solve the equation for all real solutions

4q^2-4q+1=0

This is equivalent to y = 3x+4 (slope intercept form)

By "standard form", I mean the form Ax+By+C = 0.

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

Explanation:

Let's solve the first equation for y

x+3y-4 = 0

x+3y = 4

3y = 4-x

3y = -x+4

y = (-x+4)/3

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

y = (-1/3)x + (4/3)

The equation is now in y = mx+b form, aka slope intercept form, with m = -1/3 as the slope and b = 4/3 as the y intercept. We'll focus on the slope.

Apply the negative reciprocal to this so that we go from -1/3 to +3/1 or simply 3. Flip the fraction and the sign. Note how -1/3 and 3 multiply to -1. Perpendicular slopes always multiply to -1, assuming neither line is vertical.

So this mystery perpendicular line we're after has a slope of 3.

It has the same y intercept as 2x+5y-20 = 0. Plug in x = 0 and solve for to determine the y intercept.

2x+5y-20 = 0

2(0)+5y-20 = 0

5y-20 = 0

5y = 20

y = 50/5

y = 4

The y intercept of 2x+5y-20 = 0 is y = 4, so it's also the y intercept of our final answer. Let b = 4.

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

We found that:

So we know that,

y = mx+b

y = 3x+4

is the slope intercept form of the answer. Since your teacher gave you the equations in standard form (one version of it anyway), let's convert y = 3x+4 to that form as well

y = 3x+4

y-3x = 4

-3x+y = 4 .... one way to express standard form

-3x+y-4 = 0 .... another standard form

Some math textbooks use Ax+By = C as standard form, while others use Ax+By+C = 0. Unfortunately, it's a bit confusing because the same phrasing is used.

Answer:

Girl i dont know im so sorry

Step-by-step explanation:

good luck on ur assignment tho xoxo

Answer:

68

Step-by-step explanation:

A P E X

Answer:

The answer is below

Step-by-step explanation:

The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.

Firstly we have to convert the model length and width from inches to feet.

1 feet = 12 inches

model length =  1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.

model width =  1/6 in. = 1/6 in * (1/12) ft./in = 1/72 ft.

Therefore:

Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8

Ratio of model length to actual length of tile = (1/72 ft.) / (1/9 ft.) = 1 / 8

Area of model tile = length * width = 1/48 ft. * 1/72 ft. = 1/3456 ft²

Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²

Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64

Answer:

1. 69

2. 198

3. 50

use subtraction and addition

Answer:

11h +5x

Step-by-step explanation:

6h + 5(x + h)

Distribute

6h + 5x+ 5h

Combine like terms

11h +5x

Answer:

[tex]\frac{1}{4} \div 3 = \frac{\frac{1}{4} }{3} = \frac{1}{12}[/tex]

Answer:

1/12

Step-by-step explanation:

1/4 / 3/1

1*1/4*3

= 1/12

Answer:

A

Step-by-step explanation:

The line has to go down when x move to the right due to the negative slope. So B and C cannot be right.

The line has to pass through (0,3), that's the y-intercept, so A and D can still both be right.

For every step to the right, the line has to move 2 down (slope -2). Only A does that. D moves 0.5 down for every step to the right.

Answer:

7.96 cm

Step-by-step explanation:

radius of bottom: 19/2 = 9.5

area of bottom = pi * r^2 = 283.53

height * base area = volume

Answer:

x^2 = 10

x = square root symbol with 10 underneath

Or x = 3.16227 (round to appropriate place)

—————

x^3 = 316

x = cubed root symbol with 316 underneath

or x = 6.81128 (round to appropriate place)

I answered them two different ways, because sometimes your teacher wants you to leave it under the square root or cube root symbol, when it can’t be solved to an exact integer.

