If one point on a graph is (5,5) and the slope of the line is -4, write the equation of the line in slope-
intercept form.

Answers

Answer 1

Answer:

y = -4x + 25

Step-by-step explanation:

[tex](x_1, y_1) = (5, 5) \ ; \ slope ,\ m = -4[/tex]

Equation of line :

 [tex](y - y_1) = m(x - x_1)[/tex]

 [tex](y - 5) = -4(x-5)\\y - 5 = -4x + 20\\y = -4x +20 + 5\\y = -4x + 25[/tex]

Answer 2

Answer:

0=4x+y-5

Step-by-step explanation:

slope(m)=-4

y-intercept(c)=5

now, the equation joining the straight line satisfy the equation,

y=mx+c

or, y= -4x+5

or, 4x+y-5=0

or, 0=4x+y-5

it is the required equation.


Related Questions

If the area of a rectangle is 36 ina and the length is 9 in, what is the width?

Answers

Answer:

4in

Step-by-step explanation:

The width of the rectangle is

36:9=4

The formula for area is W x L = A

If Length is 9,

9W=36

W=4

5. The Jones family orders four pizzas to eat. Each pizza is sliced into four parts. How many pizza slices do they get in total?​

Answers

Answer:

16 slices

Step-by-step explanation:

Given :

Number of pizzas ordered = 4

Number of slices per pizza = 4

If 4 pizzas are each sliced into 4 parts ; the we have :

Pizza 1 = 4 slices

Pizza 2 = 4 slices

Pizza 3 = 4 slices

Pizza 4 = 4 slices

Total slices = (4 +4 +4 +4) = 16 slices

the product of 2 numbers, p and q, decreased by 3 times their sum. (as an algebraic expression)

Answers

Answer:

3 - (p*q) im not sure lol

Step-by-step explanation:

what is 2.8436 rounded to the nearest thousandth?​

Answers

Answer:

2.844

Step-by-step explanation:

2.8436 is 2.844 when rounded to the nearest thousandth because the ten thousandth digit is 6, which means you round up for 3. Hope this helps!

Answer:

2.84

Step-by-step explanation:

2.8436 is rounded to the nearest thousands we get 2.84

2
D
3
In the diagram above, Z1 = 2x+20 and
Z2 = 3x+10. Find the measure of 21.
Z1 = [ ? 10

Answers

9514 1404 393

Answer:

 ∠1 = 40°

Step-by-step explanation:

Angles 1 and 2 are "alternate interior" angles, so are congruent.

  ∠1 = ∠2

  2x +20 = 3x +10

  10 = x . . . . . . . . . . .  subtract 2x+10 from both sides

The measure of ∠1 is ...

  ∠1 = 2x +10 = 2(10) +20 . . . . . degrees

  ∠1 = 40°

Each graph shown represents a transformation of a parent radical function. Which graphs represent functions with an odd index?

Answers

Answer:

Graphs W and Z

Step-by-step explanation:

Graph of a radical function with even index appears only on one side of the x-axis, while graph of the radical function with odd index appears on both the sides of the x-axis.

Index of the given graphs,

Graph W → Odd index

Graph X → Even index

Graph Y → Even index

Graph W → Odd index

Therefore, graphs W and Z show the radical functions with odd index.

Answer:

The answer is W and Z,  I don't know why people rated it badly.  I just took the practice and got it correct.

Step-by-step explanation:

Find the surface area of the regular pyramid.

Answers

Answer:

D

Step-by-step explanation:

Base perimeter = side x 5 = 4 x 5 = 20 in

LA = (base perimeter x slant height)/2 = (20 x 8)/2 = 80 in^2

SA = base area + LA = 27.5 + 80 = 107.5 in^2

Solve for X - ln (2x-15) = - 3

Answers

Answer will be x=6 your welcome :)

Answer:

-In(2x-15)=-3

ln(2x-15)=3

2x-15=e^3

2x-15=20

2x=35

x=17.5

Pythagorean theorem..

Answers

[tex]{\huge{\underbrace{\bf{\pink{Answer}}}}}[/tex]

Length of missing leg = 12 km

Using Pythagoras theorem

a² = 15² - 9²

a = √ 225 - 49

a = √144

a = 12 km

HOPE IT HELPS..

