find equation of a line containing (3,-4) and having a slope of -2. if this line contains the points(a, 8) and (5,b) find a and b

i will give brainlest for the best answers with best explanation ​

Answers

Answer 1

Answer:

a = - 3, b = - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (3, - 4 ) into the partial equation

- 4 = - 6 + c ⇒ c = - 4 + 6 = 2

y = - 2x + 2 ← equation of line

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

Substitute (a, 8 ) into the equation and solve for a

8 = - 2a + 2 ( subtract 2 from both sides )

6 = - 2a ( divide both sides by - 2 )

- 3 = a

Substitute (5, b ) into the equation and solve for b

b = - 2(5) + 2 = - 10 + 2 = - 8


Related Questions

Heyy , help me do this please and thank you?:

Answers

Answer: 18 fliers

Step-by-step explanation:

1/3 of 63 is 21.  Thus, the remaining fliers are 42.

4/7 of 42 is 24.  Thus, the remaining fliers are now 18.

Hope it helps :)

Community planners are planning to build a new community garden. They agree that the garden will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the length would remain at 15.8 yards but that the width would increase by 5.2 yards. So, the garden would now cover an area of 327.65 square yards.

Which equation can be used to determine the original width of the garden, w?
1: 327.65 = 5.2 (w + 15.8)
2: 327.65 = 15.8(w +5.2)
3: 327.65 = 2 (w +21)​

Answers

Answer:

2)

Step-by-step explanation:

To find the original width, multiply 15.8 by w, and by 5.2.

You'll get 327.65 = 15.8w + 82.16.

Next, do the opposite of the symbol from both sides, 327.65 - 82.16 = 15.8w + 82.16.

The constant is 82.16, and the symbol is +, the opposite of plus is -, and thus subtract the constant from both sides.

You'll get 245.49 = 15.8w.

Now do the opposite of the symbol (a number next to a variable is multiplication, so do division, and divide 15.8 on both sides.

245.49/15.8 = 15.8w/15.8, which equals 15.5373417722.

What is the opposite of 3√ ?


13√

−3√

−32

Answers

Answer:

D or B

Step-by-step explanation:

Based on the information marked in the diagram, AMNP and AQRS must be
congruent.
N
R
ма
P
A. True
B. False

Answers

Answer:

Yes, it is true by AAS theorem.

The triangles ΔMNP and ΔQRS are congruent triangles

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be ΔMNP

Now , let the second triangle be ΔQRS

where the measure of angle ∠MNP = measure of angle ∠QRS = 90°

And , the measure of side NP = measure of side RS

And , the measure of ∠NPM = measure of angle ∠RSQ

So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent by ASA theorem

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The number of ways to choose three different pizza toppings from a group of six is called a ?

Answers

Answer:

Uh, 16.

Step-by-step explanation:

We need to choose three different toppings. So here we need to find the number of ways in which we can choose three different toppings out off. 16. So a number of ways are takes three at a time, from a total of 16. That is civilians combination. Here are formula for combination is 16 factorial over three factorial into 16 minus three. Factorial this candidate and a 16 factorial over three factorial into 16 minus trees. 13. Authority in factorial, now 16. Factory converted on a 16 in 2 15 into 14 into 13. Factorial over three factorial into 30. In fact, a real as we can see that 13 factorial is common toward denominator and numerator so we can get through this. Now I remaining times are 16 into 15 into 14. Over three in Toto into one has three factories, three in tow, one So calculating this ticket. Find 60 Soviet 56 TVs to select three different topics. Talked to select three different toppings out off 16 on a bizarre

1.) What three ratios are equivalent to 3/9? *
O 1/3, 2/3, 3/3
1/3, 12/36, 15/45
6/9, 12/15, 18/21
05/12, 9/12, 3/12

Answers

Answer:

B

Step-by-step explanation:

3/9 is the same as 1/3.

It can't be D since 5/12 isn't 1/3.

