Find the equation of a line parallel to y + 9 = -3/2x that passes through the point (-8,9)

Find The Equation Of A Line Parallel To Y + 9 = -3/2x That Passes Through The Point (-8,9)

Answers

Answer 1
Parallel lines have equal slope but different y-intercepts.

slope intercept form:
y = mx + b (where m = slope
and b = y-intercept)

simply subtract 9 from both sides of the given equation to get slope intercept form of the first line:
y + 9 = -3/2x
y + 9 - 9 = -3/2x - 9
y = -3/2x - 9

so the slope (m) = -3/2

the problem tells us a point on the second line (x,y) or (-8,9)

and we now know slope is -3/2

so let’s plug those in and solve for the y-intercept (b) of the second line.

y = mx + b
9 = -3/2(-8) + b
9 = 12 + b
9 - 12 = 12 - 12 + b
-3 = b

so now we know the slope (m) of both lines is -3/2 and the y-intercept (b) of the second line is -3

all we have to do is use the information to establish slope intercept form of the equation of the second line:

y = mx + b
y = -3/2x - 3

The answer is: y = -3/2x - 3

check your answer by plugging the point (-8,9) back in to your equation

9 = -3/2(-8) - 3
9 = 12 - 3
9 = 9 [TRUE]

Related Questions

which one is the missing symbol.
4/5 ? 1/2

A. >
B. <
C. =

Answers

ANSWER: 1/2 < 4/5

SOLVING STEPS: rearrange from smallest to largest

The correct symbol in between numbers is,

⇒ 4/5 > 1/2

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ 4/5 and 1/2

Now, We can make denominator equal as;

LCM of 5, 2 = 10

Hence, We get;

⇒ 4/5

⇒ 8/10

⇒ 1/2

⇒ 5/10

Thus, We get;

⇒ 4/5 > 1/2

Therefore, The correct symbol in between numbers is,

⇒ 4/5 > 1/2

Learn more about the inequality visit:

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#SPJ7

A small bottle of shampoo can hold 35 milliliters of shampoo, whereas a large bottle can hold 500 milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy

Answers

Answer:

15

Step-by-step explanation:

500/35 approx 14.28

Always round up otherwise there won’t be enough

14.28 rounded up = 15

you leave your house and drive 7 miles north, then turn left and drive 24 miles west. how far are you from your house?

Answers

Now this question is a candidate for the Pythagorean Theorem :

According to the question (assuming that you're x miles away from your house) --

[tex]\implies{7}^{2} + {24}^{2} = {x}^{2} \\\implies625 = {x}^{2} \\\implies x = \sqrt{625} \\ \boxed{x = 25} [/tex]

(Rejecting x= - 25 because distance cannot be negative(atleast hypothetically))

Find the product


231 × 56 =

Say it in the comments because I cannot have access to the answer box looking. Thanks!

Answers

Answer:

12,936

I hope this Answer your question

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

(3x+50)°=(6x-10)°

3x-6x= -10°-50°

-3x/-3 = -60/-3

x=20

What is the value of n when 2/3 of n equals 42? Enter the answer in the box.

Answers

The value of n will be 63, we converted the word to mathematical expression then found n

Word Problem

When we see the word "of" in a mathematic expression, it simply means multiplication

Hence we have the mathematical expression for the word in our example as

2/3*n = 42

re-write

2n/3 = 42

cross multiplying we have

2n = 42*3

2n = 126

divide both side by 2 we have

n = 126/2

n = 63

Learn more about word problem here:

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What is the surface area of this design? (in the image)

Answers

★TSA=2(LB+BH+LH)

#1

L=4B=4H=6

TSA:-

2(4×4+4×6+4×4)2(16+16+24)2(56)112in²

#2

L=6inB=10inH=6in

TSA:-

2(60+60+36)2(120+36)2(156)312in²

Total:-

312+112=424in²

Here's a graph of a linear function. Write the
equation that describes that function Express it in slope-intercept form.

