Mathematics High School

18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0

Answers

Answer 1

Answer:

a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Step-by-step explanation:

The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form

That is:

y = mx = c

where m is the slope and c is the y-intercept

Part a:

6(x+y) = 3(x-y)

2(x+y) = x-y

2x + 2y = x - y

3y = -x

[tex]y = \frac{-1}{3}x[/tex]

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

Part b:

2(x+y) = 5(y+1)

2x + 2y = 5y + 5

3y = 2x - 5

[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]

Comparing this with general formula, we can conclude that:

The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

Part c:

5x + 10y -20 = 0

10y = -5x + 20

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

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Hope this helps :)

Related Questions

Lucas is making 12 jumbo muffins to sell at his class bake sale . He has 2 bowls full of batter what fraction of a bowl of batter should Lucas put in each muffin cup ?

Answers

Answer:

1/6 of a bowl of batter

Step-by-step explanation:

Find out how much muffins is needed for 1 bowl.

2 bowls = 12 muffins

1 bowl = 12 ÷ 2 = 6 muffins

Since 1 bowl can fill 6 muffins, it's 1/6

plz help i can not figure this out

Answers

Answer: 30 cubic units

Step-by-step explanation:

Since the base has a volume of 2x3 or 6 and he plans on making the height 5 we must mutliply the base by height to get the new voulme so 6*5=30

Answer:30 cubic units

Write the recursive formula for this sequence: 3, 1, -1, ... *

Answers

Answer:

the answer is 5-2n please do you get it

Am not the smartest can someone help me.

Answers

Answer:

4 7/10

Step-by-step explanation:

Answer:

4 7/10

Step-by-step explanation:

Convirt all the fractions into 1/10ths. Makes addition easy. Hope this helps

t/12 = 4
solve for the solution

Answers

T/12=4
Then t=12*4=48

Please help as quickly as possible, this is Algebra 1!

Answers

Answer:

First-term is 7

The second term is 14

and the third term is 28

i think so im not 100%


What is the equation of the line that passes through the point (-4, -6) and has a
slope of -1/2?

Answers

Answer:

y=(-1/2)x-8

Step-by-step explanation:

Answer:

y=-1/2x - 8

Use desmos to help with these problems

Help please
Brainiest answer to whoever is first

Answers

Answer:

75

Step-by-step explanation:

The answer is 66 because you add every side.

what is pi and how invented it??

Answers

Answer:

Step-by-step explanation:

The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.

Answer:

π is a mathematical constant. Its commonly used value is 3.14. There is a expanded value for π. It appears in many formulas in all areas of mathematics and physics. In maths, it is commonly used for solving of circles and spheres.

The π was invented by Archimedes of Syracuse. He was one of the greatest mathematicians of the ancient world.

which is a rational number
a) 1.4142135623
b) 3.6256256
c) 2 (pie)
d) squared 5​

Answers

Answer:

Rational numbers can be expressed as a fraction

Squared 5 = 25

25 can be expressed as  a  fraction- 25/1, so d is correct.

Let me know if this helps!

5 squared is right im sorry i miss read it

INSTRUCTIONS: Calculate the Mean, Median, Mode, and Range from the data set (February 14-28, 2021).
10.9, 10.4, 9, 5.7, 7.8, 9.3, 2.2, 11, 9.6, 4.8, 7.4, 8.4, 7.7, 10.8, 7.7, 10.8, 13.7 (PLS HELP)

Answers

Answer:

The mean is 128.7

There is no mode

The median is 9

The range is 11.5

Step-by-step explanation:

A truck travels 333 km in 6 hours. What is the truck’s speed for that trip?

Answers

Answer:

55.5 km

Step-by-step explanation:

speed=distance/time

55.5= 333/6

Answer:

55.5 km per hour

Step-by-step explanation:

The simple formula is D_S-T

D is at the top for Distance

S is down to the left for speed

And T to the right as Time

Its simple so just take

Distance: 333km

Time: 6 hrs

333÷5=55.5/1

Find the surface area. Answer without units.
18 cm
11 cm
9cm
Please help hurry

Answers

Answer:

306

Step-by-step explanation:

v = 1/3bh

2×(18×11 + 18×9 + 11×9) / 3 = 918/3

= 306

hope this helps, mark brainliest if it did luv gl !

what is the area to this triangle

Answers

Answer:

12 x 12 = 144 divided by 2 = 72, 72 is your answer formula of a triangle: BH x 1/2

Step-by-step explanation:

72 square cm

Maria sells painting in a art gallery. She earns $375 each week plus a commission of 2.5% of her swelled. What is the minimum amount of sales she must have this week to earn at lease $500.

