Write the equation of the line through the given point. Use slope-intercept form.
3
(-4,6); perpendicular to y = -
2x+3
Write an equation for the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation)

Answers

Answer 1

Answer:

2y=x+16

Step-by-step explanation:

condition for a perpendicular line to the previous line is that the gradient M1=-1/M2. looking at the question above the equation of the line given y=-2x+3 that is the first M1=-2. so to get the gradient M2 of the line perpendicular, then M2=-1/-2=1/2. so M2=1/2. so the equation of the new line is y=1/2x+C. so we can find C. since the line passes through (-4,6). when x=-4, y=6, 6=1/2(-4)+C..C=6+2=8. so the equation of the new line y=1/2x+8 we can multiply via 2. so we have 2y=x+16

the equation is 2y=x+16


Related Questions

A ball is thrown into the air with a velocity of 34 ft/s. It's height in feet after t seconds is given by y=34t-26(t)^2. Find the avg velocity for the time period beginning when t(0)= 3 seconds and lasting for the given time t= .01 seconds: ???

Answers

Answer:

The average velocity of the ball at the given time interval is -122.3 ft/s

Step-by-step explanation:

Given;

velocity of the ball, v = 34 ft/s

height of the ball, y = 34t - 26t²

initial time, t₀ = 3 seconds

final time, t = 3 + 0.01 = 3.01 seconds

At t = 3 s

y(3) = 34(3) - 26(3)² = -132

The average velocity of the ball in ft/s is given as;

[tex]V_{avg} = \frac{y(3.01)-y(3)}{3.01 -3}\\\\V_{avg} = \frac{34(3.01)-26(3.01)^2-y(3)}{3.01 -3}\\\\V_{avg} = \frac{-133.223-y(3)}{0.01}\\\\V_{avg} = \frac{-133.223-(-132)}{0.01}\\\\V_{avg} =\frac{-1.223}{0.01}\\\\V_{avg} = -122.3 \ ft/s[/tex]

Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s

HELP PLEASE this is for math

Answers

Answer:

70

Step-by-step explanation:

Step 1:

a² + b² = c²

Step 2:

56² + 42² = 4900

Step 3:

4900 ÷ 70 = 70

Answer:

70

Hope This Helps :)

Solve for x (5x-17)+(3x-11)=180

Answers

Answer:

Step-by-step explanation:

5x - 17 + 3x - 11 = 180

8x - 28 = 180

8x = 208

x = 26

Answer:

The answer would be x=26

Step-by-step explanation:

Combine like terms.
2y2 – 5+1 + 2y2 – 6y2 – 3 – 4y
ASAP
someone help please

Answers

Answer:

-2y2 - 4y - 7

Step-by-step explanation:

2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1

4y2 - 6y2 - 4y - 8 + 1

-2y2 - 4y - 7

Answer:

3x 2 + 19 i think thats the answer

Pls help me quickly

Answers

9^3 is in exponential form

Answer:

[tex] {9}^{3} [/tex]

Step-by-step explanation:

[tex]9 \times 9 \times 9 \\ = {9}^{3} [/tex]

Is 80 a rational number

Answers

Answer:

Yes

Step-by-step explanation:

Yes, 80 can be written in the form a / b where a and b are integers. In this case, a = 80 and b = 1. Plus, 80 itself is an integer and all integers are rational numbers.

Please help me I’ll mark brainliest for whoever answers

Answers

Step two is wrong, the answer would have been 9 instead of 8.

Answer:

Step 2 is incorrect

Step-by-step explanation:

8d = 72

Divide each side by 8

8d/8 = 72/8

d = 9

Step 2 is incorrect

Steve biked 8.4 miles, which was 1.8 miles fewer than Rhonda biked. He wants to write and solve an equation to find r, the number of miles that Rhonda biked. Which are part of the solution? Check all that apply.

Answers

8.4-r=1.8
1.8+R=8.4
8.4-1.8=R

Answer: The correct answer would be B,D,E

Step-by-step explanation: I AM TAKING THE TEST

86.23 ounces -67.74 ounces

Answers

Answer:

18.49 ounces

Step-by-step explanation:

Use the graph of the floor function to complete the statements. Over the interval , y = 2. For an input value of –1.5, the corresponding output value is

Answers

Answer:

over the interval [2,3)

for an input value of 1.5, the corresponding output value is -2

Step-by-step explanation:

What types of symmetry does a triangle have

Answers

Answer:

Equilateral Triangle, Isosceles Triangle, Scalene Triangle

Step-by-step explanation:

Equilateral: 3 lines of symmetry

Isosceles: 1 line of symmetry

Scalene: no lines of symmetry










I neniaosizisuzuizkI woaiisyzyzusuauau wosisiiJa

4230 estimated please ??????????????

Answers

Answer:4200

Step-by-step explanation:

answer would be 4200

Simplify 2squareroot -19+44

Answers

-19+44

-361+1936

1575

therefore 2 squareroot-19+44

=1575

Can someone answer this

Answers

y=2/3x -4 . First, you look for the y when x=0. Then you try to find the best variation

Answer:

y=2/3-4

Step-by-step explanation:

Naja is paid p dollars per hour she works. For every hour she works over 40 hours, she is paid time and a half which means she is paid 1.5 times her normal hourly rate. She worked 50 hours last week. The following is a model of this situation.

Answers

Answer:

40p + 10 (1.5p)

Step-by-step explanation:

= 40 · p + (50-40) · (1.5p)

= 40p + 10 (1.5p)

Round 452,489 to the nearest thousand.
O 500,000
0 453,000
450.000
452.000

Answers

It is option 4. 452,000. Because you are below 500, meaning you round down.

