Solve the equation for y. Identify the slope and y- intercept. Then graph the equation. 2y-3x=10

9514 1404 393

Answer:

  -13/11

Step-by-step explanation:

Straightforward evaluation of the expression at x=1 gives (1 -1)/(1 -1) = 0/0, an indeterminate form. So, L'Hopital's rule applies. The ratio of derivatives is ...

  [tex]\displaystyle\lim_{x\to 1}\dfrac{n}{d}=\dfrac{n'}{d'}=\left.\dfrac{\dfrac{4}{3\sqrt[3]{4x-3}}-\dfrac{7}{2\sqrt{7x-6}}}{\dfrac{5}{2\sqrt{5x-4}}-\dfrac{2}{3\sqrt[3]{2x-1}}}\right|_{x=1}=\dfrac{4/3-7/2}{5/2-2/3}=\dfrac{8-21}{15-4}\\\\=\boxed{-\dfrac{13}{11}}[/tex]

Answer:

The area of circle is 12.56m sq.

Answer:

The correct label of the line is CD

Answer:

θ = [tex]\frac{\pi}{4}[/tex]  

θ = [tex]\frac{7\pi}{4}[/tex]

Step-by-step explanation:

2cosθ - √2 = 0

First, add √ 2 to both sides

2cosθ - √2 = 0

          +√2  +√2

2cosθ = √2

Divide both sides by 2

2cosθ/2 = √2 / 2

cosθ = [tex]\frac{2}{\sqrt{2}}[/tex]

Use arccos to find θ

arccos([tex]\frac{2}{\sqrt{2}}[/tex]) = [tex]\frac{\pi}{4}[/tex]  and  [tex]\frac{7\pi}{4}[/tex] = θ

This value is approximate.

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

Explanation:

To find the perimeter, we simply add up the lengths of the three external sides.

The horizontal side from D to E is 16 units long since |-10-6| = 16. I subtracted the x coordinates of the points and applied absolute value. You could also count out the spaces and you should count 16 spaces from D to E.

Unfortunately, the diagonal lengths aren't as straight forward. We have two options here: The pythagorean theorem, or the distance formula.

I'll go with the distance formula.

Let's find the distance from C to D, aka the length of side CD

[tex]C = (x1,y1) = (-1,-2)\\\\D = (x2,y2) = (-10,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-(-10))^2 + (-2-0)^2}\\\\d = \sqrt{(-1+10)^2 + (-2-0)^2}\\\\d = \sqrt{(9)^2 + (-2)^2}\\\\d = \sqrt{81 + 4}\\\\d = \sqrt{85}\\\\d \approx 9.2195\\\\[/tex]

Side CD is roughly 9.2195 units long.

Repeat this idea to find the length of CE

[tex]C = (x1,y1) = (-1,-2)\\\\E = (x2,y2) = (6,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-6)^2 + (-2-0)^2}\\\\d = \sqrt{(-7)^2 + (-2)^2}\\\\d = \sqrt{49 + 4}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\[/tex]

Side CE is roughly 7.2801 units long

The perimeter of triangle CDE is approximately...

P = DE+CD+CE

P = 16 + 9.2195 + 7.2801

P = 32.4996

This then rounds to 32.5 units. The answer is choice C.

Answer:

A

Step-by-step explanation:

The first term of the sequence is 4, the common difference is 3. So the equation of this sequence is 4+(n-1)*3 or 1+3*n. Plug in n=100

Answer:

A'(0,-8) B'(5,-7) C'(3,0) D'(2,-5)

A''(0,8) B''(-5,7) C''(-3,0) D''(-2,5)

Step-by-step explanation:

first everything is shifted down 8 units (x,y-8), so we get A'(0,-8) B'(5,-7) C'(3,0) D'(2,-5)

then you multiply by -1 A''(0,8) B''(-5,7) C''(-3,0) D''(-2,5)

Answer:

It would cost you 9.6 dollar .

I hope it is helpful mark me as brainlest and follow me for more good answer plz♥️♥️

Answer:

i have attached pic of the graph

i hope this helps you

Answer:

6/15.

14/42.

Step-by-step explanation:

2/5 = 6/x

Cross multiply:

2x = 5*6

x = 15

Similarly:

10/30 = 14/x

10x = 30*14

x = 420/10

x = 42.

Answer: 10 km

Step-by-step explanation:

1cm is equal to 10km on ground.

The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary across a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult. This change makes the idea of scale significant in two different ways.

Given

A scale of 1:1,000,000 means that anything on the map that is 1 ‘unit’ in length represents something that is one million ‘units’ in length.