Answers

Answer:

5000.00

Step-by Step

500.00-375.00 = 125.00

5000 x 2.5% = 125.00

375.00 + 125.00 = 500.00

HELPP with part (b) will make brainlest !!!!!

Answers

Answer:

I dont no the answer

Step-by-step explanation:

but maybe try the app socratic

The following can be decomposed in ????

Answers

Answer:

Triangle & semicircle

Step-by-step explanation:

A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?
a) -5
b) 0
c) 1
d) 6​

Answers

I think it is c, even tho the solution is 0, you still have one solution.

Answer: c

Step-by-step explanation:

The equation 7h=63 can be used to find how many hours h a person needs to work to earn $63 at $7 per hour. How many hours does a person need to work to earn $63?

HELPPP ME QUICKLY I HAVE TO SHOW MY WORK ALSO

Answers

Answer:

The equation 7h=63 can be used to find how many hours h a person needs to work to earn $63 at $7 per hour. How many hours does a person need to work to earn $63?

Step-by-step explanation:

The equation 7h=63 can be used to find how many hours h a person needs to work to earn $63 at $7 per hour. How many hours does a person need to work to earn $63?

Answer:

9 hours

Step-by-step explanation:

7h=63

divide both sides by 7 to get 9

7h/7=h

63/7=9

h=9

the relationship between a and b if a + b = 0

Answers

Answer:

a=-b

Step-by-step explanation:

a+b=0a=-b

Or,

b=-a

HELP ILL GIVE BRAINLIEST what shape is the base??

Answers

Answer:

rectangle

Step-by-step explanation:

it's width is 6

it's length  is 12

it couldn't be a square

Help me with this pls

Answers

Answer:

C

Step-by-step explanation:

I need help and show work​

Answers

-4+(-3)
=-7

since it’s two negatives , you’re just adding them

6) Find the value of x.
AKLM-ACDE
4x + 5
E
D
55
L
132
108
M M
K

Answers

Answer:

55 ? i think

Step-by-step explanation:

i just had the same question

Lucy earned $24 for tutoring 2 students for 1 hour each. How much can she earn for tutoring 15 students for 1 hour each?

Answers

Answer:

Step-by-step explanation:

15(24/2)=$180

How far up the house would a ladder be resting if it is 25 ft long and 3 ft
away from the house? Round to the nearest tenth if necessary.
5.3 ft
21 ft
24.8 ft
25.2 ft

Answers

Answer:

C

Step-by-step explanation:

The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.

Givens

a = 3

b = ?

c = 25 feet

Formula

a^2 + b^2 = c^2

Solution

3^2 + b^2 = 25^2

9 + b^2 = 625                  Subtract 9 from both sides.

b^2 = 625 - 9

b^2 = 616                        Take the square root of both sides.

b = sqrt(616)

b = 24.8

The following are the ages (years) of 5 people in a room:
17, 21, 15, 15, 25
A person enters the room.
The mean age of the 6 people is now 25.
What is the age of the person who entered the room?​

Answers

Answer:

57 years

Step-by-step explanation:

total=25*6=150

17+21+15+15+25+x=150

93+x=150

x=150-93

x=57

Answer:

age=57

Step-by-step explanation:

ages=17 21 15 15 25 ?

17+21+15+15+25=93(old mean)

17+21+15+15+25+?=25(new mean)

25(new mean)*6(number of numbers)=150

?=150-93=57

= 57

In a survey of 3,200 people who owned a certain type of car, 1,920 said they would
buy that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car

Answers

Answer: 60%

Step-by-step explanation: 1920/3200=.6  .6 in a percentage is 60%

Part 1: What is the rate of rice to quarts of water for this recipe that uses 4 pounds of rice and 5 quarts of boiling water?​

Answers

Given:

A recipe uses 4 pounds of rice and 5 quarts of boiling water.

To find:

The rate of rice to quarts of water for this recipe.

Solution:

We need to divide the amount of rice by amount of water to get the rate of rice to quarts of water for this recipe.

[tex]\text{Required rate}=\dfrac{\text{Rice in pounds}}{\text{Water in quarts}}[/tex]

[tex]\text{Required rate}=\dfrac{4}{5}[/tex]

[tex]\text{Required rate}=0.8[/tex]

Therefore, the  rate of rice to quarts of water for this recipe is 0.8.

Simplify the radical expression.

2√10 . 3√12


A.12√60
B.5√120
C.12√30
D.6√120


Simplify the radical expression.

√14q . 2√4q

A.3√56q
B.4q√14
C.2√56q^2
D.4√14q^2



Simplify the radical expression by rationalizing the denominator.


4/√11

A.11√4
B.4√11
C.4√11/11
D.√121/11

Answers

Your answers are:
1) C.
2) B.
3) C.
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