A line has a slope of -4. The line passes through the point (-2,1). What is the point- slope form of the line?
A. y - 1 = -4 (x + 2)
B. y - 4 = -2 (x - 1)
C. y - 1 = 4 (x - 2)
D. y - 2 = -4 (x - 1)​

Answers

Answer 1

Answer:

A    y - 1 = -4(x + 2)

Step-by-step explanation:

point-slope form: [tex]y - y_{1} = m(x -x_{1} )[/tex]

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

y - 1 = -4(x + 2)


Related Questions

which points of concurrency are always inside the triangle?

Answers

Answer: The centroid is the point of concurrency of the three medians in a triangle. It is the center of mass (center of gravity) and therefore is always located within the triangle.

Perpendicular bisectors: acute/right/obtuse …… ...

Construction: Location of Point of Concurrency

Explanation: The point of concurrency is the point where three or more lines, segments, or rays intersect forming a point. Out of the four namely the Centroid, Incenter, Circumcenter, and Orthocenter, only the Centroid and Incenter is always located inside the triangle.

Centroid: where the medians intersect.

Incenter: where the angle bisectors intersect.

Step-by-step explanation. Hope this helps lol!

I'll mark u as brainliest pls help with these 2 questions ​

Answers

Answer:

3, 10

Step-by-step explanation:

1.

5x-1=14 ->

5x=15 ->

x=3.

2.

15+3x=45 ->

3x=45-15=30 ->

3x=30 ->

x=10.

Hope that help! :)

Answer:

1.) x=3

2.)x=10

Step-by-step explanation:

for the first problem you would add 1 to both sides, and you would get 5x=15, then you would divide both sides by by 5 to get x by itself. 5x/5=x and 15/5=3, so x=3. you can also plug it in. 5(3)-1=14

for the second one you wpuld subtract 15 from both sides, and you would get 3x=30. divide both sides by 3 which is x=10. plug it in, 15+3(10)=45.

Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot and
enter the number only.

I need the answer quick please!

Answers

Answer:

125.1698 Ft

Step-by-step explanation:

3 out of 20 apples are bad what percentage are bad​

Answers

Answer:

15% or 0.15

Step-by-step explanation:

3/20 = 0.15

5y+40z what is the factor

Answers

Answer:

the factored form is 5(y + 8z)

Step-by-step explanation:

Because 5 divides evenly into both 5y and 40z, the GCF is 5 and the factored form is 5(y + 8z)

What function represents the next graph?

Answers

Answer:

Option 1:  y = (x - 2)² + 2

Step-by-step explanation:

Given the vertex, (2, 2), of an upward-facing parabola, and using the y-intercept of the graph, (0, 6):

Definitions:

The vertex form of the quadratic equations is:

y = a(x - h)² + k

where:

(h, k) is the vertex.

The value of h represents the horizontal translation of the graph. h > 0 represents the horizontal shift of the graph h units to the right. h < 0 shifts the graph |h | units to the left. The value of k  represents the vertical translation of the graph. k > 0 shifts the graph k units upward. k < 0 shifts the graph |k | units down.

The sign of a  determines the direction of the graph's opening. The value of a also determines the vertical stretch or shrink of the graph.

If a is positive (or a > 1), then the graph opens upward. The value of a > 1 also represents the vertical stretch of the graph.  If a is negative (or a < 0), then the graph opens down.The value of 0 < a < 1 represents the vertical shrink or compression of the graph.

Solution:

Substitute the values of the vertex (2, 2) and the y-intercept, (0, 6) into the  vertex form to solve for the value of the coefficient, a:

y = a(x - h)² + k

6 = a(0 - 2)² + 2

6 = a(-2)² + 2

6 = 4a + 2

Subtract 2 from both sides

6 - 2 = 4a + 2 - 2

4 = 4a

Divide both sides by 4 to solve for a :

[tex]\displaytext\mathsf{\frac{4}{4} \:=\frac{4a}{4}}[/tex]

a = 1

Quadratic Equation in Vertex Form:

Therefore, given the vertex, (2, 2) and a = 1, the quadratic equation in vertex form is: y = (x - 2)² + 2, thereby matching Option 1.

I 3) Give the steps you will use to separate the variable and the solve the equation.
a) у/3 = 4
b) Zn - 6 = 8
pls pls pls pls give step by step answer I will mark brainlist ​

Answers

(1)

Multiply both sides by 3

y = 4 * 3

Simplify 4 * 3 to 12

y = 12

(2)

There are two possibilities for both z & n.

Solving for z:

add 6 to both sides

2n = 8 + 6

simplify 8 + 6 to 14

zn = 14

divide both sides by n

z = 14/n

Solving for n:

add 6 to both sides

zn = 8 + 6

simplify 8 + 6 to 14

zn = 14

divide both sides by z

n = 14/z

A piece of fabric 78.25cm long was cut from a 200cm long piece to make a shirt. What percent of the fabric was left behind?

Answers

Answer:

39.125 %

Step-by-step explanation:

you use the cross multiplication method:

200cm = 100%

78.25 = ???

78.25 × 100

——————— = 39.125%

200

if you are willing to check your answer:

39.125 × 200

———————–— = 78.25 cm

100

I HOPE THIS WOULD HELP!

PLZZZZ HELPPPP MEEEEEE​

Answers

Answer:

13

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

If it helped, please mark as brainliest!

