What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2,4)?

Y=-5/2x-1

y=-5/2x+5

y=2/5x-1

Y=2/5x+5

Answers

Answer 1

Answer:

y=-5/2x-1

Step-by-step explanation:

change the equation to slope intercept form

y=-5/2x+6

graph the point (-2, 4)

use the slope of the equation to find the y intercept

y intercept = -1

write equation of the parallel line using the same slope of the first line

-5/2x

and the y intercept of the new parallel line -1

y=-5/2x-1


Related Questions

can someone please help me with this I'm struggling. ​

Answers

Answer:

x= 6°

Step-by-step explanation:

∠DEF +∠EFD= ∠EDG

(ext. ∠= sum of int. opp ∠s)

9x +7° +70°= 21x +5°

21x -9x = 77° -5° (bring x terms to one side)

12x= 72° (simplify)

x= 72° ÷12

x= 6° (simplify)

Ian needs to replace two concrete sections in his sidewalk, as modeled below. Each section is 36 inches by
36 inches and 4 inches deep. He can mix his own concrete for $3.25 per cubic foot. How much money will it cost Ian to replace the two concrete sections?

Answers

Answer: $19.5

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a rectangular prism = width x length x height

Replacing with the values given:

Since 1= 1/12 foot

36 in /12 = 3 foot  (length and wifth)

4 in /12 = 1/3 foot  (height)

V = 3 x 3 x 1/3 = 3ft3

Next, we multiply it by 2 (since there are 2 sections):

3 x 2 = 6 ft3

Finally we multiply it by the cost of each cubic foot:

6 x 3.25 = $19.5

Feel free to ask for more if needed or if you did not understand something.

A parallelogram has
four sides that are the same length. Is it a square?
Explain how you know.​

Answers

Answer:

Step-by-step explanation:

Yes it is

Answer:

yes

Step-by-step explanation:

because a square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with four equal sides.

also can u plz mark me as brainliest ;w; ^w^

what is the volume of this figure ??

Answers

Answer:

210 cm³

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh

where l is the length, w is the width, and h is the height

Let's substitute the given values into this equation:

V = lwh

V = (5)(6)(7)

Multiply:

V = (5)(6)(7)

V = (30)(7)

V = 210

Therefore, the volume of the prism is 210 cubic centimeters.

the table shows the time 50 students spent on their homework.

time (t) in minuets frequency

0 ≤ t < 30 /7

30 ≤ t < 60 / 27

60 ≤ t < 90 / 12

90 ≤ t < 120 /4

work out an estimate for the mean time the students spent on their home work.

Answers

Answer: Mean = 52.8 mins

Step-by-step explanation:

We have lapses of 30 minutes, so we can write the average for each, this means that:

0 < t < 30 can be averaged to the middle of the range: 15 min.

Doing this, we have that:

7 students 15 min

27 students 45 min

12 students 75 min

4 students 105 min.

Now we can calculate the mean:

mean = (x1*n1 + x2*n2 + ...)/N

where x1 is the amount of time 1, and n1 is the number of students associated to that time and so on. N is the total number of students

Mean = (7*15min + 27*45min + 12*75min + 4*105min)/(7 + 27 + 12 + 4)

Mean = 52.8 mins


Of the 20 plants in Melissa's
vegetable garden, 7 are herbs.
What percent of the plants in
Melissa's garden are herbs?

Answers

Answer:

35 % are herbs

Step-by-step explanation:

7    = 35

20  = 100

Which statement is true regarding the parallel and
perpendicular lines in the diagram?
Ok || n and w
m
Ok | nand n
Im
Ο ω
n and n
IL
m
1
Ow || n and w
1
m

Answers

Answer:

the first one

Step-by-step explanation:

The correct option is B, k || n and n ⊥ m statement is true regarding the parallel and perpendicular lines in the diagram.

What is coordinate system?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.

Parallel lines are lines in a plane that are always the same distance apart.

The perpendicular lines are two lines that intersect each other and the angle formed between the two lines should be equal to 90 degrees

When the distance between the lines is constant then the lines are called parallel lines.

The lines do not intersect when they are separated from each other. And the slope of the lines is equal.

In the graph, the line k is parallel to the line n and the line n is perpendicular to line n.

k || n and n ⊥ m.

Hence, the correct option is B, k || n and n ⊥ m statement is true regarding the parallel and perpendicular lines in the diagram.

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helphelphelphelphelphelphelphelphelphelp

Answers

Answer:

8*15 + 3*5

Step-by-step explanation:

The CD's are 15 dollars each

She buys 8

8*15

The tapes are 3 dollars each

She buys 5

3*5

Add them together

8*15 + 3*5

4)
Express in simplest form:

Answers

A /b = 4 +c so the answer is 40

can anybody answer this pls.

Answers

Answer:

Pls attach an image

Step-by-step explanation:

Press the paperclip and attach an image

Hope this helps!!!

