05.01 MC)
Determine the equation of the line with slope −2 that passes through the point M(−1, −3). (5 points)

Question 2 options:

1)

2x + y = −5

2)

2x − y = −5

3)

x − 2y = 5

4)

x − 2y = −5

Answers

Answer 1

Answer:

2x + y = -5 (which is Answer 1).

Step-by-step explanation:

The possible answer choices are all versions of the standard equation of a straight line:   Ax + By + C = 0.  If A and B are both positive, as they are here, then the slope is negative and has the form m = -A/B.  Only the first answer choice passes here:  with +2x and +1y, the slope is -2.  This automatically eliminates the other possibilities.

Looking at the first answer choice, we see that A must be 2 and B must be 1

so that the slope is m = -2.    Writing out this equation:  Ax + By + C = 0.

Replace A with 2 and B with 1:  2x + y + C = 0.

Finally, replace x with -1 and y with -3:  2(-1) + (-3) + C = 0.

Solving this for C, we get   -2 - 3 + C = 0, or -5 + C = 0, or C = 5.

We end up with 2x + y = -5 (which is Answer 1).


Related Questions

The expression 10x + 25 can represent the area of the figure below. Which answer choice shows this expression when factored correctly?
Pls help!

Answers

Answer:

the correct answer would be 5(2x+5)

Step-by-step explanation:

Find the greatest common factor to divide the two numbers by. That would be 5.Divide the two numbers by 5 and then put the five outside some parenthesis. 5(2x+5). And then there you have it. That's the answer.

Find the area. Will mark brainliest.

Answers

Answer:

216

Step-by-step explanation:

I think that it is 216 because if you add 18 and 10 you get 28 then multiply 28 by 12 then you get 336. Then you will find the area of the unshaded part which is 120. Then you will subtract 120 from 336 to get 216.

Hope this helps

If PQ is tangent to circle R at point Q and PS is
tangent to ⊙R at point S, what is the perimeter
of quadrilateral PQRS?

Answers

Answer:

Perimeter of the quadrilateral PQRS is 25 units

Step-by-step explanation:

From the figure attached,

PQ is a tangent to the given circle so m∠PQR = 90°

Now we apply Pythagoras theorem in the ΔPQR,

PR² = PQ² + QR²

(PT + TR)²= PQ² + 5²

(4 + 5)² = PQ² + 25

81 = PQ² + 25

PQ = √(81 - 25)

     = √56

     ≈ 7.5 units

PQ ≅ PS ≅ 7.5 units

[Since measures of tangents drawn from a point to a circle are always equal]

Perimeter of PQRS = PQ + QR + RS + PS

                                = 7.5 + 5 + 5 + 7.5

                                = 25 units

Therefore, perimeter of the quadrilateral PQRS is 25 units.

Answer:

10 + 4 square root 14

Step-by-step explanation:

so the person below or above me said 25 units and they are not wrong it just the did have it in a simple equation like this ^

so 4 square root 14 = 14.9 or 15

then 10 + 15 = 25 units

so the correct answer is 10 + 4 square root 14

I ALSO TOOK THE TEST AND IT WAS CORRECT :)

check out the square pyramid

Answers

Answer:

your answer should be 40

Step-by-step explanation:

the square's area is 4x4=16

and the triangles are 4(.5(3x4))=24

24+16=40

Which of the following shows the correct simplification assuming the denominator is not equal to zero?

Answers

Answer:

[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]

or

[tex]\frac{(3x+2)}{x^2+x}[/tex]

Step-by-step explanation:

[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]

answer the following 2 question ​

Answers

Answer:

Step-by-step explanation:

ii) Perimeter = 8 + 7 + 17 + 16 + (17-8) + (16-7)

                   =8+ 7 + 17 +16 + 9 + 9

                  = 66 m

Area = area of upper rectangle + area of lower rectangle

        = 8*7 + 16*9

       = 56 + 144

   = 200 m²

If Jay has an 85 average over four exams, what would his average need to be on his
last two exams to bring his average up to an 88?

Answers

Answer:

91 average for his next exams

Step-by-step explanation:

he has an 85 right now. if he gets a 91 then his overall average will be an 88 like he wanted.

(this is how u find average) ( add them together then divide it by how many numbers there are)

85+91=176

176/2= 88

therefore the average on his next 2 exams must be

91

hope this helps! <3

The scatter plot bellow shows the relationship between two variables,x and y.Which line best fits the data ?

The fist left

The first in the right

The second in the left

The second in the right ?

Answers

Answer:

The fist left

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

We need to understand what is the line of best fit

A line representing the best data on a distributed chart. This line can go through some points, no point or all points.

In the attached photo, we can see that the 1st left line is the best represent for the relationship between two variables,x and y.

Hope it will find you well.

Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13

y=?