Solve for x
9(x + 5) = -9

Answers

Answer:

x = -6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

9(x+5)=−9

(9)(x)+(9)(5)=−9(Distribute)

Step 2: Subtract 45 from both sides.

Step 3: Divide both sides by 9.

Hello there! :)

9(x+5)=-9

Use the Distributive Property:

9(x+5)=-9

9x+45=-9

9x=-9-45

9x=-54

Divide both sides by 9:

x=-6

Hope it helps you! :) Feel free to ask me if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex]

Pls help with this question!!!!

Answers

There are 75 dimes in the box. This is because all of the pennies, nickels and quarters is 14.20$. So subtracting the full total 21.70 bu 14.20 gives us 7.50$. Which is 75 dimes.

SOMEONE PLEASE HELP IM SO CONFUSED…. QUESTION- Find A and B

Answers

Answer:

hi

Step-by-step explanation:

what you want to know about this

Answer:

the answer is c dont have much time to explain

find the area of the largest square that can be cut from a circle of radius 18

Answers

Answer:

approx 161.3 square units

Step-by-step explanation:

the circle can contain 4 isosceles triangles with legs equal to 9 and hypotenuse equal to approximately 12.7

these four triangles would produce a square with sides of 12.7 units

so area would be 12.7² or approx 161.3 square units

Q.no 21 solve it.
Plz. Plz

Answers

Answer:

Hamm i don't know sorry a want yo help You Buy a can't because a don't know sorry

Andrew owns stock in Hyren Airlines and as a result gets paid dividends worth $539. 70 every year. If Andrew owns 105 shares of Hyren Airlines, how big is the dividend each share yields? a. $3. 60 b. $2. 78 c. $5. 67 d. $5. 14.

Answers

Answer:

the answer to your question is B $3.60

How many prime numbers are there between 50
and 75?

Answers

Answer:

All the prime numbers between 50 and 75 are 53, 59, 61, 67, 71 and 73.

Step-by-step explanation:

Answer:

51 53 57 59 61 69 71 73 these are the prime numbers

Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)

Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

Answer: 250=70x+50 For A

Step-by-step explanation:

Answer:

Part A 70x+50=250

Part B(75x + 35) = 250 - 5x

Step-by-step explanation:

The perimeter of rectangle is 100m. If the length is decreased by 2m and the breadth is increased by 3m, The area increases by 44m². Find the length and breadth of rectangle? ​

Answers

length=22m

breadth=14.67

if f(n) = -6n + 2, find t 5/6

Answers

So you need to add 6n with +2 then 5-7

please calculate the area for this triangle

Answers

Answer:

30

Step-by-step explanation:

This table shows the input and output values for a linear function f(x).

What is the difference of outputs for any two inputs that are one value apart?

A. -5
B. 1
C. 21.2
D. 27.2

Answers

Answer:

C

Step-by-step explanation:

The question wants you to calculate f(n)-f(n-1) using the data in the table. This could be done on any of the pairs, but I chose f(0)-f(-1) = 6 - (-15.2) = 21.2, giving us C as the final answer.

Evaluate the expression-3 x + 4 when x = 2.

Answers

Answer:

-2

Step-by-step explanation:

-3x + 4

-3(2) + 4

-6 + 4

-2

Substitute in 2 for x, and solve.

-2 (hope this helps)

Terry lost 4 pounds over the summer this is for more than half the weight she wanted to lose by December how much does Terry want to lose

Answers

Answer:

7 pounds?

Step-by-step explanation:

3. Consider the product -11 7 6/7.
(a) Determine the product by rewriting the mixed number and applying the distributive property. What is the product?
(b) Multiply the integer and mixed number by multiplying fractions. What is the product?

Answers

Answer:

Did you get the answer to this. I am struggling on this as well.

Step-by-step explanation:

PLZZZ I need help on this. I have to answer it in less than 10 minutes. I have short term memory loss and forgot everything I learned on this subject

Answers

Answer:the question is not there

Step-by-step explanation:

help will reward brainly

Answers

Answer: Positive but I might be wrong I haven't done slopes in a while

Step-by-step explanation:

Positive because from left to right it goes up

If it were negative, it would go the opposite way

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3 - I.

f(x)=

Answers

Answer:

f(x) =  x³ - 6x² + 5x + 12

Step-by-step explanation:

Given polynomial function f(x) with:

a = 1, r₁ = 4, r₂ = 3, r₃ = -1

With the least degree it is:

f(x) = 1*(x - 4)(x - 3)(x - (-1)) =         (x² - 7x + 12)(x + 1) =          x³ - 6x² + 5x + 12

If
x
=
5
and
y
=
7
, evaluate the following expression:
100

3
(
3
y

4
x
)

Answers

Answer:

97

Step-by-step explanation:

100-3(3y-4x)

97(3×7-4×5)

97(21-20)

97(1)

=97

3.) What would 9 gallons of gas cost at $2.12 per gallon? *
$18.80
O $17.56
$19.08
$11.12

Answers

Answer:

19.08

Step-by-step explanation:

each gal = $2.12

gals filled = 9

9 x 2.12 = 19.08

In order to select new board members, the French club held an election. 70% of the 90 members of the club voted. How many members voted?

Answers

Answer:

63 members.

Step-by-step explanation:

70% of the votes means that every 100 people, 70 went to cast their ballot, or 7 every 10. Now in the club there are 9 groups of 10 people, so 9x7 = 63 people

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