By using Pythagoras Theorem:-

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

Solving The Question

H²= B²+ P²

[tex]15 {}^{2} = 9 {}^{2} + p {}^{2} \\ \\ p {}^{2} = 15 {}^{2} + 9 {}^{2} \\ \\ p {}^{2} = 225 - 81 \\ \\p {}^{2} = 144 \\ \\ p = \sqrt{144} \\ \\ p = 12[/tex]

Hope This Helps You ❤️

can someone answer this please? I'll give brainlest for correct answer​

Answers

Answer:

xoy = 40º

toy = 140º

zox = 110º

toz = 70º

zoy = 70º

Step-by-step explanation:

There are 18 spaces so each is 180 / 18 = 10º

xoy = 40º

toy = 140º

zox = 110º

toz = 70º

zoy = 70º

Answer:

xoy = 40 degree angle

toy = 140 degree angle

zox = 110 degree angle

toz = 70 degree angle

zoy = 70 degree angle

Step-by-step explanation:

Use protractor to measure. Each mark is equal to 10 degrees.

What is the simplified form of √10,000x64 ?

Answers to choose from:
5000x^64
5000x^8
100x^8
100x^32​

Answers

9514 1404 393

Answer:

  (d)  100x^32

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  √a = a^(1/2)

__

Then ...

  [tex]\displaystyle\sqrt{10000x^{64}}=(10^4\cdot x^{64})^{\frac{1}{2}}=10^{\frac{4}{2}}\cdot x^{\frac{64}{2}}=10^2\cdot x^{32}\\\\=\boxed{100x^{32}}[/tex]

Answer:

Step-by-step explanation:

5000x^8

hey yallll

so i need notes on a discussion about how a deaf persons opinions might vary your own, yes this is for asl. so please if you have the time, can yall have a discussion down below abt this topic?

tysm :)

Answers

Answer:

When someone is deaf they can’t hear, but they still have the ability to see. I believe the main part of living is being able to see, because even if you can’t hear at least you can see and remember the special moments that have occurred in your life. Of course, there are occasions in which it is necessary to hear, but being able to see is something truly valuable for someone because they are able to discover new things with their ability to see. Or maybe you can’t hear your partner tell you that they love you, but at least they can demonstrate it to you and actions speak louder than words in everything.

Step-by-step explanation:

I hope this helped you out

Rewrite the quadratic equation in the form y= a(x - h)2 + k.


y = 5x2 – 30.3 + 95


Y= ?


Answers

Y= 74.7

Lmk if this was right or not.

Complete the remainder of the
table for the given function rule

Answers

Answer:

y = 3

y = 2

y = 1

y = 0

Step-by-step explanation:

Given expression;

y = (-x/3) + 2

Find:

Value of y, if x = -3Value of y, if x = 0Value of y, if x = 3Value of y, if x = 6

Computation:

Value of y, if x = -3

y = (-x/3) + 2

y = (3/3) + 2

y = 3

Value of y, if x = 0

y = (-x/3) + 2

y = (-0/3) + 2

y = 2

Value of y, if x = 3

y = (-x/3) + 2

y = (-3/3) + 2

y = 1

Value of y, if x = 6

y = (-x/3) + 2

y = (-6/3) + 2

y = 0

The domain of a function is what?

Answers

The domain is all possible x values, specified for that function.

explain how to write an equation of a line given the slope and one point on the line

Answers

Explanation: For slope-intercept form (y=mx+b) where m=slope and b=y-intercept, all you need is the slope and the y-intercept to create an equation. Since the slope is already given, you can substitute that value for m. As for the y-intercept, since a point on the line is already given, you can substitute the X and Y values of that point into the equation, replacing y and x in y=mx+b. Then, use normal algebra to solve for b and finalize the equation by substituting it into your current equation. That’s all!

