What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
O y=-5/2x-1
O y= -5/2x+ 5
O y=2/5x-1
O y=2/5x+5

Answers

Answer 1

Answer:

[tex]y = -\frac{5}{2}x-1[/tex]

Step-by-step explanation:

5x + 2y = 12

2y = -5x + 12

[tex]y = -\frac{5}{2}x +6[/tex]

Parallel lines have the same slope so the -5/2 remains. Just remove the b value (6) and plug in (-2,4) to the x and y spots.

[tex](4) = -\frac{5}{2}(-2) + b[/tex]

4 = 5 + b

b = -1

The new equation is [tex]y = -\frac{5}{2}x-1[/tex]


Related Questions

2% of 4,100 friends is

Answers

82

Hope this helps you!

WORTH 35 POINTS!!! Annie’s dad travels for business. On Monday, he drives for 4 hr. at a constant rate of 55 mph to meet with a customer. On Tuesday, he drives 3 hr. at a constant rate of 50 mph to meet with his district sales manager. On Wednesday, he drives 2 hr. at a constant rate of 60 mph to pick up supplies at the warehouse. How many miles does Annie’s dad drive total before he heads for home?
A. 120 mi.
B. 150 mi.
C. 220 mi.
D. 490 mi.

Answers

Answer:

220mi

Step-by-step explanation:

Annie's dad drove a total of 490 miles before heading home. The correct option is D.

What is the distance?

Distance is defined as the product of speed and time.

We can use the formula distance = rate x time to calculate the distance for each day.

On Monday, he drove for 4 hours at 55 mph, so the distance he traveled was:

distance = 55 mph x 4 hours = 220 miles

On Tuesday, he drove for 3 hours at 50 mph, so the distance he traveled was:

distance = 50 mph x 3 hours = 150 miles

On Wednesday, he drove for 2 hours at 60 mph, so the distance he traveled was:

distance = 60 mph x 2 hours = 120 miles

To find the total distance, we can add up the distances for each day:

220 miles + 150 miles + 120 miles = 490 miles

Therefore, Annie's dad drove a total of 490 miles before heading home.

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A building that is 90 feet tall cast a shadow 30 feet long what is the angle of elevation of the sun

Answers

Answer: 10%

decimal form: 0.1

PLEASE HELP 10 POINTS

Answers

Answer:

27

Step-by-step explanation:

28 hope it helps you

help asap pls! A fish tank is shaped like a rectangular prism.

The area of the base of the fish tank is 6 1/8 square feet.
The height of the fish tank is 3 1/2 feet.

What is the volume, in cubic feet, of the fish tank?

A. 18 1/16


B. 21 7/16


C. 75 1/32


D. 131 39/128

Answers

Answer:

A. Makes the most sense. If you are using multiplication you'd get 18 1/16

3. Find the sum of the arc measures:
mBD +
MAC
Check
Intro

Answers

Answer: 210

the sum of the arc measures mBD + mAC =210

have a good day :,)

If you failed a math test, what are 2 things that you can do to prevent your careless errors?​

Answers

Answer:

1) use a calculator

2) use desmos which is an online graphing calculator (trust me it will help you)

3) Do lots of practice (I know that you probably don't like to practice, but if you practice then you will prevent lots of careless errors because you will have more experience)

4) Pay attention to your teacher

5) When taking a test, try to avoid all distractions and focus on your test.

Answer:

For me, it really helps to go back and see what i got wrong, check where i made the mistake and solve it again. I think you need to know the basic concept before moving on since math builds on itself. If you have a teacher i think it would really help if you talk to them too, they may have some good tips to help you :)

A lawn sprinkler turns in one-degree sections at a time. It has moved 135
times. What is the sum of the measures of the angles, which the sprinkler
has turned?

Answers

Answer:

the answer is 3

Step-by-step explanation:

GH is tangent to both circle A and circle E. Determine the length of HE.
01) 27 units
2) 3 units
03) 1.8 units
4) 4 units

Answers

Answer:

3 unit is the correct answer

Answer:

3 units

Step-by-step explanation:I took the test

HELP MARK BRAINLIEST!

