Which is the equation of a line that has a slope of -5 and a y-intercept of -3? Show me how you arrived at your answer.
a) 2y = -5x - 3
b) -2y = 10x - 6
c) -2y = 10x + 6
d) 2y = 10x - 6 ​

Answers

Answer 1

Answer:

c) -2y = 10x + 6

Step-by-step explanation:

The equation of a line in slope-intercept form is:

[tex]y=mx+b[/tex]

The variables stand for:

[tex]y:$ y-coordinate of any point on the line\\$x:$ x-coordinate of any point on the lien\\$m: $ Slope of the line\\$b: $ y-intercept of the line; where the line meets the y-axis[/tex]

Plugging in the given information into the equation:

[tex]y=-5x+(-3)\\y=-5x-3[/tex]

Go through the answer choices:

a)  2y = -5x - 3

Divide both sides of the equation by 2

[tex]y=-\frac{5}{2}x-\frac{3}{2}\rightarrow\text{Incorrect!}[/tex]

b) -2y = 10x - 6

Divide both sides of the equation by -2

[tex]y=\frac{10}{-2}x-\frac{6}{-2}\\y=-5x-(-3)\\y=-5x+3\rightarrow\text{Incorrect!}[/tex]

c) -2y = 10x + 6

Divide both sides of the equation by -2

[tex]y=\frac{10}{-2}x+\frac{6}{-2}\\y=-5x+(-3)\\y=-5x-3\rightarrow\text{Correct!}[/tex]

d) 2y = 10x - 6

Divide both sides of the equation by 2

[tex]y=\frac{10}{2}x-\frac{6}{2}\\y=5x-3\rightarrow\text{Incorrect!}[/tex]

Therefore the answer is c) -2y = 10x + 6

Additional Comments:

We can only divide both sides of the equation by 2 and/or -2 because of the Division Property of Equality. This property states that if we divide one side of the equation by a certain quantity, we must divide the other side by the same quantity so that the equation remains equal.


Related Questions

Please help me ASAP

Answers

Answer:

109

Step-by-step explanation:

the sum of 37 and 72 is equal to x

proof:  

37+72 = 109

three angles of a triangle form 180 degree

to find the angle which is not given,

180 - 109  = 71

as you can see, angle with the measure 71 degree and angle x form a straight line, which means their sum is 180

so,

x = 180 - 71

x = 109

that means ,

=>    37+72 = x

=>    109 = 109            [ 37+72 = 109, x = 109]

hope this helps :)

Answer:

Option D is correct answer that is 109° .

Step-by-step explanation:

Question : -

Find the value of x in this triangle .

Given : -

Angle 1 = 37°

Angle 2 = 72°

Angle 3 = y° ( We are assuming it as y )

Angle 4 = x°

To Find : -

We have to find the value of x .

Solution : -

We know that sum of all the interior angles of triangle is equal to 180° . Then ,

Angle 1 + Angle 2 + Angle 3 = 180°

37° + 72° + Angle 3 = 180°

109° + Angle 3 = 180°

Angle 3 = 180° - 109°

Angle 3 = 71°

Therefore , Angle y = 71° .

Now , We know that Angle 3 and Angle 4 is equal to 180° because they are Linear pair . So ,

Angle 3 ( y )+ Angle 4 ( x ) = 180°

71° + x° = 180°

x° = 180° - 71°

= 109°

Therefore , value of Angle x is 109° .

#[tex] \rm{Keep \: Learning}[/tex]


Lila is ordering photos online. Each photo costs $0.08, and there is a shipping charge of $4.00.
How many photos can Lila order for $20?

Answers

Answer:

4 almsot 5. The exact answer is 4.90196078431

Step-by-step explanation:

each photo cost $4.08 with shipping. 20 dvided by 4.08 is 4.90196078431. But since you cant order 0.9 of a photo Lila can order only 4.

What is the difference between surface area and lateral surface area?​

Answers

Answer:

Surface area is the sum of all areas/faces of a solid, INCLUDING bases.

Lateral surface area is the surface area of a solid WITHOUT bases.

hope this helps :)

PLS HELP ASAPPPPP!!!!!

Answers

Answer:

first you write number 4,second the frequency you write number 5...for this data

EZ POINTS!!!!!! explain how you divide 72 by 9.

Answers

Answer:

8

Step-by-step explanation:

Take 72 and put it over 9. In other words, split 72 into 9 groups. Your answer will be 8, btw.