I hope my explanations were clear lol cause I usually suck at explaining :D


Hope this helps シ

Will mark Brainlest please answer. find the value of a,b.
,p,q from the equal order pairs​

Answers

Step-by-step explanation:

Question-1:

by order pair we obtain:

[tex] \displaystyle \begin{cases} \displaystyle 3p = 2p - 1 \dots \dots i\\2q - p = 1 \dots \dots ii\end{cases}[/tex]

cancel 2p from the i equation to get a certain value of p:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - p = 1 \end{cases}[/tex]

now substitute the value of p to the second equation:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - ( - 1) = 1 \end{cases}[/tex]

simplify parentheses:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q + 1= 1 \end{cases}[/tex]

cancel 1 from both sides:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q = 0\end{cases}[/tex]

divide both sides by 2:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\q = 0\end{cases}[/tex]

question-2:

by order pair we obtain:

[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\3y= x + y \dots \dots ii\end{cases}[/tex]

cancel out y from the second equation:

[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\ x = 2y \dots \dots ii\end{cases}[/tex]

substitute the value of x to the first equation:

[tex] \displaystyle \begin{cases} \displaystyle 2.2y-y= 3 \\ x = 2y \end{cases}[/tex]

simplify:

[tex] \displaystyle \begin{cases} \displaystyle 3y= 3 \\ x = 2y \end{cases}[/tex]

divide both sides by 3:

[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2y \end{cases}[/tex]

substitute the value of y to the second equation which yields:

[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2 \end{cases}[/tex]

Question-3:

by order pair we obtain;

[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \dots \dots i\\3q + 2p = 3 \dots \dots ii\end{cases}[/tex]

rearrange:

[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \\2p + 3q= 3 \end{cases}[/tex]

subtract and simplify

[tex] \displaystyle \begin{array}{ccc} \displaystyle 2p + q = 2 \\2p + 3q= 3 \\ \hline - 2q = - 1 \\ q = \dfrac{1}{2} \end{array}[/tex]

substitute the value of q to the first equation:

[tex] \displaystyle 2.p+ \frac{1}{2} = 2[/tex]

make q the subject of the equation:

[tex] \displaystyle p = \frac{3}{4} [/tex]

hence,

[tex] \displaystyle q = \frac{1}{2} \\ p = \frac{3}{4} [/tex]

Answer:

see above

............

Autumn drew a quadrilateral in which the opposite sides are parallel and also have the same length. What type of quadrilateral could Autumn have drawn?

Answers

Answer:

parallelogram. rectangle,

Step-by-step explanation:

Answer:

A parallelogram.

Step-by-step explanation:

Please answer these questions:

solve and simplify:
2/5 divided by 7/8


solve and simplify:
3/4 divided by 6/5


solve and simplify:
3/5 divided by 7/8


solve and simplify:
3/4 divided by 5/6

Answers

Answer

1• 2/5÷7/8

if there is a division sign in between two fractions what u have to do is multiply and, the fraction at the right need to change

=2/5×8/7

=16/35

=0•457

2• 3/4÷6/5

=3/4×5/618/24=0.75

3• 3/5÷7/8

=3/5×8/7

=24/35

=0•6857

4• 3/4÷5/6

=3/4×6/5

=18/20

=0•9

Solve the solution as an ordered pair
X + 9 = y
X = 4y - 6​

Answers

Answer:

-10, -1

Step-by-step explanation:

See Image below:)


The average horse requires 0.0333 Megacalories (Mcal) each day
for every kilogram (kg) it weighs. If your horse weights 665 kg,
and the food you are buying provides 950 kcal per pound of
food, how many pounds of food do you need each day for your
horse?

Answers

Answer:

23.31 pounds of food per day

Step-by-step explanation:

1 mcal = 1000 kcal

0.0333 mcal = x

0.0333 * 1000 = 33.3 kcal of food per kg

A horse which weighs 665 kg ; will this need :

(33.3 *665) = 22144.5 kcal of food per day

Kcal per pound of food purchased = 950 kcal

1 pound = 950 kcal

x pound = 22144.5 kcal

950x = 22144.5

x = 22144.5 / 950

x = 23.31 pounds of food

+12<16
Please with steps :)

Answers

Answer:

0,1,2,3

Step-by-step explanation:

which statement is true?

Answers

Answer:

Function A is less than the y value of Function B

Step-by-step explanation:

The y intercept of Function A is c = 3 [y = -3m + 3]

It's gradient will be m = 3 [ y = -9 + 3] to [y = -6]

Function B

Find the size of the of angle x.

