what is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4,-6)

Answers

Answer 1

Answer:

[tex]y + 6 = -2 (x-4)[/tex]

Step-by-step explanation:

Point-slope formula is represented by the equation [tex]y-y_1 = m (x-x_1)[/tex]. When knowing a point a line crosses through and its slope, you can write an equation in this form. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope of the line. Since we know the slope is -2, substitute -2 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of the point the line passes through. Since the line passes through (4, -6), substitute 4 for [tex]x_1[/tex] and -6 for [tex]y_1[/tex]. This gives the following answer and equation:

[tex]y-(-6) = -2 (x - (4))\\y + 6 = -2 (x-4)[/tex]

Answer 2

Answer:

y=-2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=-2(x-4)

y+6=-2(x-4)

y=-2x+8-6

y=-2x+2


Related Questions

8x(2+0)^2 divided by 2

Answers

Answer:

16

Step-by-step explanation:

STEP 1:

Calculate within Parentheses:

[tex](2 + 0) = 2[/tex]

=

[tex]8 \times {2}^{2} \div 2[/tex]

STEP 2:

Calculate Exponents:

[tex] {2}^{2} = 4[/tex]

=

[tex]8 \times 4 \div 2[/tex]

STEP 3:

Multiply & Divide (left to right):

[tex]8 \times 4 \div 2 = [/tex]

[tex]8 \times 4 = 32[/tex]

[tex]32 \div 2 = 16[/tex]

So, your answer is 16.

=8x 2^2 =8x4
(8x4)/2=8x2=16

I WILL MARK YOUR BRAINLY OR WHATEVER HELPPP
Challenge A large university accepts 70% of the students who apply. Of the students the
university accepts, 25% actually enroll. If 10,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)

Answers

Answer:

2500

Step-by-step explanation:

25% of 10 000= 2500

1750 students

70% of 10,000 applicants are accepted = 7000 accepted students
25% of accepted students enroll
0.25 x 7000 = 1750 enroll

I need help. This is due in the next hour. (ಥ﹏ಥ)

Answers

Answer: 420 dollars

Step-by-step explanation: the expression would be 495-75=m where m=420

Which is the graph of f(x) = square root of x?

Answers

Answer:

b

Step-by-step explanation:

use demos online graphing calculator to check and for future graph problems

For any positive integer n, prove that n^3-n is divisible by 6.please answer ​

Answers

Answer:

yes it is true

Step-by-step explanation:

if we take n=2 then

2°3-2=8-2=6

(2 4/10 + 8 4/5) - 3 1/5

Answers

Answer:

it says use a calculater maybe if u used one it would help u out.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

You can first simplify each fraction, so the it would be (24/10 + 44/5) - 16/5. And then add what is in the parenthesis, 556/5, and then subtract 16/5 to get 8.

Please help! I need as soon as possible.

Answers

Answer:

question 2: squareroot k

question 3: 2b/b^10

Step-by-step explanation:

q2:

using power rules, root k^3 = k^2/3

division of powers means subtraction, therefore k^2/3 -1 is your answer. which is k^1/2, which can also be written as root k

q3: same thing

914−456 whta's the answer

Answers

Answer:

458

Step-by-step explanation:

For the​ polynomial, x^3-13x^2+60x-100​, 5 is one of the zeros. Find all remaining zeros.

Answers

X= 5, 4 + 2i, 4 - 2i

A cup of coffee contains 140 mg of caffeine. If caffeine leaves the body at 10% per hour, how long will it
take for half of the caffeine to be eliminated from one's body?

Answers

Answer: 5 hours

Step-by-step explanation:

If 10% of 140 is 14. And if 14 mg of caffeine is leaving per hour then it would take 10 hours to completely leave from ones body, but for half of it to leave it would take 5.

It takes 5 hours to eliminate half of the caffeine from one's body.

Given that, a cup of coffee contains 140 mg of caffeine.

What is the percentage?

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

Now, 10% of 140

=0.1×140=14 mg

If 10% of 140 is 14 and if 14 mg of caffeine is leaving per hour then it would take 10 hours to completely leave from one's body, but for half of it to leave it would take 5 hours.

Therefore, it takes 5 hours to eliminate half of the caffeine from one's body.

To learn more about the percentage visit:

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prove that 4 is a multiple of 2​

Answers

Answer: Look below=3 I hope this helps. Also please forgive me if it's wrong.

Step-by-step explanation: All multiples of 4 are also multiples of 2. This is because 4 is in the two times table and all multiples of 4 can be divided by 2. All multiples of 4 are even.

Find the missing dimension of the triangle.
DETAILED EXPLANATION.

