Vlad tried to solve an equation step by step.
Find Vlad's Mistake.

Answer:

Step-by-step explanation:

eq. of line is 3x-5y=8

5y=3x-8

y=3/5 x-8/5

its slope=3/5

slope of line perpendicular to it=-5/3

eq of line with slope -5/3 and passing through (3,7) is

y-7=-5/3(x-3)

or 3y-21=-5x+15

or 5x+3y=15+21

or 5x+3y=36

Answer:

P = 3,500   r = 0.0425    n = 12    t = 0.5

Step-by-step explanation:

P is the principal amount, which in this case is $3,500, or the start amount.

r is the interest rate, which is 4.25%. Change 4.5% to decimal form and it will be 0.0425.

n is the number of times the loan is repaid, or 12.

t is the time. In this case, the loan will be for 6 months, or half a year. Remember that variable t is always in term of years. In decimal form, half a year is 0.5.

Answer:

x = 26 - 21 = 5

Answer:

x=5

Step-by-step explanation: Subtract 21 from both sides. x = 5.

Answer:

-5, -2.2, -2, 2, 2.2, 5

Step-by-step explanation:

-5

-2.2

-2

2

2.2

5

Answer:

-5

-2.2

-2

2

2.2

5

Answer:

40

Step-by-step explanation:

-To find the median with an odd set of numbers

-To find the median with a even set of numbers

Answer:

B: 24 cm

Step-by-step explanation:

The triangle is ((4*3)/2). The squares are 12 (3*4) and 6 (1.5*4)

Answer:

24 cm^2

Step-by-step explanation:

We can find the area of the figure, surface area is for three dimensional figures

The area of the triangle is

A = 1/2 bh

A = 1/2 (3) *4 = 6

The area of the top rectangle is

A = l*w = 3 * (8-4) = 3* 4 = 12

And the area of the bottom rectangle

A = l*w = 1.5 ( 8-4) = 1.5*4 =6

The total area is the sum of the individual areas

6+12+6 = 24

24 cm^2

Answer:

The expression can be simplified into [tex]2\,\sqrt{5} +2\sqrt{2}[/tex]

with no square roots in the denominator

Step-by-step explanation:

We are considering the expression  [tex]\frac{6}{\sqrt{5}-\sqrt{2} }[/tex]  which I believe is what you wanted to type in your question.

The idea behind simplification of the expression, is normally associated with the rationalization of the denominator by eliminating irrational numbers from it. This means to get rid of any "irrational" number expression (like in this example, the square root of non-perfect square numbers ([tex]\sqrt{5}\,\,\,and \,\,\sqrt{2}[/tex]).

We proceed by writing this quotient in an equivalent form by multiplying its numerator and its denominator by what is called the "conjugate" of the denominator. In our case, multiply by " [tex](\sqrt{5} +\sqrt{2})[/tex] ", because such product will allow the denominator to become a rational number:

[tex]\frac{6}{\sqrt{5}-\sqrt{2} }\,*\,\frac{(\sqrt{5}+\sqrt{2} )}{(\sqrt{5}+\sqrt{2}) } =\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{\sqrt{5}^2-\sqrt{2}^2 }=\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{3}=2\,\sqrt{5} +2\sqrt{2}[/tex]

where we find all square roots eliminated from the denominator

Answer:

Each friend payed $15

Step-by-step explanation:

( 9 x 3 - 162 ) divide that answer by 9 to get the amount of how much each friend payed.

Answer:

The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Step-by-step explanation:

The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates.