Use the unit circle to find the following values.
1. sin 150
2. tan 315
3. cot 11pi/6
4. cos 2pi/3

Answers

Where is the circle

3. Juanita wants to buy a computer. She needs to earn at least 400 dollars. If she makes 9
dollars an hour and has already saved 40 dollars, how many hours does she need to
work?

Answers

Answer:

40 hours

Step-by-step explanation:

9x + 40 = 400 (with x being how many hours she has worked). We get rid of the 40 on both sides by subtraction. Our new equation is 9x = 360. Now we divide 9 on both sides and we learn that x = 40.

what is the sum of 9/16 and 5/16?​

Answers

Answer:

7/8

Step-by-step explanation:

sum = answer to an addition problem

This means we need to add.

To add fractions with like denominators, simply add the numerators, or the numbers above the fraction sign.

9/15 + 5/16

9 + 5 = 14

numerator = 14

Keep the denominator:

denominator = 16

14/16

Simplify:

(divide the numerator and denominator by 2)

14/2 = 7

16/2 = 8

7/8

Therefore, the sum is 7/8.

The sum of the two fractions shown of 9/16 and 5/16 is 7/8.

When adding fractions, if they have the same denominator, you can simply add up the numerators and keep the denominator.

This means that the sum of 9/16 and 5/16 is:

= (9 + 5) / 16

= 14 / 16

You then need to take this to its simplest form by dividing both the numerator and denominator by their highest common factor which is 2.

= (14 ÷ 2 ) / (16 ÷ 2)

= 7 / 8

In conclusion, the sum of these fractions is 7/8.

Find out more at https://brainly.com/question/22243648.

Old McDonald had a farm. In one pen the old farmer had chickens and bulls together. In that pen there were 40 animals in total, but there were 130 legs. Can you figure out how many chickens and bulls are in that pen?

Answers

Answer:

There are 15 numbers of chicken and 25 numbers of bulls.

Step-by-step explanation:

The pen had chickens and bulls.  The pen contains 40 animals in total. The number of legs in the pen is 130 .

Let

a = number of chicken

b = number of bull

a + b = 40................(i)

A chicken has 2 legs and a bull has 4 legs.

The total legs can be represented as

2a + 4b = 130...........(ii)

combine the equation

a + b = 40................(i)

2a + 4b = 130...........(ii)

a = 40 - b

insert the value of a in equation(ii)

2(40 - b) + 4b = 130

80 - 2b + 4b = 130

80 + 2b = 130

2b = 130 - 80

2b = 50

divide both sides by 2

b = 50/2

b = 25

Insert the value of b in equation (i)

a + b = 40

a + 25 = 40

a = 40 - 25

a = 15

There are 15 numbers of chicken and 25 numbers of bulls.

Please help i think i know the answer but im not sure

Answers

Answer:

A. 15 sq in

Step-by-step explanation:

So it wants to know the area of the yellow face: we have to subtract that chunk cut out of the bottom right from the larger rectangle.

Area = length x width = 4*4 = 16 sq in. This is the area of the larger rectangle.

Area = length x width = 1*1 = 1 sq in. This is the area of the rectangle that's cut out of the yellow area.

16 - 1 = 15 sq in

Answer: i feel like it's 15 length x width x height 4, 8, 12+3=15

Step-by-step explanation:

I need to find AB. The options are

A. 25m
B. 64m
C. 32m
D. 30m

Answers

for me the answer to that is c

rachel's rectangle has either 2 pairs of dides the same length or all sides the same length? true or false

Answers

Answer:

false

Step-by-step explanation:

Answer:

It is false

Hope this helps :)

Please mark me brainliest

BRAINLIEST IF ALL ARE CORRECT!

A) How many 4-digit numbers are multiples of BOTH 2 and 5?
B) How many 4-digit numbers are multiples of at least one of these two numbers: 2, 5?
C) How many 4-digit numbers are neither multiples of 2 nor multiples of 5?

Answers

Answer:

A) 900

B) 5400

C) 3600

Step-by-step explanation:

A) Number of 4 digit multiples of 5:

(9999-1000+1)/5= 1800

[I added one to the 9999-1000 because it includes 9999]

Now, out of those 1800 numbers that are divisible by 5, 900 of them are even. (so they are divisible by 10 [or 5 and 2])

Therefore, the answer to A is 900

B) Number of 4 digit multiples of 2:

(9999-1000+1)/2= 4500

This means that there are 4500 even 4 digit numbers.

We have already figured out that there are 900 numbers that are divisible by both 5 and 2. 1800-900=900 4-digit numbers that are not divisible by 2, but are divisible by 5.

So if we add the 4500 (numbers that are divisible by 2) and the 900 (numbers that are only divisible by 5, but not 10), we get 5400.

C) There are 9999-1000+1= 9000 4-digit numbers. We know that there are 5400 numbers that are divisible by either 5 or 2, so 9000-5400=3600

Feel free to ask any questions! :)

Answer:

Yeet so you can give him

Step-by-step explanation:

Solve this please with an explanation of process your finding the values of x and y

Answers

Congruent sides, so isosceles triangle.  When we have an isosceles triangle the bisector of angle A is a perpendicular bisector of BC with foot D.   So x=ADB=90 degrees.