Answer:

Answer is 7/10 × 5/8

Step-by-step explanation:

only answer which is under 5/8ths being 7/16 :)

Answer:

7/10x5/8

Step-by-step explanation:

7/10x5/2=7/16

4/3x5/8=5/6

9/7x5/8=45/56

3/2x5/8=15/16

Answer:    0.5 liquid gallon

Step-by-step explanation:      Have a great day

Answer:

Step-by-step explanation:

42 > 24

24 < 42

Step-by-step explanation:

The path followed by the ball as a function of time is given by :

[tex]h=-16t^2+vt+h[/tex]

Where

v is initial velocity and h is initial height,

v = 4.3 cm/s = 0.043 m/s and h = 14 cm = 0.14 m

The equation becomes,

[tex]h=-16t^2+0.043t+0.14[/tex] ....(1)

It is a quadratic equation,

t = 0.095 s

Put the value of t in equation (1).

[tex]h=-16(0.095)^2+0.043(0.095)+0.14\\\\h=-0.000315\ m[/tex]

or

h = -0.00103 ft (negative sign shows height is in negative direction)

Answer:

The answer is "12 times, a die was rolled. Identify the complete possibilities to roll exactly 6".

Step-by-step explanation:

Using formula:

[tex]P(X=K)=\binom{N}{K} P^{K} a^{N-K}[/tex]

So the value is [tex]P(X=6)[/tex]

Answer:

12barras

Step-by-step explanation:

Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?

De la pregunta anterior:

4 personas = 2 barras de pan

24 personas = x

Multiplicar cruzada

4 × x = 24 × 2 barras de pan

x = 24 × 2 barras de pan / 4

x = 12 barras de pan

Answer:

The minimum number of hours is 43.

Step-by-step explanation:

Total money required = $ 800

Saved money = $ 290

Per hour income = $ 12

Let the number of hours be n.

According to the question

[tex]290 + 12n \geqslant 800\\\\12 n \geqslant 510\\\\n\geqslant 42.5[/tex]

So, the minimum number of hours is 43.

Answer:

800 - 290 = 510.  510 = 12h

Step-by-step explanation:

$800 is the amount he is trying to save.

$290 is the amount he has so far.

$800 - $290 = $510.

$510 is the amount more he needs to earn.

12h.

12 represents the amount he is paid every 1 hour

H represents the hours he works.

Answer:

y - 1 = 3/2(x - 4)

Step-by-step explanation:

plug in the given(known) x and y coordinates into the point-slope form:

=> y - 1 = 3/2(x - 4)

Answer:

6 x 5 x 1/2(divide by 2) = 15, 15 x 2(two triangles) = 30

27 x 6 = 162 (area of base)

27(width) x 6(height) x 2(two rectangles on both slanted sides) = 324

Add given areas:

30 + 162 + 324 = 516 ft2 is your answer.

Answer:

$227 + $24w

Step-by-step explanation:

Initial balance = $227

Amount deposited per week = $24

Amount in account after w weeks

Total amount = initial balance + total weekly deposit

Total Weekly deposit = $24 * number of weeks

Number of weeks = w

Hence,.

Total deposit = $227 + $24w

Answer:

sue = 12

lily = 10

heather = 5

Step-by-step explanation:

'l' = lily's age

'h' = heather's age

sue = 'l + 2' but, since 'l' is 2h we can say sue's age is '2h+2'

l = 2h

2h+2 + 2h + h = 27

5h = 25

h = 5

l = 2(5) = 10

sue is 10+ 2, or 12

Answer:

Q1. A. 209.8

Q2. B. 313.6

Q3. 448.22 (not in ur options)

Step-by-step explanation:

Answer:

564643

Step-by-step explanation:

Answer:

In the real number system, there is no solution to the equation x^2=-1x

2

=−1x, squared, equals, minus, 1. In this lesson, we will study a new number system in which the equation does have a solution.

The backbone of this new number system is the number iii, also known as the imaginary unit.

i^2=-1i

2

=−1i, squared, equals, minus, 1

\sqrt{-1}=i

−1

​

=isquare root of, minus, 1, end square root, equals, i

By taking multiples of this imaginary unit, we can create infinitely many more new numbers, like 3i3i3, i, i\sqrt{5}i

5

​

i, square root of, 5, end square root, and -12i−12iminus, 12, i. These are examples of imaginary numbers.

