Please help A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?

Answer:

m = 2

Step-by-step explanation:

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

Simply plug our coordinates into the slope formula and solve for m:

m = (5 - 3)/(4 - 3)

m = 2/1

m = 2

Answer:

Step-by-step explanation:

Let the points be A and B

A( 3 , 3 ) -----> ( x1 , y1 )

B(4 , 5 ) ------>( x2 , y2 )

Now,

finding the slope,

Slope =[tex] \frac{y2 - y1}{x2 - x1} [/tex]

[tex] = \frac{5 - 3}{4 - 3} [/tex]

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

[tex] = 2[/tex]

Hope this helps...

Good luck on your assignment..

Multiply both sides of the ODE

[tex]x'+2tx+5t[/tex]

by [tex]e^{t^2}[/tex]:

[tex]e^{t^2}x'+2te^{t^2}x=5te^{t^2}[/tex]

Now the left side can be condensed as the derivative of a product:

[tex]\left(e^{t^2}x\right)'=5te^{t^2}[/tex]

Integrate both sides, then solve for x :

[tex]e^{t^2}x=\dfrac52e^{t^2}+C[/tex]

[tex]\implies x(t)=\dfrac52+Ce^{-t^2}[/tex]

Given that x(0) = 8, we find

[tex]8=\dfrac52+Ce^0\implies C=\dfrac{11}2[/tex]

so that the particular solution to this IVP is

[tex]\boxed{x(t)=\dfrac{5+11e^{-t^2}}2}[/tex]

Answer:

yes

Step-by-step explanation:

2b+b=3b because2+1 = 3

Answer:

the answer is yes

Step-by-step explanation:

yes it is equivalent expression because 2b+b and 3b have the same value and length or numerator which equals yes.

Answer:

[tex]3x - 4y = 17ndx - y = 3 \\ 3x - x - 4y + 44y = 17 - 3 \\ 3x - x = 17 - 3 \\ 2x = 17 - 3 \\ 2x = 14 \\ x = 7 \\ \\ 7 - 4y = 3 \\ - 4y = - 4 \\ y = 1[/tex]

Answer:

x = 7

y = 1

Step-by-step explanation:

3x - 4y = 17

x - 4y = 3

Solve x in the second equation.

x = 3 + 4y

Put x as 3 + 4y in the first equation and solve for y.

3(3 + 4y) - 4y = 17

9 + 12y - 4y = 17

9 + 8y = 17

8y = 17 - 9

8y = 8

y = 8/8

y = 1

Put y as 1 in the second equation and solve for x.

x = 3 + 4(1)

x = 3 + 4

x = 7

Answer: 11:16

Step-by-step explanation: 11 ounces of blue paint: the total number ounces of paint (adding blue and yellow)

Answer:

5:16

Step-by-step explanation:

The amount of blue paint is 5 oz

The total amount of paint is 16 oz

Make these numbers a ratio of blue to total

Answer:

860.

Step-by-step explanation:

66 x 10= 660

20 x 10= 200

660+200= 860.

Answer:880

Step-by-step explanation:

[tex]66 x 10=66020 x 10=200200+660=880[/tex]

Answer:The first one

Step-by-step explanation:

V rectangular prism = Area of the base *5

Answer:

5

Step-by-step explanation:

[tex] \because \triangle ACB \cong \triangle DCE... (given) \\

\therefore \angle A \cong \angle D... (c.a.c.t)\\

\therefore m\angle A = m\angle D\\

\therefore 50\degree = 10x\\\\

\therefore x = \frac{50\degree}{10}\\\\

\huge \orange {\boxed {\therefore x = 5\degree}} [/tex]

Answer:

(c) I paid 200% of what I could have online and on sale.

Step-by-step explanation:

The multiplier for a increase of a% is 1 + a/100.

In this question:

You paid twice, which means that the multiplier is 2. So

a is the increase, as a percent.

[tex]1 + \frac{a}{100} = 2[/tex]

[tex]\frac{a}{100} = 1[/tex]

[tex]a = 100[/tex]

You had an increase of 100% on the price. Since the original amount was 100% you paid 100 + 100 = 200%(100% more, 2 times) of what you could have paid.

So the correct answer is:

(c) I paid 200% of what I could have online and on sale.

Answer:

676

Step-by-step explanation:

Convert the percentage to a decimal.

