Mathematics High School

Write an equation in point-slope form and slope-intercept form for each line
1. passes through (1, 9), slope = 2
2. passes through (4, -1), slope = -3

Answers

Answer 1

An equation of a line in point-slope form:  y - y₁ = m(x - x₁)

1.

passes through (1, 9)   ⇒   x₁ = 1,  y₁ = 9

slope: m = 2

The equation:

y - 9 = 2(x - 1)          ←  point-slope form      

y - 9 = 2x - 2           {add 9 to both sides}

y = 2x + 7                ←    slope-intercept form  

2.

passes through (4, -1)   ⇒   x₁ = 4,  y₁ = -1

slope: m = -3

The equation:

y + 1 = -3(x - 4)           ←  point-slope form      

y + 1 = -3x + 12           {subtract 1 from both sides}

y = -3x + 11                ←    slope-intercept form  

Related Questions

The Fast Repair Shop charges a $25 fee plus $30 an hour for labor. Write the equation for the cost of the repair job, y, if the repair job took x hours.​

Answers

Answer:

y=30x+25

Step-by-step explanation:

y=mx+b (slope-intercept formula)

y= amount of money per hour of labor

m= 30 (amount per hour, slope)

b= 25 (y-intercept, starting rate)

PLEASEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPP

Answers

Answer:

The equation is x-18 + 8x = 180 (because they form a linear pair of angles.

Each angle measure:-

x-18 + 8x = 180

x + 8x = 180 + 18 (-18 becomes +18)

9x = 198

x = 198/9

x = 22

Angle 1 = x-18 = 22-18 = 4 degrees

Angle 2 = 8x = 8 * 22 = 176 degrees

Hope it helps :')

Solve the logarithmic equation with Properties of Logs

Answers

Answer:

Simplifying

logx + -4 = 0

Reorder the terms:

-4 + glox = 0

Solving

-4 + glox = 0

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + glox = 0 + 4

Combine like terms: -4 + 4 = 0

0 + glox = 0 + 4

glox = 0 + 4

Combine like terms: 0 + 4 = 4

glox = 4

Divide each side by 'lox'.

g = 4l-1o-1x-1

Simplifying

g = 4l-1o-1x-1

Answer:

[tex]x=40000[/tex]

Step-by-step explanation:

[tex]log(x)-log(4)=4\\log(\frac{x}{4})=4\\\frac{x}{4} = 10^4 \\x=4*10^4=40000[/tex]

Five students participated in an Easter egg hunt. Ally snatched up one

quarter of all of the eggs. Brett only managed to get half of what Ally

found. Lee snagged six more than Brett. Jen ended up with half of Lee's

take, while Lisa snagged three times that. How many eggs were there in

total?

Answers

Answer:

There were a total of 72 Easter eggs.

Step-by-step explanation:

Since five students participated in an Easter egg hunt, where Ally snatched up one quarter of all of the eggs, Brett only managed to get half of what Ally found, Lee snagged six more than Brett, Jen ended up with half of Lee's take, While Lisa snagged three times that, to determine how many eggs were there in total, the following calculation must be performed:

Ally: 0.25X

Brett: 0.125X

Read: 0.125X + 6

Jen: 0.0625X + 3

Smooth: 0.1875X + 9

X - 0.25X - 0.125X - 0.125X - 0.0625X - 0.1875X = 0.25

0.25X = 6 + 3 + 9

0.25X = 18

Ally: 18

Brett: 9

Read: 15

Jen: 7.5

Smooth: 22.5

18 + 9 + 15 + 7.5 + 22.5 = X

72 = X

Thus, there were a total of 72 Easter eggs.

At the state fair, admission at the gate is $9. In addition, the cost of each ride is $2. Suppose that Reuben will go on x rides.
Reuben wants the total number of dollars he spends on admission and rides to be fewer than . Using the values and variables given, write an inequality describing this.

Answers

Answer:

i think you forgot to add how little he wants to spend

Step-by-step explanation:

Reuben wants the total number of dollars he spends on admission and rides to be fewer than ??? whats the number that he wants to spend

help me with this plsss

Answers

i’m trying to get points ignore this, sorry i didn’t know how to help :(!

Reduce: [(p → q)] ∧ q] ∧ [(q → p) ∧ p]

Answers

what? bro I am confused is this a question?

Convert 456,300,000 to scientific notation.

Answers

Answer:

I believe it would be 4.563 x 10^8

What is the five- number summary of the following data set

52,53,55,59,60,64

Answers

The answer would be A. What we notice is the first, third, fourth, and fifth numbers are all the same in each set. But since the middle of 53 and 55 is 54; answer choice A would be correct.

What is the measure of ∠x?

Answers

Answer:

117+x=180°(sum of straight line)

Step-by-step explanation:

x=180-117

x=63

It should be 105.

44 + 31 = 75

180 - 75 = 105.

What’s the answer????

Answers

Answer:

I believe its 10 but forgive me if I'm wrong

48/6 = 8 highlights in each box

x/3 less than or equal to 7

Answers

Answer:

x ≤ 21

Step-by-step explanation:

x/3 ≤ 7

x ≤ 21

Answer:

x ≤ 21

Step-by-step explanation:

With this problem, we have to solve for x, and to do that, we isolate the variable.

To do this, let’s get rid of the /3 from the x by multiplying both sides by 3

now we get x ≤ 7 times 3

finall, we get x≤21

Please help if you wantbbrainleist! :(

Answers

Box 2 I believe is correct because 3 x 1 x 2 is 6.