Answers

Answer:

y = -4/3x - 1

A football is kicked from the ground so that its height n (in feet) t seconds after being kicked is given by h(t) = –16+48t.
How long will it take to reach a height of 32 feet?

Answers

Answer:

h(t) = –16+48t

h(32)=-16+48(32)

h(32)=-16+ 1536

h(32)= 1520seconds

Step-by-step explanation:

If one-fourth of 2^30 is equal to 2^x, what is x?

Answers

Answer:

28

Step-by-step explanation:

1/4 can be rewritten as  1 / (2^2)

or 2^-2.

using the 2nd form,

we have 2^-2 * 2^30 = 2^x

By exponent rule

2^28 = 2^x

So we can observe now that x = 28

Answer:

23

Step-by-step explanation:

Which two statements describe processes most likely to be involved in the
formation of sedimentary rock?
A. Windstorms blow regularly near rocky cliffs.
B. Rivers flow across many miles into a body of water.
C. A volcano erupts near a coastline.
D. Tectonic plates push on each other underground.

Answers

I think is c,,,,,,,,,,,,,,

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A and B

Step-by-step explanation:

A and c sorry if wrong

plz help meh

evaluate 4^3 / 4^5

Answers

When dividing powers that have the same base, subtract the exponents.

So 4³/4⁵ is the same as 4³ ⁻ ⁵ or 4⁻².

When we have a base taken to a negative exponent,

it means the same thing as 1 over the base to the positive exponent.

In other words, we can rewrite 4⁻² as 1/4² or 1/16.

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{\dfrac{4^3}{4^5}}\\\\\mathsf{= \dfrac{4\times4\times4}{{4\times4\times4\times4\times4}}}\\\\\mathsf{= \dfrac{16\times4}{16\times16\times4}}\\\\\mathsf{= \dfrac{64}{256\times4}}\\\\\mathsf{= \dfrac{64}{1,024}}\\\\\mathsf{= \dfrac{64\div64}{1,024\div64}}\\\\\mathsf{= \dfrac{1}{16}}}\\\\\mathsf{= \dfrac{1}{4^2}}\\\\\\\huge\text{Therefore, your answer should be:}\\\\\huge\boxed{\mathsf{\dfrac{1}{16}\ or\ \dfrac{1}{4^2}}}\huge\checkmark\\\large\text{Both should work because they are equal to each other}[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

A roller coaster is 50 feet above the ground and then drops to 18 feet below the ground. What is
the total distance of the roller coaster's drop?

Answers

Answer:

68

Step-by-step explanation:

50+18

Mari left a tip of $14.00 for a meal that cost $69.00. Approximately, what percent of the tip did she leave?

Answers

14/69*100=20.29% this is the Answer

GIVING BRAINLIEST TO BEST ANSWER

The triangle ΔKUB is located at K(−4, 3), U(−1, 6) and B(2, 0).

It is rotated 90° counterclockwise about the origin.

What are the coordinates of ΔK' U' B' ?

Answers

Answer:

the triangle would be located at 3783<%*

A can of mushrooms cost 80 cents and a can of fruit cocktail cost 90 cents.
How much money did Mr. Franz spend? Express your answer in terms of x
in dollars.

Answers

$1.70? Hope this helps

Which table of values can be defined by the function y=6x-2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
i’ll clean the screen later.

Answers

Answer:

It’s B don’t have time to explain but it’s b

Step-by-step explanation:

What is the measure of b in degrees?

Answers

Answer:

the measure of b in degrees is 32°

It’s 32 degrees (A)

Which expression is equal to (6x−4)(3x−1)?

18x2+18x−4
9x2−6x−5
18x2−18x+4
18x2−18x−5

Answers

The equivalent of the given expression (6x−4)(3x−1) is 18x² - 18x + 4.

Hence, option C)18x² - 18x + 4 is the correct answer.

What is the equivalent of the given expression?