Thanks for the points. Hope it helps :)

Answer:

9\72=8

Step-by-step explanation:

9x8=72

  _08_

9|   72

 -   72

-----------

   0

please mark brainliest

PLEASE ANSWER QUICKLY!


The figure shows a right prism.


1. What is the volume of the figure?


2. If the dimensions of the prism are decreased by a factor of 1/4, how will the volume of the new prism compare to the volume of the original prism? (ANSWER IN A SIMPLIFIED FRACTION).
The volume of the prism is decreased by a factor of: ______

Answers

1. 5x2x2 = 20 cm^3. I will answer the rest in the comments

Marco picked 8 1/2
pounds of apples at an orchard last weekend. He used
1/4
of the apples to make a pie for a party. Then, he used 3 1/8
pounds of apples to make applesauce. How many pounds of apples does Marco have left?

Answers

Answer:

3 1/4 pounds

Step-by-step explanation:

Marco starts with 8 1/2 pounds, to make things easier rewrite it as 8.5.

He uses 1/4 (or .25) of the apples. 8.5 * .25 = 2.125. Subtract this 2.125 from the 8.5 since it's what's being used. 8.5 - 2.125 = 6.375

Then he uses 3 1/8 (or 3.125) pounds. Subtract 3.125 from the 6.375 we got previously to get 3.25.

Marco has 3.25 pounds left which can be rewritten as 3 1/4 pounds.

Isaac made 2 quarts and 1 cup of cupcake batter. If 6 ounces of butter make one cupcake, And Isaac is making 10 cupcakes,How much batter will be left over.

Answers

Answer:

The Answer is 1 cup and 4 oz, I'm sorry if incorrect..>~<

Answer:

The Answer is 1 cup and 4 oz.

Step-by-step explanation:

2qts + 1cup equals 72 oz. 6oz x 10=60oz.

72 oz - 60 oz = 12 oz. 1 cup and 4 oz.

which of the following is a polynomial function in factored from with zeros at 0, -3, and 4?​

Answers

The answer would be: f(x) = x(x + 3)(x – 4)

According to a survey of workers 6/50 of them walk to break 3/50 bike 10/50 carpool and 31/50 Drive alone what percent of workers walk or bike to work

Answers

Answer:

Step-by-step explanation:

6+3=9/50

9/50 x  100=18 percent

please please help me

Answers

Answer:

A. 36

Step-by-step explanation:

Right triangle angles in degrees always add up to 180° degrees. In addition, it must have a right angle (hence the name right triangle), which is 90 degrees.

Given the angle in degrees is 54, we can add 90 and 54 and subtract it from 180 to find the missing angle.

[tex]54+90=144[/tex]

Now, subtract from 180.

[tex]180-144=36[/tex]

Therefore, the degrees of the missing angle is 36.

#LearnWithBrainly

i will give 100 points

Answers

Part A

(√6)² x (√2)²6 x 212

Part B

(∛3)³ x (√12)²3 x 1236

Addtional Information:

[tex]\bold{(\sqrt{x} )^2 = x}[/tex]

[tex]\bold{(\sqrt[3]{x} )^3 = x}[/tex]

Answer:

(a)  12

(b)  36

Step-by-step explanation:

Knowledge check: [tex]\sqrt{x} =\sqrt[2]{x}[/tex]

Apply the exponent rule:

[tex](\sqrt[n]{x})^n=x\quad\textsf{if}\:n\:\textsf{is odd or}\:x\geq 0[/tex]

Question (a)

[tex](\sqrt{6})^2 \times (\sqrt{2})^2=6 \times 2=12[/tex]

Question (b)

[tex](\sqrt[3]{3})^3 \times (\sqrt{12})^2=3 \times 12=36[/tex]

What is the value of the x-coordinate of point A?

Answers

-0.75 is x coordinate
A coordinate : (-0.75, -0.5)

Name two sides that appear to be parallel

Answers

Step-by-step explanation:

These are sides that will never meet and are always the same distance apart. Some shapes that have parallel sides include the parallelogram, the rectangle, the square, the trapezoid, the hexagon, and the octagon.

(27-241)¹⁵

please someone answer this asap!!1

Answers

Answer:

Phhshh- Ez
It's: -90407945526160061369845453076660224 or for factor: (In image below

Step-by-step explanation:

(27−241)

15

Subtract 241 from 27 to get −214.

(−214)

15

Calculate −214 to the power of 15 and get −90407945526160061369845453076660224.