Answers

Answer:

The answer to the linear function is

y = 1/2x + 4

Find the inverse of the function
f (x) = -8x + 9

Answers

Answer:

[tex]y=\frac{x-9}{-8}[/tex]

Step-by-step explanation:

1. change f(x) to y

2. switch x and y

[tex]x= -8y+9[/tex]

3. solve for y

[tex]x-9=-8y[/tex]

[tex]y= \frac{x-9}{-8}[/tex]

Answer: y = (9-x) / 8

Step-by-step explanation:

set f(x) = y

y = -8x + 9

to find inverse repalce all y values with x and x values with y then solve for y again

x = -8y + 9

x - 9 = -8y

y = (x-9) / -8

distribute -1 through the numerator and make 8 positive

y = -x+9/8

y = (9-x)/8

Find the volume of the cone.
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.

Answers

Answer:

94.2 cm³

Step-by-step explanation:

Volume of cone= ⅓πr²h

Let's identify the radius of the base and the height of the cone!

r= 3 cm

h= 10 cm

Next, substitute r= 3 and h= 10 into the volume of cone formula.

Volume of cone

= ⅓(3.14)(3²)(10)

= 94.2 cm³

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Answers

Answer:

A.

Mean-103.0625

Median- 8, 9

Mode- 8, 1

B.

They should use the shoe size 6, because it has the most women waering it.

Your Welcome!

Step-by-step explanation:

Mean:-

5+5.5+6+6.5+7+7.5+8+8.5/854/86.9

Median:-

Total terms 8

Median =n/2th term +(n/2+1)th term

Median=6.5 and 7

Mode:-

No modes

HELP PLEASE?!!
Taking post test: exponential and logarithmic functions

Answers

Answer:

k = 2

Step-by-step explanation:

f(2) = 1
g(2) = 2

g(x) is double of f(x)

(18 POINTS) PLEASE ANSWER CORRECTLY :)

Write SSS, SAS, ASA, and AAS Congruence if they are congruent.​

Answers

Step-by-step explanation:

16

SSS

17

SAS

18

SSS

19

AAS

20

ASA

what is the value of x?

6(x-4)=10

Answers

Answer:

[tex]\boxed{\sf{x=\dfrac{17}{3}=5.6 }}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

⇒ 6(x-4)=10

First, divide by 6 from both sides.

⇒ 6(x-4)/6=10/6

Solve.

⇒ x-4=5/3

Add by 4 from both sides.

⇒ x-4+4=5/3+4

Solve.

5/3+4

4*3/3+5/3

4*3+5/3

4*3=12

12+5=17

x=17/3

Dividing is another option.

17/3=5.6

x=17/3=5.6

Therefore, the final answer is x=17=5.6.

I hope this helps you! Let me know if my answer is wrong or not.

A triangle has angle measures of 41 cm, and 24 cm. Find the measurement of the missing angle in the triangle.

Answers

Answer:

115

Step-by-step explanation:

41+24=65.

180-65=115

the tree diagram represents an experiment consisting two trials

Answers

Answer:

0.35

Explanation:

P ( B and D )0.5 * 0.70.35

Follow the branch B and then branch D

multiply both the selected probabilities to calculate total probability.

Answer:

0.35

Step-by-step explanation:

To find the probability of a sequence of events, multiply along the branches representing those events.

Therefore, P(B and D) = 0.5 x 0.7 = 0.35

** refer to the attached diagram **

Hurry ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A bag contains 6 blue coins and 5 red coins. A coin is removed at random and replaced by three of the other color. What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. The probability that the removed coin is blue is ...?

Answers

Answer:

6/11

Step-by-step explanation:

total number of coins = 11

number of blue coins = 6

p(blue) = 6/11

Answer:

heyy.

Step-by-step explanation:

HELP PLEASE!!!!!!!!!!!

The sum of all but one interior angle of an octagon is 776°. The measure of the final interior angle is ___ degrees.

Answers

the sum of all interior angles in a polygon, regular or not is

180( n - 2), n = number of sides

now, this is an octagon, with 8 sides, so it has a total of interior angles of 180( 8 - 2) or 180(6) = 1080.

we know the sum of all BUT one is 776°, so the last one must be 1080° - 776° = 304°.

What type of triangle is this?

Answers

We can classify triangles by their angles and their side lengths.