30% = 0.3

Multiply the number by the decimal.

520 × 0.3 = 156

Add this number by the number given.

520 + 156 = 676

Answer:

w = -7z/2

Step-by-step explanation:

Our goal is to isolate w

1. subtract 3w from both sides to get 2w+9z = 2z

2. Subtract 9z from both sides to get 2w = -7z

3. Divide both sides by 2 to get w = -7z/2

We cannot simplify further, so this is our answer.

Hey there! :)

Answer:

2nd choice. (x - 2)

Step-by-step explanation:

Given in the question:

(x²-4) ÷ (x + 2) = x-2

This is an example of difference of squares.

We can rearrange the equation by multiplying both sides by (x+2) to become:

(x² - 4) = x - 2 (x + 2)

Therefore, the binomial that must be multiplied by (x+2) is the second choice, x-2.

Answer: B

Step-by-step explanation:

Answer:

The height of triangle is 12cm.

The base of triangle is 25 cm.

The area of triangle is 150cm².

Step-by-step explanation:

Given that the area of triangle is Area = 1/2×base×height. So you have to substitute the values into the formula :

[tex]area = \frac{1}{2} \times base \times height[/tex]

[tex]let \: base = 25 \\ let \: height = 12[/tex]

[tex]area = \frac{1}{2} \times 25 \times 12[/tex]

[tex]area = \frac{1}{2} \times 300[/tex]

[tex]area = 150 \: {cm}^{2} [/tex]

the answer is c-25

hope this helps

Answer:

C

Step-by-step explanation:

Answer:

3 8/9

Step-by-step explanation:

1.) Convert each fraction from a mixed number to a improper fraction (to do that multiply the denominator with the whole number then add the numerator, the improper fraction denominator will remain the same as the mixed number denominator):

14/3 ÷ 6/5

2.) Solve

a. To divide the fractions, Flip the reciprocal, and multiply the fractions

14/3 x 5/6

b. Check if you can reduce the numbers, which you can 14 and 6 can be both divided by 2:

7/3x5/3

c. Multiply fractions (simply by multiplying across):

35/9

3.) Simplify numbers into mixed fraction (or decimal):

3 8/9

Answer:

  see below

Step-by-step explanation:

There are a couple of ways to go about this.

The general form of a conic equation is ...

  Ax^2 +Bxy +Cy^2 +Dx +Ey +F = 0

For AC > 0, this is the equation of an ellipse or circle. (AC < 0, hyperbola; AC = 0, parabola)

So, from the coefficients of the given equation, AC = 2·5 = 10, you know the equation is of an ellipse.

__

The rotation matrix for Cartesian coordinates tells you ...

  x = x'·cos(θ) +y'·sin(θ)

  y = -x'·sin(θ) +y'·cos(θ)

For θ = 45° the values of these trig functions are all (√2)/2. That is, there is no way to get coefficients in the rotated equation that involve √3. This eliminates choice 2.

The only remaining viable choice is choice 4.

__

If you like, you can substitute for x and y using the above relations. You will find that the result differs from any of the answer choices. The rotated figure will have the equation ...

  [tex]5x^2-6xy+9y^2+10\sqrt{2}x+2\sqrt{2}y-80=0[/tex]

For example, the x and y terms become ...

  [tex]6x-4y=6(x'\cos{(45^{\circ})}+y'\sin{(45^{\circ})})-4(-x'\sin{(45^{\circ})}+y'\cos{(45^{\circ})})\\\\=10x'\dfrac{\sqrt{2}}{2}+2y'\dfrac{\sqrt{2}}{2}\\\\\text{Multiplying this by 2 gives $\dots$}\\\\10x'\sqrt{2}+2y'\sqrt{2}[/tex]

Note that this is not the 10√2x' -10√2y' shown in choice 4.

__

Another way to look at this is to look at the angle of rotation relative to alignment with the x- and y-axes. That angle α is given by ...

  cot(2α) = (A -C)/B

For the original ellipse, the rotation angle is ...

  α = arccot((2 -5)/2)/2 ≈ -16.85°

For the transformed ellipse of choice 4, the rotation angle is ...

  α = arccot((9 -5)/6)/2 ≈ 28.15°

This is 45° more*, as it should be, indicating choice 4 is the better of the offered choices.

__

If you do the angle calculation for the 2nd answer choice, you will find it has no relation to a 45° rotation of the original ellipse.