So, Number of candidates required = 4

Total number of candidates = 15

Number of candidates which are members of the debate team. = 8

So, Number of candidates which are not the members of the debate team = 15-8 =7

The probability that all of the offices are filled by members of the debate​ team = [tex]\frac{^8C_4}{^{15}C_4}=\frac{\frac{8!}{4!\left(8-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0512[/tex]

The probability that none of the offices are filled by members of the debate​ team=[tex]\frac{^7C_4}{^{15}C_4}=\frac{\frac{7!}{4!\left(7-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0256[/tex]

Hence The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Answer:

y=0.5x-4

Step-by-step explanation:

y+3=0.5(x-2)

y+3=0.5x-1

y=0.5x-4

Answer:

-6 ≤y≤9

Step-by-step explanation:

The range is the values for the outputs

The range is from -6 inclusive to 9 inclusive

-6 ≤y≤9

Answer: y<-12

Step-by-step explanation:

[tex]-\frac{3}{4}y>9[/tex] is our einequality we are given. To solve, we want to get x alone. We would have to multiply both sides by -4/3.

[tex]y>-12[/tex]

You may thing this is the answer, but it is very close. When you multiply or divide by a negative number, you flip the sign. Therefore, the answer is [tex]y<-12[/tex].

Answer:

AC congruent to EC

Step-by-step explanation:

This problem is asking specifically to prove triangles congruent using HL.

HL is a method of proving triangles congruent. HL stands for Hypotenuse-Leg. If you can show that the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg, respectively, of another triangle, then the triangles are congruent.

Looking at triangle ABC and EDC, we see that the legs AB and ED are congruent. We already have a pair of corresponding congruent legs. Now we need a pair of hypotenuses.

You need AC congruent to EC.

Answer:

AC congruent to EC

Step-by-step explanation: I took the test

Answer:

Step-by-step explanation:

is the given line  3x - 4y = -17?

then,

- 4y = -3x -17

y=(3/4)x+17/4

it is parallel, so slope of our line is 3/4 or 0.75

y=0.75x+b

next, lets plug in the given point to get the y-int

2=0.75*(-3)+b

2=-2.25+b

b-2.25=2

b=4.25

the equation is y=0.75x+4.25

does this clear anything, or am I off topic? please tell me I will help you

The equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]

The given equation of line is,

                            [tex]3x-4y=-17\\\\4y=3x+17\\\\y=\frac{3}{4} x+\frac{17}{4}[/tex]

Compare above equation with [tex]y=mx+c[/tex]

Slope of given line [tex]m=\frac{3}{4}[/tex]

Since, the slope of all parallel lines are same.

So that, slope of required line is also [tex]\frac{3}{4}[/tex]

The equation of line is, [tex]y=\frac{3}{4}x+c\\[/tex]

Substitute point [tex](-3,2)[/tex] in above equation.

                   [tex]2=\frac{3}{4}(-3)+c\\\\\\c=2+\frac{9}{4} =\frac{17}{4}[/tex]

Substitute  value of c in equation of line.

       [tex]y=\frac{3}{4}x+\frac{17}{4} \\\\\\[/tex]

Thus, the equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]

Learn more about the equation of line here:

https://brainly.com/question/18831322

Answer:

$.03 per second

Step-by-step explanation:

Take the debt and divide by  the number of years

4 , 253 , 335 /5

850667 per day

The divide by how many days in a year

850667/365

2330.594521 per day

Then divide by 24 hours in a day

2330.594521 /24

97.10810502 per hour

Then divide by 60 minutes in an hour

97.10810502/60

1.618468417 per minute

The divide by 60 seconds  in an hour

1.618468417/60

.026974474 per second

$.03 per second

Answer:

5x^4+14x^2+1

Step-by-step explanation:

Hope that helps

Answer:

1/10 or 10%

Step-by-step explanation:

99 possible numbers starting from 10

1,2,3,4,5,6,7,8,9 does not count

99-9=90

90 numbers total

possible numbers with a 0: 9

9/90 = 1/10 = 10%

Answer:

1) False, the point would get flipped diagonally, to -4, 4.

2) True, the point would get flipped diagonally, to -2, 6

3) False, the point would get flipped diagonally, to -3, 1

4) True, the point would get flipped diagonally, to 5, 2

5) True, the point would get flipped diagonally, to 7, 5

6) False, the point would get flipped diagonally, to -9, 3

7) True, the point would get flipped diagonally, to -5, 4

8) True, the point would get flipped diagonally, to 2, 1

Answer:

1. true

2. false

3. true

4. false

5. false

6. true

7. false

8. false

Step-by-step explanation:

DONT TRUST ME ON THESE ANSWERS CAUSE IM NOT 100% SURE :0

Answer:

I think to get used to this I will have to give up what I think is real and take up something else.