Answers

Answer:

1.75 in

Step-by-step explanation:

kyo na bhala dyan sa sgot

Answer:

[tex]h=2\frac{2}{3}in.[/tex]

Step-by-step explanation:

Formula

[tex]A=\frac{hb}{2}[/tex]

Equation

[tex]h=2\frac{A}{b}[/tex]

[tex]h=2(\frac{2}{1.5})[/tex]

[tex]h=2\frac{2}{3}[/tex]

Check

[tex]2\frac{2}{3}[/tex] · [tex]1\frac{1}{2}=4[/tex]

4 ÷ 2 = 2 in.²

9.1(3) + 8.7(4) = ?

Answers

Answer:

62.1

Step-by-step explanation:

PEMDAS!

9.1 * 3 = 27.3

8.7 * 4 = 34.8

27.3 + 34.8 = 62.1

what is the area of each triangle 24 ft 20 ft

Answers

ANSWER

Area of triangle = b*h/2

24*20/2

24*10

The area of this triangle is 240 ft squared

Hope it helps :)

Sara and Collin's ages add up to 85. Sara is ten years older than foustimes
Collin's age. How old are Sara and Collin?

Answers

Answer:

Collin is 37.5 and Sara is 47.5

Step-by-step explanation:

s+c=85

c+10=s

(c+10)+c=85

2c+10=85

2c=75

c=37.5

s+(37.5)=85

s=47.5

11 - 3X < 53
solve the inequalities

Answers

11 - 3x < 53

First, subtract 11 from both sides.

-3x < 42

Then divide -3 by both sides, and switch the sign.

x > -14

Answer:

It would be: x>-14

Step-by-step explanation:

I hope this helps you

HELP! 10 points!!

Sarah has a part time job working as a line cook. She earns $56 a night plus 5% of the tips.

A- write an equation for Sarah’s total earnings, E dollars, when the tips are t dollars.

B- what will Sarah earn when the tips are $350? Explain your strategy

C- what were the nightly tips when Sarah earned $81? Explain your strategy

Thank you :]

Answers

Answer:

A: E = 0.05t +56

B: $73.50

C: $60.05

Step-by-step explanation:

A) I'll just explain the equation in one go

Equation: E = 0.05t + 56

0.05 - This is meant to represent the 5% of tips

5% = 5/100

5/100 = 0.05

56 - This is a set value that has been established as a constant, thus it simply needs to be added to the 5%

B+C) Since we already have the equation set up, we just need to plug in the variable, t.

B) E = 0.05(350) + 56

= 17.5 + 56

= 73.50

C) E = 0.05(81) + 56

= 4.05 + 56

= 60.05

Hope that does something to help, even though this was posted a while ago

In the triangle above, the console of p degrees is 0.8 what is the sine of q degrees

Answers

Answer:

Step-by-step explanation:

[tex]cosp=(8/10)\\ \\ p=cos^{-1}(8/10)\\ \\ q=90-p\\ \\ q=90-cos^{-1}(8/10)\\ \\ sinq=sin(90-cos^{-1}(8/10)\\ \\ sinq=(8/10)[/tex]

In the triangle above, the console of p degrees is 0.8. So, the sine of angle q is 0.6.

It seems like there is a description of a triangle with angles p and q, where the console of angle p is 0.8. However, the term "console" is not familiar in the context of trigonometry. I assume you meant "cosine" instead of "console."

If that's the case, let's proceed with the assumption that cos(p) = 0.8.

The cosine of an angle is the ratio of the adjacent side to the hypotenuse in a right-angled triangle. To find the sine of angle q, we need to use the Pythagorean trigonometric identity:

sin²(q) + cos²(q) = 1

We already know that cos(p) = 0.8, and since the sum of angles in a triangle is 180 degrees, we can find q:

q = 180 - p

Now, let's calculate sin(q):

sin²(q) + cos²(q) = 1

sin²(q) + (0.8)² = 1

sin²(q) = 1 - 0.64

sin²(q) = 0.36

Now, take the square root of both sides to find sin(q):

sin(q) = √0.36

sin(q) = 0.6

So, the sine of angle q is 0.6.

To know more about angle

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Given ΔABC, what is the value of x? Write the answer as a decimal number.

Answers

if the angle ABC is 90°, then x=8,9

PLEASE PLEASE HELP ITS TIMED I WILL GIVE 10 POINTS


Bria asked her classmates whether they prefer math or science. Nine of her classmates said math and eight of her
classmates said science. Which inequality correctly compares the fraction who prefer science to the fraction who
prefer math?

Answers

Answer:

8/17<9/17

Step-by-step explanation:

Might be wrong with my answer but my logic was that if there are 9 students who prefer math and 8 who prefer science, that there are 17 students total. If there are 17 students total the denominator should be 17. Since 8 of them prefer science, we can write that as 8/17 because 8 out of the 17 students prefer science. Similarly we can write the number of students who prefer math as 9/17 because there are 9 students out of 17 who do.