Write (-infinity, -3) as an inequality.
X <-3
X > -3
x <_ -3
X >_ -3

Answers

Answer:

x < - 3

Step-by-step explanation:

Given the interval (- ∞, - 3 )

The parenthesis on both ends indicates that x cannot equal the end values.

Thus

x < - 3 represents the interval

The balance of your savings account is 208$ more than it was 4 years ago. The current balance is $4709. What was the balance 4 years ago?

Answers

Answer:

$4501

Step-by-step explanation:

Since we are already given the amount gained in 4 years, we simply need to subtract the same amount to find the balance 4 years ago.

4709-208=4501

$4501

3^2 • 3^-8 • 3^0
i need help with this asap

Answers

Steps to solve:

3^2 • 3^-8 • 3^0

~Apple exponent rule [ a^b * a^c = a^b+c ]

3^2-8+0

~Simplify

3^-6

~Use exponent rule [ a^-b = 1/a^b ]

1/3^6

~Simplify

1/729

Best of Luck!

Answer:

3^-6 which equals 1/3^6

Step-by-step explanation:

all you do is add the exponents.

3^0 is equal to 0 so that one doesn't matter, you just cross it out.

now you're left with 3^2x3^-8

so add 2+(-8) which is -6 so the answer is: 3^-6

since the exponent is negative, you put a 1 above the problem, making it a fraction: 1/3^-6

What is the slope-intercept form equation of the line that passes through (5.7) and (8, 22)?

A) y=-5x+18
B) y=5x+18
C) y=5x-18
D) y=-5x-18

Answers

hsisnzb ok ok hello ok

Answer:

C . y= 5x -18

Step-by-step explanation:

[tex](5,7) = (x_1 ,y_1) \\ (8,22)=(x_2,y_2)[/tex]

Plug in the values into the following equation

[tex] \frac{y - y _1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \frac{y - 7}{x - 5} = \frac{22 - 7}{8 - 5} \\ \frac{y - 7}{x - 5} = \frac{15}{3} [/tex]

Cross Multiply

[tex]3(y - 7) = 15(x - 15) \\ 3y - 21 = 15x - 75[/tex]

Collect like terms and simplify

[tex]3y = 15x - 75 + 21 \\ 3y = 15x - 54[/tex]

Divide through by 3

[tex] \frac{3y}{3} = \frac{15x}{ 3 } - \frac{54}{3} \\ y = 5x - 18[/tex]

6x>-18 HELPPPPP!!! PLEASEEEE

Answers

Answer:

Hey there!

6x>-18

Divide by 6 on both sides

x>-3

Let me know if this helps :)

3km: 500m in lowest terms.

Answers

Answer:

6:1

Step-by-step explanation:

To write 3km: 500m in its lowest terms. we need to make sure the units are the same.

Converting 3km to metres:

Since 1km = 1000m

3km = (3*1000)m

3km = 3000m

The expression becomes 3000m:500m

3000m:500m = 3000/500

3000m:500m = 6*500/500*1

3000m:500m = 6/1

Hence 3km: 500m in its lowest term is 6:1

(01.05 MC)Which fraction is equivalent to 2 over negative 6?

Answers

Answer:

1/(-3)

Step-by-step explanation:

Simplify the following:

2/(-6)

Hint: | Reduce 2/(-6) to lowest terms. Start by finding the GCD of 2 and -6.

The gcd of 2 and -6 is 2, so 2/(-6) = (2×1)/(2 (-3)) = 2/2×1/(-3) = 1/(-3):

Answer: 1/(-3)

HELP ASAP PLEASE
List the numbers from LEAST to GREATEST
22/25, 8/9, and 0.8888

Answers

Answer:

I think its 22/25 , 0.8888, and then 8/9

Step-by-step explanation:

first convert them to decimals

can i get brainliest

Find a pattern for each sequence. Use the pattern to show the next two terms.

2, 6, 7, 21, 22, 66, 67, ..., ...​

*urgent*

Answers

3x, +1
The next two patterns are 201, 202

can you simplify a chain of if then statements? if so what do we call it?

Answers

A conditional statement (also called an If-Then Statement) is a statement with a hypothesis followed by a conclusion. ... The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement.

(a​ 2​− b) ÷ 6; use a = 5, and b = 1

Answers

Remplace the values!!!
((5)2-1) divided 6
9 divided 6
3/2 or 1,5

Which graph represents the solution to the inequality y is less than or equal to 1/2x -4

Answers

Answer:

the graph you are looking for should look like this!

Step-by-step explanation:

hope this helped!

(hint* if you are ever in trouble use desmos! its a free online graphing calculator and HELPS SOO much! its what i used to give you the answer, i just typed in the inequality and it tells you the answer)

The shaded region represents the possible solutions of the inequality.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is the inequality -

y ≤ (1/2)x - 4

Refer to the graph of the inequality attached. It is showing the inequality being plotted. The shaded region represents the possible solutions of the inequality.

Therefore, the shaded region represents the possible solutions of the inequality.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

What is the correct classification for JML?

Answers

Answer:

Option (2)

Step-by-step explanation:

From the picture attached,

m∠JKL = m∠JMK + m∠KML

Since, m∠KML + m∠HML = 180° [Linear pair of the angles]

m∠HML = 180° - m∠KML

              = 180° - 132°

              = 48°

Therefore, m∠JML = 41° + 48°

                               = 89°

Since measure of angle JML is less than 90°, by definition of an acute angle it will be an acute angle.

Option (2) will be the answer.

Answer:

The answer is acute bru

Step-by-step explanation:

what is r to the power of 5 times r to the power of 9​

Answers

Answer:

r^14

multiply r^5xr^9 by adding the exponents

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