Explanation:

The crime novel Monster by Walter Dean Myers tells the story from the point of view of the prime protagonist Steve Harmon through his diary form of writing about his life in prison. Though there is also the omniscient third-person narrator at times, the narration mostly takes place through the voice of Steve Harmon.

The narrative structure of any plot of a story is the order or manner in which the narration of the story takes place/ is done. It may include character, plot, conflict, setting and resolution. And in this particular text/ novel, the function of the narrative structure is best displayed in the line spoken by Harmon, "I think to get used to this I will have to give up what I think is real and take up something else".

Answer:

I think to get used to this I will have to give up what I think is real and take up something else.

Step-by-step explanation:

Answer:

[tex] \boxed{4 \sqrt[8]{ {d}^{3} } } [/tex]

Step-by-step explanation:

[tex] = > 4 {d}^{ \frac{3}{8} } \\ \\ = > 4({d}^{3 \times \frac{1}{8} }) \\ \\ = > 4( {d}^{3} \times {d}^{ \frac{1}{8} } ) \\ \\ = > 4( {d}^{3} \times \sqrt[8]{d} ) \\ \\ = > 4 \sqrt[8]{ {d}^{3} } [/tex]

Answer:

Here you go!

Step-by-step explanation:

There is a 90 degree angle,

An obtuse angle

And an acute angle

Right angle (EFH)

Acute angle(GFH)

Answer:

First find the area of the rectangle.

length x width = area

160 x 20 = 3200 area of rectangle

150 - 20 = 130

160 - 110 = 50

length x width / 2 = area of triangle

130 x 50 = 6500 / 2 = 3250

3200+3250=6450 square meters

Hope this helps

Step-by-step explanation:

Answer:

17-(- 2 / 5j)

Step-by-step explanation:

16 + (- 5 ) - 2/5j - 4/5 j + 6

    \/                  \/            \/

    11-         ( -2/5j )       + 6

From here you over  the 6 over to the 11

11+6-(-2/5j)

 \/

17-(-2/5j)

It can not be simplified farther I believe

Answer:

relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Step-by-step explanation:

Answer:

Two integers

Step-by-step explanation:

Two integers are relatively prime.

Answer:

17.7 and 4.09

Step-by-step explanation:

Using the sine ratio in both right triangles

(49)

sin43° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{a}{26}[/tex] ( multiply both sides by 26 )

26 × sin43° = a, thus

a ≈ 17.7 ( to 1 dec. place )

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

(50)

sin43° = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 )

6 × sin43° = a , thus

a ≈ 4.09 ( to 2 dec. places )

Step-by-step explanation:

If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.

Answer:

Yes it is possible, given with 4 dots, lets say were set anywhere within a page or anywhere upon a circumference of a circle even. We can draw 4 straight lines to meet each corner and call this a quadrilateral.

Step-by-step explanation:

Squares, Rectangles and Rhombuses are all Parallelograms and squares and rectangles are regular quadrilaterals!

So any other 4 sided shape that is quadrilateral could be made.

The picture below shows all branches of quadrilaterals.

Answer:

No

Step-by-step explanation:

No.

For example, if all 4 dots are on a line, then the 4 dots do not make a quadrilateral.

Answer: No

Answer:

x=-12

Step-by-step explanation:

(-22 + 3x) /( 3x+7) =2

Multiply each side of the equation by 3x+7

-22+3x = 2(3x+7)

Then distribute

-22 +3x = 6x+14

Subtract 3x from each side

-22 = 3x+14

Subtract 14 from each side

-36 = 3x

Divide by 3

-12 =x

Answer:

t^12

Step-by-step explanation:

Because both multiplicands are negative, their product will be positive.  Both multiplicands are to the same base:  t.

Therefore, the product is t^(7 + 5), or t^12.