Explain why it makes sense that a system of two lines with equal slopes but different y-intercepts has no solutions.

Answer:

The question is written kinda bad, so i take the next two assumptions:

The original line is:

y = 5*x + 23

And we want to find a perpendicular line that passes through the point (-40, 2012)

Suppose that we have a linear equation:

y = a*x + b

A perpendicular line to this one, will have a slope equal to -(1/a)

Then a random perpendicular line to the one above, is:

y = -(1/a)*x + c

In this case, we start with the line:

y = 5*x + 23

Then the family of perpendicular lines to this one, will be like:

y = (-1/5)*x + c

Where c can be any real number.

Now, we also want this line to pass through (-40, 2012)

This means that when x = -40, the value of y must be 2012

We could replace these values in our equation above and solve it for c.

2012 = -(1/5)*(-40) + c

2012 = 40/5 + c

2012 = 8 + c

2012 - 8 = c = 2004

Then the equation is:

y = -(1/5)*x + 2004.

Answer:

(15+3)/6= the input

18/6= 3

since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:

6*3= 18

and 18-3= 15 so it checks out.

Step-by-step explanation:

I hope this helps :)

Answer:

There's 9 nickels and no dimes

Step-by-step explanation:

the quarters equal $2.25

so there is at least 9 nickel's witch equals .45 cents add them and get $2.70 so

The system of equations to find the number of quarters, 9, dim, d, and nickels, n, that Gabby has are;

Since, the total value of quarters, dim, and nicke is; $2.70.

Since the number of nickels that she has is equal to the number of quarters plus the number of dimes; we have;

Since, Gabby has 20 coins in her pocket.

Therefore 2n = 20 from n = q + d

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Answer:

y = 34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

you would add 4 to both sides and get

102=3y

then you would divide by three and get

34=y

Answer:

left, hope this helps

Step-by-step explanation:

Answer:

whats the question?

Step-by-step explanation:

Answer:

do u have to find the pattern?

Step-by-step explanation:

Answer:

Segment EG ≅ segment EG by the reflexive property.

Step-by-step explanation:

In the diagram given, already, two angles (<H and <HEG) of ∆HEG has been stated to be equal to two corresponding angles (<F and <FGE) of ∆FGE.

To prove that ∆HEG is congruent to ∆HEG by the Angle-Angle-Side Congruence Theorem, we need to state that they also have one corresponding side that is congruent.

Therefore, the statement and reason that will complete the proof would be:

Segment EG is congruent to segment EG by the reflexive property.

Both triangles share the same segment, EG. This completes the proof.

Answer:

2 events are described.

Step-by-step explanation:

Because only three types of cones and 31 flavours of ice cream.

Answer:

15 windflower bulbs

19 daffodil bulbs

Step-by-step explanation:

Given

Represent windflower with W and daffodil with D.

So:

Mary's sales is:

10W + 4D = 226 --- (1)

Darryl's sales is:

6W + 4D = 166 ---- (2)

Required

Solve for W and D

We'll make use of elimination method.

Start by subtracting (2) from (1)

10W - 6W + 4D - 4D = 226 - 166

4W = 60

Multiply both sides by ¼

¼ * 4W = 60 * ¼

W = 60 * ¼

W = 15

Substitute 15 for W in (1)

10W + 4D = 226

10 * 15 + 4D = 226

150 + 4D = 226

Collect like terms

4D = 226 - 150

4D = 76

Multiply both sides by ¼.

¼ * 4D = 76 * ¼.

D = 19

Answer:

hii hope it helps

Step-by-step explanation:

sorry for these pics

Answer:

Steps below

Step-by-step explanation:

(3/x²)+ 2/x =1   (x ≠ 0)

(3/x²) + 2x/x² = 1

(3 + 2x) / x² = 1

3 + 2x = x²

x² - 2x - 3 = 0

(x + 1) (x - 3) =0

x = -1 or x = 3

Answer:    3/5

Step-by-step explanation:

Fist find  out how many whites are there and divide it by the total to find the probability.

9/15   simplify it to  3/5

Step-by-step explanation:

Let x be the height of the screen.

Using Pythagoras' Theorem,

we have x² + 16² = 24².