So two points 1 cm apart on the map will be one million centimetres apart in real life. Divide a million by 100 if you prefer the distance in metres. And divide that figure by 1,000 if you want it in kilometres.

1,000,000/100*1000 = 10km

To learn more about map scale refer to:

https://brainly.com/question/13242447

#SPJ2

9514 1404 393

Answer:

Step-by-step explanation:

Dilation has no effect on angle measures, so ∠A = ∠A'.

Point A is the center of dilation, so doesn't move. Any line through point A will still go through point A after dilation. Lines AD and A'D' are not distinct.

Answer:

d=8 and a=7

Step-by-step explanation:

The sum of a arithmetic sequence is given by (n/2)*(2a+(n-1)d). Comparing coefficients with the given Sn, we have; a-d/2=3 and d/2=4, d=8 and a=7. The sequence is 7, 15, 23, 31, 39

Answer:

tanθ ≅ 0.4364

Step-by-step explanation:

Answer:

m=5+t/2-s

Step-by-step explanation:

arrange like terms

2m-sm=5+t

factotise m in the first side of the equation

m(2-s)=5+t

divide both sides by (2-s)

therefore m=5+t/2-s

Answer:

Option A, m⁴/n²

Multiply the exponent 6 with the exponents of m and n

The three main log rules you'll encounter are

The first rule allows us to go from a log of some product, to a sum of two logs. In short, we go from product to sum. The second rule allows us to go from a quotient to a difference. Lastly, the third rule allows to go from an exponential to a product.

Here are examples of each rule being used (in the exact order they were given earlier).

----------------

Here's a slightly more complicated example where the log rules are used.

log(x^2y/z)

log(x^2y) - log(z)

log(x^2) + log(y) - log(z)

2*log(x) + log(y) - log(z)

Hopefully you can see which rules are being used for any given step. If not, then let me know and I'll go into more detail.

Probability of First = 2/9

Probability of Second = 4/11

Probability of both winning = 2/9 + 4/11

= 22/99 + 36/99

= 58/99

Answer is 58/99 probability of them both winning

Must click thanks and mark brainliest

Equate what is inside cosine with [tex]2\pi[/tex], base period and solve for x,

[tex]2\pi=\frac{\pi}{3}x[/tex]

[tex]6\pi=\pi x[/tex]

[tex]\boxed{x=6}[/tex]

Hope this helps :)

Answer:

p = 5

Step-by-step explanation:

hopefully it is clear and understandable :)

Answer:

the answer is

-x-8y=8

or, x + 8y= -8

Step-by-step explanation:

4x - 6y = 13 - (5x + 2y = 5)

or, 4x - 6y = 13

- 5x - 2y = -5

-------------------------

- x - 8y = 8

Answer:

While central tendency tells you where most of your data points lie, variability summarizes how far apart your points from each other. Data sets can have the same central tendency but different levels of variability or vice versa. Together, they give you a complete picture of your data.

Step-by-step explanation:

Answer:

make an 8 horizontal

oooookkkk

Answer:

TRUE

The number of multiples of a given number is finite is a false statement. The number of multiples of a given number is infinite.

Examples:

Multiples of 2 = 2,4,6,8,10,…..

Multiples of 3 = 3,6,9,12,15,18,…

Multiples of 4 = 4, 8, 12, 16, 120, 24….

∴ The number of multiples of a given number is infinite .

Answer From Gauth Math

Answer:

$304

Step-by-step explanation:

4 Windows (each window has 1 blind and 2 panels of curtains)

1 blind = $20 * 4 = $80

1  panels curtains = $28 * 2 = $56 * 4 = $224

$80 + $224 = $304

Answer:

-5

Step-by-step explanation:

For an expression to be undefined, the denominator must be equal to 0

Therefore, we must equate the denominator in the expression to 0

2v + 10 = 0

2v = 0 - 10

2v = -10

v = -10/2

v = -5

So in order for the expression to be undefined, v must be equal to -5

Answer:

[tex]C. \ \ \ 86[/tex]°

Step-by-step explanation:

1. Approach

In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).

2. Arc (a) and arc (c)

A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:

[tex]a = c[/tex]

3. Finding the degree measure of arc (a),

The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:

[tex]86=\frac{a+c}{2}[/tex]

Substitute,

[tex]86=\frac{a+c}{2}[/tex]

[tex]86=\frac{a+a}{2}[/tex]

Simplify,

[tex]86=\frac{a+a}{2}[/tex]

[tex]86=\frac{2a}{2}[/tex]

[tex]86=a[/tex]

16x²+40xy + 25y²

(4x+5y) (4x+5y)

(4x+5y)²

I hope I helped you^_^