ANGLES:

---Acute = all angles in the triangle are less than 90 degrees

---Right = one angle in the triangle is equal to 90 degrees

---Obtuse = one angle in the triangle is greater than 90 degrees

SIDE LENGTHS:

---Equilateral = all side lengths of the triangle are the same

---Isosceles = two side lengths of the triangle are the same

---Scalene = no side lengths of the triangle are the same

In the given triangle, it has a right angle, which means that it must be a right triangle. Looking at the side lengths, none of them are the same (presumably), so it is also a scalene triangle.

Answer: right, scalene

Hope this helps!


Ken's employer deducts 0.2 times his
gross income in payroll taxes. What is
his net income if his gross income
is $271?

A) $206.80
B) $216.80
C) $265.58
D) $270.80

Answers

Answer:

B) 216.80

Step-by-step explanation:

hope this helps.

Rosa has a garden in the shape of a parallelogram she says she can find the perimeter of her garden by adding the two sides and doubling the sum is rosa correct

Answers

Rosa is correct. The perimeter of a parallelogram can be determined by  adding the two sides and doubling the sum.

What is a paralleogram?

A  parallelogram is a quadrilateral (a four-sided object) that is made up of parallel sides. Theopposite sides and angles are congruent .

The perimeter of the parallelogram is the distance round the shape. It is the sum of the four sides.

To learn more about the perimeter, please check: https://brainly.com/question/3205029

triangle ABC has vertices as points (-1,6), (-3,2), and (-9,5). what shape does this create

a) equilateral triangle
b) right triangle
c) isosceles triangle

Answers

Answer: b

Step-by-step explanation:

Graphing the triangle, we can see that it will be right.

pls help me dont bot me

Answers

Answer:

c

Step-by-step explanation:

Find the perimeter of composite figures

Answers

Answer: 15 ft

Step-by-step explanation:

You basically add all the sides:

3 + 3 + 3 + 3 +3 = 15 ft

And if you have to add 12 ft then the answer should be 27 ft in total.

I hope this helped!

Bilquis is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 29 meters from the building. The angle of elevation from her eyes to the roof ((point AA)) is 17∘
, and the angle of elevation from her eyes to the top of the antenna ((point BB)) is 31∘
. If her eyes are 1.51 meters from the ground, find the height of the antenna ((the distance from point AA to point BB)). Round your answer to the nearest meter if necessary.

Answers

Using relations in a right triangle, it is found that the height of the antenna is of 10 m.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, the vertical height from her eyes to the top of the antenna is the side opposite to the angle of 17º, while the adjacent side is the horizontal distance of 29 m, hence:

[tex]\tan{17^\circ} = \frac{h}{29}[/tex]

[tex]h = 29\tan{17^\circ}[/tex]

[tex]h = 8.87[/tex]

Adding the eye height:

h = 8.87 + 1.51 = 10.38 m.

Rounding to the nearest meter, the height of the antenna is of 10 m.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

Answer:

9

Step-by-step explanation:

I just took the test.

can y’all help me answer question 4 pleas e

Answers

Answer:

b = a + 13

Step-by-step explanation:

bc 1 + 13 = 14

Hope this helps !

use a distribute propety for the equiotion 25- (3x+5 ) =2(x +8)+x

Answers

Answer:

x=2/3

Step-by-step explanation:

25-(3x+5)=2(x+8)+x

25-3x-5=2x+16+x

20-3x=3x+16

20-3x-3x=16

20-6x=16

6x=20-16

6x=4x=4/6

simplify

x=2/3

Answer:

x=2/3

Step-by-step explanation:

HURRY ONLY HAVE 1 MIN!!!!!!!!!!!!!!!!
A rectangular prism is 2 meters long, 5 meters wide, and has a height of 10 meters. What is its volume?

70 m 3
190 m 3
100 m 3
50 m 3

Answers

Answer:

100 m3

Step-by-step explanation:

2*5*10 = 10*10 *100

someone help me please

Answers

Answer:

The answer is 40^1/2

Step-by-step explanation:

The square root's value is - 1/2

so  √4 = 4^1/2

please fund the area

Answers

Answer:

48 sq m

Step-by-step explanation:

Given quadrilateral is a parallelogram.

Here,

Base = 8 m

Height = 6 m

Area of parallelogram = Base * Height

-> Area = 8 * 6 = 48 sq m

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