FOIL Method is simply a method used to multiply binomials where one multiply first terms and then the outside terms, next,  inside terms and then last terms, and finally, combine like terms.

Given the expression in the question;

(6x−4)(3x−1)

Expand using FOIL method, apply the distributive property.

(6x−4)(3x−1)

6x( 3x − 1 ) - 4( 3x − 1 )

(6x × 3x ) + ( 6x × -1 ) - ( 4 × 3x ) - ( 4 × -1 )

Simplify

(6x × 3x ) + ( 6x × -1 ) - ( 4 × 3x ) - ( 4 × -1 )

18x² + (-6x) - (12x) - (-4)

Remove parenthesis and combine like terms

18x² - 6x - 12x + 4

18x² - 18x + 4

The equivalent of the given expression (6x−4)(3x−1) is 18x² - 18x + 4.

Hence, option C)18x² - 18x + 4 is the correct answer.

Learn more about FOIL Method here: https://brainly.com/question/2092062

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⚠️⚠️⚠️PLEASE ANSWER ASAP ILL GIVE BRAINLIEST ⚠️⚠️⚠️

Select all of the applicable transformations from the parent function y=x^2 to y=-(x+2)^2-3

reflection

vertical translation up 2

vertical translation down 3

vertical translation up 3

horizontal translation left 3

horizontal translation right 2

horizontal translation left 2

compression by a factor of 3

stretch by a factor of 2

Answers

Answer:

reflection

vertical translation down 3

horizontal translation right 2

Step-by-step explanation:

Given

[tex]y = x^2[/tex] ---> Parent function

[tex]y = -(x+2)^2-3[/tex]

Required

All possible transformations

First, the parent function is reflected across the x-axis:

This gives:

[tex]y = x^2[/tex] [tex]==>[/tex] [tex]y =-x^2[/tex]

Next, it is translated horizontally right by 2

The rule is:

[tex](x,y)==>(x+2,y)[/tex]

So:

[tex]y =-x^2[/tex] [tex]==>[/tex] [tex]y = -(x +2)^2[/tex]

Lastly: it is translated vertically down by 3

The rule is:

[tex](x,y)==>(x,y-3)[/tex]

So:

[tex]y = -(x +2)^2[/tex] [tex]==>[/tex] [tex]y = -(x +2)^2 - 3[/tex]

sum of exactly two terms that is equivalent to 3(6x + 9y).

Answers

Answer:

18x+27y

Step-by-step explanation:

i think it’s 18x+27y

Macon eats 33 animal crackers as a snack every day after school. how many animal crackers does she eat during a 5 day school day? write the equation.

Answers

Answer:

165 crackers.

Step-by-step explanation:

33x5=165 crackers

Please give correct answer I will offer brainalist + 10 points if correct (:

Answers

Answer: D. Supplementary angles

Answer:

The answer is C!! :)

Step-by-step explanation:

[4x(7-2)+10] •divided by• (13-3)

Answers

(4x5+10)/10= (20+10)/10= 30/10=3

Answer:

260x+127

Step-by-step explanation:

i think its right

Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is $5.00 and a small lemonade is $2.00.

The expression represents 50% of the money he collects.

0.50(5l + 2s)

Use the Distributive Property to expand the expression.

Answers

Answer:

0.5 x 4 + 0.50 x 3

Step-by-step explanation:

Everthying in the parenthases is being multiplied by 0.5 or 0.50

Giving Brainliest Go FASTTTTT

Answers

ANSWER

8, M<D=80°

M<E=60°

M<F=40°

X=5

Y=18

Scale factor of triangle ABC : triangle DEF= 3

9, X=20

Y=16

Z=10

m<D=61°

m<E=75°

m<G=112°

m<B=112°

scale factor ABCD : EFGH = 1.6

The measures of the sides of a triangle are 48, 55, and 72. Use the Pythagorean Theorem to classify
the triangle as acute, obtuse, or right. *
Acute
Obtuse
Right
None of the above

Answers

Answer:

acute

Step-by-step explanation:

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