Angle B is 47 degrees and angle y=BAD is complementary, the other acute angle in a right triangle.

y = 90 - 47 = 43

Answer: x=90, y=43

Is this right if not correct answer plzzz

Answers

Answer:

± 14.

Step-by-step explanation:

If we plug √196 into the calculator, we get 14.

However, every square contains a negative square root as well since multiplying two negative numbers together results in a positive number.

Therefore:

Both 14 × 14 and -14 × -14 are equal to 196.

Which equation represents a function?
A) x = 4y + 7
B) y2 = -5x - 8
C) x2 + y2 = 16
D) y = ±2x + 3

Answers

Answer:

d y = 2x+3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Please help box and whisker plot

Answers

Answer:

50%

Step-by-step explanation:

For each line it represents 25% so half of the data is on the opposite side of 60.

-4x - 9y = 26
8x +9y = -34
Add to eliminate y.
Subtract to eliminate y.
Add to eliminate x.
Subtract to eliminate x.

Answers

Answer:

add to eliminate y

Step-by-step explanation:

Because the one y is negative, you would add it to the positive y to eliminate both. A positive plus a negative is the same as subtracting from the positive number.

ex: [tex]10+-5=5[/tex] because [tex]10-5=5[/tex]

hope this makes sense :)

Answer:

Add to eliminate y

Step-by-step explanation:

This is because you'll want to add

-4x -9y = 26

8x +9y = -34

to get rid/eliminate the y

The reason why it's not subtract it because the it'll become

-4x-9y=26

-8x-9y=34

which makes the y-values not the reciprocal of each other and you wouldn't be able to eliminate the y.

And it's neither of the add or subtract to eliminate x because the numbers need to be the same numbers and reciprocal of each other

ex:

4 and -4

or

8 and -8

or

-10 and 10

A circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 3 m wide. Find
the area of the sidewalk in square meters. Use 3.14 for 1.
The area of the sidewalk is m?.
(Round to the nearest whole number as needed.)

Answers

Answer:

424

Step-by-step explanation:

pie r squared is area of a circle

21(squared)x3.14=1385

minus this from 24squaredx3.14 =1809

1385-1809=424

The area of the sidewalk is 226.08 m²

What is an area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

The space enclosed by the boundary of a plane figure is called its area.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

Area is measured in square units like cm² and m².

Given that, a circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 3 m wide. We need to find the area of the sidewalk.

To find the same, we will subtract the area of the inner circular region from  the outer circular region,

The radius of the outer circular region = 21/2+3 = 10.5+3 = 13.5 m

The area of the sidewalk = πR²-πr², where R = radius of outer region and r = radius of inner region

= 3.14(13.5²-10.5²)

= 3.14 x 72

= 226.08 m²

Hence, the area of the sidewalk is 226.08 m²

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Figure b is a scale image of figure a as shown:enter the scale factor applied to figure a to produce figure b

Answers

Answer:

figure B is a scale 3:1 image of figure A

Step-by-step explanation:

9/3=3

15/5=3

12/4=3

scale 3:1

Hence triangle is scaled by multiple of 3.

What is scaled image ?

When we talk of two triangles ABC and DEF, they are said to be scaled if both they follow [tex]\frac{A}{D}= \frac{B}{E} =\frac{C}{F}[/tex] where all sides have same common difference.

How to solve?

Let triangles with sides 12,15,9 be ABC and triangle with sides  4,5,3 be DEF.

Now A/D=12/4=3

similarly B/E=15/5=3

and C/F=9/3=3

Hence , triangle is scaled by multiple of 3.

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2xyx + 3z - z when x = -1 and y = -2 and z = 3

Answers

Brainiest please

Answer:

2

Step-by-step explanation:

2(-1)(-2)(-1)+3(3)-3= 2

Hope this helps you

Please, I need this right

Answers

Answer:

x = 58

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

114 = 56+x

Subtract 56 from each side

114 -56 = x

58 = x

Plz answer this 6th grade question

Answers

Answer:

the answer is 12 times

Step-by-step explanation:

to get from 2 to 6, you have multiply 2 by 3 for 6. so 4 times 3 is 12, and also just 6 times 2 can do it too!

If 2a=3b and 4a+b=21, then b =

Answers

Answer:

b=3

Step-by-step explanation:

2a=3b and 4a+b=21,

Multiply the first equation by 2

2(2a) = 2*3b

4a = 6b

Substitute this into the second equation

4a+b = 21

Replace 4a with 6b

6b+b = 21

Combine like terms

7b = 21

Divide each side by 7

7b/7 = 21/7

b = 3

which quadrilateral has equal diagonals
A.parallelogram
B.rhombus
C.trapezoid
D.rectangle
E.none

Answers

Answer: D

Step-by-step explanation:

All of it’s angles are equal

Answer: A:Parrallelogram

Step-by-step explanation:

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