However, we can go even further than that and add real numbers and imaginary numbers, for example 2+7i2+7i2, plus, 7, i and 3-\sqrt{2}i3−

2

​

i3, minus, square root of, 2, end square root, i. These combinations are called complex numbers.

Defining complex numbers

A complex number is any number that can be written as \greenD{a}+\blueD{b}ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i, where iii is the imaginary unit and \greenD{a}astart color #1fab54, a, end color #1fab54 and \blueD{b}bstart color #11accd, b, end color #11accd are real numbers.

\begin{array}{ccc} \Large\greenD a&\Large+&\Large \blueD bi \\ \uparrow&&\uparrow\phantom{i} \\ \text{Real}&&\text{Imaginary} \\ \text{part}&&\text{part} \end{array}

a

↑

Real

part

​

+

​

bi

↑i

Imaginary

part

​

\greenD aastart color #1fab54, a, end color #1fab54 is called the \greenD{\text{real}}realstart color #1fab54, start text, r, e, a, l, end text, end color #1fab54 part of the number, and \blueD bbstart color #11accd, b, end color #11accd is called the \blueD{\text{imaginary}}imaginarystart color #11accd, start text, i, m, a, g, i, n, a, r, y, end text, end color #11accd part of the number.

The table below shows examples of complex numbers, with the real and imaginary parts identified. Some people find it easier to identify the real and imaginary parts if the number is written in standard form.

Complex Number Standard Form \greenD a+\blueD b ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i Description of parts

7i-27i−27, i, minus, 2 \greenD {-2}+\blueD 7i−2+7istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 7, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 77start color #11accd, 7, end color #11accd.

4-3i4−3i4, minus, 3, i \greenD 4 + (\blueD{-3})i4+(−3)istart color #1fab54, 4, end color #1fab54, plus, left parenthesis, start color #11accd, minus, 3, end color #11accd, right parenthesis, i The real part is \greenD{4}4start color #1fab54, 4, end color #1fab54 and the imaginary part is \blueD{-3}−3start color #11accd, minus, 3, end color #11accd

9i9i9, i \greenD 0+\blueD9i0+9istart color #1fab54, 0, end color #1fab54, plus, start color #11accd, 9, end color #11accd, i The real part is \greenD{0}0start color #1fab54, 0, end color #1fab54 and the imaginary part is \blueD 99start color #11accd, 9, end color #11accd

-2−2minus, 2 \greenD {-2}+\blueD0i−2+0istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 0, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 00start color #11accd, 0, end color #11accd

Step-by-step explanation:

plz brian list and allways happy to help.

Answer:

The answer is below

Step-by-step explanation:

The correct question is attached.

Two quantities are said to be proportional if as one quantity increases, the other quantity increases. Also, as one quantity decreases, the other quantity decreases.

Given the lines A, B and C. The constant of proportionality can be gotten by  getting the equation of the line.

Line A passes through (0,0) and (1, 5). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{1-0}(x-0)\\\\y=5x[/tex]

The constant of proportionality between y and x is 5.

Line B passes through (0,0) and (3, 5). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{3-0}(x-0)\\\\y=\frac{5}{3} x[/tex]

The constant of proportionality between y and x is 5/3.

Line C passes through (0,0) and (3, 2). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{2-0}{3-0}(x-0)\\\\y=\frac{2}{3} x[/tex]

The constant of proportionality between y and x is 2/3.

Answer:

line c

Step-by-step explanation:

Answer:

you have to add all the angles of a triangle so the value of m is 6

Answer: 11

Step-by-step explanation:

Given

The equation of the line [tex]y=4x-1[/tex] passes through the point [tex](3,p)[/tex]

So, point must satisfies the line i.e.

[tex]\Rightarrow p=4(3)-1\\\Rightarrow p=12-1\\\Rightarrow p=11[/tex]

Therefore, the value of p is 11.

Answer:

Which answer do you need

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming you meant

570=(x+23)

570-23=x

547 = x

Answer:

c

Step-by-step explanation:

An input can only have one output.

Answer:

292.5

Step-by-step explanation:

1/2*13(20cm+25cm)