Therefore x² = 24² - 16² = 320,

x = √320 = 8√5 in.

The height of the screen is 8√5 inches.

Answer:

1/25

Step-by-step explanation:

1/25 is simplified, as 1 and 25 have no common factors.

(Unless you're saying 1/5 * 1/5?)

Fraction 1/25 is Already in its simplest form. It may be expressed in decimal form as 0.04

To simplify the fraction, we have to divide the numerator and denominator by their greatest common divisor (GCD).

Do the factorization of numerator and denominator

1 can be written as [tex]1\times1[/tex]

And 25 can be written as [tex]1\times5\times 5[/tex].

After factorization, we see that 1 is the greatest factor, which is common in both.

Divide the numerator and denominator by their greatest common divisor (1).

[tex]\dfrac{1 \div 1}{25\div1}[/tex]

[tex]=\dfrac{1}{25}[/tex]

Hence, 1/25 can not be further simplified.

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Answer:

n = a + 99

Step-by-step explanation:

Given that :

a = number of pages in algebra book 1

n = number of pages in geometry book

a = n - 99

The number, n of pages in a geometry book is ;

Pages in algebra book = (pages in geometry book - 99)

a = n - 99

a + 99 = n - 99 + 99

a + 99 = n

Answer:

400:2500 , 40:250 ,and 4:25

Answer:

there are a total of 20 boys and 30 girls in the choir of 50 students

Step-by-step explanation:

Scale the ratio 2:3. so that the numbers on either side sum to 50 . 2+3=5 , and 50÷5=10 , so we scale our ratio by a factor of 10 . So there are a total of 20 boys and 30 girls in the choir of 50 students

Answer:

x=-16

Step-by-step explanation:

2/3x+1=1/6x-7.

Subtract 1/6x.

1/2x+1=-7

subtract 1.

1/2x=-8

divide by 1/2.

x=-16.

Hope this helps plz hit the crown :D

Step-by-step explanation:

[tex] \frac{2}{3} x + 1 = \frac{1}{6}x - 7 \\ \frac{4}{6} x - \frac{1}{6} x = - 7 - 1 \\ \frac{3}{6} x = - 8 \\ \frac{1}{2} x = - 8 \\ \boxed{ x = - 16}[/tex]

Answer:

$7

multiply .07 times 100

Answer: 27

Step-by-step explanation: since the ratio is 1:3 u mutiply

1 by 9 which equals nine and then u multiply 3 by 9 and u get 27. This should be right I am sorry if it isn't.

Answer:

C. x = 50

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

its C. im doing test to i saw different page

Step-by-step explanation:

diff pge

9514 1404 393

Answer:

  -190

Step-by-step explanation:

The n-th term of an arithmetic (linear) sequence is given by ...

  an = a1 +d(n -1)

where a1 is the first term (8) and d is the common difference. We note that each term is 2 less than the one before, so the common difference is -2.

  an = 8 -2(n -1)

Then the 100th term is ...

  a100 = 8 - 2(100 -1) = 8 -198 = -190

The 100th term is -190.

The probability of picking a chocolate chip cookie is 1/3.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A box contains 5 chocolate chip cookies, 4 sugar, and 6 oatmeal raisin.

N represents no. of.

So, N(S) = 5 + 4 + 6 = 15.

N(CC) = 5, N(SR) = 4 and N(OR) = 6.

∴  The probability of picking a chocolate chip cookie is = N(CC)/N(S).

= 5/15.

= 1/3.

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Answer:

4:3

Step-by-step explanation:

Step 1: Cross-multiply.

15 /x = 5 /6

(15)*(6)=5*x

90=5x

Step 2: Flip the equation.

5x=90

Step 3: Divide both sides by 5.

5x /5 = 90 /5

x=18

Answer:

x=18

Answer:

x=18

Step-by-step explanation:

divide 15 by 5/6= 15 times 6/5, simplify, 3 times 6, simplify, 18

give the other person brainliestt

Answer:

£450

Step-by-step explanation:

12%=£54

100%=?

we will criss cross it then 12%×?=100%×£54÷12

=£450

Answer:

gradient = - 5

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5