HELP URGENT NEED HELP
A pound of blueberries costs $3.98 and a pound of clementines costs $2.49. What is the combined cost of 0.6 pound of blueberries and 1.8 of clementines? Round your answer to the nearest cent.

Answers

0.6*3.98+1.8*2.49 =6.87 total cost

I need help asap!!!!

Answers

Answer:

150

Step-by-step explanation:

Hep me please this is to much

Answers

Answer:

b) 7

Step-by-step explanation:

Answer:

To make the sentences true the answer is 7

Step-by-step explanation:

8*7=56

56/8=7

NEED HELP MATH!!! 7TH GRADE

Answers

The scale drawing's measurements will be 1 inch by 0.8 inch.

The scale is 1 in: 10 feet; because the deck's real width is 10 ft, the scale can read 1 inch. To evaluate the width: 1/10 = x/8

Cross multiply:
1*8 = 10*x
8 = 10x


Divide both sides by 10:
8/10 = 10x/10
0.8 = x

The scale drawing's width would be 0.8 inches.

Joseph took out a loan from the bank to purchase a new car. The initial loan amount was for $25,000 with an interest rate of 3.5%. If Joseph takes 5 years to pay off the loan, what is the total amount he will have paid for the car?

Answers

3.5% • 5 = 17.5%

$25,000 • 17.5% = $437,500

i hope this is correct

Please help I don’t understand

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

A. 6 cm, 8cm, and 10 cm

Step-by-step explanation:

3. Armen los siguientes prismas a partir de los que construyeron con su material recor
table. Después calculen el volumen de acuerdo con las dos formas que se indican
Prisma
Por et
en el fonda, near ty api
quen la foto da alisema cavab
en el fin de pana
tados con los de sus compañeros llegaron al misino resultado​

Answers

Answer:

can you translate to english

Step-by-step explanation:

I can't understand

Which runs faster: a cheetah that can run 60 feet in 6 seconds or a gazelle that can run 100 feet in 10 seconds?

They run at the same speed.
A gazelle runs faster.
A cheetah runs faster.

Answers

Answer:

They run at the same speed

Step-by-step explanation:

First, you have to find a way seeing how fast both animals run in the same amount of time. You can find out how fast they both run in one second.

60 feet in 6 seconds is how many feet in one second? Well, you can do 60/6 (60 divided by 6) and you will see that in one second, the cheetah can run 10 feet

100 feet in 10 seconds is how many feet in one second? Same thing, you can do 100/10 (100 divided by 10) and you will see that the gazelle can run 10 feet in one second.

Finally, you compare the two answers from the two animals. For the cheetah, we learned that it can run 10 feet in one second, and for the gazelle, we learned that it can run 10 feet in one second. So, we know that they run at the same speed.

Thank you! Please let me know if this was helpful!

Answer:

Cheeta's speed = 10 feet per second

Gazelle's speed = 10 feet per second

Hence, They run at the same speed.

Step-by-step explanation:

Determining the Cheeta's speed:

Covered distance = 60 feet

Time taken = 6 seconds

Speed = Covered distance / Time taken

           = 60 / 6

           = 10 feet per second

Therefore, Cheeta's speed is 10 feet per second.

Determining the Gazelle's speed:

Covered distance = 100 feet

Time taken = 10 seconds

Speed = Covered distance / Time taken

           = 100 / 10

           = 10 feet per second

Therefore, Gazelle's speed is 10 feet per second.

Conclusion:

Cheeta's speed = 10 feet per second

Gazelle's speed = 10 feet per second

Hence, They run at the same speed.

Use the distributive property to rewrite each expression in it's equivalent form 9a-3/3 ,Just 3 please

Answers

hahahah i think i already did this for you buttttt

the denominator can be distributed to both parts of 9a and -3

so you can rewrite it as (9a/3) and (-3/3)

to simplify (9a/3) is equal to 3a and (-3/3) is equal to -1

so the answer is 3a-1

Age If you add Natalie's age and Fred's age, the result is 43. If you add Fred's age to 4 times
Natalie's age, the result is 79. Write and solve a system of equations to find how old Fred and
Natalie are.
Fred is
years old. Natalie is
years old.

Answers

Let’s take fred age as x and Natalie’s age as y.
So,
A/Q
X + Y = 43. Let it be eqution 1
and
X + 4Y = 79. Let it be equation 2


Combining equation 1 and 2, we get

( X + Y) + 3Y = 79
43 + 3Y = 79
3Y = 36
Y = 12

Now, evaluating the value of Y in equation 1 we get,

X + 12 = 43
X = 31

Therefore, Fred is 31years old and Natalie is 12 years old.
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