It can't be A since 2/3 and 3/3 don't equal 1/3.

It can't be C since everything listed is equal to 2/3.

Write an expression.
1 a. 49 divided by the difference of x and 2

Answers

Answer:

x + 2

--------

49

Step-by-step explanation:

that's the answer

49 ÷ ( x - 2)


That’s your expression

Help would be appreciated right now

Answers

Answer:

AC = 20.5, CB = 14.5

Step-by-step explanation:

Let X be the distance of AC, and Y be the distance of CB. We can write 2 equations with the given information:

[tex]x=y+6\\x+y=35[/tex]

Now we have a system of equations that we can solve for both variables.

Solve by substitution:

[tex](y+6)+y=35\\2y+6=35\\2y=29\\y=14.5[/tex]

Then the next equation:

[tex]x=14.5+6\\x=20.5[/tex]

x = 20.5, y = 14.5

or

AC = 20.5, CB = 14.5

20.5 is 6 longer than 14.5, and they add up to 35cm, so this is our solution.

Work out the size of angle x

Answers

X = 13°

This is because the 85° opposite angle is part of the triangle, and the 98° is apart of a straight line (180°-98°=82°) in which the 82° is also apart of the triangle (because of the c pattern) and lastly as it is a triangle you just do 180°-(85°+82°) which equals 13°

Answer:

Opposite angles are equal

Corresponding angles are equal

Angles on straight lines adds to 180

Angles in triangle adds to 180

180-98=82

82+85=167

180-167=13

Answer is 13

The average bedroom is an apartment is approximately 16x10

Answers

Answer:

Bro what to find with this

Answer:

 which would mean it would  have the area  of   160 square feet  

Step-by-step explanation:

James is following this recipe to make flapjacks.
James uses 330 mL of syrup.
How many flapjacks is James making?

Recipe: Makes 8 flapjacks
100 g sugar
110 mL syrup
220 g oats
165 g margarine
30 g sultanas

Answers

Answer:

24 flapjacks

Step-by-step explanation:

330 / 110 = 3

8 *3 = 24

easy one - giving brainly if correct - show work.​

Answers

Answer:

47. 1  5/8

48. 1  1/12

Step-by-step explanation:

47.

First, convert the denominators to be the same.

8  1/2 minutes, Ruby's mile time, can be converted to 8  4/8.

Then subtract.

8  4/8 - 6  7/8  = 1  5/8

48.

Make sure the denominators are the same. Both denominators can be multiplied by 3 or 4 to become 12.

1  1/4 can be multiplied by 3 to get 1  3/12. And 1  1/3 can be multiplied by 4 to get  2  4/12.

Then subtract.

2  4/12 - 1  1/3 = 1  1/12

What is the final amount if 2024 is increased by 17% followed by a 15% decrease? Give your answer rounded to 2 DP.

Answers

Answer:

2059.20

Step-by-step explanation:

2024 increased by 17% is

2024 * 1.17 = 2368.08

2368.08 reduced by 15% is

2368.08 ÷ 1.15 = 2059.20

Consider the following proportion:

2
7
=
12
x
Use cross products to write the equation: 2x = 84.

What is the value of x?

Answers

Answer:

x=42

Step-by-step explanation:

divided by 2 equals 42 first you have to dive x by 2 and do the same for 80

Pls help Ive been here since nine this morning...

f(x)=4.5x^2-3x+2

fine the horizontal tangent line

Answers

Answer:

x = 13

Step-by-step explanation:

Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.

Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.

f ′ (x) =    d        (4.5 x 2 − 3 x + 2)

        ______        

            d x  

Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3

To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}

Therefore, the tangent line to f(x) is horizontal at the point x = 13

Hope this helps, have a nice day/night! :D

can anyone help me with math

Answers

Answer:

d = 6

Step-by-step explanation:

diameter is the whole thing while the radius is always half of the diameter.