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

7.093 cm

Step-by-step explanation:

[tex]4.5^2+x^2=8.4^2[/tex]

[tex]20.25+x^2=70.56[/tex]

[tex]x^2=50.31[/tex]

[tex]\sqrt{50.31}= 7.093[/tex]

Dante is solving the system of equations below.
r+S-=-4
2r-35+=1
3r-2s+21= 3
He writes the row echelon form of the matrix. Which matrix did Dante write?

Answers

Answer:

The answer is the first matrix. Image attached.

Step-by-step explanation: Given that Dante is solving the system of equations:

In solving the above system of equations, Dante writes the row echelon form of the matrix. We are to select the correct row echelon of the matrix that he wrote.

We know that a matrix is said to be in row echelon form if the leading entry in each nonzero row is a 1 and each column containing a leading 1 has zeros everywhere else.

In the given options, these conditions are satisfied by the first option only. And also, if we write the solution from this matrix, we will have

r = -1,  s = 0  and  t = 3.

If we substitute these values in the given system, it will get satisfied.

Thus, the first matrix, attached herewith, is the correct matrix.

This is the number in standard form: 500,802,009,612



What is the number in expanded form?

Answers

500,000,000,000
+ 0
+ 0
+ 800,000,000
+ 0
+ 2,000,000
+ 900,000
+ 90,000
+ 0
+ 600
+ 10
+ 2



Expanded Factors Form:
500,802,990,612 =
5 × 100,000,000,000
+ 0 × 10,000,000,000
+ 0 × 1,000,000,000
+ 8 × 100,000,000
+ 0 × 10,000,000
+ 2 × 1,000,000
+ 9 × 100,000
+ 9 × 10,000
+ 0 × 1,000
+ 6 × 100
+ 1 × 10
+ 2 × 1


Expanded Exponential Form:
500,802,990,612 =
5 × 1011
+ 0 × 1010
+ 0 × 109
+ 8 × 108
+ 0 × 107
+ 2 × 106
+ 9 × 105
+ 9 × 104
+ 0 × 103
+ 6 × 102
+ 1 × 101
+ 2 × 100

Word Form:

500,802,990,612 =
five hundred billion eight hundred two million nine hundred ninety thousand six hundred twelve

An exam has two papers. Anil scores 22 out of 80 on paper 1 and 75 out of 100 on paper 2. Work out his percentage score for the exam.​

Answers

Answer:

53.89%

Step-by-step explanation:

total no. obtainable = 80 + 100 = 180

total scores acquired = 22 + 75 = 97

percentage = (total acquired/total possible) × 100

= (97/180) × 100

= 53.89 %

I’m posting a lot of these until I reach 90 on ixl, please bear with me lol

Answers

Answer = 327.5 ft2
Solution in picture

Answer:

327.5 feet²

Step-by-step explanation:

Let's divide the figure into multiple shapes (Refer to image). To determine the area of the figure, we need to find the area of the divided shapes, then sum it up to obtain the area of the figure.

Determining the area of the triangle:

Given dimensions:

Height = 11 feet

Determining the base of the triangle:

[tex]22 + b + 5 = 7 + 8 + 17[/tex]

[tex]27 + b = 32[/tex]

[tex]b = 32 - 27[/tex]

[tex]b = 5 \ \text{ft}[/tex]

Substituting the base and the height:

[tex]\text{Area of triangle} = \frac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\text{Area of triangle} = \frac{1}{2} \times 5\times11[/tex]

Simplifying the R.H.S to determine the area:

[tex]\text{Area of triangle} = 5\times5.5[/tex]

[tex]\text{Area of triangle} = 27.5 \ \text{ft}^{2}[/tex]

Determining the area of rectangle₁

Given dimensions:

Length = 17 feetBreadth = 5 feet

Substitute the length and the breadth:

[tex]\text{Area of rectangle}_{1}} = LB[/tex]

[tex]\text{Area of rectangle}_{1}} = (5)(17)[/tex]

Simplify the R.H.S to determine the area:

[tex]\text{Area of rectangle}_{1}} = 85 \ \text{feet}[/tex]

Determining the area of rectangle₂

Given dimensions:

Length = 5 + 7 feetBreadth = 8 feet

Substitute the length and the breadth:

[tex]\text{Area of rectangle}_{2} = LB[/tex]

[tex]\text{Area of rectangle}_{2} = (7 + 5)(8)[/tex]

Simplify the R.H.S to determine the area

[tex]\text{Area of rectangle}_{2} = (7 \times 8) + (5 \times 8)[/tex]