(FINALEXAM)

Answers

Answer:

-1/52 x^2

Step-by-step explanation:

4p(y-k)=(x-h)^2

4(-13)y=x^2

-52y=x^2

y=-1/52 x^2

Does 10 24 26 make a right triangle

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

i can only assume you mean degrees, you worded it strangely, but they add to 60 degrees and a right triangle is 90

Which three-dimensional figures have lateral faces that are polygons? Check all that apply. cones cylinders hemispheres prisms pyramids spheres

Answers

Answer:

Prisms

Pyramids

Step-by-step explanation:

Lateral faces of a pyramid are triangles (3 sided polygon)

Lateral faces of prisms are rectangles (4 sides polygon)

Answer:

Cylinders, Prisms, Pyramids

Step-by-step explanation:

Hope this helps

Brainliest if correct pls

Solve.
-6x^2 - 2 - 3x=-8
a)x=5+√57÷16
b)x=-4+√34÷3
c)x=-7+3√41÷16
d)x=1+√17÷-4​

Answers

Answer:

So the d) is right.

Step-by-step explanation:

we have:

-6x^2 - 2 - 3x=-8

6x^2 + 3x - 6 =0

The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17

These 2 solutions are:

[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]

So the d) is right.

What is the quotient

Answers

The second one: 4 times 10 to the power of 12

The second one 4 times 10 the power is 12

A bag contains 28 marbles: 9 black, 14 red, and 5 blue. A marble is drawn from the bag at random.
What is the probability of getting a red blue marble? Write answer as SIMPLIFIED FRACTION.
ASAP

Answers

Answer:

red : 50%

blue : 18%

Step-by-step explanation:

Red : 14:28x100 = 50%

blue : 5:28x100= 17,85%= 18%

Which points could be on the line that is parallel to Line G H and passes through point J? Check all that apply. (–3, 5) (1, 5) (3, −2) (3, 2) (5, 1)

Answers

Answer: (-3,5),(3,2),(5,1)

Step-by-step explanation:

Answer:

ade

Step-by-step explanation:

THIS IS NOT A QUESTION!
This is a list of Area and Perimeter on the coordinate plane answers from Khan Academy.

approximate perimeter of STRIPE is 36.01

area of rectangle TOUR is 80

perimeter of of polygon CHOMP is 32.52

area of parallelogram YORK is 122

the area of trapezoid MASK is 34

The approximate perimeter of polygon CODIFY is 51.53

The area of triangle SOL is 52

The approximate perimeter of polygon DINGO is 34.44

the approximate perimeter of the isosceles triangle PAZ is 20.03

the area of triangle CAW is 10

The approximate perimeter of rectangle PEAR is 34.99

The area of trapezoid COWL is 45

The area of triangle TOP is 87/2 units

The approximate perimeter of triangle VEN is 29.80

The area of parallelogram TOWN is 40

the approximate perimeter of quadrilateral BOAT is 30.34

Answers

Omg! Thank you. I was stuck for like an hour till I found this.

Answer:

Omg, thank you so much

Step-by-step explanation:

a rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field

Answers

Answer:

[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]

Step-by-step explanation:

To find the area of a rectangle:

[tex]a=l*w[/tex]

where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

In this case:

length: [tex]l=\frac{9}{10}miles[/tex]

width: [tex]w=\frac{1}{2} miles[/tex]

thus, we multiply this quantities to find the area:

[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]

the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared

Select the equivalent expression.
(2^-4 x z^-3)^5 =
Choose 1 answer:

Answers

Answer:

A

Step-by-step explanation:

[tex](2^{-4}z^{-3})^{5}[/tex]

several ways to approach this.

use power rule.  [tex](a^{m} )^{n} = a^{mn}[/tex]

[tex](2^{(-4*5)}z^{(-3*5)} )[/tex]

[tex](2^{-20} z^{-15} )[/tex]

RULE:  [tex]x^{-1} = \frac{1}{x}[/tex]

[tex]\frac{1}{(2^{20}z^{15}) }[/tex]

Jeremy had 5 Roosevelt dimes, 3 Kennedy half dollars, and 8 silver dollars in his coin collection worth a total of $231.
D=collector value of a dime
H=collector value of a half dollar
S=collector value of a silver dollar

Write a linear equation showing the number of each coin

A) 0.50d+1.50h+8s=231
B) 5d+3h+8s=231
C) d+h+8s=231
D) 0.10d+0.50h+1s=231

PLS HELP! I’ll give brainliest

Answers

The linear equation would be, 5d + 3h + 8s = 231

The amount in equation is 5d + 3h + 8s = 231.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given:

Jeremy had 5 Roosevelt dimes,

3 Kennedy half dollars,

and 8 silver dollars in his coin.