12 / 2

= 6

Answer:

6

the diameter is always the half of a radius

Find the value of x so that the ratios are equivalent.

x to 0.25 and 6 to 1.5

What does x =

Answers

The value of x from the proportion relation is x = 1

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides

Given data ,

Let the proportion equation be represented as A

Now , the equation will be

Substituting the values in the equation , we get

x / 0.25 = 6 / 1.5

On simplifying the equation , we get

Multiply by 0.25 on both sides of the equation , we get

x = ( 6 x 0.25 ) / 1.5

On further simplification , we get

x = 6/6

x = 1

Therefore , the value of x = 1

Hence , the equation is x = 1

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Write an equation of the line that passes through the pair of points.
(-5,-4), (5,-3)

Answers

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

for the slope a :

x changes by +10 (from -5 to 5)

y changes by +1 (from -4 to -3)

the slope is +1/+10 = 1/10

the equation looks now like

y = (1/10)x + b

let's use the first point.

-4 = (1/10)×-5 + b = -1/2 + b

-3 1/2 = -7/2 = b

the equation is

y = (1/10)x - 7/2

so, the second answer option is correct.

place the decimal point in the product
1. 6.17×8.2=50594

2. 24.01×8.51=2043251

3. 8.94×5.27=471138

Answers

Answer:

Step-by-step explanation:

50.594

204.3251

47.1138

Help me plz
I’m stuck
Also happy thanksgiving

Answers

Answer:

x = 13

angle A = 97degrees

Step-by-step explanation:

TO GET "x=13"

since the angle is an alternate angle , it adds up to 180deg so :-

A+B =180

6x + 5 + 4x + 45 = 180

then u add the like terms :-

10x + 50 = 180

then u substitute:-

10x = 180-50

10x = 130

10x÷10 = 130 ÷10 ( this is to cancel the 10 )

x = 13

___________________________________________________________________

TO GET "A=97"

since we need the magnitude of A, we need to .... um I dunno how to explain this soo.....

the equation for A = 6x + 5

180 is the sum of the 2 angles so :-

180 - 5 - (13 × 6) 13×6 is because x=13

180 - 5 - 78= 97

I subtracted these since we need to cancel to get to an answer

I hope u get it.... sorry if u can't understand

and sorry once again if this answer.... I did it in a rush

Pls help me solve thisss

Answers

Answer:

J (-5,2)

Hope this helps!

The new iPhone 13 Pro Max cost p dollars. T-Mobile is running a promotion that gives you a 45% discount. Write an expression to represent the cost after discount.

The expression that represents the cost after discount is ?

Answers

Answer:

0.55p

Step-by-step explanation:

Iphone before discount = 100%p

Iphone after discount = 55%p

Expression = (1 - 0.45)p

Expression = 0.55p

-Chetan K

Bryan can run 2 miles in 20 minutes. How many miles can he run in 100 minutes?

Answers

Answer:

If Bryan can run 2 miles in 20 minutes, he can run 10 miles in 100 minutes.

Step-by-step explanation:

To determine the answer to this problem, we can first find how many minutes it takes Bryan to run one mile. Because it takes him twenty minutes to run two miles, it must take Bryan ten minutes to run one mile.

1 mile = 10 minutes

Multiply this by ten to find how many miles Bryan runs in 100 minutes.

10 miles = 100 minutes

Bryan can run 10 miles in 100 minutes.

Answer: 10 miles

Step-by-step explanation: They’re equivalent to the minutes. 20 minutes 2 miles, 40 minutes 4 miles and so on.

PLEASE HELP!! PLEASE AND THANK YOU!