Answers

X = 80 degrees

Total degrees in any triangle = 180
Angles given = 65 + 35 = 100
X = 180-100 = 80

Answer:

80 degrees

Step-by-step explanation:

Since a triangle is 180 degrees

you then add to 2 degrees given and subtract it from 180

65+35=100

180-100=80 degrees

PLEASE HELP ASAP PLS !!! WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT !!! you’ll get blessed with 10 years of good luck

Answers

Answer:  Choice C

Perpendicular because the slopes are negative reciprocals of each other.

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

Explanation:

Use the slope formula to find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (-1-(-2))/(4-8)

m = (-1+2)/(4-8)

m = 1/(-4)

m = -1/4

The slope of line AB is -1/4

Repeat those steps for line CD

m = (y2-y1)/(x2-x1)

m = (-9-11)/(-2-3)

m = (-20)/(-5)

m = 4

The slope of line CD is 4

---------

The slopes of AB and CD are -1/4 and 4 respectively.

We can see that the two slopes are negative reciprocals of each other. Meaning that one slope will have us flip the fraction and the sign to form the other slope, and vice versa. Therefore, the two lines are perpendicular.

One useful property is that perpendicular slopes like this multiply to -1

(-1/4)*(4) = -1

---------

Side note: If the slopes were equal, then the lines would be parallel (assuming the two lines have different y intercepts).

Answer:

perpendicular because the slopes are negative reciprocals of each other

Step-by-step explanation:

Vector AB (8-4, -2 - -1) = AB(4, -1)

Vector CD(3- -2, 11- -9) = CD(5, 20)

Dot product of AB.CD = (4,-1).(5,20) = 4*5+(-1)*20 = 20-20 = 0 => perpendicular

a rectangular field is 454 times as long as it is wide if the perimeter of the field is 540 yd what are the field dimensions ​

Answers

Answer:

WIDTH= 54yd, LENGTH= 216 yd

Step-by-step explanation:

Length can be denoted as L

Width can be denoted as W

From the question,

(L= 4W) ........... eqn(1)

But perimeter = [(2L + 2W)]........eqn(2)

Substitute eqn(1) into (2)

Perimeter= (8W + 2W) = 10W

From the question,

perimeter= 540 yd

540=10W

W=(540/10)= 54

W= 54 yd

Hence, WIDTH= 54yd

From equation (1) substitute W= 54 yd

(L= 4W)

L= (4×54)

L= 216 yd

Hence, LENGTH= 216 yd

The dimensions are WIDTH= 54yd, LENGTH= 216 yd


Solve the equation for all real solutions.

X^2 + 11z +9 = 5z

Someone help plz ):

Answers

Answer:

[tex]z = -3[/tex]

Step-by-step explanation:

Given

[tex]z^2 +11z+9 = 5z[/tex] --- the correct equation

Required

Solve

Equate to 0

[tex]z^2 +11z-5z+9 = 0[/tex]

[tex]z^2 +6z+9 = 0[/tex]

Expand

[tex]z^2 +3z+3z+9 = 0[/tex]

Factorize

[tex]z(z +3)+3(z+3) = 0[/tex]

Factor out z + 3

[tex](z +3)(z+3) = 0[/tex]

Split

[tex]z + 3 =0[/tex] --- twice

[tex]z = -3[/tex]

answer for brainlest pls

Answers

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 7 in.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The area of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:area \:of\:the\:circle\:is\:154\:in².}[/tex]

A. 154 inches squared.

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]

[tex] = \frac{22}{7} \times 7 \times 7 \: {in}^{2} \\ \\ = 22 \times 7 \: {in}^{2} \\ \\ = 154 \: {in}^{2} [/tex]

[tex]\boxed{Therefore,\:the\:area\:of\:the\:circle\:is\:154\:in².}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Express 0.02 as a percent.

Answers

Answer:

2 Percent or %

Step-by-step explanation:

The decimal 0.02 would be equivalent to 2 percent, or 2 per hundred.

Answer:

0.02 is 2 percent as a percent

In triangle CAT, points DOG......

Answers

9514 1404 393

Answer:

  46 units

Step-by-step explanation:

Each midline is half the length of the parallel side of ΔCAT. This tells us ...

  TO = AO = DG = 10

  AD = GO = 7

  GT = DO = 9

The perimeter of the trapezoid is ...

  TA +AD +DG +GT = (TO+OA) +AD +DG +GT

  = (10 +10) +7 +10 +9 = 46

The perimeter of the trapezoid is 46 units.

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