

This is because the lengths of its sides are all different and it has a right angle at point C, where the x-coordinate doesn't change but the y-coordinate does.

∆ABD is also a right scalene triangle.

The length of side AD can be found using the distance formula between points A(1, 7) and D(1, 2).

The length of side AD is 5 units.