Answers

Answer:

50.05 feet

Step-by-step explanation:

The tower have 32.57 feet, and you can find it using the same method than I used in your other question

Now you find the length of the guy wire using the Pythagorean theorem:

38²+32.57² = guy wire²

2504.8 = guy wire²

guy wire = √2504.8

guy wire = 50.05 feet

Find the area of the shaded portion.
6
120

Answers

Answer:

A = 36√3 - 12π

Step-by-step explanation:

Make 2 identical 30-60-90 triangles out of the "wedge"

For each 30-60-90 triangle:

Since the short leg is 6 the long leg is 6√3

short leg is the base and long leg is the height

a = (1/2)bh

a = (1/2)(6)(6√3)

a = 3(6√3)

a = 18√3

Since there are 2 triangles

a = 36√3

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

Then subtract off the area of the 120º sector

a = (120/360)πr^2

a = (1/3)π(6^2)

a  = (1/3)π(36)

a = 12π

Shaded area

a = 36√3 - 12π

Step-by-step explanation:

we have the areas of 2 right-angled triangles minus 1/3 the area of the circle (because the 120 degree segment of the circle is 1/3 of the whole 360 degree circle).

since the answer is asking for a square root, we need to aim for the result of a Pythagoras calculation.

basically, the area of a triangle is

1/2 × b×c × sin(A)

A being the angle between the 2 sides b and c. for any 2 sides of the triangle.

one triangle is from the outmost left point to the center of the circle and up to the 90 degree angle. the other triangle is then down to the second right angle.

we know all angles in such a triangle : 90, 120/2 = 60, 180-90-60 = 30.

remember, the sum of all angles in a triangle is 180 degrees.

so, via the law of sines we can then calculate all sides :

a/sin(A) = b/sin(B) = c/sin(C)

with the angles being opposite of the sides.

6/sin(30) = baseline/sin(90)

6/0.5 = baseline/1

12 = baseline

top side² + 6² = 12²

top side² = 12² - 6² = 144 - 36 = 108

top side = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

we pick then top side and 6 as the 2 sides, so that we can use sin(90)=1 in the formula.

the area of the 2 triangles is then

6×sqrt(3)×6×sin(90) = 36×sqrt(3)

and the circle segment to be deducted is

pi×r²/3 = pi×6²/3 = pi×36/3 = pi×12

so, the complete answer is

A = 36×sqrt(3) - 12×pi

How would the number of solutions for an equation with two variables differ from the number of solutions for an equation with only one?​

Answers

Answer: An equation with one variable can have no solutions, one solution, or infinitely many solutions. An equation with two variables can have no solutions, one solution, or infinitely many solutions

Step-by-step explanation:

brainliest me

4√3⋅10√12⋅√6⋅√2?
plz help!!! for algebra.

Answers

Answer:

480[tex]\sqrt{3}[/tex]

Step-by-step explanation:

4[tex]\sqrt{3}[/tex] · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] · [tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex] · [tex]\sqrt{2}[/tex] = 4 · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex][tex]\sqrt{2}[/tex]

= 40 · 2 · 3 · 2 · [tex]\sqrt{3}[/tex]

= 480[tex]\sqrt{3}[/tex]

(5.4*10^2)-(1.3*10^4)
answer in a*b form

Answers

Answer:

-1.24*10^4

Step-by-step explanation:

Firstly observe the Digit term of the given operation under scientific notation. and now we are left with the 10th exponents which involves the basics of 10^a - 10^b = 10^a/b and so according to this rule...we have 10^2/10^4 which results in 10^-2

and thus we have −12460 = -1.24*10^4

What is the standard form of this expression?
(1 + 71i)(3 - i)

Answers

the standard form of this expression is

(72+3)(-i)

Tim Worker wants to purchase an automobile warranty costing $6,659.

If he chooses to make 48 equal payments, then in dollars and cents the average payment will be $_____

Answers

From the given information, the amount that will be paid averagely each month will be $138.73.

From the information given, Tim Worker wants to purchase an automobile warranty costing $6,659 and he chooses to make 48 equal payments.

Therefore, the amount that will be paid each month will be calculated thus:

= $6,659 / 48

= $138.73

The amount will be $138.73.

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https://brainly.com/question/24429956

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