[tex]\text{Area of rectangle}_{2} = 56+ 40[/tex]

[tex]\text{Area of rectangle}_{2} = 96 \ \text{feet}^{2}[/tex]

Determining the area of rectangle₃

Given dimensions:

Length = 17 feetBreadth = 7 feet

Substitute the length and the breadth:

[tex]\text{Area of rectangle}_{2} = LB[/tex]

[tex]\text{Area of rectangle}_{2} = (17)(7)[/tex]

Simplify the R.H.S to determing the area:

[tex]\text{Area of rectangle}_{2} = 119\ \text{feet}^{2}[/tex]

Determining the area of the figure:

A (Figure) = A (Triangle) + A (Rectangle₁) + A (Rectangle₂) + A(Rectangle₃)

                 =     27.5 + 85 + 96 + 119

                 =     327.5 feet²

Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy?

Answers

Answer:

240

Step-by-step explanation:

5x4x12=240

if you multiply the amount of sizes he can get times the amount of crust sizes he can get you get the pizza it's self (20)

now including the toppings (12) this means 20x12 gets you the amount of toppings on those induviduale pizza's.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

multiplying five by four and 12 gives you total possible choices.
5x4x12=240. You have 240 different possible choices

What is the measure of the given angle in degrees​

Answers

Answer:

D -- 210

Step-by-step explanation:

In degrees, 7π / 6 is 210°

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

210°

Step-by-step explanation:

To convert from radians to degrees :

Degree measure = Radian measure x 180°/π

Our radian measure is 7π/6.

Solving :

Degree = 7π/6 x 180/πDegree = 7 x π/π x 180/6Degree = 7 x 30 = 210°

a sphere has a volume of 2304pi mm^. find the diameter of the sphere

Answers

Answer:

My answer is The diameter is 24

A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. If the company used 28,134.4cm cubed of steel, how many rods did it make?
Use 3.14 for[tex]\pi[/tex] , and do not round your answer.

Answers

(One steel rod’s volume) = 3.14 x 4^2 x 20

= 1004.8cm^3

(Used steel) / (One steel rod’s volume) =

(Made steel rod’s number)

The answer is 28

P,Q and R are points on a circle, centre O, if angle OPQ=36 degree, what is the size of angle PRQ.

Answers

Answer:

18

Step-by-step explanation:

an angle subtended by a chord to the center is twice to that subtended by the same chord to the circumference

what's greater -9/11 or -5/8

Answers

Answer:

-9/11 > -5/8

Step-by-step explanation:

please help fast it is due​

Answers

A right triangle with a 45 degree angle means the two short sides are the same, so y = 30


the hypotenuse is the length of the side x sqrt (2), so x =30sqrt(2)


answer: x = 30sqrt(2) and y = 30


How do you solve 2. 310x/4y times 8y/5x =

Answers

Answer: 0.924

Step-by-step explanation:

Given

[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]

Simplify  [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]


[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]

Cancel y

[tex]0.5775x* \frac{8}{5x}[/tex]

Cancel x

[tex]0.5775* \frac{8}{5}[/tex]

Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]

[tex]\frac{0.5775*8}{5}[/tex]

Simplify

[tex]\frac{4.62}{5}[/tex]

Simplify

0.924

A spring with spring constant 0.5 m has a force of 40 newtons applied to it. How much does the spring
stretch? Use Hooke's law F = kx
N
O A 1,600 cm
OB. 100 cm
O C. 80 cm
O D. 40 cm

Answers

The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

How to calculate the force acting on string?

According to Hookes law

F = ke

where

F is the applied force = 40N

k is the spring constant

e is the extension  = 0.5

Substitute

40 = 0.5e

e = 40/0.5

e = 80cm

Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

Learn more on hookes law here: https://brainly.com/question/12253978

Joanna draws a scale model of a rectangular table for a carpenter to build. On her drawing, \frac{3}{4} 4
3

of an inch represents 11 foot. In the drawing, the table is 7\frac{1}{2}7 2
1

long. How long, in feet, will the table be when the carpenter builds it?

Answers

The length of the rectangular table the carpenter builds given the scale is 110 feet

What is the length of the drawing?

A scale drawing is a smaller version of a larger image. The scale drawing is usually reduced at a constant dimension

Length of the table = (11 x 7 1/2) ÷ 3/4

(11 x 15/2) x 4/3 = 660/6 = 110 feet

To learn more about scale drawings, please check: https://brainly.com/question/26388230

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