You place two wooden support beams under a shelf, as shown. Find the value of x

Answers

Answer:

17x

Step-by-step explanation:

so first 2x is 2 x x = 2x

then +10 =12x then 5 + x = 5x so 5x + 12x = 17x

What is the greatest common factor of the numbers
15,30 , and 75 ?

Answers

Answer:

15

Step-by-step explanation:

Prime Numbers Check

15: 5 * 3

30: 2 * 3 * 5

75: 3 * 5 * 5

Both 3 and 5 are prime numbers present in all 3 greater numbers, then you multiply them

3*5 = 15

GCF is 15

pls helpppppp !!
tysmmmm <33

Answers

Answer:

180

Step-by-step explanation:

From basic rules of a triangle we know that the interior angles of a triangle have to add up to equal 180°

But here is a formula for future references for finding the sum of the interior angles

interior angle sum = (n-2)180

where n = number of sides

and here is an example:

a triangle has 3 sides so we plug in 3 for n

(3-2)180

3-2=1

1*180 = 180

so the interior angles add up to equal 180

Solve this please!!!!!

Answers

328 hope this helps

Pls mark brainliest!

Lisa can mow the lawn in 3 hours. If Rhianna helps her with another mower, the lawn can be mowed in 2 hours. How long would it take Rhianna if she worked alone? PLEAsE HELPPPP

Answers

Answer:

5 hours or 300 mins

Step-by-step explanation:

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

since it is Right angled isosceles triangle it's base side are equal

by using Pythagoras law

x²+x²=1²

2x²=1

x=√{1/2}or 0.707 or 0.71

What is the slope of the line that
passes through these two points?
(1, 2)
(2, 8)
(x1.yı) Slope =
rise (y2-yı)
Remember, given two points,
(x2:y2) run (x2-x1)

Answers

Answer:

6

Step-by-step explanation:

8 - 2 / 2 - 1

6 / 1

6

Which of the following are characteristics of a tortoise in a desert environment that distinguish the tortoise as a living thing?
Choose the THREE that apply.
A. It needs food.
B. It reproduces.
C. It uses energy.
D. It takes up space.
E. It is made up of atoms.

Answers

Answer:

A.

B.

E.

Step-by-step explanation:

hope this helps ❤️

Answer
B.
A.
E.
It’s not c because there are many things that can contain energy

2
Select the correct answer from each drop-down menu.
Consider polynomial function f.
f(x) = (1 - 1)?(1 + 3)3 (+ 1)
Use the equation to complete each statement about this function.
The zero located at x = 1 has a multiplicity of , and the zero located at x = -3 has a multiplicity of
The graph of the function will touch, but not cross, the x-axis at an x-value of
Reset
Next

Answers

Answer:

2 of the 3 answers in picture

Step-by-step explanation:

Answer:

The answers are 2, 3, and 1 only

Step-by-step explanation:

This is the correct answer for plato users

What is the value of g^-1(7)? PLEASE HELP!!! I’ll give brainliest!!

Answers

Answer: g-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 is the correct answer

anyone know the answers to 3, 4, 5 and six

Answers

3) would be D ! , 4) would be letter J , & 5) would be letter C ! Hope it helps !!!

Look at photo for the question and answer choices... NO LINKS OR BLANK ANSWERS
(also i added a cute/funny question aswell)
another needed question!: https://brainly.com/question/23040227

Answers

Answer:

Rhombus Square

Step-by-step explanation:

Which pairs of polygons are congruent? A. pairs 1, 2, 3, and 4 B. pairs 1 and 4 C. pairs 1, 2, and 3 D. pairs 2 and 4

Answers

D. Pair 2 and 4

Pair 2 are the same size and shape
Pair 4 are same size and shape
Pair 1 is different size different shape
Pair 3 is different size same shape

Which is the correct comparison?
4.25 hours = 260 minutes
260 minutes > 4.25 hours
4.25 hours > 260 minutes
260 minutes < 4.25 hours

Answers

Answer:

260 minutes > 4.25 hours

Step-by-step explanation:

1h=60 min.

0.25 h=¼h=¼*60min=15min.

4.25h=4h+0.25h=60*4+15min=240+15=255min

260>255

Answer:

60+60+60+60=240

240/4=4,25

=4,25


Is x = 5 a solution to the equation 19 - x = 14?

Answers

Answer:

Yes

Step-by-step explanation:

Test the equation by substituting 5 in for x:

19- 5 =14

14=14

TRUE

If I helped, a brainliest would be greatly appreciated!

Answer: If you replace x with 5 then 19-5=14

Step-by-step explanation:

4th grade math helplolll

Answers

Answer:

175 dollars

Step-by-step explanation:

from that word problem the equation that i was able to get out of it was

1225/ 7

^ the travel allowance and how much days they are going to be there

i dont know if you are allowed to use a calculator in your class but puting 1225/ 7 does give you a answer of a positive number of 175 dollars

meaning that they can only use 175 dollars a day so they dont go over the allowance

i hope this helps you! please stay safe and have a good day :)

Answer:

Um, the answer for that is 175.

Step-by-step explanation:

all you need to do is divide $1,225 by 7 which is 175.

plz tell about congruent and similar triangles​

Answers

Similar: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

____________________________________________________________

Congruent: SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

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