_____

* While the computed rotation angle is as expected, the fact that the x^2 and y^2 coefficients have been swapped means that the long and short axes of the ellipse have been swapped. That is, the long axis of the ellipse has been rotated 45° in the wrong direction by the equation given in the answer choices. The second attachment shows the original ellipse (red), the properly rotated ellipse (dashed red) and the ellipse of choice 4 (blue).

Answer:

slope is m=1. y-intercept is -1

Answer:

Slope is 1 and intercept is -1. Slope can be found by taking the rise and run of 2 points on a graph. and intercept is just when x = 0

Answer:

(√77) / 22

Step-by-step explanation:

To rationalize the fraction we must multiply the entire fraction by √11 / √11. Note that the 2 is not important because it's not a radical. This gives us √77 / 22.

its congruent by HL or RHSaxiom

Answer:

HL

Step-by-step explanation:

[tex] In\: right \triangle 's DAB \: \&\: CBA\\

\angle DAB \cong \angle CBA... (each 90\degree) \\ hypotenuse \: DB \cong hypotenuse \: CA. (given) \\

side AB \cong side BA.. (common) \\

\therefore \triangle DAB \cong \triangle CBA.. (By \: RHS\: or \: HL \: Postulate) [/tex]

Answer:

35/42 = b/7    and b= 35/6

Step-by-step explanation:

Our base is unkhown so it will be the variable in our equation :

so b is 35/6 cm

Answer:

[tex]\frac{1}{9^3}[/tex] or [tex]\frac{1}{729}[/tex]

Step-by-step explanation:

When we have an exponent that is a negative, it is the same thing as 1 over the positive exponent. So, we move 9^-3 into 1/9^3 and then we evaluate the exponent to get our answer.

Looks like the limit is

[tex]\displaystyle\lim_{(x,y)\to(0,0)}\frac{x^4-36y^2}{x^2+18y^2}[/tex]

Let [tex]y=x^m[/tex] with [tex]m\ge1[/tex], so the limit is equivalent to

[tex]\displaystyle\lim_{x\to0}\frac{x^4-36x^{2m}}{x^2+18x^{2m}}=\lim_{x\to0}\frac{x^2-36x^{2(m-1)}}{1+18x^{2(m-1)}}=0[/tex]

Now let [tex]x=y^n[/tex] with [tex]n\ge1[/tex], so the limit is

[tex]\displaystyle\lim_{y\to0}\frac{y^{4n}-36y^2}{y^{2n}+18y^2}=\lim_{y\to0}\frac{y^{2(2n-1)}-36}{y^{2(n-1)}+18}=-\dfrac{36}{18}=-2[/tex]

The value of the limit evidently depends on path of approach, so the limit does not exist.

Answer:

7.22?

Step-by-step explanation:

Answer:

3 meters

63 meters

Step-by-step explanation:

In order for his two breaks to occur after even distances, simply divide his total path in three:

[tex]B = \frac{9}{3}\\ B=3\ meters[/tex]

He will reach his first break after 3 meters.

If he can only take 9 pieces at a time the number of trips required is:

[tex]n=\frac{36}{9}\\ n=4[/tex]

Note that he will have to back to the back yard for the first three trips (traveling back the 9 meters path). The total distance traveled is:

[tex]d= 3*(9+9)+9\\d=63\ meters[/tex]

He will travel 63 meters.

Answer: 4 wholes and 1/5 is 4.20 and you need something greater than that but less than 4.25 which still has only 2 decimals.

Answer:

Negative Binomial

Step-by-step explanation:

The girl receives only 5% of mail which are addressed to her. Rest of 95% mails belong to other family members.

P (X) = 5%

P (X) = 95 / 5

P (X) = 19

The family receives 19 mails out of which only 5% will address the girl. The all other mails belong to the other family members.

Answer:

(1,1)

Step-by-step explanation:

x=1

y=1

6(1) + 1=7

6+1=7

Answer:

x=1, y=1

Step-by-step explanation:

Answer:

9.110434

Step-by-step explanation:

√83 ≈ 9.110434

Answer:

9.

Step-by-step explanation:

You would have to find the area of the triangle which is 1/2(bh) which would give you 9. So you would 9 feet of outdoor carpet. Which is actually already given to you as the area inside the triangle.

Answer:

9

Step-by-step explanation:

I finally got it!