Total amount = $231

As, let d be the collector value of a dime

let h be the collector value of a half dollar

let s be the collector value of a silver dollar

Now, to represent the amount in equation

5d + 3h + 8s = 231

Learn more about equation here:

https://brainly.com/question/11897796

#SPJ5

Complete the point slope equation of the line through (1,3) and (5,1)

Answers

Answer:

Step-by-step explanation:

(1-3)/(5-1)= -2/4= -1/2

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

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

y - 6/2 = (-1/2)x + 1/2

y = (-1/2)x + 7/2

Organize the functions from the least to greatest according to their y-intercepts.

Answers

Answer:

last, second, first

Step-by-step explanation:

least to greatest from y intercepts (5, 2, 3)

The box plot shows the number of years during which 16 schools have participated in a marching band competition: At least how many schools have participated for 3 to 7 years? (4 points) Group of answer choices 3 schools 5 schools 7 schools 8 schools

Answers

Answer:

I believe its 7 schools, i might be wrong. What quiz is it?

Step-by-step explanation:

Evaluate 6p, when p=4

Answers

Answer:

24

Step-by-step explanation:

6(4) = 24

Answer:

24

Step-by-step explanation:

Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph?

Answers

Answer:

34

Step-by-step explanation:

Given

y = 34[tex](5)^{x}[/tex]

To find the y- intercept let x = 0, that is

y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept

Yes the answer is 34 because if you

box plot i dont understand any thing about it

Answers

Answer:

Just put the numbers in order then the interquartile range would be the largest number from the high quartile and the lowest number from the lower quartile.

HELP ME PLEASE!!!

I don't understand...
If possible, please explain!

Answers

Answer:

saa.

Step-by-step explanation:

if you look at where the triangles connect, you will see they share an angle. that makes those two congruent. then yousee the SAA thrm. you go side (the line through one side) then the angle (the one that the two triangles share) then angle (the two marked congruent angles)

Angle Side Angle or ASA because the vertex is always equal on both sides and the side is indicated congruent and angles are also indicated congruent
Answer:ASA

PLSSS HELPPP
MARKING BRAINLIST !!!!!!

Answers

Answer:

First Option; 40,

Second Option; x = 3,

Third Option; x = - 5,

Fourth Option; x = 0

Step-by-step explanation:

Given the expression x^2 + 3 * ( x + 4 ), where x = 4;

x^2 + 3 * ( x + 4 ) ⇒ Substitute the value of 4 in replacement of x,

( 4 )^2 + 3 * ( 4 + 4 ) ⇒ Add the terms in ( ), taking 4^2 at the same time,

16 + 3 * ( 8 ) ⇒ By PEMDAS, multiply 3 by 8 first,

16 + 24 ⇒ And now add the remaining terms,

Solution; 40

This next equation is given to be 5 * ( 2x - 1 ) = 25, where we must solve for x;

5 * ( 2x - 1 ) = 25 ⇒ Distribute the 5 to the terms in ( ),

10x - 5 = 25 ⇒ Add 5 on either side of the equation,

10x = 30 ⇒ Divide 10 on either side of equation,

Solution; x = 3

Here we must solve for the value of x provided the equation 6x + 4 - x = 2x - 11;

6x + 4 - x = 2x - 11 ⇒ Add 11 on either side,

6x + 15 - x = 2x ⇒ Add x on either side of equation,

6x + 15 = 3x ⇒ Subtract 6x on either side,

15 = - 3x ⇒ Divide 3 on either side,

Solution; x = - 5

Now we are given the equation 4 - ( 3x + 4 ) = - 9x, solving for the value of x;

4 - ( 3x + 4 ) = - 9x ⇒ Distribute the - 1 to all terms in ( ),

4 - 3x - 4 = - 9x ⇒ Add 3x on either side of equation,

4 - 4 = - 6x ⇒ Subtract 4 from 4,

0 = - 6x ⇒ Divide - 6 on either side,

Solution; x = 0

In the diagram of circle A, what is m angle LMN?
О 75°
O90°
О 120°
135°
ОО

Answers

Answer:

90

Step-by-step explanation:

Angle Formed Outside = 1/2(DIFFERENCE of Intercepted Arcs)

ARC LN = 360 - 270 =90

LMN  = 1/2(270 -90)

         = 1/2 (180)

        = 90

Answer:

90

Step-by-step explanation:

Will give brainliest answer

Answers

Answer:

2

Step-by-step explanation:

The radius is half of the distance across the circle

The answer is 2 units

Solve for a.

a + (-1.3) = -4.5

Enter your answer in the box.

Answers

Answer:

a=(-3.2)

Step-by-step explanation:

a+(-1.3)=(-4.5)=a-1.3=(-4.5)

a=(-3.2)

Please mark as Brainliest! :)

Have a nice day.

Answer:

a=-3.2

Step-by-step explanation:

Simplify the equation:

a - 1.3 =-4.5

Add 1.3 to both sides:

a -1.3 +1.3 =-4.5+1.3

a=-3.2

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